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Prove that if P is any point in a regular tetrahedron of height h, then the sum of the perpendicular distances from p to the four faces of the tetrahedron is equal to h.
I will use * to symbolize a partial derivative. For example, u*x denotes the partial derivative of u with repsect to x. Here is the problem, D'Alembert's solution for the one-dimensional wave equation for a semi-infinite string.
Use a graphing device to graph the polar curve. Choose the parameter interval to make sure that you produce the entire curve.
During the last hour, a telemarketer dialed 20 numbers and reached 4 busy signals, 3 answering machines, and 13 people. Use this information to determine the empirical probability that the next call will be answered in person.
Using row operations, determine if the following set of equations has a solution:
Hypothesis test for two differences between means
Please evaluate the following integral using trigonometric substitution. Please show all steps in the solution.
Find the linear correlation coefficient
Lisa participated in a triathlon in which she swam 3 miles ran 5 miles and then bicycled 10 miles. Lisa ran twice as fast as she swam and she cycled three times as fast as she swam.
Let p(x) = Ax^2 + Bx + C. Prove that for any interval [a,b], the value c guaranteed by the Mean Value Theorem is the midpoint of the interval.
Evaluate the multiple integral under given condition using spherical coordinate - Convert the following triple integral to an appropriate coordinate system and evaluate.
In the following case, state if the following set of vectors are linearly independent or linearly dependent. Justify your answer.
What is the probability that a student selected at random in the university is male and majors in mathematics?
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