non-negative continuous function. 5π Let f(x), x ≥ 0, be a If f'(x) cos x ≤ f(x) sin x, V x ≥ 0, then find f 15%. 3

Q: I. PROVING: Perform what is being asked 1. Prove whether the function h(x) is differentiable at x, =…

A: The given function is: h(x)=x+2         if  x≤15-2x         if  x>1

Q: What is the linearization function you should use in order to estimate tan π 4.1

A: What is the linearization function you should use in order to estimate tan(pi/4.1)?

Q: A table of values for f, g, f', and g is given below. af(x) g(x) | f'(x) g(x) 1 3. 3 1 1 2 1 3 3 1…

A: Explained below

Q: Question: 10 Consider the function f(x) = mcos.x – sin x. Find the constant m if = 4

A: Given  f(x) = mcosx - sinx  Find the value of m if f'(π/2) =4

Q: a-a2 find f(tan x). 1+a2' 11.lf f(a)=

A: Given: f(a)=a-a2x1+a2x   To find: f(tanx)=tanx-tan2x1+tan2x

Q: Consider the function f(x) whose second derivative is f'(x) = 9x+ 10 sin(x). If f(0) 3 and f'(0) =…

A:

Q: x-2 For the function 10x) = ind f(X), the third denvative of t and i ), the fourth derivative ofT…

A: Please refer the attached image for complete solution.

Q: X Find the local extrema of the function f(x) = V2 3sin- on the interval 0<xs2r, and say where they…

A:

Q: x* + bx S(x) = 5 sin (5x) for x > 5 for x S5 Let/ be the function defined above, where b is a…

A: To find the value of constant b, use the condition of continuous function. limx→a+f(x)=limx→a-f(x)…

Q: 2. Let f be a function whose derivative is f'(x) = sin²(x) – sin(x) for 0 < x < 5. State the x-value…

A: (a) Consider the given derivative function of f as f'x=sin2x-sinx defined on 0≤x≤5. First integrate…

Q: 1) Suppose that f(x) is a function such that f(0) = 3 and f'(0) = -3. Let h(x) = f(x) tan r. Find…

A: Given  f(0)=3f'(0)=-3 Let h(x)=f(x)tanx

Q: The graph of the function y = f(x) is given below. Graph of f(x) W L2 Which statement is true at X =…

A: As function is 0 at x=-1 and function is decreasing close to x=-1  So derivative of function will be…