Graph a parabola having the stated characteristics.Vertex (-2, -4) and x-intercepts (-4, 0) and (0, 0)
A.
B.
C.
D.
Answer: D
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Evaluate the integral by changing the order of integration in an appropriate way.
A. 1 - sin 9
B.
C.
D. 1 + cos 9
Use a double integral to find the volume of the solid shown in the figure.
?
?
A. 36 B. 24 C. 144 D. 12 E. 48
Danny and Stacey have gone from the swing to the slide at the park. The slide is inclined at an angle . Danny weighs 39.0 pounds. He is sitting in a cardboard box with a piece of wax paper on the bottom. Stacey is at the top of the slide holding on to the cardboard box. Find the magnitude of the force Stacey must pull with, in order to keep Danny from sliding down the slide. (We are assuming that the wax paper makes the slide into a frictionless surface, so that the only force
keeping Danny from sliding is the force with which Stacey pulls.)
?
?
A. 37.8 lb
B. 31.1 lb
C. 26.5 lb
D. 22.7 lb
E. 29.8 lb
A steady wind blows a kite due west. The kite's height above ground from horizontal position x = 0 to x = 70 ft is given by
Find the distance traveled by the kite.
Give your answer rounded to two decimal places.