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A bicycle rider's right foot presses down on the bicycle's right pedal, but the force depends on the position of the pedal.
If the pedal follows the path rightarrow r→(t) = (0.2 cos t, - 0.2 sin t), and the force exerted at position (x,y) is F→(x, y) = (100 x, 1000 y/ - 2000 x - 200). Find the work done for one rotation-from t = 0 to t = 2π. Show your set up. but please use WolframAlpha to evaluate any resulting integrals.
Let R be the region bounded by the curves f(x) = ln(x+3) +2 and g(x) = x^2 - 8x + 18. Using the washer method, find the volume of the shape which is formed if R is rotated around the x- axis.
the temperture is 33 degrees at 10am and 60 degrees at 4pm. what is the average rise in temperature per hour?
If hazelnuts sell for $6 per pound and chocolate sells for $3 per pound, how pounds of each must they mix to get their desired product?
A non-linear spring obeys the modified Hooke's Law: F=-kxex, Where F is force in newtons, k is 2(N/m), and x is horizontal displacement if the right end of the spring in meters measured from the origin. What is the work done in stretching this spr..
certain drug is made out of two compounds only: A and compound B. To make this drug 6 parts of compound A are used for every 5 parts of compound B. If a chemist wants to make 957 milliliters of this drug, how many milliliters of compound B are nee..
suppose your statistics instructor gave six examinations during the semester. you received the following grades percent
The volume of a cylinder (think about the volume of a can) is given by V = pi r2h where r is the radius of the cylinder and h is the height of the cylinder. Suppose the volume of the can is 100 cubic centimeters.
Imagine you are at a gas station filling up your tank with gas. The function C(g) represents the cost C of filling up the gas tank with g gallons. Given the equation C(g)=3.03(g).
An open rectangular box has volume of 32 cubic cm. What are the lengths of the edges giving the minimum surface area?
from a window 33 above the street the angle of elevation of a building across the street is 46 degrees, the angle to the base of the building depression is 18 degrees. Find the height of the building across the street.
Rate of change over the time intervals .
A rectangular swimming pool 60 ft long, 10 ft wide, and 8 ft deep is filled with water to a depth of 7 ft. Use an integral to find the work required to pump all the water out over the top. (Take as the density of water delta = 62.4 hbox{lb/ft}^3.)
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