Solve the problem.Select an appropriate graph of a twice-differentiable function y = f(x) that passes through the points (-,1) , , (0,0),  and (,1), and whose first two derivatives have the following sign patterns.y' : y": 

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A.

B.

C.  

D.

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Answer: B

Mathematics

Match the equation with the surface it defines.-  +  +   = 1 

A. Figure 2 B. Figure 4 C. Figure 3 D. Figure 1

Prepare a probability distribution for the experiment. Let x represent the random variable, and let P represent the probability.Two marbles are drawn from a bag in which there are 4 red marble and 2 blue marble. The number of blue marbles is counted.

A.

B.

C.

D.

Solve the problem.A weight suspended from a spring is vibrating vertically with up being the positive direction. The function f(t) = 10 sin  represents the distance in centimeters of the weight from its rest position as a function of time t, where t is measured in seconds. Find the smallest positive value of t for which the displacement of the weight above its rest position is 5 cm. Round answer to three decimal places, if necessary.

A. 1.586 B. 0.222 C. 2.293 D. 0.556

Multiply the numerical coefficients, then use an exponent rule to determine the final exponent on 10.(4 × 108)(2 × 107)

A. 8 × 1016 B. 8 × 108 C. 8 × 1056 D. 8 × 1015