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An object is thrown vertically upward with an initial velocity of 48 ft/sec off the ledge of a building 160 ft above ground.
(a) How high does it go, and
(b) with what speed does it impact with the ground?
Determine the equilibrium position of a cylinder of radius 3 inches, height 20 inches, and weight 5pi lb that is floating with its axis vertical in a deep pool of water of weight density 62.5 lb/ft^2.
(a) How many square inches in area is the aluminum plate (the shaded region)? (b) if the cost to construct the plate is $6.50 per square inch, what is the construction cost?
1. integrate the following2. for each of the following pairs of functions graph each one together in desmos show on
Let n be a natural number, and let f: R-->R be the function f(x) :=x^n. Show that f is differentiable on R and f '(x)=nx^n-1 for all x belonging to R
It is known that the time (in hours) between consecutive traffic accidents can be described by the exponential r.v. X with parameter (Lambda = 1/60). Find (i) P(X
A simple pulley with the given radius used to lift heavy objects is positioned 10 feet above ground level. Given that the pulley rotates theta degrees, determine the height to which the object is lifted. a) r=4 in, theta=720 degrees b) r=2 ft, the..
A particle moves according to a law of motion s = f(t) = t3 -9t2+24t, t ≥ 0. When is the particle moving in the positive direction? Find the total distance traveled during the first 6 s.
find the supply and demand for particular value when supply and demand functions are given.suppose the supply and
Give an example of a real-world situation in which you would apply graphing and operating on conic sections. Describe a career where this would be important. Explain your answer.
find the average distance to the x-axis for points in the region bounded by the x-axis and the graph of y = x - x^2.
To the nearest tenth of a cubic inch, how much volume is added to a spherical balloon whose radius grows from 10 to 20 inches long?
when watching a professional football game viewers can observe the pass completion statistics of a quarterback. is this
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