Question A. Find the domain for the given functions.. 1 f(x, y) = x + y 1 2 Зху f(x, y) =

-4bbf-bb5a-8e21795e4859/b8f43363-0ea4-4ec9-86f2-016c92f245b0 Review - A Bookmark 021 I 14 of 25 Given y = x. If the function is shifted 4 units to the left, which equation describes the new function? O A. (x - 4)? ов. y = (x +4)² O Cy= x² + 4 O D. y= x² %3=

For the function h(x,y) = X 9 ду || 6x+7y xy-5 əh əh find and ?х ду

Find all complementary functions of the equation 25y" - 40y + 16y = 0 a. e4x/5cOSX, e4x/5sinx b. e4x/5, xe4x/5 C. e5x/4, xe5x/4 d. e4x/5, x²e4x/5 O O a

Suppose you are climbing a hill whose shape is given by the equation z = 2000 - 0.005x² -0.01y2, where x, y, and z are measured in meters, and you are standing at a point with coordinates (60, 40, 1966). The positive x-axis points east and the positive y-axis points north. (a) If you walk due south, will you start to ascend or descend? ascend O descend At what rate? vertical meters per horizontal meter (b) If you walk northwest, will you start to ascend or descend? O ascend Odescend At what rate? (Round your answer to two decimal places.) vertical meters per horizontal meter (c) In which direction. the slope largest? What is the rate of ascent in that direction? vertical meters per horizontal meter At what angle above the horizontal does the path in that direction begin? (Round your answer to two decimal places.) 0

Make all obvious simplifications.

1. Which of the following is a linear function? b. у3 х? + 3 а. у- 2х - 3 2. If f(x)= 5x-2, what is f(2)? а. 5 с. у3 2х3 d. x= 3-2x b. 12 c. 8 d. 9 3. What do you call to the ratio of the x and y values or P(x,y)? b. a slope c. the x-intercept a. an ordered pair d. the y-intercept 4. Which is the standard form of a linear equation? y-yı а. x-X1 b. y= mx + b с. у-х d. Ax + By = C 5. Which of the following is the slope in the function f(x)= 3x-1? а. -1 b. x с. 3 d. f

Suppose you are climbing a hill whose shape is given by the equation z = 900 - 0.005x - 0.01y, where x, y, and z are measured in meters, and you are standing at a point with coordinates (60, 40, 866). The positive x-axis points east and the positive y-axis points north. (a) If you walk due south, will you start to ascend or descend? O ascend O descend At what rate? vertical meters per horizontal meter (b) If you walk northwest, will you start to ascend or descend? O ascend O descend At what rate? (Round your answer to two decimal places.) vertical meters per horizontal meter (c) In which direction is the slope largest? What is the rate of ascent in that direction? vertical meters per horizontal meter At what angle above the horizontal does the path in that direction begin? (Round your answer to two decimal places.)

Q19. Please show all work

Suppose you are climbing a hill whose shape is given by the equation z = 1200 – 0.005x? - 0.01y2, where x, y, and z are measured in meters, and you are standing at a point with coordinates (60, 40, 1166). The positive x-axis points east and the positive y-axis points north. (a) If you walk due south, will you start to ascend or descend? O ascend descend At what rate? vertical meters per horizontal meter (b) If you walk northwest, will you start to ascend or descend? O ascend O descend At what rate? (Round your answer to two decimal places.) vertical meters per horizontal meter (c) In which direction is the slope largest? What is the rate of ascent in that direction? vertical meters per horizontal meter At what angle above the horizontal does the path in that direction begin? (Round your answer to two decimal places.)