After a hurricane, a homeowner examines trees on his property for damage. He thinks a 20 -ft palm tree is leaning slightly from its original vertical position. From a point 23 ft away, he measures the angle of elevation to the top of the palm tree as 43 ° . Is the palm tree leaning? If so, by how many degrees from the vertical? Round to the nearest tenth of a degree.
After a hurricane, a homeowner examines trees on his property for damage. He thinks a 20 -ft palm tree is leaning slightly from its original vertical position. From a point 23 ft away, he measures the angle of elevation to the top of the palm tree as 43 ° . Is the palm tree leaning? If so, by how many degrees from the vertical? Round to the nearest tenth of a degree.
After a hurricane, a homeowner examines trees on his property for damage. He thinks a
20
-ft
palm tree is leaning slightly from its original vertical position. From a point
23
ft
away, he measures the angle of elevation to the top of the palm tree as
43
°
. Is the palm tree leaning? If so, by how many degrees from the vertical? Round to the nearest tenth of a degree.
8. For x>_1, the continuous function g is decreasing and positive. A portion of the graph of g is shown above. For n>_1, the nth term of the series summation from n=1 to infinity a_n is defined by a_n=g(n). If intergral 1 to infinity g(x)dx converges to 8, which of the following could be true? A) summation n=1 to infinity a_n = 6. B) summation n=1 to infinity a_n =8. C) summation n=1 to infinity a_n = 10. D) summation n=1 to infinity a_n diverges.
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13: If the perimeter of a square is shrinking at a rate of 8 inches per second, find the rate at which its area is changing when its area is 25 square inches.
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SHOW ME ALL THE NEEDED STEPS
11: A rectangle has a base that is growing at a rate of 3 inches per second and a height that is shrinking at a rate of one inch per second. When the base is 12 inches and the height is 5 inches, at what rate is the area of the rectangle changing?
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