Use a calculator to approximate the length of the following curve. Simplify the arc length integral as much as possible before finding an approximation. rt)-(31², 10²° 16) for 0 £25.4 = Write the arc length integral and simplify as much as possible. Choose the correct answer below. OA. L=2 (²+10) dt 0 L=2) 1√/1² 0 O B. L= OC. L=J 0 4 + 100 dt + 104 dt *** OD. L= √√42 (2+ 100) dt 0 The length of the curve is approximately (Round to two decimal places as needed.) units.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 73E
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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.
720) = (3-1², 107² (16)
r(t)=
10t²,16), for 0 st≤4
Write the arc length integral and simplify as much as possible. Choose the
correct answer below.
L=2] (² +
OA. L-2 (+10) dt
0
L=2$ ₁√/1² +
0
OB. L=
+ 100 dt
Ive
4
OC. L=J + 104 dt
0
***
OD. L√4² (+100) dt
0
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. 720) = (3-1², 107² (16) r(t)= 10t²,16), for 0 st≤4 Write the arc length integral and simplify as much as possible. Choose the correct answer below. L=2] (² + OA. L-2 (+10) dt 0 L=2$ ₁√/1² + 0 OB. L= + 100 dt Ive 4 OC. L=J + 104 dt 0 *** OD. L√4² (+100) dt 0 The length of the curve is approximately (Round to two decimal places as needed.) units.
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