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When rewriting an exponential expression that has a negative exponent and a positive base to an exponential expression containing a positive exponent, does the sign of the base change? Demonstrate with an example.
A Norman window has the shape of a rectangle capped by a semicircle (see sketch below). What is the length of the base of a Norman window of maximum area if the perimeter of the window equals 9?
Prove that there is a positive integer that equals the sum of the positive integers not exceeding it. Is your proof constructive or nonconstructive?
Which of the following best describes the data: classifications of unlikely, likely, or very likely to describe possible buying of a product?
A medical equipment manufacturing company tested the reliability of blood pressure monitors. It measured the time to failure of 20 randomly sampled monitors it produced. Listed below are the 20 measurements (in months) for the time to first failur..
find the area of the surface of the cylinder z^2 +y^2=9 lying in the first octant between planes y=x^2 and y=3x
Find the volume of the solid in the first octant bounded by the parabolic cylinder z = 4 - x^2 and the plane y = 2.
A dilation has a scale factor of 1/4. What term best describes this type of dilation?
How draw a infinite long cylinder perpendicular to xy-plane by Mathematica ? I do not know how to express the range of z in the code.
From a group of three finalists for a privately endowed scholarship, two individuals are to be selected for the first and second places. Determine the number of possible selections.
According to the data from the U.S. Department of Commerce, movie-theater box-office receipts (in millions of dollars) in year x can be approximated by y= 535.43x+5362.21, where x=0 corresponds to 1995. Assume that this equation remains valid unti..
Determine if the following conforms to the intermediate value theorem. Clearly give the conditions and, if appropriate, find an appropriate value for c.
Linear Transformations, Rotations, Submodules and Subspaces, (7) Let F=R, let V=R^2 and let T be the linear transformation from V to V which is rotation clockwise about the origin by pi-radians. Show that every subspace of V is an F[X]-submodule f..
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