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A power station is on one side of a river that is 1/2 mile wide, and a factory is 6 miles downstream on the other side. It costs $12 per foot to run power lines over land and $16 per foot to run them underwater. Find the most economical path for the transmission line from the power station to the factory.
Compare the functions given below by graphing both functions in several viewing rectangles. For what values of x does the graph of g finally surpass the graph of f ? (Give your answer correct to 1 decimal place.)
a car is traveling 50mi/h when the brakes are fully applied, producing a constant decceleration of 22ft/s^2. What is the distnace traveled before the car comes to a stop.
A poster has an area of 190 inches squared with 1 inch margins at the bottom and sides and a 3 inch margin at the top. What dimensions will give the largest printed area?
What is the total dollar amount to be repaid on the loan, including principle and interest, for the entire year?
What score does a patient at the 75th percentile receive? d. What percentage of patients score between 185 and 199?
A 4 ft high and 7 ft width rectangular plate is submerged vertically in water so that the top is 1 ft below the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate it.
A silver dollar is flipped twice, calculate the probability of each of the following occurring: A, a head on the first flip
The temperature of a cup of Starbucks coffee at time t (in minutes) is T(t)= 70 + c e^(-kt) . Initially, the temperature of the coffee was 200 degrees F.
Muir Manufacturing produces two popular grades of commercial carpeting among its many other products. In the coming production period, Muir needs to decide how many rolls of each grade should be produced in order to maximize profit
A pomegranate is thrown from ground level straight up into the air at time with velocity 150 feet per second. Its height at time -15tsquared+150t seconds is . Find the time it hits the ground and the time it reaches its highest point. What is the ..
a metal storage tank with volume 1000 ft^3 is to be contructed in the shape of a right cylinder surmounted by a hemisphere. what dimensions will require the least amount of metal?
The base of an aquarium with volume V = 440 is made of slate and the sides are made of glass. If slate costs five times as much (per unit area) as glass, find the dimensions of the aquarium that minimize the cost of the materials.
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