Make a sketch of the function f (t) defined by 0 5, 1, -1, f(1) = e(s-1), and express f in terms of the unit step function.

Q: --1/0 -1 -1 1,0

A: As we can see  in the figure the tangent line passes through the point x=2. Slope of tangent line…

Q: Find max and min of function on the interval    f(x)=-x4-x3+5x2-4 on [-2,1]

A: The given function is; f(x)=-x4-x3+5x2-4 on [-2,1]

Q: Apply Rolle's theorem for the function f(x)-x2+2x over the interval [-2,0]. Justify your answer.

A: Rolle's theorem is used to prove the Taylor's theorem and the mean value theorem. Rolle's theorem…

Q: 2十 1. t. a) Express f(t) in terms of unit step functions

A: To express f(t) in terms of unit step functions.

Q: 4 5 -4 -3 -2 -10 3 4 5 -2

A: The given function is an absolute value function. The function is 0 at x=1 and at x=1, the function…

Q: Let f(x) = v9x+ 8 and g(x) = x+9 be functions from R to R. Find the following. a) (f • g)(x) = %3D…

A: We are given f(x)=9x+8 and g(x)=x+9 and we need to find different composition of the function.

Q: determine the value of the parameter a that will make the function f(x) = [ax+1, x- -1

A: The given function is fx=ax+1,    x<-1x2-3,     x>-1 To find: Value of parameter a

Q: Let f(x) f-1( – 8) = Preview

A:

Q: Find f"(x) for the function: f(x) = x – 1. -2(x– 1)-2 2(x – 1)2 O 2(x – 1)-3 -2(x– 1)

A: Derivative of a function

Q: Rewrite each pair of functions. (g) and g(t), as one composite function, f(g(e)). (If not possible,…

A: To find f(g(t))

Q: Describe the process of linearization of a function f(x) at a point x = a, and explain how it can be…

A:

Q: Let n be a positive integer. Define the function fn(z) by dzn (2²+2x+2)". Find the value of fn(-1 +…

A: Solution:Given: Let be a positive integer. the function is defined bywe have to find the value of

Q: The domain of the function f(x)= cosh (x/ 18) is Select one: O [-18, 18 ] OR-{18} OR-{-18, 18 } O […

A: Given- fx=cosh-1x8 To Find- The domain of the function.

Q: Let R+ = {x € R|x>0} be the set of positive real numbers. Let A = [a,b), a,beRb +00, be an (right…

A: