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Vectors and scalar quantities: Consider an object traveling around the elliptical track. It's location is given by
r(t) = cos3ti + 5sin3tj where t is time.
a. Find the velocity and acceleration.
b. Find the speed and show that the maximum value of the speed is 15 and the minimum is 3. Specify the times at which the speed is maximum and the times that it is minimum for 0 ≤ t ≤ 3π/2.
c. Find the location, velocity and acceleration for the two values of time when the speed is maximum and the two values of time when it is minimum for 0 ≤ t ≤ 2π3? (Problem is not correct if these are written as scalars.)
If a system of m linear equations in four unknowns has a unique solution, then m must be greater than or equal to four. If a system of m linear equations in four unknowns has no solutions, then m must be greater than or equal to four.
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The total time for the trip isv4 hours. What was the speed on the first part of the trip? and what was the mph on the second part of the trip?
how many cups of each type were sold? What was the dollar value of each type of cup sold?
The formula A = 6s^2 will calculate the surface area of cube. Suppose you have a cube that has a surface are of 216 in ^2. What is the length of each side?
Least common denominators are required for adding and subtracting rational expressions. What steps must be taken to obtain this requirement? Demonstrate the process with your own example.
23 cars had only air conditioning, 63 cars had only automatic transmissions, and 28 cars had only power steering. 10 cars had both automatic transmission and power steering. How many cars had air conditioning and automatic transmission but not pow..
How many different four-digit numbers can be formed from the digits 0 through 9 if the first digit must be even and cannot be zero?
Let C denote the circle |z| = 1, taken counterclockwise, and use the following steps to show that By using maclaurin series for e^z write the above integral as
Let X be an infinite set with the finite complement topology. Let T1 denote the product to topology on X*X and let T2 dent the finite complement topology on X*X. Prove that T1 is strictly finer than T2.
The Length of the top of a table is 7 m greater than the width. The area is 78 m^2. Find the dimensions of the table. Width=? Length=?
Suppose the minimum number of test tubes is increased to 3000. Use shadow costs to calculate the total cost in this case.
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