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A rubber ball (a sphere) is expanding in such a way that its radius increases from 8cm to 8.04cm.
(a) What is the approximate change in its volume?
(b) Is the approximate change larger or smaller than the actual change?
The theorem stated below is followed by statements from its proof. For each of the numbered statements provide a short comment that explains or justifies it.
The following table describes hypothetical age-specific rates of cancer for Florida and California in 2016. Also included are hypothetical age distributions for the two states and the entire United States Population.
The surface area of this pyramid is 189 The area of the square base is 49. What is the area of one triangular face of the lateral surface? Show the steps of your solution and explain your work.
How much wire should be used for the square in order to maximize the total area?
Find the volume of the solid generated by revolving the following region about the y-axis. The region in the first quadrant bounded above by the parobola y=x^2, below by the x-axis, and on the right by the line x=3.
What effective interest rate is being charged on the instalment plan?
A box is to be constructed from a sheet of cardboard that is 20 cm by 60 cm, by cutting out squares of length x by x from each corner and bending up the sides. What is the maximum volume this box could have?
Inside a semicircular tunnel of diameter 24 feet, a vertical support beam is placed 5 feet from the side of the tunnel. How tall is the beam?
Linear Spaces, Mappings and Dimensional Spaces, 1) Show that if dim X = 1 and T belongs to L(X,X), there exists k in K st Tx=kx for all x in X.
rapid city is having its annual citywide celebration. the city wants to rent a bumper-car ride. the pieces used to make
Permutation and combination to find number of ways
A man in rowboat at point P, 150km from the shore, wishes to reach a point B, 600 km down shore, in the shortest amount of time. Where should he land if he can row at 4km/hr and walk at 7km/hr?
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