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1. Set up the double integral in polar coordinates that calculates the volume of the given solid. Do not evaluate the integral.
Below the paraboloid z = 8 - 2x2 - 2y2 and above the xy-plane.
2. A lamina occupies the part of the disk x2 + y2 49 in the first quadrant. Set up the integrals that calculate the center of mass of the lamina if the density at any point is proportional to the square of its distance from the origin. Do not evaluate the integrals.
If 32.7 cal of heat is removed from 17.8 g of copper, the temperature decreased to 15.2 oC. What was the initial temperature of the copper? (The specific heat of copper is 0.0908 cal/(g oC))
explain the main differences among integers rational numbers real numbers and irrational numbers. how are these used in
Suppose you have a mean standardized score of 1000 points with a standard deviation of 200 points.
For any given circles R and R' in C_oo, there is a mobius transformation T such that T(r)=R'. Further, we can specify that T take any 3 points on R onto any 3 points of R'. If we do specify Tz_j for j=2,3,4 (distinct z_j in R), then T is unique.
The length of a rectangle is 5 mm longer than its width. Its perimeter is more than 30 mm. Let w equal the width of the rectangle.
Trace the algorithm below and track the number of times that the addition operation (+) is executed over the course of the program's run time. Answer the question by giving a formula in terms of n:
base elevation of 8700 ft, mountain peak in colorado rises 14407 ft over distance of 15844 ft. find the grade of the peak.
assume that your present job pays a monthly gross salary of 1560. you are offered a new position that pays 8.60 per
Find the x-intercept(s) and the coordinates of the vertex for the parabola y=x^2+2x-35 . If there is more than one x -intercept, separate them with commas.
in your own words explain the process of factoring a trinomial with a leading coefficient that is not equal to one. why
The dimensions of a triangular lot are 160 feet by 80 feet by 120 feet. If the price of such land is $3 per square foot, how much does the land cost?
form a simplifed rational expression from the ratio of the two areas use the circle area as the numerator
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