Our name 24HourAnswers means you can submit work 24 hours a day - it doesn't mean we can help you master what you need to know in 24 hours. If you make arrangements in advance, and if you are a very fast learner, then yes, we may be able to help you achieve your goals in 24 hours. Remember, high quality, customized help that's tailored around the needs of each individual student takes time to achieve. You deserve nothing less than the best, so give us the time we need to give you the best.
If you need assistance with old exams in order to prepare for an upcoming test, we can definitely help. We can't work with you on current exams, quizzes, or tests unless you tell us in writing that you have permission to do so. This is not usually the case, however.
We do not have monthly fees or minimum payments, and there are no hidden costs. Instead, the price is unique for every work order you submit. For tutoring and homework help, the price depends on many factors that include the length of the session, level of work difficulty, level of expertise of the tutor, and amount of time available before the deadline. You will be given a price up front and there is no obligation for you to pay. Homework library items have individual set prices.
We accept credit cards, debit cards, PayPal, Venmo, ApplePay, and GooglePay.
One of the broadest fields in mathematics and engineering is signal processing. Whether the signals are analog or digital, image or video, human voice or music, signal processing is concerned with methods and algorithms for analysis and synthesis, representation, and sensing and modeling of those signals. A signal is, in fact, any physical or symbolic carrier of the information. For instance, a human voice is an example of an analog signal, since our words are transferred to a person we talk to in the form of sound waves (audio signal). Conversely, a message from one computer to the other is delivered in bits, and consists of long arrays of 1’s and 0’s designed in a specific way, which constitute a digital signal. The knowledge and skills of signal processing are of importance in both academia and industry, especially in the closely related fields of machine learning, data compression, communication engineering, time series analysis, medical imaging, automatic control, etc.
Signal processing is frequently a part of academic education for applied mathematics, various engineering fields, and sound and graphic design. Courses in signal processing usually cover most of these standard topics:
The tutors in our math department are specialized to help in any of the mentioned subtopics, as their educational background is from such fields as applied mathematics, electrical engineering, or computer science. Whether you have an assignment which requires an underlying knowledge of probabilistic theory, linear algebra and calculus, or whether you have a more practical task to implement a theoretical model in appropriate programming language and development environment (C/C++, MATLAB, Python, R, SPSS, Eclipse, etc.), we can assist you. Some of the topics in which we tutor range from the fundamental time-frequency manipulations, such as convolution, windowing and Fourier transform, to the more advanced applications such as adaptive filtering, ARMA modelling, or parametric spectral estimations with ESPRIT and MUSIC algorithms.
The applications in which signal processing is crucial are vast and ever increasing. Let’s just take a simple phone call for example, whether using mobile telephony or a Voice over IP (VoIP) application such as Skype or WhatsApp. On the sender’s side, it first requires analog-to-digital (AD) conversion of speech, coding the signal according to GSM standards, and employing cancellation of the surrounding noise. On the receiver’s side, the signal is decoded and converted from digital back to analog signal (DA conversion) and the sound is produced using filters. The numerous jpeg images, MP3 songs and MP4 clips stored on our phones, are typical examples of audio, image and video compression, respectively. Signal processing is also applicable to remote sensing, ranging across various body scanners (CAT, MRI, airport security check), volcano and seismic activity analysis, and consumer electronics (hearing aids, echo and previously mentioned noise cancellation).
In addition to any course books you may have, the Internet is rich in resources on signal processing. Whether you prefer online lectures or spreadsheets with problems and solutions, or maybe just want to follow the latest topics in the field, here are some places to begin looking:
Open course from École Polytechnique Fédérale de Lausanne (EPFL): https://www.coursera.org/learn/dsp
Since we have tutors in all Signal Processing related topics, we can provide a range of different services. Our online Signal Processing tutors will:
With these capabilities, our college Signal Processing tutors will give you the tools you need to gain a comprehensive knowledge of Signal Processing you can use in future courses.
Our tutors are just as dedicated to your success in class as you are, so they are available around the clock to assist you with questions, homework, exam preparation and any Signal Processing related assignments you need extra help completing.
In addition to gaining access to highly qualified tutors, you'll also strengthen your confidence level in the classroom when you work with us. This newfound confidence will allow you to apply your Signal Processing knowledge in future courses and keep your education progressing smoothly.
