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__as0611191936__f1q230g5.jpg" style="vertical-align: -17.0px;" /> to find how much the power is changing at the instant when R = 2 ohms, V = 2 volts,  and dV/dt = -0.02 volts/sec.



A. -0.09 watts

B. -0.01 watts

C. 0.01 watts

D. 0.09 watts

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Answer: A

Mathematics

Solve the initial value problem for y as a function of x.x   = 1, x > 8, y(16) = 0

A. y =  sec^-1 
B. y =  sin^-1  + 
C. y = sec^-1  - 
D. y =  sec^-1  - 

Find the distance d(P1, P2) between the points P1and P2.P1 = (-6, -4); P2 = (6, 4)

A. 4
B. 80
C. 4 
D. 80 

Find the zeros of the polynomial function and state the multiplicity of each.f(x) = x3 + 5x2 - x - 5

A. -5, multiplicity 2; 1, multiplicity 1 B. -1, multiplicity 1; 1, multiplicity 1; 5, multiplicity 1 C. -5, multiplicity 1; -1, multiplicity 2 D. -5, multiplicity 1; -1, multiplicity 1; 1, multiplicity 1

If a triangle has vertices of   and  then the area of the triangle is given by    Find the area of the triangle with vertices at the given points.(-4, -4) (1, 4) (4, 2)

A. 34 B. 52 C. 26 D. 17