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A volcano fills the volume between the graphs z=0 and z=1(x2+y2)10, and outside the cylinder x2+y2=1. Find the volume of this volcano.
A buoy oscillates in simple harmonic motion y = A cos omega(t) The buoy moves a total of 3.5 feet (vertically) from its low point to its high point. It returns to its high point every 10 seconds.
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.
Find and simplify the difference quotient for G(X)=1/x^2. HINT: After finding the difference quotient, simplify by using an LCD to combine the fractions.
I get the critical points are(0,0) and(-2^1/5, 4^1/5). Then I get det(0,0)=2 and det(-2^1/5, 4^1/5)=-10, so index of the system is -8 and the index of periodic orbit is 1, so there's no periodic orbit.
Probability. A grab bag contains 10 $1 prizes, 7 $5 prizes, and 5 $20 prizes. Three prizes are chosen at random. Find the following probabilities.
What you need to know about Probability problems Two students, Jen and John, are registered for the same class and attend independently to each other
Computing the Volume of a regular tetrahedron of edge length 2(alpha). Explain how to compute the volume of a regular tetrahedron of edge length 2(alpha).
Suppose three fair coins are flipped. Find the probability for each of the following events. Exactly two coins are tails.
The hypothesized developmental differences
Evaluate a function on fixed-point iteration will converge to a positive solution of the equation.
A system consists of three subsystems in parallel (assume operating redundancy). The individual subsystem reliabilities are as follows:
Using the definition of a measurable function, show that any constant function is measurable. Definition of a measurable function: the function f is measurable on the interval [a,b] if for all c in R, the set {x in [a,b] : f(x) >c} is measurable.
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