Find the first three nonzero terms of the Taylor expansion for the given function and value of a.
(a = 1)
A. 1 + (x - 1) - (x - 1)2 + ...
B. 1 - (x - 1) + (x - 1)2 - ...
C. 1 - (x - 1) + 
(x - 1)2 - ...
D. 1 + (x - 1) - 
(x - 1)2 + ...
Answer: B
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Divide the monomials.
A. 18k2 B. 18 C. 4k D. 4k2
Solve.The time it takes a satellite to complete an orbit around the earth varies directly as the radius of the orbit (from the center of the earth) and inversely as the orbital velocity. If a satellite completes an orbit 
above the surface of the earth in 
at a velocity of 
then how long would it take a satellite to complete an orbit 
/> above the surface of the earth at a velocity of 
(Use 
as the radius of the earth, and round your answer to the nearest hundredth, if necessary.)
A. 187.94 hours
B. 18.79 hours
C. 4.91 hours
D. 36.26 hours
Solve the problem.If u = < -5, 7 > and v = < -3, 6 >, and w = < -11, 2 >; evaluate u ? (v - w).
A. -8 B. 15 C. -17 D. -12
Find a function f(x) with the following property: f'(x) = x6 + 
- x3 + 
x2, f(0) = e.
A. f(x) = 
+ 
- 
+ 
x3 + e
B. f(x) = 
+ 
- 
+ 
x3 + ex
C. f(x) = 6x7 + 
x5 - 3x4 + 
x3
D. f(x) = 7e7 + 
e5 - 4e4 + 5e3