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a bullet of mass 0.04kg travelling at 300m/s hits a fixed wooden block and penetrates a distance of 4cm. find the average resistance of the wood.
Find the slope of the tangent line to the curve
Determine the best decision, using the following decision criteria.
Traders often buy foreign currency in hope of making money when the currency's value changes. For example, on February 17, 2006, one U.S. dollar could purchase 0.8382 Euros, and one Euro could purchase 140.9687 yen.
Prove that if P is any point in a regular tetrahedron of height h, then the sum of the perpendicular distances from p to the four faces of the tetrahedron is equal to h.
Suppose a pyramid has a retangular base whose width is 5 centimeters less than its length. If the height is 1 centimeter and the volume is 12 cubic centimeters, find the length of the base.
Vanilla Box Company is going to make open-topped boxes out of 11 × 11-inch rectangles of cardboard by cutting squares out of the corners and folding up the sides. What is the largest volume box it can make this way? (Round your answer to the neare..
We have defined space X to be contractible in two ways: Show that these two definitions are equivalent.
Find the polynomial of degree five whose graph goes through the points (0,5), (1,-1), (2,5) and whose slope at x=0 is -1, at x=1 is -2, and at x=2 is 3.
Create an integral whereby you are forced to use all four types of integration. Work the problem and explain why each (u-substitution, trig substitution, fractions, parts) are all needed.
eighty percent of drivers wear seat belts. If three drivers are pulled over, what is the probability that all would be wearing their seat belts?
The robot gets out of the well (carrying the wrench) by climbing up the cable with one end of the cable still attached to the robot. How much work does the robot do in climbing to the top of the well?
The intersection of two open sets is compact iff it is empty. Can the intersection of an infinite collection of open sets be a non-empty compact set?
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