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find the radian measure of the central angle of a circle of radius r that intercepts arc length s. r=2.7 meters s=4.32 centimeters
A building has a rectangular base with opposite corners at (1, 2) and (3, 8). The roof is the graph of f(x, y) = x sin (y) + x + 2. What is the volume of the building and what is the average height of the building?
Using the window setting to make a graph.
Carl wants to construct three rectangular dog-trainig arenas side-by-side, as shown, using a total of 340 feet of fencing. What should the overall length and width be in order to maximize the area of the three combined arenas?
Find how fast temperature is changing for the bug after 2 seconds if the temperature function satisfies Tz(√3, -8) = 3 and Ty(√3, -8) = -1. Provide a graph of the bug's position during the first 6 seconds.
A cylinder is to be constructed so that it will have a minimum surface area while holding 128 pi cubic feet of gasoline. Determine the necessary dimmensions. Be sure to verify your answers indeed guarantee that a minimization has been accomplished..
What are the dimensions of a closed rectangular box that has a square cross section, a capacity of 104 in. cubed, and is constructed using the least amount of material? (Round your answers to two decimal places.)
Research the term primary key. Discuss what this means in the context of functions and relations.
Imagine that you work with a team of hospital facility designers. An investor has asked your team to design a bariatric unit for the local hospital.
A rancher has 1200 ft of fencing to enclose two adjacent rectangular regions of equal areas. express the area A of the two rectangles as a function of the width x.
A support wire is attached to the top of a 150m radio tower. The wire is 190m long. Find the measure to the nearest degree of the angle the wire makes with the ground.
Seven peas are generated from parents having the green/yellow pair of genes., so there is a .75 probability that an individuaal pea will have a green pod. find the probability that among 7 offspring peas, at least 6 have green pods. is it unusu..
Find the limit. Use I'Hospital's Rule if appropriate. If there is a more elementary method, consider using it. limx→∞ (1 + a/x)bx.
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