Use a calculator to approximate the length of the following curve. Simplify the arc length integral as much as possible before finding an approximation. r(t) = (6 cos t, 12 sin t), for 0sts 2n Write the arc length integral and simplify as much as possible. Choose the correct answer below. 2x A. L-6 1+3 cos ?t dt 2n O B. L=18 (sint+ cos t) dt 2n OC. L=18 cost dt 2x O D. L=36 sin 2++ 144 cos ?t dt The length of the curve is approximately (Round to two decimal places as needed.) units.

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Conic Sections
Section8.2: More Parabolas And Some Circles
Problem 63.1PS
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Use a calculator to approximate the length of the following curve. Simplify the arc length integral as much as possible before finding an approximation.
r(t) = (6 cost, 12 sin t), for 0sts 2n
Write the arc length integral and simplify as much as possible. Choose the correct answer below.
A. L=6
Vi+3 cos t t
O B. L= 18 (sint+ cos t) dt
2л
O C. L= 18
cost dt
2x
O D. L=
36 sin ?t+ 144 cos?t dt
The length of the curve is approximately
(Round to two decimal places as needed.)
units.
Transcribed Image Text:Use a calculator to approximate the length of the following curve. Simplify the arc length integral as much as possible before finding an approximation. r(t) = (6 cost, 12 sin t), for 0sts 2n Write the arc length integral and simplify as much as possible. Choose the correct answer below. A. L=6 Vi+3 cos t t O B. L= 18 (sint+ cos t) dt 2л O C. L= 18 cost dt 2x O D. L= 36 sin ?t+ 144 cos?t dt The length of the curve is approximately (Round to two decimal places as needed.) units.
Use a calculator to approximate the length of the following curve. Simplify the arc length integral as much as possible before finding an approximation.
r(t) =
10t?,
for 0 sts4
Write the arc length integral and simplify as much as possible. Choose the correct answer below.
O A. L= V4? (? + 100) dt
B. L=2
+ 100 dt
4
O C. L= Vt + 104 dt
4
O D. L=2 (P+ 10) dt
The length of the curve is approximately
(Round to two decimal places as needed.)
units.
Transcribed Image Text:Use a calculator to approximate the length of the following curve. Simplify the arc length integral as much as possible before finding an approximation. r(t) = 10t?, for 0 sts4 Write the arc length integral and simplify as much as possible. Choose the correct answer below. O A. L= V4? (? + 100) dt B. L=2 + 100 dt 4 O C. L= Vt + 104 dt 4 O D. L=2 (P+ 10) dt The length of the curve is approximately (Round to two decimal places as needed.) units.
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9781285195728
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