Because our college Signal Processing tutors are fully remote, seeking their help is easy. Rather than spend valuable time trying to find a local Signal Processing tutor you can trust, just call on our tutors whenever you need them without any conflicting schedules getting in the way.
1 x Booting (50.1%) | 342ms |
1 x Application (49.9%) | 341ms |
511 x Illuminate\Cache\Events\CacheHit (27.62%) | 189ms |
29 x Illuminate\Database\Events\StatementPrepared (8.61%) | 58.75ms |
29 x Illuminate\Database\Events\QueryExecuted (5.9%) | 40.24ms |
1 x creating: site.blocks.subject-homework (1.32%) | 9.01ms |
6 x creating: components.tutors-card (0.68%) | 4.67ms |
6 x Illuminate\Cache\Events\CacheMissed (0.6%) | 4.10ms |
6 x Illuminate\Cache\Events\KeyWritten (0.33%) | 2.24ms |
1 x Illuminate\Foundation\Events\LocaleUpdated (0.26%) | 1.77ms |
2 x Illuminate\Database\Events\ConnectionEstablished (0.21%) | 1.42ms |
1 x creating: site.blocks.reviews (0.14%) | 963μs |
8 x eloquent.retrieved: App\Models\SubjectCat (0.13%) | 903μs |
1 x Illuminate\Routing\Events\Routing (0.12%) | 830μs |
1 x creating: site.blocks.text-with-image (0.09%) | 589μs |
4 x eloquent.retrieved: App\Models\Twill\TwillFaq (0.08%) | 542μs |
4 x creating: components.faq-item (0.07%) | 485μs |
1 x eloquent.booting: App\Models\User\TutorAttributes\TutorDegree (0.07%) | 460μs |
6 x composing: components.tutors-card (0.06%) | 406μs |
1 x creating: components.canonical (0.06%) | 405μs |
6 x eloquent.retrieved: App\Models\Twill\Slugs\TwillFaqSlug (0.06%) | 395μs |
1 x eloquent.booting: App\Models\User\Tutor (0.05%) | 370μs |
1 x creating: site.blocks.how-it-works (0.05%) | 358μs |
1 x eloquent.booting: App\Models\Twill\TwillFaq (0.05%) | 349μs |
4 x composing: components.faq-item (0.05%) | 348μs |
2 x eloquent.retrieved: App\Models\Subject (0.05%) | 338μs |
1 x creating: site.headers.header (0.05%) | 334μs |
1 x Illuminate\Routing\Events\RouteMatched (0.05%) | 326μs |
1 x creating: site.blocks.subject-tutors (0.04%) | 303μs |
1 x eloquent.booting: App\Models\Meta (0.04%) | 302μs |
1 x creating: components.breadcrumbs (0.04%) | 289μs |
1 x eloquent.booted: App\Models\SubjectCat (0.04%) | 246μs |
1 x creating: components.homework-blocks (0.04%) | 245μs |
1 x creating: components.forms.contact-us (0.03%) | 238μs |
1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (0.03%) | 234μs |
1 x eloquent.booting: App\Models\Subject (0.03%) | 225μs |
1 x creating: site.layouts.app (0.03%) | 222μs |
1 x eloquent.booting: App\Models\Twill\Slugs\TwillFaqSlug (0.03%) | 217μs |
1 x composing: components.forms.contact-us (0.03%) | 217μs |
1 x creating: site.blocks.work-with-tutors (0.03%) | 200μs |
1 x eloquent.booted: App\Models\User\Tutor (0.03%) | 196μs |
6 x eloquent.retrieved: App\Models\User\Tutor (0.03%) | 185μs |
1 x creating: components.forms.get-started (0.03%) | 183μs |
1 x creating: components.open-graph (0.03%) | 181μs |
6 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (0.03%) | 180μs |
