Write the sum or difference as a product containing only sines and/or cosines.sin(6?) - sin(4?)
A. -2 sin ? cos(5?)
B. 2 sin(5?) cos ?
C. 2 sin ? cos(5?)
D. -2 sin(5?) cos ?
Answer: C
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Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false.
?
If 
gives rise to a (constrained) relative extremum of 
subject to the constraint 
, then , 
and 
, simultaneously.
?
A. Let 
and 
, then the point 
gives rise to a (constrained) relative extremum(minimum), 
and 
, so the statement is false.
B. Let 
and 
, then the point 
gives rise to a (constrained) relative extremum(minimum), 
and 
, so the statement is true.
Provide an appropriate response.Use the equation (Dividend) = (Divisor)(Quotient) + (Remainder) to complete the following. 
= x3 - 5x2 + 25x - 125 + 
implies x4 - 628 = (x + 5) x 
+ 
.
A. x3 - 5x2 + 25x - 125; 5
B. x3 - 5x2 + 25x - 125; 3
C. x3 - 5x2 + 25x - 125; 
D. x3 - 5x2 + 25x - 125; x + 5
If the probability of success on each trial of an experiment is 0.6, what is the probability of 9 successes in 10 independent trials? Round your answer to four decimal places. ?
A. Pr(9 Successes) = 0.0202 B. Pr(9 Successes) = 0.010077696 C. Pr(9 Successes) = 0.0806 D. Pr(9 Successes) = 0.0403 E. Pr(9 Successes) = 0.1612
Multiply.0.09 × 0.8
A. 0.72 B. 7.2 C. 0.0072 D. 0.072