Find an equation of the tangent line at each given point on the curve. x = t2 − 4, y = t2 − 2t

11/28/2017 Section 10.3

http://www.webassign.net/web/Student/Assignment­Responses/last?dep=17350900 2/4

3. –/2 pointsLarCalc10 10.3.012.

Find and find the slope and concavity (if possible) at the given value of the parameter. (If an answer does not exist, enter DNE.)

Parametric Equations Point

t = 2

concavity: ­­­Select­­­

4. 2/2 points | Previous AnswersLarCalc10 10.3.017.

Find an equation of the tangent line at each given point on the curve.

dy/dx and d2y/dx2,

x = , y = t t − 1

= √t√t−1

=

slope

dy dx

d2y dx2

x = t2 − 4, y = t2 − 2t

at (0, 0) y=x2

at (−3, −1) y=−1

at (−3, 3) y=2x+9

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11/28/2017 Section 9.10

http://www.webassign.net/web/Student/Assignment­Responses/last?dep=17360234 2/2

4. 2/3 points | Previous AnswersLarCalc10 9.10.063.

Use a power series to approximate the value of the integral with an error of less than 0.0001. (Round your answer to four decimal places.)

(−1)n(8n+1)n!

= 0.9127

5. 0/1 points | Previous AnswersLarCalc10 9.10.007.

Use the definition of Taylor series to find the Taylor series (centered at c) for the function.

e−x8 dx 1

0

≈ e−x8 dx 1

0

7 Use the fewest number of terms.

n = 0

f(x) = ln(x), c = 1

f(x) =

(−1)n+1(x−1)nn

∞

n = 0

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11/28/2017 Section 9.8

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9. 0/2 points | Previous AnswersLarCalc10 9.8.038.

Find the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interval. Enter your answer using interval notation.)

(0,2c)

2 ≤ x ≤ 4

x = 3

2 ≤ x < 4

2 < x ≤ 3

−∞ < x < ∞

∞

n = 1

(−1)n + 1(x − c)n

ncn

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