Find the nth-degree Taylor polynomial at 0. Write the answer in expanded notation.f(x) = 

A. 1 - 2x + 4x2 - 8x3 + ... + (-2)nxn
B. 1 - 2x + 4x2 - 8x3 + ... + 2nxn
C. 1 + 2x + 4x2 + 8x3 + ... + 2nxn
D. 1 - 2x + 4x2 - 8x3 + ... + (-2n)xn


Answer: A

Mathematics

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Let  and compute the Riemann sum of f over the interval , choosing the representative points to be the left endpoints of the subintervals, using:

?
Two subintervals of equal length .
?
__________ sq units
?
Five subintervals of equal length .
?
__________ sq units
?
Ten subintervals of equal length .
?
__________ sq units
?
Can you guess at the area of the region under the graph of f on the interval ?
?
? __________ sq units

What will be an ideal response?

Mathematics

Solve the problem.The temperature one day was reported to be -24°F. The next day, it was reported to be 27°F. By how many degrees did the temperature rise?

A. 51°F B. 3°F C. -3°F D. -51°F

Mathematics

Identify the missing terms of the polynomial.-4x2 + 3x3 + 4x4 + 3

A. 0x B. 0x2 C. 0x0 D. 9

Mathematics

Solve the problem.The distance, s, in feet, traveled by a body falling freely from rest in t seconds is approximated by the function  An experimenter on a ladder releases a marble from rest. The marble takes 5 seconds to fall to the ground. How high was the marble when it was released?

A. 6400 feet B. 25 feet C. 400 feet D. 80 feet

Mathematics