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the position of a particle in the xy plane at time t is r(t)=(t+4)i+(t^2-4). find an equation in the x and y whoes graph is the path of the particle. then find the particle's velocity and acceleration vectors at t=2
Suppose an object is dropped from a height feet above the ground. Then its height, in feet, after seconds is given by . If a ball is dropped from 208 feet above the ground, how long does it take to reach ground level?
a dealer offers a computer software program whose list price is 500 at a 19% discount. she will give an extra 3% discount if paid in cash. what is the selling price if payment is made in cash?
Show that the osculating plane at every point on the curve r(t)= is the same plane. What can you conclude about the curve?
Using expeccted value to find a fair bet in five card stud. If casino five card stud were fair, how much should it pay to a player who bets $10 and gets a full house versus a dealer who gets two pair?
Lucky Charms has one of six different watches for prizes inside their box of cereal. If you were to purchase 60 boxes, what are the chances that you will collect all six?
a scale drawing has a scale of 1cm:3cm. how thw scale can be use to find the actual distance between objects in the drawing?
suppose that the points a and b are two vertices of a square. find the two other vertices in all possible cases.
Let f (x) = |x| for x greater or equal to -1, less than or equal to +1. Write the Fourier series for f (x) on [-1,1]. Show that this series can be differentiated term by term to yield the Fourier expansion of f'(x) on [-1,1]
Give examples (either a graph or the system of equations) of the 3 types of solutions to a system of linear equations - one solution, no solution, infinitely many solutions.
Why does the graph of the basic exponential function lie entirely above the x-axis?
Develop a point estimate of the mean value of y when x1 = 180 and x2 = 310 (to 3 decimals).
If the rope is pulled in at a rate of 1.4 m/s, how fast is the boat approaching the dock when it is 10 m from the dock?
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