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A person is holding a rope on a hot air balloon that is rising straight up. The person is a constant 93 feet away from the balloon's starting point and the angle that the rope makes with the ground increases at a rate of 0.01 radians/minute. How fast is the balloon rising when the angle is 0.6 radians?
Let alpha = {x_1, x_2, ..., x_n} be an arbitrary orthonormal basis for V. Prove that T is orthogonal iff [T]_alphaalpha is an orthogonal matrix.
The rabbit population in a forest arear grows at the rate of 7% monthly. if there are 190 rabbits in July, find how many rabbits shouls be expected by the next July. Use y=190(2.7)^0.07t.
A marketing expert for MTV is planning a survey in which 500 people will be randomly selected from each age group of 10-19, 20-29, and so on. What type of sampling technique is being used?
The weights of full-grown adult female okapis are normally distributed with a mean of 500 pounds and a standard deviation of 30 pounds. What is the probability that
Important information about Elliptic boundary value problem (lap) means the Laplacian Vrr means the second derivative of V with respect to r
Let W be the space spanned by f = sinx and g = cosx. Show that for any value of theta, f, = sin(x + theta) and g_1 = cos (x + theta) vectors in W.
Find the altitude of a parallelepiped determined by vectors A, B, and C if the base is taken to be the parallelogram determined by A and B and
Grocery store receipts show that customer purchases have a skewed distribution with a mean of $32 and a standard deviation $20.
Find the area of intersection of r=3 and r=3-3cosθ
Len Mast earned $2,200 for the last two weeks. He is married, is paid biweekly, and claims 3 exemption. What is Len's income tax? Use the percentage method.
Show that ~ is an equivalence on M and if a* deontes the equivalence class of a, let M* = {a*| a belongs to M} denote the set of all equivalence classes. Show that a*b* = (ab)* is a well-defined operation on M* deontes.
A kilobyte is 2^10. A megabyte is 2^20 bytes. How many kilobytes are in a megabyte? Use the exponent rule for division to find your answer and give your answer in exponential form.
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