1 x creating: components.tutors-cards (0.03%) | 176μs |
1 x composing: subjects.show (0.03%) | 171μs |
1 x eloquent.booted: App\Models\Twill\TwillFaq (0.02%) | 169μs |
1 x creating: components.forms.claim-free-worksheet (0.02%) | 163μs |
1 x composing: components.canonical (0.02%) | 147μs |
1 x creating: site.blocks.faq (0.02%) | 138μs |
1 x creating: site.blocks.submit-homework (0.02%) | 135μs |
1 x composing: components.breadcrumbs (0.02%) | 131μs |
1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (0.02%) | 128μs |
1 x creating: subjects.show (0.02%) | 115μs |
1 x composing: components.homework-blocks (0.02%) | 104μs |
1 x eloquent.booting: App\Models\SubjectCat (0.02%) | 103μs |
1 x creating: components.forms.free-tool-download (0.01%) | 98μs |
1 x creating: components.forms.tutor-subscription-waitlist (0.01%) | 97μs |
1 x creating: components.forms.tutor-support (0.01%) | 95μs |
1 x creating: components.forms.tutor-subscription-join (0.01%) | 93μs |
1 x composing: components.footer (0.01%) | 85μs |
1 x eloquent.retrieved: App\Models\Meta (0.01%) | 82μs |
1 x composing: site.headers.header (0.01%) | 79μs |
1 x creating: components.footer (0.01%) | 79μs |
1 x composing: components.tutors-cards (0.01%) | 79μs |
1 x composing: components.open-graph (0.01%) | 74μs |
1 x eloquent.booted: App\Models\Twill\Slugs\TwillFaqSlug (0.01%) | 72μs |
1 x composing: components.forms.get-started (0.01%) | 71μs |
1 x eloquent.booted: App\Models\Subject (0.01%) | 69μs |
1 x composing: components.forms.claim-free-worksheet (0.01%) | 66μs |
1 x composing: components.forms.tutor-subscription-waitlist (0.01%) | 64μs |
1 x composing: components.forms.free-tool-download (0.01%) | 63μs |
1 x composing: components.forms.tutor-support (0.01%) | 63μs |
1 x composing: components.forms.tutor-subscription-join (0.01%) | 62μs |
1 x eloquent.booted: App\Models\Meta (0.01%) | 55μs |
1 x composing: site.blocks.how-it-works (0.01%) | 48μs |
1 x eloquent.booted: App\Models\User\TutorAttributes\TutorDegree (0.01%) | 44μs |
1 x composing: site.blocks.subject-homework (0%) | 27μs |
1 x composing: site.blocks.text-with-image (0%) | 23μs |
1 x composing: site.blocks.subject-tutors (0%) | 22μs |
1 x composing: site.blocks.reviews (0%) | 21μs |
1 x composing: site.blocks.work-with-tutors (0%) | 19μs |
1 x composing: site.layouts.app (0%) | 18μs |
1 x composing: site.blocks.submit-homework (0%) | 18μs |
1 x composing: site.blocks.faq (0%) | 17μs |
Backtrace |
|
select * from `subjects` where `urlFriendlyTitle` = 'Signal-Processing' limit 1
Bindings |
|
Backtrace |
|
select * from `subject_cats` where `subject_cats`.`id` in (1)
Backtrace |
|
select * from `meta` where `meta`.`id` = 3 limit 1
Bindings |
|
Backtrace |
|
Backtrace |
|
select count(*) as aggregate from `users` where (`subjectsQualified` like '%|48|%' or `DSF_subjectsQualified` like '%|48|%' or `allsubjects` = 1) and `disable_profile` = 0 and `picture` != '' and `solutionrequestQualified` = 1 and `is_suspended` = 0 and `is_deactivated` = 0 and `status` != '' and `status` = 'tutor'
