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
Answer: A
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Use the substitution formula to evaluate the integral.
A. 9
B. 4
C.
D. 12
Determine the degree of each term of the polynomial.8x4 + 6w3 - 6w - 5y5 - 4
A. 8x4: degree 32; 6w3: degree 18; -6w: degree 1; -5y5: degree -25;
B. 8x4: degree 4; 6w3: degree 3; -6w: degree 1; -5y5: degree 5;
C. 8x4: degree 4; 6w3: degree 3; -6w: degree 1; -5y5: degree 5;
D. 8x4: degree 8; 6w3: degree 6; -6w: degree -6; -5y5: degree -5;
Solve the problem.Find three consecutive integers such that the sum of the squares of the smaller two is equal to the square of the largest.
A. -1, 0, 1 or 3, 4, 5 B. -1, 0, 1 C. -3, -4, -5 D. 3, 4, 5
Answer the question.Find a, b, and c so that the graph of the equation y = ax2 + bx + c passes through the points
and
A. y = -5x2 - 3x + 5 B. y = -5x2 + 3x - 5 C. y = 5x2 - 3x - 5 D. y = -5x2 - 3x - 5