Find the area of the region specified in polar coordinates.the region enclosed by the curve r = 9 + cos ?

A. 82?
B. ?
C. 41?
D. ?


Answer: B

Mathematics

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Solve.For a resistor in a direct current circuit that does not vary its resistance, the power that a resistor must dissipate is directly proportional to the square of the voltage across the resistor. The resistor must dissipate  watt of power when the voltage across the resistor is 7 volts. Find the power that the resistor must dissipate when the voltage across it is 21 volts.

A.  watt
B.  watt
C.  watt
D.  watts

Mathematics

Express the following in interval notation.x ? 5

A. (-?, 5] B. (-?, 5) C. (5, ?) D. [5, ?)

Mathematics

Solve the problem.The path of a projectile fired at an inclination ? (in degrees) to the horizontal with an initial speed v0 is a parabola. The maximum height H of the projectile is given by H =  (1 - cos (2?))where g is the acceleration due to gravity.Show that the maximum height H can be written H =  

What will be an ideal response?

Mathematics

Solve the problem.Paul has $20,000 to invest. He puts x dollars in a safe government-insured certificate of deposit paying 5% per year. He invests the remainder of the money in noninsured corporate bonds paying 12% per year. His total interest earned at the end of the year is given by the algebraic expression  Determine the amount of interest earned at the end of the year if he invests $6000 in the government-insured certificate of deposit.

A. $1782 B. $1980 C. $2820 D. $3420

Mathematics