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John baked a cake. Frank ate 1/6 of the cake. Anne ate 1/5 of what was left. Susan ate 1/4 of what was left after that. Jake ate 1/3 of what was left after that. Cindy ate 1/2 of what was left after that. How much of the original cake was left?
(a) Find the Riemann sum for f(x) = x - 4 sin 2x, 0 x 3, with six terms, taking the sample points to be right endpoints. (Give your answer correct to six decimal places.)
A cyclist travels 105 miles in 7 hours going against the wind. He travels 147 with the wind in the same amount of time. What is the rate of the cyclist in still air and what is the rate of the wind?
Sheila has 25/72 ounces of gold. Bill has 7/30 ounces of gold. How much must Kelly have so that they have a combined 1 full ounce of gold?
John is intending to put $10,000 into investment. He picked a fund that grows at 5% per annum. Assuming his profit is compounded annually, how much money would he have from this investment after 5 years and how long would it take for his money to ..
The average grade on a midterm exam in a certain math class was an 88. Is this a parameter or a statistic?
the speed of the ship had been one-fourth greater, the person would have traveled only 1315 miles in the same lenght of time. Find the speeds of the plane and the ship
A revolving lighthouse is located 100 m from the nearest point P on a straight shoreline. The light makes one revolution every 30 seconds. Find the speed at which a ray of light from the lighthouse moves along the shore at a point 200 m from P.
an aluminum tube with the hexagonal section is 2.5 ft long and has a constant thickness of 0.080 in. Find the largest torque that the tube can carry if the shear stress limited to 7200 psi. answer solution.
What steps are used to calculate the single equivalent discount rate? Is this rate taken off the list price or the net price? Based on your experience and the ideas you learned in this week's lecture, explain why the calculation of a single equiva..
The engine of a sports car rotates at 5,000 revolutions per minute (rpm). Calculate the angular speed of the engine in radians per second. Use 2pi radians = 1 revolution
Find the exact length of the curve defined by y=2[(sqrt(x))^(3)]-1=2x^(3/2)-1 from x=0 to x=2. Set up the integral, use the substitution method( reverse chain rule),
Compute the integral of xdz (|z|=r) for the positive sense of the circle in two ways first by using parametrization and second by observing that x=(1/2)(z+z conjugate)=(1/2)(z+r^2/z) on the circle.
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