Find a function r(t) that describes the curve where the surfaces intersect. x2 + y2 = 16; z = 2x + 3y
A. r(t) =
B. r(t) =
C. r(t) =
D. r(t) =
Answer: D
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Factor completely.-2w2 - 24w - 54
A. prime B. -2(w + 9)(w + 3) C. -(2w + 18)(w + 3) D. -(w - 9)(w - 3)
Perform the indicated operation. Write the answer in scientific notation.(9.5 × 10-3)(4.9 × 106)
A. 4.655 × 104 B. 1.61 × 103 C. 4.655 × 103 D. 14.4 × 109
Solve the problem.Hooke's law is applicable to idealized (linear) springs that are not stretched or compressed too far. Consider a nonlinear spring whose restoring force is given by F(x) = 17x - 0.3x3, for |x| ? 9. How much work is done in stretching the spring from its equilibrium position (x = 0) to x = 1? Round to two decimal places when appropriate.
A. 8.43 J B. 392.85 J C. 196.43 J D. 16.7 J
Determine whether the graph representing the equation is symmetric with respect to the x-axis, the y-axis, the origin or none.y3 = -7x3 + 8x
A. x-axis only B. x-axis, origin C. x-axis, y-axis D. origin only