Convert the polar equation to rectangular coordinates. r + cos? = 3


(e) none of these

Mathematics

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Evaluate. The differential is exact.

A. 0
B.  + ln 4
C.  + ln 4
D.  + ln 4

Mathematics

Solve the problem.On Monday, an investor bought 100 shares of stock. On Tuesday, the value of the shares went up 9%. How much did the investor pay for the 100 shares if he sold them Wednesday morning for $1417?

A. $1300 B. $1545 C. $1367 D. $1350

Mathematics

Test the equation for symmetry with respect to the x-axis, the y-axis, and the origin. Sketch the graph of the equation.


Mathematics

The proprietor of Cunningham's Hardware Store has decided to install floodlights on the premises as a measure against vandalism and theft. If the probability is 0.01 that a certain brand of floodlight will burn out within a year, find the minimum number of floodlights that must be installed to ensure that the probability that at least one of them will remain functional within the year is at least 0.99999. (Assume that the floodlights operate independently.)

a. 72 b. 2 c. 1,001 d. 4 e. 3

Mathematics