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Please include each step in solving the following problems:
1.) A particle starts moving with the initial velocity v(0) = 1 and accelerates as a(t) = sin t + t for t > 0.
(a) Find the velocity function for the particle.
(b) What would be its velocity at time t = 5.
2.) An object starts from rest and has an acceleration of a(t) = t^2 .
(a) What is its velocity after 3 seconds?
(b) What is its position after 3 seconds?
Determine whether a scalar or a vector is described in part (a) and part (b).
If n=16, sample mean = 75, sample standard deviation s = 8. The hypotheses are Ho: μ = 80 and Ha: μ
Construct a 95% confidence interval estimate for the true proportion of Green Bay residents who use a smart phone.
Consider the geometric sequence which begins -3072, 1536, -768.
Assuming that the payment was to be made just to acquire the customers of T-Mobile and the customers provided an average annual margin of $200
an oil company distibutes oil in a metal shaped like a cylinder that has an actual radius of 5.1 cm and a height of 15.1 cm. A worker incorrectly measured the radius as 5 cm and the height as 15 cm. Determine the relative error in calculating the ..
The sales representative here tells you they also have two floor plans available, but they only have 38 homes still for sale. Write an equation that illustrates the situation. Use x and y to denote floor plan one and floor plan two respectively.
How far away is the end of the pole from the base of the pole along the ground?
The Pentagon, headquarters of the U.S. Department of Defense, is the world's largest office building.
The total cost of the fencing along three sides comes to $1950. What are the lot's dimensions?
In this plane there sits a disk of radius 1 with conductivity . Normally this disk will distort the current flow as it is more conductive than the plane, however we will "cloak" this disk by placing an annulus 1 of less conductive material around the..
A tank holds liquid waste comprised mostly opf water. It is vented to the atmosphere. the tank has a diameter of 50 feet and a total depth of 30 feet, it is only half full. At a poin t five feet above the bottom of the tank, what is the approximat..
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