Bindings |
|
Backtrace |
|
select * from `users` where (`subjectsQualified` like '%|48|%' or `DSF_subjectsQualified` like '%|48|%' or `allsubjects` = 1) and `disable_profile` = 0 and `picture` != '' and `solutionrequestQualified` = 1 and `is_suspended` = 0 and `is_deactivated` = 0 and `status` != '' and `status` = 'tutor' order by `completed_requests` desc limit 6 offset 0
Bindings |
|
Backtrace |
|
select * from `tutor_degrees` where `tutor_degrees`.`tutor_id` = 2821 and `tutor_degrees`.`tutor_id` is not null order by `year` desc limit 1
Bindings |
|
Backtrace |
|
select * from `subject_cats` where `subject_cats`.`id` = 5 limit 1
Bindings |
|
Backtrace |
|
select * from `subject_cats` where `subject_cats`.`id` = 34 limit 1
Bindings |
|
Backtrace |
|
select * from `subject_cats` where `subject_cats`.`id` = 10 limit 1
Bindings |
|
Backtrace |
|
select * from `tutor_degrees` where `tutor_degrees`.`tutor_id` = 6531 and `tutor_degrees`.`tutor_id` is not null order by `year` desc limit 1
Bindings |
|
Backtrace |
|
select * from `subject_cats` where `subject_cats`.`id` = 31 limit 1
Bindings |
|
Backtrace |
|
select * from `tutor_degrees` where `tutor_degrees`.`tutor_id` = 76351 and `tutor_degrees`.`tutor_id` is not null order by `year` desc limit 1
Bindings |
|
Backtrace |
|
select * from `subject_cats` where `subject_cats`.`id` = 9 limit 1
Bindings |
|
Backtrace |
|
select * from `subject_cats` where `subject_cats`.`id` = 42 limit 1
Bindings |
|
Backtrace |
|
select * from `tutor_degrees` where `tutor_degrees`.`tutor_id` = 76787 and `tutor_degrees`.`tutor_id` is not null order by `year` desc limit 1
Bindings |
|
Backtrace |
|
select * from `tutor_degrees` where `tutor_degrees`.`tutor_id` = 99878 and `tutor_degrees`.`tutor_id` is not null order by `year` desc limit 1
Bindings |
|
Backtrace |
|
select * from `tutor_degrees` where `tutor_degrees`.`tutor_id` = 105692 and `tutor_degrees`.`tutor_id` is not null order by `year` desc limit 1
Bindings |
|
Backtrace |
|
select count(*) as aggregate from `solutionslibrary` where exists (select * from `subjects` where `solutionslibrary`.`subject` = `subjects`.`id`) and `subject` = 48 and `status` = 'published' and `price` > 0
Bindings |
|
Backtrace |
|
select * from `solutionslibrary` where exists (select * from `subjects` where `solutionslibrary`.`subject` = `subjects`.`id`) and `subject` = 48 and `status` = 'published' and `price` > 0 order by `purchase_count` desc limit 6 offset 0
Bindings |
|
Backtrace |
|
select * from `subjects` where `subjects`.`id` in (48)
Backtrace |
|
select * from `subject_cats` where `subject_cats`.`id` in (1)
Backtrace |
|
select * from `twill_faqs` where exists (select * from `twill_faq_slugs` where `twill_faqs`.`id` = `twill_faq_slugs`.`twill_faq_id` and `slug` = 'can-you-help-me-with-my-homework-in-less-than-24-hours' and `active` = 1 and `locale` = 'en' and `twill_faq_slugs`.`deleted_at` is null) and `twill_faqs`.`deleted_at` is null limit 1
