Use power series operations to find the Taylor series at x = 0 for the given function.f(x) = 
A. 
B. 
C. 
D. 
Answer: D
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Find the probability.A family has five children. The probability of having a girl is 1/2. What is the probability of having 2 girls followed by 3 boys? Round to the nearest ten-thousandth.
A. 0.6252 B. 0.3125 C. 0.0313 D. 0.1875
Find the area of the region specified in polar coordinates.The smaller loop of the curve r = 4 + 8 sin ?
A. 4(2? - 3
)
B. 8(2? + 3
)
C. 8(2? - 3
)
D. 4(2? + 3
)
Evaluate the expression for the given replacement values.xy for x = 5, y = -1.6
A. -80 B. 8 C. 80 D. -8
Find the expected value.Mr. Cameron is sponsoring an summer concert. He estimates that he will make $300,000 if it does not rain and make $60,000 if it does rain. The weather bureau predicts the chance of rain is 0.34 for the day of the concert. An insurance company is willing to insure the concert for $150,000 against rain for a premium of $30,000. If he buys this policy, what are his expected earnings from the concert?
A. $180,000 B. $300,000 C. $270,000 D. $239,400