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A rancher wishes to fence in a rectangular corral enclosing 1300 sq yards and must divide it in half with a fence down the middle. If the perimeter fence costs $5 per yard and the fence down the middle costs $3 per yard, determine the dimensions of the corral so that the fencing cost will be as small as possible.
Find the probability
Hiro is in the spirit club. There are 29 students in the club. Three of them will be picked at random to go on a retreat. What is the probability he will not be selected? Put your answer as a fraction.
Find the absolute max and min values of f(x)=l+6x-3x^3 over the closed interval [0,4].
Find the gradient of f(x,y) at (3,2). Compute the directional derivative (triangle u) f(3,2) where u is the unit vector in the direction of v =
Using the standard inner product in R^3, find two unit vectors that are orthogonal to u=(3,-2)
The firm forecasts that it could sell a maximum of 4,000 A-100's this week and a maximum of 1,000 B-200's. Profits for the A-100 are $1.00 each, and profits for the B-200 are $4.00 each. What are optimal weekly profits?
If the distance from top to bottom is 2 meters and the window may be no more than 1.5 meters wide, find the dimensions of the rectangular portion of the window that lets through the most light.
Probability: Mary is taking two courses, photography and economics. Student records indicate that the probability of passing photography is 0.75, that of failing economics is 0.65, and that of passing at least on of the two courses is 0.85.
Please explain how to create a function whose graph has the indicated characteristics for each of a and b
If the water level is 5 feet below the closed bridge, find the distance d between the end of a section and the water level when the bridge is fully open. (Round your answer to the nearest whole number.)
Guy wires 80 feet long supporrt a 65-foot tall telephone pole. To the nearest degree, what angle will the wires make with the ground.
Newton's Law of Cooling states that the rate at which an object cools is proportional to the difference in temperature between the object and the surrounding medium
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