Find all local extreme values of the given function and identify each as a local maximum, local minimum, or saddle point.
A. (-6, -2); saddle point
B. (-6, 2); local maximum
C. (6, 2); saddle point
D. (6, -2); local minimum
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 = src="https://sciemce.com/media/4/ppg__as0611191936__f1q230g5.jpg" style="vertical-align: -17.0px;" /> 
. Use the equation
= 
+ 
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
Factor the polynomial completely.36 - (x + 5y)2
A. (6 + 5xy)(6 - 5xy) B. (6 + x + y)(6 - x - y) C. (6 + x - 5y)(6 - x - 5y) D. (6 + x + 5y)(6 - x - 5y)
Solve the triangle. Approximate values to the nearest tenth when appropriate. ? = 63.5° a = 12.20 c = 7.80
A. b = 13.2, ? = 73.1°, ? = 37.4° B. b = 11.2, ? = 77.8°, ? = 38.7° C. No solution D. b = 12.2, ? = 75.1°, ? = 41.4°
Use simple probability to complete the exercises.Use the spinner below to answer the question. Assume that it is equally probable that the pointer will land on any one of the five numbered spaces. If the pointer lands on a borderline, spin again. Find the probability that the arrow will land on an odd number. 
A. 0
B. 1
C. 
D. 