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Let S be the part of the plane 2x+2y+z=2 which lies in the first octant, oriented upward. Find the flux of the vector field F=4i+1j+2k across the surface S.
V3(R) represents the set of vectors in 3D space. What kind of geometrical objects are represented by the various subspaces of V3(R)?
Application Problem 1G (Geometric application- See Appendix A in your textbook for formulas of geometric figures)
Pauline takes a loan of S dollars at an interest rate of r percent per month, compounded monthly. She plans to repay the loan in T equal monthly installments of P dollars each.
The Rule of 70 is a mathematical approximation that calculates how long it takes for a value to double. Examples are as varied as finding how long it takes the Gross Domestic Product to double
Create a system of equations that includes one linear equation and one quadratic equation and create a rational equation that has an extraneous solution.
It takes 16 minutes to set up a candy making machine. Once the machine is set up, it produces 30 candies per minute. Use an inequality to find the number of candies that can be produced in 5 hours if the machine has not yet been set up.
An airplane is flying at an altitude of 8.4 miles towards a point directly over an observer. If the speed of the plane is 521 miles per hour, find the rate at which the angle of observation,θ,changing by at the moment when the angle is 27 degrees
Let P be the point (6,0), let Q be the point (0,4), and let R be the triangular region with with vertices at P, Q, and the origin. Determine the volume of the solid of revolution formed when R is revolved about the y-axis.
The price paid by Brady Investment Corp resulted in Brady having a 7% annual yield on their sixteen-year investment. Find the price that Brady Investment Corp paid Stewart Financial Enterprises.
Find all triples (x, y, z) of real numbers having the following property: when any one of the numbers is added to the product of the other two, the result equals 2.
Find the 99 percent confidence interval on the proportion of all such gloves that are shorter than nine inches.
A random sample of 30 households was selected from a particular neighborhood. The number of cars for each household is shown below. Estimate the mean number of cars per household for the population of households in the neighborhood. Give the 95% c..
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