The speed v L (in m/sec) of an ocean wave in deep water is approximated by V L = 1.2 L , where L (in meters) is the wavelength of the wave. (The wavelength is the distance between two consecutive wave crests.) a. Find the average rate of change in speed between waves that are between 1 m and 4 m in length. b. Find the average rate of change in speed between waves that are between 4 m and 9 m in length. c. Use a graphing utility to graph the function. Using the graph and the results from parts (a) and (b), what does the difference in the rates of change mean?
The speed v L (in m/sec) of an ocean wave in deep water is approximated by V L = 1.2 L , where L (in meters) is the wavelength of the wave. (The wavelength is the distance between two consecutive wave crests.) a. Find the average rate of change in speed between waves that are between 1 m and 4 m in length. b. Find the average rate of change in speed between waves that are between 4 m and 9 m in length. c. Use a graphing utility to graph the function. Using the graph and the results from parts (a) and (b), what does the difference in the rates of change mean?
Solution Summary: The author calculates the average rate of change in speed between the ocean waves that are 1m and 4m in length.
The speed
v
L
(in m/sec) of an ocean wave in deep water is approximated by
V
L
=
1.2
L
,
where
L
(in meters) is the wavelength of the wave. (The wavelength is the distance between two consecutive wave crests.)
a. Find the average rate of change in speed between waves that are between 1 m and 4 m in length.
b. Find the average rate of change in speed between waves that are between 4 m and 9 m in length.
c. Use a graphing utility to graph the function. Using the graph and the results from parts (a) and (b), what does the difference in the rates of change mean?
3. Consider the polynomial equation 6-iz+7z² - iz³ +z = 0 for which the roots are 3i, -2i, -i,
and i.
(a) Verify the relations between this roots and the coefficients of the polynomial.
(b) Find the annulus region in which the roots lie.
Force with 800 N and 400 N are acting on a machine part at 30° and 60°, respectively with the positive x axis
Find the accumulated amount A, if the principal P is invested at an interest rate of r per year for t years. (Round your answer to the nearest cent.)
P = $13,000, r = 6%, t = 10, compounded quarterly
A = $ 31902
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Find the accumulated amount A, if the principal P is invested at an interest rate of r per year for t years. (Round your answer to the nearest cent.)
P = $140,000, r = 8%, t = 8, compounded monthly
A = $259130.20 X
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