25. For the function f(x) = 45x3 - 3x5, determine the interval(s) for which f(x) decreases. O (3, 3) O (-00, -3) U (3, 0) (-3, 0) U (3, co) O (-00, -3) U (0, 3)

Q: 23. If f(5) = 4, fi(5) = –1, g(5) = 2, and g/(5) = -3, find h/(5) for each of the following…

A: Given:

Q: 2. a. f(x) = (x+2)/(x +4). Use the Mean Value Theorem on the interval [0, 4] to find all values of x…

A:

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: Let f be the function given by f (x) = 2x³ + x² - 3. What is the value of f' (2) ? A B 56 28 25

A:

Q: Find y as a function of x if x²y" +5xy - 12y = x², y(1) = −9, y(1) = 9. y=

A: We have to find as a function of .

Q: The wind speed W in meters per second at a distanc x kilometers from the center of a hurricane is…

A:

Q: of the 7x - 9x-2

A: We have to choose the correct answer from the given options

Q: Use the graph of f and g. Let p(x) = f(x)g(x) and q(x) = f(x)/g(x). Find p'(8)= and q'(5)=

A:

Q: Find the range of the function y = -4(x – 3)2 + 4. O (-∞, ∞) O (-∞, –4] O [3, ∞) O (-∞, 4) O [-4, ∞)…

A: Range of function :  The set of all values of the dependent variable for which a function is defined…

Q: Find the linearization of the function at x = 1. * f (x) = 2x³ - 3x + 7 O y = 6 + 1(x - 3) O y = 6 +…

A: Given, fx=2x3-3x+7

Q: Find f′(0), where f(x)= (x|x|)/(2+⌊x⌋)

A: Consider the given function fx=xx2+x

Q: What is the domain of f(x) = V5 – 4x – x² ? O A.(-5, 1) А. OB. [-5, 1] В. Oc.(1, -5] С. O D. (-1, 5)…

A: To Determine: Find the domain :

Q: Please

A:

Q: Given the function f (x) = 10 + 5x³ – 3x³, identify the interval(s) where the function is concave…

A: Given:      f(x) = 10 + 5x3 - 3x5