Consider the function f(x)=x³. (a) Find f(a + h). (b) Find f(a + h) -f(a) h (c) Find the instantaneous rate of change of f when a 3 (a) f(a+b)=

Q: Find the domain of the function F(x)= 11/x-15

A: Given query is to find the domain of the function.

Q: y = xe2x

A: We can find the third derivative as below

Q: Sketch the graph of the function f(x)=-x2 +4x-1. Find the equation of the line that is tangent to…

A:

Q: Consider the function f(x) = x² + 2x - 8. (a) Find a simplify: f(C)-f(1) = (b) Find and simplify:…

A: The given function fx=x2+2x-8. We have to find and simplify the expression fC-f1C-1.

Q: Find f.g, g. f, and g. g. f(x) = x + 4, g(x) = x - 9 (a) f.g (b) g.f

A: Explanation and solutions is given below....

Q: find the interval where the function is increasing or decreasing  f(x) = 6/x-4

A: Function is not defined at x=4  there are two intervals where the function is defined   ( -∞,4 ) and…

Q: A mountain climber uses the model T = 20 – 10h | to estimate the temperature T (in °C) at elevation…

A: T=20-10h a). When h=0, T=20-100=20 When h=1, T=20-101=10 When h=2, T=20-102=0 When h=3, T=20-103=-10…

Q: Find the number of pounds of salt in the tank as a function of time.

A:

Q: Let P(t) = 100(1.025)' be the estimated population of wolves in a provincial park and S(t) = 200 +…

A:

Q: Find f if f"(x) = 4 – 6x, f(0) = 3, and f(2) = -2. %3D Answer: f(æ)

A:

Q: Find the intervals on which the function f(x)=x−4x2 is increasing and decreasing.

A: Given function:

Q: Find the domain of the function G where G(x) = (2x/x-9)

A: We need to find the domain of the function G where G(x) = (2x/x-9). So,  The domain of a function is…