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an object is thrown upward from the top of a 64-foot building with an initial velocity of 48ft per second, which implies that the position function is s = -16t squared + 48t +64 where the time t is measured in seconds.
(a) write the velocity and acceleration functions for the object.
(b) when is the velocity of the object zero?
Use a wire of length x to bend into a shape of rectangle, a square, and a circle. Which shape has the largest area? *show which is largest* write functions
MTH-163 Precalculus I: Expand or contract the expression using the properties of logarithms. Find the exact value without using a calculator. If this is not possible, state why not.
Calculate the mean of the distribution of sample means and the population mean.
suppose a motorboat is moving at 40ft/s when its motor suddenly quits and that 10s later the boat has slowed to 20ft/s. assume that the resistance it encounters while coasting is proportional to the square of the velocity (v'=-k(v^2)) how far does..
a company wants to construct a box that will hold exactly 200 one inch cubes. find the dimensions of all possible boxes. which size box do you think the company should make? why?
A copier that originally cost $300 was sold on the installment plan as $28 per month for 12 months. Find the installment price if no down payment was made. Find the finance charge.
Use six rectangles to find estimates of each type for the area under the given graph of f from x = 0 to x = 240.
Write the expression in the standard form a + b i. First convert to rectangular form--- calculate the magnitude-- find reference angle--then the argument of z---
A test vehicle on a track goes through photo gates spaced 25 m apart at the following times: 2.00 sec, 3.30 sec, 4.30 sec. Plot the position versus time of the vehicle. Plot the average speed of the vehicle in the time intervals versus time.
Write a method to calculate the area of a circle. Return the area and write a method to calculate the circumference of a circle.
Prove that if f(x) is even on [-a, a] and integrable on [0, a] where a>0, then f(x) is integrable on [-a, a] and Int([-a, a], f(x)dx) = 2*Int([0, a], f(x)dx).
The Complement A of an r-subset A of {1,2...,n} is the (n-r)-subset of {1,2,...,n} consisting of all those elements that do not belong to A. Let M= C(n,r), the number of r subsets and at the same time the number of (n-r)
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