1. (15) Suppose snap, crackle and pop are real-valued, differentiable functions with domain R andDz[snap(r)] = x²crackle (x), D-[crackle(x)] = pop° (¤), findthis problem.dyWork need not be shown fordx%3D3snap* (x')y =crackle3 (5x³)

Answered: Image /qna-images/answer/5741262e-5a94-4356-bae2-f644ebb95b6e.jpg

Answered: 1. (15) Suppose snap, crackle and pop…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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3. The motion of a particle is defined by the function s(t), where s is the displacement from the origin in meters after t seconds. a) If s'(2) = 0, then what do you know about the motion of the particle at t = 2? b) If s"(4) = -5 and s'(4) = -10, then draw a sketch of what the graph of s(t) could look like around t = 4.
Experiment 3: 3D. Does f'(0), the y-coordinate on the gray line at x = 0, have any relationship to the derivative value f'(0)? 3E. Does f'(0), the y-coordinate on the derivative line at x = 0, have any relationship to f(0), the y-coord. on the parabola at x = 0?
8
(c) The equation of a curve is given by, x²y² + 4y = x (i) Show that dy_1- 2xy2 4 + 2x²y dx Find the gradient of the curve at (0,0). (iii) Hence, find the equation of the tangent to the curve at (0,0).
8. Suppose X has pdf f(x)=- A(1+x) , which one is the pdf for Y 2X. (A) ()=- (B) f0)= z(l + 4y) (4 + y) (C) fy)= (D) f,0)=-arcigy. 7(1 + y)
3) Caputo derivative of order yof a [y] differentiable u function with y> 0 is given 1 çDYu(t) = T(y – Iri, x)yl-y-1u(Irl)(x)dx (t – is given with. According to this; for m = 1, 2, 3,... show that. [tv-1Ev(At")] = tv-1-mEz,v-m(At")
Q4) f(x, y) = x'/3 –x/3y² is harmonic ? Does the function
I need the answer as soon as possible
x2 sin3(x) Q.2\ Find dy if y = In dx \cos(x*).V1+x/

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1. (15) Suppose snap, crackle and pop are real-valued, differentiable functions with domain R and Dz[snap(x)] = 2²crackle (x), Dz[crackle(x)] = pop°(z), find dy Work need not be shown for dx this problem. 3snap (x') y = crackle (5x³)