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Consider plane P:3x+2y-4z=8
a) Find the equation of a plane Q that is perpendicular to P, and Q contains (-2,3,1) and (1,2,3)
b) Find the equation of the sphere centered at (1,2,3) tangent to P.
How much money (total) do you have after the 5 years pass and how much do you earn in interest over the 5 years?
Using graph paper, repeat this process from the last problem using different coordinates for P, Q, and R. How do these lengths MN and PQ compare now?
Explain Description of Isomorphism, We are working on the proof of showing G (the group of rigid motions of a regular dodecahedron) is isomorphic to the alternating group A_5.
Calculate the probability that a person for whom the test result is positive has the disease
A sample of 300 is taken and the sample mean is computed to be 7.65 and the sample standard deviation is 5. Assume the data is ratio level.
What is the inverse Laplace transform of (s+1)/((s+4)(s+5)(s+3))? Show work using partial fraction expansion and using Heavside method.
Carmela opened her piggy bank and found she had $15.30. If she had only nickels, dimes, quarters, and half-dollars and an equal number of coins of each kind, how many coins in all did she have?
Find the minimum spanning tree in each of the graphs below using Kruskal's algorithm. Find all the non-isomorphic graphs whose degree sequence is (6, 3, 3, 3, 3, 3, 3).
What are the possible orders of subgroups of S4? Prove that S4 has at least one subgroup of each of these orders. What are the elements of these subgroups?
The spot rate of the British pound to the dollar is 1.68 ($/£). The 180 day forward rate is $1.71, what is the annualized forward premium?
Use the accompanying graph to estimate the year in which the population will reach 400 million people.
The weight of a product is normally distributed with a mean of four ounces and a variance of 0.25 "squared ounces".
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