Solve the problem.The distance D that a spring is stretched by a hanging object is directly proportional to the weight W of the object. If a 9-kg object stretches a spring 40cm, how far will a 2-kg weight stretch the spring?
A. 4.44444444 cm
B. 8.89 cm
C. 51 cm
D. 0.45 cm
Answer: B
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Solve.Find the points of intersection of the ellipse 81x2 + 49y2 = 3969 and the line 7y - 9x = 63.
A. (0, 9), (-7,0) B. (0, 7), (0, -9) C. (0, -7), (9, 0) D. (0, -9), (7, 0)
Use integration by parts to establish a reduction formula for the integral.
A. 
= - 
xn e- x2 + 
B. 
= n xn-1 e- x2 + 2n 
C. 
= - 
xn-1 e- x2 + 
D. 
= - 2xn-1 e- x2 - 2(n - 1) 
Identify the curve as simple, closed, both, or neither.
A. Neither B. Both C. Simple D. Closed
A boundary stripe 2 in. wide is painted around a rectangle whose dimensions are 100 ft by 240 ft. Use differentials to approximate the number of square feet of paint in the stripe.
a. 113 ft² b. 113.81 ft² c. 113.22 ft² d. 113.89 ft² e. 113.33 ft²