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Suppose that the position of a particle as a function of time is given by the formula s(t) = 4t3 - t4
(a) Find the velocity and acceleration as functions of time.
(b) Find the times at which the velocity is zero and the times at which the acceleration is zero.
(c) Find the position at the time when the velocity is maximum.
(d) Find the position when the acceleration is maximum.
At the park is a circular wading pool 20 feet in diameter. If parents are seated on the edge of the pool about every three feet, how many parents are sitting on the edge of the pool
There are two lines through the point (2,-3) that are tangent to y=x²+x. Find the x-coordinates of the points where these lines touch the parabola.
What do you think the big ideas in mathematics are, And what might they be for young children and how is mathematics usually represented by, and to, people?
Particles are a major component of air pollution in many areas. It is of interest to study the sizes of contaminating particles. Find the cumulative distribution function of the particle diameter
A runner wants to run 14.4 km. She knows that her running pace is 7.2 mi/h. How many minutes must she run? Hint: Use 7.2 mi/h as a conversion factor between distance and time. (If you could please show steps of how you got the answer) Thank you
A fluid at 0.7 bar occupying 0.09 m^3 is compressed reversibly to a pressure of 3.5 bar according to a law pvn = constant. calculate the net work of the cycle
Triangular num b ers are integers of the form n ( n + 1) / 2. The term comes from the fact that a triangular grid with n points on a side has a total of n ( n + 1) / 2 points. Write a function trinums(m) that generates all the triangular numbers l..
A labeled tree is a tree where each vertex is assigned a label. Two labeled trees are considered isomorphic when there is an isomorphism between them that preserves the labels of vertices. How many nonisomorphic trees are there with three vertices..
you are reducing a map of dimensions 2ft by 3ft to fit to a piece of paper 8 in by 10 in. What are the dimensions of the largest possible map that can fit on the page.
Find the distance across the lake from A to C to the nearest yard using the measurements 140yd 80 degrees and 160yd.
First rewrite the equation as f(x) = g(x) where
Find a quadratic polynomial approximate solution to the BVP using the collocation method with the collocation point at the centre of the domain x1 = 1.
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