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Q1 (999 points) Let r(t) = e² (1, sint, cost) and let a = In 2. (A) (20%) Calculate, to four significant figures, the straight-line distance S₁ from r(0) to r(a). (B) (20%) Calculate, to four significant figures, the sum S2 of the two straight-line distances from r(0) to r(a/2) and from r(a/2) to r(a). (C) (60%) As discussed in class, S1 and S2 are approximations to the arclength of r(t) from t = 0 tot = a. Calculate, for each of (A) and (B), the percent errors (the absolute value of the actual arc length minus the approximation, divided by the actual, times 100).

Q1 (999 points) Let r(t) = e² (1, sint, cost) and let a = In 2. (A) (20%) Calculate, to four significant figures, the straight-line distance S₁ from r(0) to r(a). (B) (20%) Calculate, to four significant figures, the sum S2 of the two straight-line distances from r(0) to r(a/2) and from r(a/2) to r(a). (C) (60%) As discussed in class, S1 and S2 are approximations to the arclength of r(t) from t = 0 tot = a. Calculate, for each of (A) and (B), the percent errors (the absolute value of the actual arc length minus the approximation, divided by the actual, times 100).

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
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Q1 (999 points) Let r(t) = e² (1, sint, cost) and let a = In 2. (A) (20%) Calculate, to four significant figures, the straight-line distance S₁ from r(0) to r(a). (B) (20%) Calculate, to four significant figures, the sum S2 of the two straight-line distances from r(0) to r(a/2) and from r(a/2) to r(a). (C) (60%) As discussed in class, S1 and S2 are approximations to the arclength of r(t) from t = 0 tot = a. Calculate, for each of (A) and (B), the percent errors (the absolute value of the actual arc length minus the approximation, divided by the actual, times 100).
Transcribed Image Text:Q1 (999 points) Let r(t) = e² (1, sint, cost) and let a = In 2. (A) (20%) Calculate, to four significant figures, the straight-line distance S₁ from r(0) to r(a). (B) (20%) Calculate, to four significant figures, the sum S2 of the two straight-line distances from r(0) to r(a/2) and from r(a/2) to r(a). (C) (60%) As discussed in class, S1 and S2 are approximations to the arclength of r(t) from t = 0 tot = a. Calculate, for each of (A) and (B), the percent errors (the absolute value of the actual arc length minus the approximation, divided by the actual, times 100).
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