- Determine the coordinates of the vertex of f(x) = -2x². - - (5, 35) .(-5, –15) .(-5, –40) 1. (-5, 35) e. (-5, 10)

The graph of the function f on the interval [-4, 4] is shown above. What is the value of f(x) dx? 5 9 оо 8 2

4) can you show me how to do this?

1 What is the direction of fastest increase at (-3, 4, –4) for the function f(x, y, z) = x2 + y? + z2 (Use symbolic notation and fractions where needed. Give your answer in the form (*, *, *).) direction:

14. The ordered pair (5, 7) is on the graph of y = f(x). The graph of y +3 = f(-2) will contain the ordered pair O (5, -4) O(-5, 4) O(-5, 10) O (5, - 10)

Given the function f (x) = 10 + 5x – 3x, identify the interval(s) %3D where the function is concave down ㅇ(-o. - ) and (0. ) (-∞. (0, — (주·주-)ㅇ and (능, 00) (0 ·주-) , 1) ㅇ (-1,

of of Let f(x,y) = 4x2 + 4xy-3y2 + 7x-7y-2. Find (2, ,-4) and (2,- 4). of (2,- 4) =(Simplify your answer.) of (2, - 4) =(Simplify your answer.) Enter your answer in each of the answer boxes.

At each of the points (20, 2), (3, −6), (½, ½), evaluate the function h(x, y) = undefined there. h(20, 2) = (Use symbolic notation and fractions where needed. If the function is undefined at the given point, type UNDEFINED.) h(3,-6)= √x-y x-y h ( ²⁄², ½ ) = or indicate that the function is Question Source: Rogawski 4e Calculus Early Transcendentals

-4 -3 -2 -1 -1- --2 --3 g(x)= - Vx – 2 On which interval is the function decreasing? A. (-0,00) о в. (-о,2) о с. (2, о0) D. (-0,0)