Bindings |
|
Backtrace |
|
select * from `twill_faq_slugs` where `twill_faq_slugs`.`twill_faq_id` in (1) and `twill_faq_slugs`.`deleted_at` is null
Backtrace |
|
select * from `twill_faqs` where exists (select * from `twill_faq_slugs` where `twill_faqs`.`id` = `twill_faq_slugs`.`twill_faq_id` and `slug` = 'can-you-help-me-with-my-examquiztest' and `active` = 1 and `locale` = 'en' and `twill_faq_slugs`.`deleted_at` is null) and `twill_faqs`.`deleted_at` is null limit 1
Bindings |
|
Backtrace |
|
select * from `twill_faq_slugs` where `twill_faq_slugs`.`twill_faq_id` in (2) and `twill_faq_slugs`.`deleted_at` is null
Backtrace |
|
select * from `twill_faqs` where exists (select * from `twill_faq_slugs` where `twill_faqs`.`id` = `twill_faq_slugs`.`twill_faq_id` and `slug` = 'how-much-will-it-cost' and `active` = 1 and `locale` = 'en' and `twill_faq_slugs`.`deleted_at` is null) and `twill_faqs`.`deleted_at` is null limit 1
Bindings |
|
Backtrace |
|
select * from `twill_faq_slugs` where `twill_faq_slugs`.`twill_faq_id` in (3) and `twill_faq_slugs`.`deleted_at` is null
Backtrace |
|
select * from `twill_faqs` where exists (select * from `twill_faq_slugs` where `twill_faqs`.`id` = `twill_faq_slugs`.`twill_faq_id` and `slug` = 'what-kind-of-payments-do-you-accept' and `active` = 1 and `locale` = 'en' and `twill_faq_slugs`.`deleted_at` is null) and `twill_faqs`.`deleted_at` is null limit 1
Bindings |
|
Backtrace |
|
select * from `twill_faq_slugs` where `twill_faq_slugs`.`twill_faq_id` in (4) and `twill_faq_slugs`.`deleted_at` is null
Backtrace |
|
200
[]
[]
0 of 0array:21 [▼ "priority" => array:1 [▶ 0 => "u=0, i" ] "accept-encoding" => array:1 [▶ 0 => "gzip, deflate, br, zstd" ] "sec-fetch-dest" => array:1 [▶ 0 => "document" ] "sec-fetch-user" => array:1 [▶ 0 => "?1" ] "sec-fetch-mode" => array:1 [▶ 0 => "navigate" ] "sec-fetch-site" => array:1 [▶ 0 => "none" ] "accept" => array:1 [▶ 0 => "text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.7" ] "user-agent" => array:1 [▶ 0 => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)" ] "upgrade-insecure-requests" => array:1 [▶ 0 => "1" ] "sec-ch-ua-platform" => array:1 [▶ 0 => ""Windows"" ] "sec-ch-ua-mobile" => array:1 [▶ 0 => "?0" ] "sec-ch-ua" => array:1 [▶ 0 => ""HeadlessChrome";v="129", "Not=A?Brand";v="8", "Chromium";v="129"" ] "cache-control" => array:1 [▶ 0 => "no-cache" ] "pragma" => array:1 [▶ 0 => "no-cache" ] "x-amzn-trace-id" => array:1 [▶ 0 => "Root=1-67f60349-50cf1e0e72a6f0d555098a22" ] "host" => array:1 [▶ 0 => "staging.dev.24houranswers.com" ] "x-forwarded-port" => array:1 [▶ 0 => "443" ] "x-forwarded-proto" => array:1 [▶ 0 => "https" ] "x-forwarded-for" => array:1 [▶ 0 => "13.58.91.217" ] "content-length" => array:1 [▶ 0 => "" ] "content-type" => array:1 [▶ 0 => "" ] ]
[]
