Find the following quotient, and write the quotient in rectangular form, using exact values.
A. +
i
B. -1 + i
C. 1 + i
D. - +
i
Answer: D
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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__10612191704__f1q94g5.jpg" style="vertical-align: -17.0px;" /> to find how much the power is changing at the instant when R = 4 ohms, V = 4 volts,
and dV/dt = -0.08 volts/sec.
A. 3.84 watts
B. 4.16 watts
C. -4.16 watts
D. -3.84 watts
Use the graph of a known basic function and a combination of horizontal and vertical shifts to sketch the function.k(x) = + 2
A.
B.
C.
D.
Give the equation of the vertical asymptote(s) of the rational function.f(x) =
A. y = 3
B. x =
C. x = -
D. x = 8
Solve the problem.The paired data below consist of the temperatures on randomly chosen days and the amount a certain kind of plant grew (in millimeters). Use the equation of the least squares line to predict the growth of a plant if the temperature is 79.
A. 31.27 mm B. 32.53 mm C. 29.61 mm D. 31.90 mm