The function p gives the number of miles from an airport that a plane has flown after t hours. (a) What are the units on p'(5.5)? hours miles hours per mile miles per hour (b) What common word is used for p'(5.5)? displacement speed distance acceleration

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Q: Anti-derivative of this function:  h(θ) = 4 csc θ cot θ + 2 sec2 θ

A: Indefinite Integration

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A: Initial velocity = 70 ft/sec Intial Height =100 ft,

Q: Use differentials to approximate the quantity. (Give your answer correct to 4 decimal places.) 101

A: Given,           The quantity is 101 .

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A: let the height of tank be "h"Volume is given by VdVdt=0.1 cu. ft/hrh=2 ftV= 10 cu. ftdhdt=?

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A: The graph shows the depth of water W in a reservoir over a one-year period as a function of the…

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Q: The radius, r, of a sphere is increasing at a constant rate of 0.05 meters per second. a.) At the…

A: Let  y=f(x)  be  the  given function. Then      f '(x)  is  the rate of change of f with respect to…

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Q: 3. ) Blood flowing through an artery encounters a resistance of R(x) = }Gr+1)*, where r is %3D he…

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Q: The tangent line at x = 5 to the graph of f(x) = x passes through the points (5, f(5)) and (6, 200).…

A: Given, f(x)=x³ Therefore, f(5)= 5³= 125

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Q: Find the slope of the tangent line to it's inverse function (f^-1) at the indicated point P and find…

A: Given,         fx=41+x2  , P2,1

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A: We have given a function  f(x)=∫0x(1+sin(sin(t)))dt We have to find f-1'(0).

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Q: Solve each problem by using composite functions. Be sure to show all work. 2. A rock is dropped…

A: A rock is dropped into a pond. The ripple travels outward at a speed of 20 cm/sec

Q: When a circular plate of metal is heated in an oven, its radius increases at a rate of 0.03 cm /…

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Q: Akash displacement from whom is is measured in MI by the function it is equals to

A: Akash displacement from whom is is measured in MI by the function it is equals to

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A: Use formula of avg rate of change

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Q: A pole stands 141 feet tall. An angle 0 is formed when wires of various length x feet are attached…

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Q: When a circular plate of metal is heated in an oven, its radius increases at a rate of 0.04 cm/min.…

A: Rate of change of radius; drdt=0.04 cm/minArea of circular plate, A=πr2 cm2

Q: 9. The altitude of a triangle is increasing at a rate of 2 cm/min while the area of the triangle is…

A: Area of triangle = 12×b×h Where b is base and h is height . And height of the triangle is equal to…

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Q: he measure of the angle subtended at

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A: Givendhdt=1cm/mindAdt=2cm2/minA=100cm2h=10cm

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A: Area =πr² Find dA/dt when r=56 cm

Q: A triangle's base is increasing at the rate of 2 inches/sec, its height at 5 inches/sec. At what…

A: Increasing rate of base, dbdt=2 inches/sec. Increasing rate of height, dhdt=5 inches/sec. Area of…

Q: The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is…

A: Let altitude = h  Area= A Base=B Given dh/dt= 1 , dA/dt=2  We have to find dB/dt at h=10 and A=110…

Q: A toy rocket is launched from the top of a building 95 feet tall at an initial velocity of 223 feet…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: An airplane flying at an altitude of 6 miles passes directly over a radar antenna. When the airplane…

A: