Developmental Mathematics (3rd Edition)
3rd Edition
ISBN: 9780321936875
Author: Elayn Martin-Gay
Publisher: PEARSON
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A ball is thrown into the air and its height (in meters) is given by h (t)
in seconds.
-4.92 + 30t+1, where t is
a. After how long does the ball reach its maximum height? Round to 2 decimal places.
seconds
b. What is the maximum height of the ball? Round to 2 decimal places.
meters
Determine where the absolute and local extrema occur on the graph given. Assume the domain is a
closed interval and the graph represents the entirety of the function.
1.5
y
1
0.5
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-0.5
-1
-1.5
Separate multiple answers with a comma.
Absolute maximum at
Absolute minimum at
Local maxima at
Local minima at a
x
2
3
а
A company that produces cell phones has a cost function of C = x² - 1000x + 36100, where C is
the cost in dollars and x is the number of cell phones produced (in thousands). How many units of cell
phones (in thousands) minimizes this cost function? Round to the nearest whole number, if necessary.
thousand
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- 11:48 SS retry this question below lll 43% A communications tower is located at the top of a steep hill, as shown. The angle of inclination of the hill is 77°. A guy wire is to be attached to the top of the tower and to the ground, 102 ft downhill from the base of the tower. The angle formed by the guy wire is 9°. Find the length of the cable required for the guy wire. 9° 102 ft 77° NOTE: The picture is NOT drawn to scale. length of guy-wire = ft Enter your answer as a number; your answer should be accurate to 2 decimal places. Question Help: Video Submit Question Jump to Answer |||arrow_forwardHow come that I marked ?arrow_forwardUnder certain conditions, the number of diseased cells N(t) at time t increases at a rate N'(t) = Aekt, where A is the rate of increase at time 0 (in cells per day) and k is a constant. (a) Suppose A = 60, and at 3 days, the cells are growing at a rate of 180 per day. Find a formula for the number of cells after t days, given that 200 cells are present at t = 0. (b) Use your answer from part (a) to find the number of cells present after 8 days. (a) Find a formula for the number of cells, N(t), after t days. N(t) = (Round any numbers in exponents to five decimal places. Round all other numbers to the nearest tenth.)arrow_forward
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