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A bridge is to be built across a waterway which is fty feet wide and is frequented by ships. The bridge design team determines that a parabolic opening underneath the bridge is the best possible option for both structure and functionality (keeping the waterway passable by ships while still being safe for vehicles to travel across).
If parabolic opening touches the ground right at the edges of the waterway and the maximum height of the opening is 60ft, what is the maximum height that a 20-foot wide boat could be and still pass through the opening? A discussion (one paragraph or so) on what the problem is asking. Someone who has never seen the original problem should be able to tell what the problem was and exactly what is being asked after reading this paragraph.
A short discussion on your plan for solving the problem. This should include de nitions of each of the variables as well as an explanation of the equation you are building and using to solve the problem.
A step by step solution of the problem. This should be clear and easy for a reader to follow (even if the reader may not be well-versed in mathematics). This means you should justify your steps in solving the problem.
A clear statement of the solution to the problem and answers to any questions. Any implications of the solution.
The downstream distance, D1 is 12 miles, and the upstream distance D2 is 9miles. Substitute these values in the ratio above and solve for C. Leave answer in fraction form.
Given the following 3X3 matrix find the eigenvalues and eigenvectors. Please solve by hand before checking with a computer program!
With the definition that pi is the area of the unit circle, explain why pi equals 8 times the integral from 0 to 1/sqrt(2) of (sqrt(1 - x^2) - x) dx. use the Romberg algorithm to approximate the integral.
Develop a tree diagram for tossing two, eight-sided gaming dice to figure out how many possibilities there are. Define Tree Diagram and Dice Tossing
If I have a right prism with the prism height being 8 and the prism base being an isosceles triangle with a base of 3 (sides of 6) what is the lateral area and the volume of the prism
Chandra has twice as much money as Nora. Nora has $6 less than Lian. Together they have $54. how much money does each have?
The number of assists per match for the setter on your school's volleyball team has a mean of 58 and a standard deviation of 7. If in the last game he made 77 assists, how many standard deviations is that from the mean?
Find the equation of the regression line for the given data. Predict the value of Y when X=-2? Predict the value of Y when X = 4?
Anthony invested a sum of money 3 years ago in a savings account that has since paid interest at the rate of 8%/year compounded quarterly. His investment is now worth $30,437.80. How much did he originally invest?
A street light is mounted at the top of a 11 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 8 ft/sec along a straight path. How fast is the tip of her shadow moving when she is 40 ft from the base of the pole?
You invested $10,000 in two bank accounts paying 8% and 10% annual interest, respectively. At the end of the year, the total interest from these investments was $940
Mark a point at the intersection of two rulings. The lattice point. Seven units to the right and four units up, mark another. Use a ruler to find the distance from one point to the other
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