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Let denote the amount of money invested at 8. Find an expression in terms of for the amount invested at 6.
Let A be a positive definite matrix. Show that X has a unique positive square root. That is, show that there exists a unique positive matrix X such that X^2 =A.
A surveyor fins that a tree on the opposite bank of a river, flowing due east, has a bearing of N 22 degrees 30' E from a certain point and a bearing of N 15 degrees W from a point 400 feet downstream. Find the width of the river.
If the outside of a picture frame measures 9 in by 15 in. of the picture shows. Find the thickness of the frame?
In recession, congress decided to stimulate the economy by providing funds to hire unemployed workers for gov. projects. Suppose the t months after the stimulus programs have begun, there are N(t) thousand people unemployed, where:
show that A is an ideal of R and describe the cosets in R/A
Find the size of a corner square that will produce an opened-top box with the largest possible volume.
A cardboard box manufacturer wishes to make open boxes from rectangular pieces of cardboard with dimensions 10 in. by 17 in. by cutting equal squares from the four corners and turning up the sides.
What is the equation of the vertical line and the equation of the horizontal line throught Point A?
At what speed is the boat approaching the dock when it is 20 feet from the dock? 10 feet from the dock?
Consider the : Cash in Bank - checking account of $13,500, Cash on hand of $500, Post-dated checks received totaling $3,500, and Certificates of deposit totaling $124,000. How much should be reported as cash in the balance sheet?
Explain the difference between the solution sets when a compound inequality contains the word "and" versus when the inequality contains the word "or".
The temperature u in a star of conductivity 2 is inversely proportional to the distance from the center: u=(2/sqrt(x^2+y^2+z^2)). If the star is a sphere of radius 1, find the rate of heat flow outward across the surface of the star.
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