Find the derivative of the function.y = 2 cos 2x
A. 
= 2 sin 2x
B. 
= 4 sin 2x
C. 
= -4 sin 2x
D. 
= -2 sin 2x
Answer: C
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Solve the problem.Find the work done by a force of 8i (newtons) in moving as object along a line from the origin to the point 
(distance in meters).
A. 16.97 joules
B. 24
joules
C. 24 joules
D. 8
joules
Find the domain and range and describe the level curves for the function f(x,y).f(x, y) = 3x2 - 3y2
A. Domain: all points in the xy-plane; range: all real numbers; level curves: ellipses 
B. Domain: all points in the xy-plane; range: real numbers z ? 0; level curves: ellipses 
C. Domain: all points in the xy-plane; range: all real numbers; level curves: hyperbolas 
D. Domain: all points in the first quadrant of the xy-plane; range: all real numbers; level curves: hyperbolas 
Solve the application and answer with a complete sentence.Pete studied 18
hours for his history test. Mike studied 4
hours for the same test. How much longer did Pete study than Mike?
A. Pete studied 13
hours more than Mike.
B. Pete studied 13
hours more than Mike.
C. Pete studied 13
hours more than Mike.
D. Pete studied 14
hours more than Mike.
Determine whether the given series converges or diverges. If it converges, find its sum.
 FIGURE 1.png)