11) Let g(x) = f(t)dt, 0≤x≤7 where fis pictured. (a) At what value of x does g(x) achieve local maxima? Explain. (b) Over what subintervals of [0,7] is g(x) increasing? Explain. Quer what subintervals of [0,7] is g(x) concave up? 1. 0 -1- 3 x 5 6

Q: increasing and decreasing. 5) f(x) = -x² +4 fx) -4 위

A: Given :  f (x) = - x 2 + 4    To determine : The intervals on which f (x) is increasing or…

Q: 04) Find: V2 +7 - 4x a) Horizontal asymbtote for f(x)D x+3 x² - 4 f(x) a to for

A: Given: a) Horizontal asymptote for f(x)=x2+7 -4xx+3 b)Oblique asymtote for f(x)=x2-4x-1

Q: Based on the graph of g"(x) pictured above, how many points of inflection exist for the twice…

A: As we know The inflection point exists when  and conavity changes  of function

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A: f(x)=xx+9 To find: (a) The intervals on which f is increasing and the intervals on which it is…

Q: f and f” are provided below. Use f” to find the open intervals where f is concave up and concave…

A: To find the intervals of concave up and concave down

Q: 3. 1 Let f(x, y) = ₁-x²-y² (a) Find a value of c for which there is no level set at f = c. (b) Find…

A:

Q: 1 65. Is the function given by G(x) = continuous бх + 8 at x = 2? Why or why not? 2.

A: To check the function G(x) = 1x2-6x+8 continuous at x = 2. G(x) = 1x2-6x+8

Q: 8. Determine the intervals where the function is increasing or decreasing. Find the local maxima and…

A: First derivative test

Q: Prdlem 6.36 Pert B)

A: It is double Integral

Q: Find w, where w3 = 1 + i. i? = -1.

A:

Q: 1. How many possible x-intercepts will the function f(x) = Ax5 + Bxª + Cx²³ + Dx² + Ex+F? a. Minimum…

A:

Q: IB) Find the cnber of curvatee, eguation of the curde of cuuunfure f (x)> Jax of the gmph. of at x=…

A: Consider the given curve as, fx=2x at, x=4 Let y=fx=2x

Q: Q4) Find the Asymptotes of the following functions: x³ – 4x² - 1) y x² – 2 x² – 4 2) f(x) : %3D x² –…

A: Solution is given below

Q: het f be a bounded real-valued funtim on TR" Define (Mst)(a) = Aup {tla): Ix-al <8$ %3D (mg t)(a) -…

A:

Q: 32. (Refer to the graph of f below) On which interval is f concave upward? y4 y= f(x) -2 6 x 8 -2…

A: The solution are next step

Q: (x² – 4)? attain the absolute maximum For what value of x does the function g(x) in the interval…

A: First find the derivative of function then draw the wavy curve and check derivative goes positive…

Q: 4 .. . 10) For the function f(x) = (x – 1) (x +3): a) Find the intervals of increase/decrease and…

A: