5. (x²y + sin æ) dy, Cis the arc of the parabola y = r² from (0, 0) to (7, n²)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Please complete problem 5 and show work :)

1, 2, 3, 4, 5, 6, Z and 8 Evaluate the line integral, where C is the given plane curve.
1.
y ds, C: a = t², y = 2t, 0 < t < 3
Answer +
| (2/y) ds, C: a = t³, y = t*, 1< t < 2
2.
3.
| ayt ds, Cis the right half of the circle 22 + y? = 16
Answer +
4.
æe" ds, Cis the line segment from (2, 0) to (5, 4)
5.
| (2'y+ sin x) dy, Cis the arc of the parabola y = a² from (0, 0) to (7, 7²)
Answer +
6.
e da, Cis the arc of the curve x = y° from (–1, –1) to (1, 1)
7.
| (x + 2y) dx + æ² dy
7.
7.
Transcribed Image Text:1, 2, 3, 4, 5, 6, Z and 8 Evaluate the line integral, where C is the given plane curve. 1. y ds, C: a = t², y = 2t, 0 < t < 3 Answer + | (2/y) ds, C: a = t³, y = t*, 1< t < 2 2. 3. | ayt ds, Cis the right half of the circle 22 + y? = 16 Answer + 4. æe" ds, Cis the line segment from (2, 0) to (5, 4) 5. | (2'y+ sin x) dy, Cis the arc of the parabola y = a² from (0, 0) to (7, 7²) Answer + 6. e da, Cis the arc of the curve x = y° from (–1, –1) to (1, 1) 7. | (x + 2y) dx + æ² dy 7. 7.
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