Solve the problem.The number of centimeters, d, that a spring is compressed from its natural, uncompressed position is given by the formula d = 
, where W is the number of joules of work done to move the spring and k is the spring constant. Solve this equation for W. Use the result to determine the work needed to move a spring 9 centimeters if it has a spring constant of 0.2.
A. W = 2d2k; 32.4 joules
B. W = 
; 8.1 joules
C. W = 
; 810 joules
D. W = 
; 0.8 joules
Answer: B
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Sketch the graph of the parametric equations. Then set up the appropriate integral to find the length of the curve and use a computer to evaluate it.x = 3 sin t, y = 5 cos t, 0 ? t ? 2?
A. L = 2?
B. L = 12.57
C. L = 28.27
D. L = 25.53
Choose the equation that matches the graph.
A. 4x2 - 25y2 = 100 B. 4y2 - 25x2 = 100 C. 25x2 + 4y2 = 100 D. 25x2 - 4y2 = 100
Use a calculator to evaluate the expression, or state that the value does not exist. Round the answer to four decimal places when necessary.tanh-1 3
A. 0.3466 B. 0.9951 C. does not exist D. 1.005
Write the decimal in words.37.8
A. thirty-seven and eight thousandths B. thirty-seven and eight hundredths C. thirty-seven and eight tenths D. thirty-seven and eight millionths