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Evaluate the Riemann sum for f(x)=3-1x/2 x is greater than or equal to 2 and less than or equal to 14 with six subintervals, taking the sample points to be left end- points. Explain, with the aid of a diagram, what the Riemann sum represents.
a window has a shape of rectangle surmounted by a equilateral triangle.if the perimeter of the window is 12m, find the dimensions of the rectangle that will produce largest area of the window.
A circle of radius 1 rolls around the outside of a circle of radius 2 without slipping. The curve traced by a point on the circumference of the smaller circle is called an epicycloid. Use the angle theta to find the set of parametric equations of ..
how to find the dimensions of a open box when all you have is the volume which is 6000?
when x15 - 1 is divided by Xm - 1for m = 1, . . . . 14. Why do all the remainders have no more than two terms? What other patterns are there? Why do they occur? What would happen if 15 was replaced by another number?
how many cups of each type were sold? What was the dollar value of each type of cup sold?
but water leaks out of a hole in the bucket at a rate of 0.15 lb/s. Find the work done W in pulling the bucket to the top of the well.
general relation between linear algebra and abstract algebra.
A manufacture has been selling 1300 television sets a week at 420 each. A market survey indicates that for each 16 rebate offered to a buyer, the number of sets sold will increase by 160 per week.
A conical tank (with vertex down) is 12 feet across the top and 14 feet deep. Water is flowing into the tank at the rate of 11 cubic feet per minute, find the rate of change of depth of water when the water is 6ft deep.
Find the velocity and position vectors of a particle that has the given acceleration and the given inital velocity and positions.
After the plane travels three miles along this flight path, how high (in feet) is it above the ground?
If the outside of a picture frame measures 9 in by 15 in. of the picture shows. Find the thickness of the frame?
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