Find the slope of the polar curve at the indicated point.r = 
, ? = 3?
A. 3?
B. 0
C. -3?
D. Undefined
Answer: C
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Factor completely.9x2 - 39x - 30
A. prime B. (9x + 6)(x - 5) C. 3(3x + 2)(x - 5) D. 3(3x - 2)(x + 5)
Solve.?x? = 6
A. -6 B. -6, 6 C. 6 D. 36
Verify the identity.(sec ? - tan ?)(sec ? + tan ?) = 1
What will be an ideal response?
A small manufacturing plant produces three kinds of bicycles-three-speed, five-speed and ten-speed-in two factories. Factory A produces 16 three-speeds, 12 five-speeds and 30 ten-speeds in one day, while factory B produces 15 three-speeds, 18 five-speeds and 20 ten-speeds in one day. An order is received for 30 three-speeds, 40 five-speeds, and 50 ten-speeds. It costs $1200 a day to operate factory A and $3000 a day to operate factory B. The manufacturer chooses the number of days to operate each factory in order to minimize cost.In the situation above, which of the following inequalities must be satisfied?
A. 16x + 15y ? 30 B. 30x + 20y ? 50 C. x + y ? 120 D. x + y + z ? 120 E. none of these