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Use polar coordinates to find the volume of the given solid. Bounded by the paraboloid z = 7 + 2x2 + 2y2 and the plane z = 13 in the first octant.
Find the expected value and the variance of X, the number of inspected bottles with serious defects.
Describe how the Fibonacci sequence can be found in Pascal's triangle, then illustrate it using Pascal's triangle.
a farmer has 1200 feet of fence and wishes to build two identical rectangular enclosures. What should be the dimensions of each enclosure if the total area is to be a maximum?
Two opposite vertices of a square are P(3, 2) and Q(-5, -10). Find the length of:
A wrench 0.6 meters long lies along the positive -axis, and grips a bolt at the origin. A force is applied in the direction of at the end of the wrench. Find the magnitude of the force in newtons needed to supply 100 newton-meters of torque to the..
a lighthouse is 4,000 ft from a straight shore. watching the beam on the shore from the point p on the shore that is closest to the lighthouse, an observer notes that the light is moving at a rate of 3 ft/s when it is 1,000 ft from p. how fast is ..
A plane flying horizontally at an altitude of 2 mi and a speed of 520 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 5 mi away from the station. (Round your ans..
Integration by parts method - How much longer would the worm be at t = 2, if it always grew at the maximum rate? Use Integration by parts.
The area (A) of a double tennis court is 312 square yards. Its length is 2 yards longer than twice its width. Find the length (L) and the width (W) of the tennis court.
nsists of a cylindrical main section and a hemispherical roof. If the total volume of the silo (including the part inside the roof section) is 16,000 ft3 and the cylindrical part is 30 ft tall, what is the radius of the silo?
Two distinct even numbers are selected at random from the first ten even numbers greater than zero.
police find the skeleton in an area where a woman slightly over 5ft(60 inches)tall is missing for over a year. can the partial skeleton be the missing woman?show work for h.
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