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Given the curve y = the square root of 16-x^2, -2≤x≤2. Find the volume of the solid generated when y is revolved about the x axis.
James borrows $12,000 for equipment so that he could do some of his personal training work in his garage. He agreed to repay $13,200 after 300 days. Find the amount of interest and the interest rate.
Suppose the current exchange rate for the Polish zloty is Z 2.85. The expected exchange rate in three years is Z 2.93. What is the difference in the annual inflation rates for the United States and Poland over this period?
A legislative committee consists of 8 Democrats, 6 Republicans, and 1 Independent. A delegation of 3 is selected to visit a small Pacific island republic-
Probability from stem and leaf plot, The ages of 25 employees in a company are listed below in a stem and leaf plot. What is the probability that a worker chosen at random
Verify that 18^3 - 1^3 = 17* 7^3 and find a point on the curve x^3 + y^3 = 17 with rational coordinates.
A line passes through the point (x,y)=(-9,6) and has a slope of 3. Write the equation of the line.
A company is constructing an open-top, square-based, rectangular metal tank that will have a volume of 66 ft^3. What dimensions yield the minimum surface area? Round to the nearest tenth, if necessary.
An experimental test to detect a particular type of cancer indicates the presence of cancer in 90% of individuals known to have this type of cancer, and in 15% of individuals known to be cancer-free (false positive)
The temprature recorded in a city during a given day approximately followed the curve of T=0.00100t^4-0.280t^2+25 where t is the number of hours from noon
Find the eigenvalues and eigenvectors.
Prove that the statement "There exists a triangle with a sum of angles greater than 180 degrees" is true in spherical geometry.
Suppose that a "skew" product of vectors in R2 is defined by (u,v)=u1v1-u2v2. Prove that (u,v)squared >equal too (u,u)(v,v). (NOTE; This is just the reverse of the Cauchy- Schwartz inequality for the ordinary dot product.)
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