17. Let f be the function defined by f(x) = . What is the average value of f on the interval [4, 6] ? (A) - (B) 24 (C) n (D) In을 (E) In 2 24

Q: f'(c)=f(b)-f(a)/b-a .Use the Mean Value Theorem to find the number c for the function f(x)=x3-3x+2…

A:

Q: for the function f(x) = x^3 − 2x^2 + 4x − 8 on the interval [1, 6]

A: Mean value Theorem:-Statement: Let f be continuous over the closed interval [a, b] and…

Q: In which interval, function f(x)=x3e-x is increasing and concave up? (0, 3(sqrt3)) (3-sqrt3, 3) (3,…

A:

Q: Syppese that f(5) =! f'(5)= 5)=-3 g(5)=7 and a) (5)

A: Given:- Suppose that f(5) = 1,f'(5)=4 ,g(5)=-3, g'(5)=7   a) (fg)'(5)   b) (f/g)'(5)   c) (g/f)'(5)

Q: Consider the function f(x) = (x- 3)-2. a) Show that there is no value c in the interval (0,5) such…

A: Given that, f(x)=x-3-2       ...(1)

Q: 19. Show that f(x) = x² + 1 is not one-to-one, using values of f (not the horizontal line test).

A: To show: The function fx=x2+1 is not one to one. Concept used: The function is one to one is and…

Q: Show that f-(A U B) = f-'(A) U f-'(B) and f-1(A n B) = f-'(A) nf-'(B) for any function f. Is the…

A:

Q: Suppose that...

A: We are given: f(2) = -3 , g(2) = 4 , f'(2) = - 2  and  g'(2) = 7  Now, based on the given four types…

Q: 119. If f(x) = a*, show that f(A + B) = f(A) • f(B).

A: Given: fx=ax For finding fA+B, we put x=A+B in given expression and simplify it

Q: Q4) Specify the intervals over which the function is increasing and the intervals where it is…

A: Given the function  y = - x3  , We need to find the interval where this function is increasing and…

Q: 2 9. If f(x) =-(x- 5), determine the following %3D 3 f(17)- f(8) а) 17-8 (12)- f (4) b) 12 - 4

A: The given function    f(x)=23x-5

Q: so xe x dx

A:

Q: a) f "(1) si f(x) = -3x² - 5x+7 b) f(4) si f(x) = x² + x² −x³

A:

Q: Composites of Functions

A: As per company guidelines, I can solve only first three subpart.

Q: Let fé)--을(t)6. Eveluate f(-8) %3D f68)= ? %31

A:

Q: 17. S(p) = /p - p %3D

A:

Q: If f"(x) = x*+2x - 15x, then on which of the following intervals is f concave up? (-5,0) (3,00)…

A: Given f''x=x4+2x3-15x2

Q: The graph of f is shown in the figure. 6. 4 х 14 -4 -6+ 2-

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Q: For a function f , the divided-differences are given by X, = 0.0 f(x,) =? Sll = fo" = ? X, = 0.4 f…

A: The interpolation polynomials are used to find the values of the function inside the given range.…

Q: 4.* (a) Let S = {1, 2, 3, 4}. Define F: SN by F(x) = x² for each x = S. What is the range of the…

A:

Q: Suppose that the average number of M= (32+27t)/(2t+7) where t is the number of days on the (a) Is…

A: Given that: M=32+27t2t+7 Simplify it. M=27t+322t+7=272-1252t+7

Q: 6. Find an equation of the tangent line to y = f(x) : = tan¬(2x) at x = 7

A: Given,