Determine the integral by making an appropriate substitution.

A. 9(cos x)9 + C
B. -9(cos x)9 + C
C. - (cos x)9 + C
D. (cos x)9 + C


Answer: C

Mathematics

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Solve the problem.A simple electrical circuit consists of a resistor connected between the terminals of a battery. The voltage V (in volts) is dropping as the battery wears out. At the same time, the resistance R (in ohms) is increasing as the resistor heats up. The power P (in watts) dissipated by the circuit is given by P =  . Use the equation =   + 

src="https://sciemce.com/media/4/ppg__10615191621__f1q4g5.jpg" style="vertical-align: -17.0px;" /> to find how much the power is changing at the instant when R = 4 ohms, V = 3 volts,  and dV/dt = -0.08 volts/sec.

A. -0.15 watts
B. 0.15 watts
C. -0.09 watts
D. 0.09 watts

Mathematics

Find the perimeter of the polygon.

A. 14 ft B. 28 ft C. 35 ft D. 21 ft

Mathematics

Solve the problem.The owners of a candy store want to sell, for $6 per pound, a mixture of chocolate-covered raisins, which usually sells for $3 per pound, and chocolate-covered macadamia nuts, which usually sells for $8 per pound. They have a  barrel of the raisins. How many pounds of the nuts should they mix with the barrel of raisins so that they hit their target value of $6 per pound for the mixture?

A. 80 lb B. 75 lb C. 70 lb D. 65 lb

Mathematics

Simplify the expression.

A.
B.  
C.  
D.  

Mathematics