In the figure, the exterior sides of the adjacent angles (
and 
) form perpendicular rays. How are these angles related?
Fill in the blank(s) with the appropriate word(s).
They are complementary.
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Find all the second order partial derivatives of the given function.f(x, y) = 
A. 
= - 
; 
= 
; 
= 
= 
B. 
= - 
; 
= 
; 
= 
= 
C. 
= 
; 
= - 
; 
= 
= 
D. 
= - 
; 
= 
; 
= 
= 
Solve the problem.A force is given by the vector F = 6i + 4j. The force moves an object along a straight line from the point (6, 8) to the point (20, 14). Find the work done if the distance is measured in feet and the force is measured in pounds.
A. 92 ft-lb B. -108 ft-lb C. 60 ft-lb D. 108 ft-lb
Solve the problem. Round rates to the nearest tenth of a percent as necessary, amounts to the nearest dollar, and time to the nearest day.Mark Golden needs $7427.36 to pay for remodeling work. His bank loans money at a discount rate of 9% for 270 days. Find the face value of a loan so he will have $7427.36.
A. $7965.00 B. $8095.82 C. $7957.11 D. $7427.36
The x- and y-coordinates of a point in quadrant III are consecutive even integers whose product is 360. Find the coordinates of the point.
A. (20, 18) B. (–20, –18) C. (–24, –22) D. (24, 22)