0 of 0array:5 [▼ "content-type" => array:1 [▶ 0 => "text/html; charset=UTF-8" ] "cache-control" => array:1 [▶ 0 => "no-cache, private" ] "date" => array:1 [▶ 0 => "Wed, 09 Apr 2025 05:19:05 GMT" ] "set-cookie" => array:2 [▶ 0 => "XSRF-TOKEN=eyJpdiI6IkUrU0g3RGd0RVhEbzZRNUtOdUphOUE9PSIsInZhbHVlIjoic21nN09mM0F0S1hHcUEvQTBxbUsvQXBKMEJOK0RBdzlDVUNpSHVJTVZZcVd2NlRhK1R5T3ladHZoNTNFTU9ja2h0NVY1M3A0eHV1QnE3bW1Ma3Z3MkRiV0lHZ29SbW1Ma1RKMzNkQTRPRXZRT1pjajhUSVBBL0tNenR5Z01lUXMiLCJtYWMiOiJkYmQyMWU0NzgxM2I5MjkyYmIyOGFkODkwZDRlNGNmYjgxNGQwMWQzMzY5OTc2Mzc4NzNhYWFjZWE0ZmJjNDMxIiwidGFnIjoiIn0%3D; expires=Wed, 09 Apr 2025 07:19:05 GMT; Max-Age=7200; path=/; domain=.24houranswers.com; samesite=lax ◀XSRF-TOKEN=eyJpdiI6IkUrU0g3RGd0RVhEbzZRNUtOdUphOUE9PSIsInZhbHVlIjoic21nN09mM0F0S1hHcUEvQTBxbUsvQXBKMEJOK0RBdzlDVUNpSHVJTVZZcVd2NlRhK1R5T3ladHZoNTNFTU9ja2h0NVY1M ▶" 1 => "24houranswers_session=eyJpdiI6InNtb3pUQStqOUxNaUlXaVVEbjJjMHc9PSIsInZhbHVlIjoibEljS3A5NHRNQzZjQ1EvT3JlaHBLZGtpMlpHc2l0VjFrak5nMUdiYWU5K0FCT3IzU1U1alI3clExMVZSWUZWNGorOU5HcUd4aUc1NXVlcUFsS0JWQW5yUDE4T2tGUGhGRVFwN05RSnVsUnR4azZyNk42U2JuejFNaDBYVThyL3ciLCJtYWMiOiJjNWI3ZTQ5ZDIxZmEyODE2YTczZGVkN2NmZjFmYmY5YjMyMTgxNDViYzBmNDQ2ZmY0OWM2YTg4ODRmYTAxNGU0IiwidGFnIjoiIn0%3D; expires=Wed, 09 Apr 2025 07:19:05 GMT; Max-Age=7200; path=/; domain=.24houranswers.com; httponly; samesite=lax ◀24houranswers_session=eyJpdiI6InNtb3pUQStqOUxNaUlXaVVEbjJjMHc9PSIsInZhbHVlIjoibEljS3A5NHRNQzZjQ1EvT3JlaHBLZGtpMlpHc2l0VjFrak5nMUdiYWU5K0FCT3IzU1U1alI3clExMVZSWU ▶" ] "Set-Cookie" => array:2 [▶ 0 => "XSRF-TOKEN=eyJpdiI6IkUrU0g3RGd0RVhEbzZRNUtOdUphOUE9PSIsInZhbHVlIjoic21nN09mM0F0S1hHcUEvQTBxbUsvQXBKMEJOK0RBdzlDVUNpSHVJTVZZcVd2NlRhK1R5T3ladHZoNTNFTU9ja2h0NVY1M3A0eHV1QnE3bW1Ma3Z3MkRiV0lHZ29SbW1Ma1RKMzNkQTRPRXZRT1pjajhUSVBBL0tNenR5Z01lUXMiLCJtYWMiOiJkYmQyMWU0NzgxM2I5MjkyYmIyOGFkODkwZDRlNGNmYjgxNGQwMWQzMzY5OTc2Mzc4NzNhYWFjZWE0ZmJjNDMxIiwidGFnIjoiIn0%3D; expires=Wed, 09-Apr-2025 07:19:05 GMT; domain=.24houranswers.com; path=/ ◀XSRF-TOKEN=eyJpdiI6IkUrU0g3RGd0RVhEbzZRNUtOdUphOUE9PSIsInZhbHVlIjoic21nN09mM0F0S1hHcUEvQTBxbUsvQXBKMEJOK0RBdzlDVUNpSHVJTVZZcVd2NlRhK1R5T3ladHZoNTNFTU9ja2h0NVY1M ▶" 1 => "24houranswers_session=eyJpdiI6InNtb3pUQStqOUxNaUlXaVVEbjJjMHc9PSIsInZhbHVlIjoibEljS3A5NHRNQzZjQ1EvT3JlaHBLZGtpMlpHc2l0VjFrak5nMUdiYWU5K0FCT3IzU1U1alI3clExMVZSWUZWNGorOU5HcUd4aUc1NXVlcUFsS0JWQW5yUDE4T2tGUGhGRVFwN05RSnVsUnR4azZyNk42U2JuejFNaDBYVThyL3ciLCJtYWMiOiJjNWI3ZTQ5ZDIxZmEyODE2YTczZGVkN2NmZjFmYmY5YjMyMTgxNDViYzBmNDQ2ZmY0OWM2YTg4ODRmYTAxNGU0IiwidGFnIjoiIn0%3D; expires=Wed, 09-Apr-2025 07:19:05 GMT; domain=.24houranswers.com; path=/; httponly ◀24houranswers_session=eyJpdiI6InNtb3pUQStqOUxNaUlXaVVEbjJjMHc9PSIsInZhbHVlIjoibEljS3A5NHRNQzZjQ1EvT3JlaHBLZGtpMlpHc2l0VjFrak5nMUdiYWU5K0FCT3IzU1U1alI3clExMVZSWU ▶" ] ]
0 of 0array:5 [▼ "_token" => "4ogNzVdpIHdWijS0L3VCEp7eTysefMXMTe0IO5HQ" "utm_source" => "direct" "_previous" => array:1 [▶ "url" => "https://staging.dev.24houranswers.com/subjects/Mathematics/Signal-Processing" ] "_flash" => array:2 [▶ "old" => [] "new" => [] ] "PHPDEBUGBAR_STACK_DATA" => [] ]