Find the relative maxima and relative minima, if any, of the function.
?
?
A. No relative minima; Relative maximum 
B. Relative maximum: 
; Relative minimum 
C. Relative minimum: 
; No relative maxima
D. No relative maxima or minima
Answer: C
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On a certain island chain, the number of species present S is related to the area of the island. The relationship is given by
,
where A is the area of the island measured in square miles. Which one of the following island areas will have 16 species present (rounded to the nearest whole number)?
A. 16 square miles B. 29,020 square miles C. 21 square miles D. 29,263 square miles
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
Express the number in scientific notation.0.000399
A. 3.99 x 10-5 B. 3.99 x 104 C. 3.99 x 10-4 D. 3.99 x 10-3
Divide numerator and denominator by the highest power of x in the denominator to find the limit.
A. ? B. 49 C. 0 D. 7