Set up the general equation from the given statement.r varies jointly as s and t.
A. r = kst
B. r = 
C. r = kd + kt
D. r = kd + t
Answer: A
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Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative.u(2) = 8, u '(2) = 3, v(2) = -1, v '(2) = -5.
at x = 2
A. - 
B. 
C. - 
D. - 
Use a ruler, protractor, and compass to construct, if possible, a triangle with the stated properties. If such a triangle cannot be drawn, explain why. Decide if there can be two or more noncongruent triangles with the stated properties.A triangle with sides of length 5 cm and 12 cm and an angle of 102°
A. Two or more such noncongruent triangles can be constructed. B. No such triangle can be constructed. C. Exactly one such triangle can be constructed.
Match the equation with the surface it defines.x2 + y2 = 81 
A. Figure 4 B. Figure 3 C. Figure 1 D. Figure 2
Use a graphing utility to graph the function over the indicated interval and approximate any local maxima and local minima. Determine where the function is increasing and where it is decreasing. If necessary, round answers to two decimal places.f(x) = x3 - 3x + 1, (-2, 2)
A. local maximum at (1, -1) local minimum at (-1, 3) increasing on (-2, -1) and (1, 2) decreasing on (-1, 1) B. local maximum at (-1, 3) local minimum at (1, -1) increasing on (-2, -1) and (1, 2) decreasing on (-1, 1) C. local maximum at (1, -1) local minimum at (-1, 3) increasing on (-2, -1) decreasing on (-1, 1) D. local maximum at (-1, 3) local minimum at (1, -1) increasing on (-1, 1) decreasing on (-2, -1) and (1, 2)