Q1. Consider a periodic signal -1

Q: Suppose h(x) = cos(tť² )dt Calculate h' (x).

A: Given: hx=∫0x3cosπt2dt.

Q: Consider the given differntial equation y'(t)= (y-2)(3+y) Find the soultions that are constant for…

A: Given: y'(t)= (y-2)(3+y)

Q: Sketch a graph of x = -3 + cos(t), y =1+ sin(t), 0 < t < 27 COS 5+ 4-

A: Given: x=-3+cos(t)y=1+sin(t)

Q: Find f. a) f '''(x) = cos(x),    f(0) = 7,    f '(0) = 8,    f ''(0) = 8   b) A particle is moving…

A:

Q: Find the nth-derivative, f(n), of f(x) e2x+4. 1. f(n)(x) = 2. f(n)(x) = 3. f(n) (x) = 2ne2x+4 1 - n!…

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Q: Let h(x) = tan(2x + 3). Then h' (2) is and h'' (2) is

A: given function    h(x)=tan(2x+3)

Q: Let h(t) = tan(3t + 8). Then h'(5) is and h"(5) is

A: As we know that the chain rule: fgx'=f'gx·g'x The Power law: ddxxn=nxn-1   Given: ht=tan3t+8 Now…

Q: 5.PT. PLN has $140000 to invest. The alternative investments and the corresponding annual returns…

A: According tot he given information it is required to form an linear programming problem for the…

Q: Compute the following derivatives. Show all your work and indicate which differentiation rule(s) you…

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Q: 21. If f(x) = (x² + 1) tan-(e*), then f'(0) = (A) 0 (B) - (C) (D) 1 e

A: It is observed that the function fx=x2+1tan-1ex is a product of 2 functions x2+1 and tan-1ex.…

Q: Find F

A: Given:

Q: Consider the limits of the differentiable functions a through ƒ. lim a(x) = 0 x-0 lim b(x) x-0 = 0…

A:

Q: Find f. f'(t) = sec(t)(sec(t) + tan(t)), f(t) = - 1/2 <²<= // ¹ ( ² ) = -3

A: Given that, f't=sectsect+tant, -π2&lt;t&lt;π2, fπ4=-3 We have to find the function ft

Q: Given h(x) = tan -1 ), find h'(x). 2 4 A) sec 2 sec (B) 4 +x² (C) 4 +x2 (D)

A:

Q: Find the derivative with respect to x. (c) y = v7x – x4 (d) y = (1+ sin 7.x)-5 (a) y = (5x – 2)*…

A: This question is related to derivative, we will solve it using given information.

Q: Let f(x) = x°e*. Find f '(x).

A: Product rule:d(uv)dx=udvdx+vdudx

Q: Find f. f'(t) = sec(t)(sec(t) + tan(t)), = -1 2 (t) = tan(t) + sec(t) – 1- V2

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