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

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

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

of Find — (8, - 9) if f(x,y) — 8x* + 4ху - 7y + 5х - 8y - 5. dx ... df (8, - 9) = (Simplify your answer.) dx

x5+7y6 For the function f(x,y) х6 find fx. fy f-3,-1), and f,(0,- 5) +ут

The equation M(x,y) = 73 +0.8x -0.9y gives the mileage (in mpg) of a new car as a function of tire pressure x (in psi) and speed y (in mph). Find M(32,45) (include the appropriate units) and explain what it means. M(32,45)= (Type an integer or a decimal.) Explain what the answer in the previous step means. Select the correct choice below and fill in the answer boxes within your choice. (Type integers or decimals.) A. Increasing the tire pressure by one psi and maintaining a speed of B. Increasing the speed by one mph and maintaining a tire pressure of C. Mileage is mpg at a tire pressure of psi and a speed of mph. D. Increasing the speed by one mph and maintaining a tire pressure of O E. Increasing the tire pressure by one psi and maintaining a speed of mph will increase mileage by psi will increase mileage by psi will increase mileage by psi will decrease mileage by mpg. mpg. mpg. mpg.

Form the input/output table for f(x) = 2× with the values of x and y from Step 1. Write the ordered pairs from the table. -4 -3 -2 -1 1 3 4 y 0.0625 | 0.125 0.25 0.5 1 2 4 8 16 The ordered pairs are as follows. (x, y) = (-4, (х, у) (x, y) = (-2, 0.25) (х, У) - (-1, (х, у) (-3, 0.125) %D (0, 1) (х, у) (1, 2) (х, у) 2, (х, у) (3, 8) %3D (х, У) %3D (4,

Which point on the y-axis lies on the line that passes *****XXXXX through point G and is parallel to line DF? :4 F/ (-2, 0) XXXX 2. (0, –2) O (0, 4) -543-2-, 2 3 4. O (4, 0) D G Save and Exit Next Submit Mark this and return DELL LED