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Question: 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.
A gardener wants to create a rectangular garden with length of 9x - 5y ft. and width of x - 6y ft. What is an algebraic expression for the area of the garden? Be sure to multiply this out, express in simplest correct mathematical form, and include..
Use the linear approximation to estimate the change in volume of a right circular cone of fixed height h = 4m when its radius increases from r = 3m to r = 3.05m [v(r) = πr2h/3].
Withoutgraphing, answer the questions for the following linear system.
snell's law total internal reflection between two materials is seen to occur if a critical angle of 60° is exceeded. if the index of refraction of the material that the light is entering is 1.98, find the index of refraction of the material in whi..
A surveyor standing 50 meters from the base of a building measures the angle to the top of the building and finds it to be 35°. The surveyor then measures the angle to the top of the radio tower on the building and finds that it is 48°. How tall i..
a computerized tutorial center at a local college wants to compare two different statistical software programs.nbsp
Perform the indicated operation - Find the product. (x 3 - 5x 2 -1) 7x 2
Of the 2 that you identified, explain a strategy that one or the other has used in an attempt to gain more control of its respective market and a strategy that you think would work better.
Write equations in a, b, and c that will ensure that the track is smooth at the transition points - Find the elevation of point Q to find an equation for L2
Test at the 1% level of significance, whether the two population proportions are significantly different. Formulate and test the appropriate hypotheses. Use the critical value approach.
Madilyn does homework at the same pace for 4 hours. Which graph best illustrates the speed at which Madilyn completes her homework?
Make sure your answers are as complete as possible. Show all of your work and reasoning. In particular, when there are calculations involved, you must show how you come up with your answers with critical work and/or necessary tables. Answers that ..
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