Find the Taylor series of the function at the indicated point. Give the interval of convergence for the series.
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What will be an ideal response?
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Find the surface area of the surface S.S is the portion of the paraboloid z = 16 - x2 - y2 that lies above the ring 1 ? x2 + y2 ? 4 in the
A. [17
- 5
]
B. [17
- 5
]
C. [17
- 5
]
D. [17
- 5
]
Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves and lines about the y-axis.y = 9x, y = - , x = 1
A. ?
B. ?
C. ?
D. 82?
Solve.The length of a wrench is inversely proportional to the amount of force needed to loosen a bold. A wrench 8 inches long requires a force of 220 lb to loosen a rusty bolt. How much force would be required to loosen the same bolt using a 6-inch wrench? (Round to the nearest whole number, if necessary.)
A. 303 lb B. 293 lb C. 241 lb D. 276 lb
Write a formula for the nth term of the arithmetic sequence. Use the formula to find the 20th term of the sequence.-1, 1, 3, 5, 7, . . .
A. an = n + 2; a20 = 22 B. an = 3n - 2; a20 = 58 C. an = 2n - 3; a20 = 37 D. an = 2n + 3; a20 = 43