Provide an appropriate response.Which of the following statements is false?I. For a function f(x), the Taylor polynomial approximation can always be improved by increasing the degree of the polynomial.II. Of all polynomials of degree less than or equal to n, the Taylor polynomial of order n gives the best approximation of f(x).III. The Taylor series at x = a can be obtained by substituting x - a for x in the corresponding Maclaurin series.
A. I, II, and III
B. I and III
C. I and II
D. III only
Answer: B
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Compare the right-hand and left-hand derivatives to determine whether or not the function is differentiable at the point whose coordinates are given.
? y = x2 y = 
A. Since limx?1+ f '(x) = 2 while limx?1- f '(x) = 
, f(x) is not differentiable at 
B. Since limx?1+ f '(x) = 
while limx?1- f '(x) = 2, f(x) is not differentiable at 
C. Since limx?1+ f '(x) = 
while limx?1- f '(x) = 1, f(x) is not differentiable at 
D. Since limx?1+ f '(x) = 2 while limx?1- f '(x) = 2, f(x) is differentiable at 
Find the derivative.y = 
+x4e
A. 
x-1/5 + 4x4e-1
B. 
x1/5 + 4x4e-1
C. 
x1/5 + 4ex4e-1
D. 
x-1/5 + 4ex4e-1
Solve the problem.The following prices per pound of ocean perch were found at seven supermarkets: $6.59, $7.49, $7.39, $7.59, 
$7.29, $6.39What is the mode?
A. $7.39 B. $7.29 C. $7.59 D. $6.59
Convert. When necessary, round the answer to two decimal places.600 minutes = hours
A. 240 B. 25 C. 10 D. 5