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A window is to be made in the shape of a rectangle with a sash across it (Figure Ex. 23). If the total length of the frame and sash is to be 20 feet, what dimensions will maximize the area of the window?
Use the limit definition of the derivative to find the slope of the tangent line to the curve f(x)=4x^2+7x+5 at x=3
If your company has a total of 34 hours and $350 available per day for these two models, how many can be made in a day?
Construct a 99% confidence interval for the population mean total fat, in grams per serving.
Suppose you are a hospital dietitian and you have prepared ten luncheon menus for next week. How many orderings of seven menus taken from the ten menus are possible?
Give all solutions between o degree and 360 degree for sin x=3/2
Give the x and y components of the electric field as an ordered pair. Express your answer in newtons per coulomb to three significant figures.
Assume the initial value of a car is $18,000 and that the car's value depreciates. The value of the car can be modeled with an exponential function, V = Iekt, where V is the value of the car at year t, I is the initial value of the car, and k is a..
A map has a scale of 1 cm : 19 km. Two cities are 2.5 cm apart on the map. To the nearest tenth of a kilometer, what is the actual distance corresponding to the map distance?
A bus traveled at an average rate of 50 miles per hour then reduced its average rate to 40 miles per hour for the rest of the trip. If the 220-mile trip took 5 hours, determine how long the bus traveled at each rate.
A woman walks due west on the deck of a ship at 2 mi/h. The ship is moving north at a speed of 15 mi/h. Find the speed and direction of the woman relative to the surface of the water. (Round your answers to one decimal place.)
The United States House of Representatives has 78 women representative with 59 being democrats and 19 being republicans. If a lobbyist for AARP randomly selects three different representatives to visit what is the probability
If we want to interpret the given integral as the moment of inertia of a solid about some axis, what is the axis and what is the density of the solid?
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