Find the indicated series by the given operation.Find the first four nonzero terms of the expansion of the function
by adding the terms of the appropriate series. The result is the series for cosh x.
A. x + x2 +
x3 +
x5 + . . .
B. 1 + x2 +
x4 +
x6 + . . .
C. x + x2 +
x4 +
x6 + . . .
D. 1 + x2 +
x3 +
x4 + . . .
Answer: B
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Provide an appropriate response.
Another student investigated a four-sided figure that looked like a parallelogram, but one pair of opposite sides was not parallel. She tried a different construction than the triangle in an attempt to create a parallelogram. She found that by flipping a copy of the original figure she made a large parallelogram. Which conclusion will correctly determine the area of the original shape?
A. The area of the original figure can be found by taking twice the sum of the top and bottom and multiplying the result by the height of the original figure. B. The area of the original figure can be found by taking the sum of the top and bottom and multiplying the result by the height of the original figure. C. The area of the original figure cannot be determined with this analysis. D. The area of the original figure can be found by taking half the sum of the top and bottom and multiplying the result by the height of the original figure.
Solve the problem.The Acme Class Ring Company designs and sells two types of rings: the VIP and the SST. They can produce up to 24 rings each day using up to 60 total man-hours of labor. It takes 3 man-hours to make one VIP ring and 2 man-hours to make one SST ring. How many of each type of ring should be made daily to maximize the company's profit, if the profit on a VIP ring is $30 and on an SST ring is $40?
A. 12 VIP and 12 SST B. 0 VIP and 24 SST C. 16 VIP and 8 SST D. 8 VIP and 16 SST
Write the partial fraction decomposition of the rational expression.
A. +
B. +
C. +
D. +
Solve the problem.pH = -log10[H+] Find the [H+] if the pH = 5.4.
A. 2.51 x 10-6 B. 3.98 x 10-6 C. 2.51 x 10-5 D. 3.98 x 10-5