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Given the curves r=2sin(θ) and r=2sin(2θ), 0 ≤ θ ≤ π2, find the area of the region outside the first curve and inside the second curve.
Given the linear equation, find the y-coordinates of the points (-9, ), (0, ), and (9, ). Please show all of your work. Plot those points and graph the linear equation.
If you were to graph these functions, what feature would appear in the graph at the limiting value? Why?
Use Gram-Schmidt algorithm to the sequence {x_1,x_2, x_3} to find an orthonormal basis of S. Use the result above to find the QR factorization of the matrix A=(x_1l x_2l x_3).
Please describe the following: How do you find the length of the hypotenuse of a triangle?
If this card were using the interest rates of 30 years ago, how much interest would your card charge you this month?
What is the angle of elevation of the ladder?
Expected value, indifference probabilities, expected utility, For the payoff table below, the decision maker will use P(s1) = .15, P(s2) = .5, and P(s3) = .35.
It usually takes John 3 hours longer to do the monthly payroll than it takes Peter. They start working on it together at 9am and at 5pm, they have 85% of it done.
Find the component form of the vector v that has an initial point at (1,-2,2) and a terminal point at (3,-3,0) find the component form of the vector w if ||w||=4 and points in the direction opposite v. hint: normalize v first.
Swearingen and McDonald, a small furniture manufacturer, produces fine hardwood tables and chairs. Each product must go through three stages in the manufacturing process -assembly, finishing, and inspection
Find the largest area of an Isosceles triangle if the two equal sides are 15cm long.
You pay $6 to play a game where you will roll a die, with a payoff as follows: $8 for a 6, $7 for a 5, and $4 for any other result. What are your expected winnings? Is the game fair?
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