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The owner of the Rancho Los Feliz has 3000 yd of fencing to enclose a rectangular piece of grazing land along the straight portion of a river and then subdivide it by means of a fence running parallel to the sides. No fencing is required along the river. (See the figure below.) What are the dimensions of the largest area that can be enclosed?
A montly cost of a long distance phone plan in dollars is a linear function of the total calling time in minutes. When graphed the funtion gives a line with a slope of 0.13.
What are complex numbers? What does imaginary parts of equal magnitude and opposite signs mean? What is the quadratic formula? What is it used for? Provide a useful example.
Make a chart of the possible dimensions for a rectangle with an area of 196 m2. What are the optimum dimensions of the rectangle for minimizing the perimeter?
Design a mathematical model for solving this problem and use any gradient method to ?nd an approximation to the solution of the system (either perform 3 iterations manually or use a Matlab/Mathematica program). Hint: minimise the distance between ..
Find the total distance from the given particle - Evaluate the total distance traveled by the particle from t = 0 and t = 4
What is the cost of renting 2 tuxes. What is the cost of renting 2 tuxes, what is the cost of renting 4000 tuxes, what is the marginal and variable cost.
Find the eigenvalues and eigenvectors.
Find sample size
A kite is flying 70 feet above the ground and is attached to a string tied to a stake on the ground. The angle of elevation formed by the string and the ground is 40°. Find the length of the string to the nearest foot.
Probability : Demand for a Product The demand for a product is estimated to be normally distributed with u=200 and o=40. Let x be the number of units demanded
What is the total defect rate? I came up with 6%. A randomly selected product was defective. What is the probability that it came from Plant A?
A population of animals oscillates sinusoidally between a low of 500 on Janary 1 and a high of 700 on July 1. Graph the population against time. Find a formula for the population P as a function of time, t, measured in months since the start of th..
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