Solve the problem.Solve S = ?rh + ?r2 for r.
A. r = 
B. r = 
C. r = 
D. r = 
Answer: C
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Find the formula for the function.Express the length d of a square's diagonal as a function of its side length x.
A. d = x
B. d = x
C. d = x
D. d = 2x
Parametric equations and and a parameter interval for the motion of a particle in the xy-plane are given. Identify the particle's path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion.x = 4 cos t, y = 4 sin t, ? ? t ? 2?
A. x2 + y2 = 1
Clockwise from (1, 0) to (1, 0), one rotation
B. x2 + y2 = 16
Counterclockwise from (4, 0) to (4, 0), one rotation
C. x2 + y2 = 16
Counterclockwise from (-4, 0) to (4, 0)
D. x2 + y2 = 16
Clockwise from (4, 0) to (-4, 0)
Find the product and simplify.
? 
A. 
B. 
C. 21z
D. 
Provide an appropriate response.Use the method of Lagrange multipliers to determine the critical points of f(x, y, z) = x2 - 3y2 - z2 + 6 subject to the constraint 5x - 3y + z = 21.
Fill in the blank(s) with the appropriate word(s).