Solve the problem.Suppose a ball is thrown upward to a height of h0 meters. Each time the ball bounces, it rebounds to a fraction r of its previous height. Let hn be the height after the nth bounce. Consider the given values of h0 and r. (a) Find the first four terms of the sequence of heights {hn}. (b) Find an explicit formula for the nth term of the sequence {hn}. h0 = 6, r = 0.5
A. (a) 6, 3, ,
(b) hn = (6)n
B. (a) 6, 3, ,
(b) hn = 6n
C. (a) 6, 12, 24, 48
(b) hn = 6(2)n
D. (a) 6, 3, ,
(b) hn = n
Answer: B
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Solve the problem.The following graph shows weekend gross revenue for a summer blockbuster film. How much more revenue did the film earn the first weekend compared with the third weekend?
A. $63,145,737 B. $176,432,557 C. $88,362,852 D. $151,215,442
Find the LCD. Do not combine fractions. ,
A. 3x + 6 B. 3x2 + 18 C. 3x2 + 6 D. 3x(x + 6)
Find a set of symmetric equations for the line through the point and parallel to the specified vector or line.
?
Point: (5, 0, 2)
Parallel to:
?
A. Symmetric equations:
B. Symmetric equations:
C. Symmetric equations:
D. Symmetric equations:
E. Symmetric equations:
Find the derivative.s = t7 cos t - 6t sin t - 6 cos t
A. = - 7t6 sin t - 6 cos t + 6 sin t
B. = - t7 sin t + 7t6 cos t - 6t cos t
C. = t7 sin t - 7t6 cos t + 6t cos t
D. = - t7 sin t + 7t6 cos t - 6t cos t - 12 sin t