If g(t) = (t² – 25) (t² + 25), - a. Find all real numbers t for which g(t) = 0. t = b. Find all real numbers t for which g'(t) = 0. t

Q: Consider the function g(t) = 2t2 – 2t.

A: g(t) = 2t² −2tdifferentiate with respect to t,g'(t) =4t -2 Therefore g'(t) =0⇒…

Q: Find maximum and minimum values of the function 2х + 1 2 3

A: fx=13x3-12x2-2x+13 Differentiating wrt x, we get f'x=x2-x-2                                   (1)…

Q: Let f(x) = 4x + 3. Determine (f ofo f)(x). (f o f o f)(x)

A: Composite functions: composite functions are the functions substituted inside the other function.…

Q: A function f(x) = v1 – x² is

A:

Q: Is the two functions h(t) and g(t), is h-1g-1 (t) = (hg)-1(t)

A:

Q: For function i, i(x+4)=3x+1. Find i(-1)

A: Given function is

Q: find functions f and g so that f ∘ g = H.

A: given: Hx=1-x2 we have to find the functions f and g so that f ∘ g = H.

Q: Let f(x) = 9-5x. Find f(t). f(t) =|

A: given that                                 f(x)=9-5x we have to find f(t). we can find f(t) by…

Q: Find h(0), h(x + 3), and h(-x) for h(x) = x + Vx² – 1. 2)

A:

Q: P(x) = 1. Let x! and let H=10, Find P(9)

A: To find: P(9)

Q: Find the directional derivative of f at the point (1,2) in the direction of the vector v = = (1, 3).

A:

Q: '(x) = ( 13 + x1, (x-1)², x x

A: T(x)=|3+x|x<-1(x-1)2x≥-1

Q: Find スeso and its oder for the function f(z) = 1-x +Z + ě. %3D

A:

Q: Find f′′(x). f(x)=(x 2+2)9

A: Given fx=x2+29. The objective is to find f"x.

Q: If V(x) represents the volume of water, in cubic inches, in a tank when the height of the water is x…

A:

Q: EX:- Find the F.I. of (f(t)) sgn (t) =

A: ft= sgntft=1if x>00if x=0-1if x<0 The signum function can also be represented as…

Q: Let f(x) = 5- x and g(x) 2, find: a. (fog)(0) b. (go f)(0) = c. (fo g)(x) Preview d. (go f)(x) =…

A: Value of the above ques is

Q: 1. Let f(r) and g(a) 4x + 1. 4 Then (f o g)(6) (ƒ o g)(x)

A: We have to find function

Q: For each point on the graph of y= f(x), is a corresponding point on the graph of y=√f(x) exists,…

A:

Q: Write f (t) = 5(7)t in the form f (t) = P0ekt for some P0 and k.

A:

Q: Let f(x) = 1 and g(x) +4. Then (fo g)(æ) (go f)(x) =

A: (f o g)(x) = x/6 (g o f)(x) =(4x -10)/(x-4)