Provide an appropriate response.True or False: If a polynomial in x of degree 8 is divided by a monomial in x of degree 4, the degree of the quotient is 4.
A. False
B. Not enough information
C. True
Answer: C
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Find the Taylor polynomial of order 3 generated by f at a.f(x) = ln x, a = 3
A. P3(x) = 
- 
+ 
- 
B. P3(x) = 
+ 
+ 
+ 
C. P3(x) = ln 3 + 
- 
+ 
D. P3(x) = ln 3 - 
+ 
- 
Find the first four nonzero terms in the Maclaurin series for the function.f(x) = x sin(4x)
A. 4x - 
x4 + 
x6 - 
x8 + . . .
B. 4x2 - 
x4 + 
x6 - 
x8 + . . .
C. 4x - 8x3 + 
x5 - 
x7 + . . .
D. 4x2 + 
x4 + 
x6 + 
x8 + . . .
Use the trapezoidal rule and Simpson's rule to approximate the value of the definite integral. Compare your result with the exact value of the integral. Please give the answer to four decimal places.
?
?
Trapezoidal rule:__________
?
Simpson's rule: __________
?
Exact value: __________
What will be an ideal response?
Find the reciprocal of the number.14
A. 14
B. 
C. 
D. 1