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A) Write a plane equation for plane passing through P (1,2,3) and perpendicular to n = <5, -3, 2>.
b) Write a plane equation for plane passing through P(1, 2, 3), Q(-1,0,1) and R(0,0,1).
Find the x, y, and z intercepts and sketch the plane.
Joe wants to sell his horses for 500.00 each and his cows for 300.00 each for a total of 2100.00 for them all. How many horses and how many cows are Joe selling?
The marginal revenue for a certain product is given by dR/dx = 25-2x. Find the change in revenue when sales increase from 7 to 10 units.
Explain what the index of a subgroup and a coset of a group are. Also, prove that if N is a subgroup of a group G such that [G: N] = 2, and if "a" and "b" are elements of G,
The acceleration due to gravity near the surface of Mars is 3.72ms^-2. A rock is thrown straight up from the surface with an initial velocity of 23ms^-2.
Using row operations, determine if the following set of equations has a solution:
To make a conjecture about the tangent lines and the graph with the proof of the conjecture - Find the distance between the functions is greatest, and prove your conjecture.
Prove that the subgroup of A4 generated by any element of order 2 and and any element of order 3 is all of A4. Prove that if x and y are distinct 3-cycles in S4 with x != y^-1 (x not equal to the inverse of y), then the subgroup of S4 generated by x..
Make an interval estimate of the mean so that you are 90 percent confidant that the true mean is in your interval.
Find the appropriate tests to use for this study.
What was the smallest possible number of people? What are all possible numbers of people?
Probability of guessing four correct out 20 multiple choices, If a student randomly guesses at 20 multiple-choice questions, what is the probability that the student gets exactly four correct?
It is known that the time (in hours) between consecutive traffic accidents can be described by the exponential r.v. X with parameter (Lambda = 1/60). Find (i) P(X
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