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A 5.00m X 12.0m swimming pool slopes linearly from a 1.10m depth at one end to a 3.80m depth at the other. What is the volume of the water in the swimming pool?
What is the distance between town and John's current location?
Prove the triangle inequality starting with: |V+W|^2. You must use Re (less than or equal to) | | and the Schwarz inequality.
Find the dimensions of the poster which give the largest printed area
If 1400 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box.
Use a graphing calculator, a spreadsheet, or mathematical software to obtain the solution. Find the APR on a 20-year mortgage of $562,000 carrying a stated interest rate of 4.5% compounded monthly and seven points.
No fencing is required along the river. (See the figure below.) What are the dimensions of the largest area that can be enclosed?
Given the linear correlation coefficient r and the sample size n, determine the critical values of r and use your finding to state whether or not the given r represents a significant linear correlation. Use a significance level of 0.05.
Which part of the quadratic formula tells you whether the quadratic equation can be solved by factoring and why?
Write the matrix of T in the standard basis of C^3. Find all eigenvalues of T. Is there a basis of C^3 such that the matrix of T in that basis is diagonal? If your answer is "NO", explain why.
Find the multiple linear regression.
an open box is to be constructed from a square piece of material by cutting a 3-inch square from each corner. Find the dimensions of the square piece of material if the box is to have a volume of 363 cubic inches.
find the probability that his or her birthday is not in May. If a person is randomly selected, find the probability that his or her birthday is not in May.
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