Taylor Polynomial
Quiz
•
Mathematics
•
12th Grade
•
Practice Problem
•
Hard
Standards-aligned
Anthony Clark
FREE Resource
14 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The answer in third-degree Taylor polynomial for f(x)=ln x, centered at a = 2 is ln(2) + ½(x+2) – 1/8(x-2)2 + 1/24(x-2)3.
true
false
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the second derivative for finding the nth Taylor polynomial of y= In x at x=1?
-2
2
-1
1
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which of the following gives the Taylor polynomial of order three of the function f(x) = sin x at a = π/2?
a.) 1- (x- π/2) ²/ 2!
b.) –(x-π/2) + (x-π/2) ³/3!
c.) (x-π/2) -(x-π/2) ³
d.) (x+π/2) + (x-π/2) ²
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
17. Write out the general formula for the fourth degree Taylor Polynomial of a function f (x) at a. The following is the fourth-order Taylor Polynomial of a function f(x) at a =3. What is f(²) (3)?
a.) 5
b.) 6π
c.) 20
d.) 3
Tags
CCSS.HSF.LE.A.2
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The following is the fifth order Taylor Polynomial of the function f(x) at a T5(x) = 2-2(x-a) +√5(x-a) ²-π/2(x-a) ³+(x-a) ⁴+13(x-a) ⁵. What is f(³)(a)?
a.) 2√5
b.) -3π
c.) -π/2
d.) √5
Tags
CCSS.HSF.LE.A.2
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which of the following is the third Taylor Polynomial of the function f(x) = sin (x/2) centered at a = π?
(x-π) – (x-π) ³/3!
1- (x-π/2) ²/4(2!)
1- x²/4(2!)
1- (x-π) ²/4(2!)
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The following is the fourth order Taylor Polynomial of the function f(x) at a. T4(x) = 10+5(x-a) + √3(x a) ² + 1/2π(x-a) ³ + 17e(x-a) ⁴. What is f’’’(a)?
a.) 3/π
b.) 2√3
c.) 17e
d.) 1/2π
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