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Math
Calculus
Calculus, Early Transcendentals
Chapter 8.1, Problem 36E
Chapter 8.1, Problem 36E
BUY
Calculus, Early Transcendentals
9th Edition
ISBN:
9781337613927
Author: Stewart
Publisher:
CENGAGE L
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1 Functions And Models
2 Limits And Derivatives
3 Differentiation Rules
4 Applications Of Differentiation
5 Integrals
6 Applications Of Integration
7 Techniques Of Integration
8 Further Applications Of Integration
9 Differential Equations
10 Parametric Equations And Polar Coordinates
11 Sequences, Series, And Power Series
12 Vectors And The Geometry Of Space
13 Vector Functions
14 Partial Derivatives
15 Multiple Integrals
16 Vector Calculus
A Numbers, Inequalities, And Absolute Values
B Coordinate Geometry And Lines
C Graphs Of Second-degree Equations
D Trigonometry
E Sigma Notation
F Proofs Of Theorems
G The Logarithm Defined As An Integral
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8.1 Arc Length
8.2 Area Of A Surface Of Revolution
8.3 Applications To Physics And Engineering
8.4 Applications To Economics And Biology
8.5 Probability
Chapter Questions
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Problem 1E: Use the arc length formula (3) to find the length of the curve y=32x,1x3 . Check your answer by...
Problem 2E: Use the arc length formula to find the length of the curve y=4x2,0x2 . Check your answer by noting...
Problem 3E: Set up, but do not evaluate, an integral for the length of the curve. 3. y=x3,0x2
Problem 4E: Set up, but do not evaluate, an integral for the length of the curve. 4. y=ex,1x3
Problem 5E: Set up, but do not evaluate, an integral for the length of the curve. 5. y=xlnx,1x4
Problem 6E: Set up, but do not evaluate, an integral for the length of the curve. 6. x=y2+y,0y3
Problem 7E: Set up, but do not evaluate, an integral for the length of the curve. 7. x=siny,0y/2
Problem 8E: Set up, but do not evaluate, an integral for the length of the curve. 8. y2=lnx,1y1
Problem 9E: Find the exact length of the curve. 9. y=23x3/2,0x2
Problem 10E: Find the exact length of the curve. 10. y=(x+4)3/2,0x4
Problem 11E: Find the exact length of the curve. 11. y=231+x23/2,0x1 .
Problem 12E: Find the exact length of the curve. 10. 36y2 = (x2 4)3, 2 x 3, y 0
Problem 13E: Find the exact length of the curve. 11. y=x33+14x,1x2
Problem 14E: Find the exact length of the curve. 12. x=y48+14y2,1y2
Problem 15E: Find the exact length of the curve. 15. y=12lnsin2x,/8x/6
Problem 16E: Find the exact length of the curve. 14. y = ln(cos x), 0 x /3
Problem 17E: Find the exact length of the curve. 15. y = ln(sec x), 0 x /4
Problem 18E
Problem 19E: Find the exact length of the curve. 19. x=13y(y3),1y9
Problem 20E: Find the exact length of the curve. 16. y=3+12cosh2x,0x1
Problem 21E: Find the exact length of the curve. 17. y=14x212lnx,1x2
Problem 22E: Find the exact length of the curve. 18. y=xx2+sin1(x)
Problem 23E: Find the exact length of the curve. 19. y=ln(1x2),0x12
Problem 24E: Find the exact length of the curve. 20. y = 1 ex, 0 x 2
Problem 25E: Find the length of the arc of the curve from point P to point Q. 21. y=12x2, P(1,12), Q(1,12)
Problem 26E: Find the length of the arc of the curve from point P to point Q. 22. x2 = (y 4)3, P(1, 5), Q(8, 8)
Problem 27E: Graph the curve and visually estimate its length. Then use your calculator to find the length...
Problem 28E: Graph the curve and visually estimate its length. Then use your calculator to find the length...
Problem 29E: Graph the curve and visually estimate its length. Then compute the length, correct to four decimal...
Problem 30E: Graph the curve and visually estimate its length. Then compute the length, correct to four decimal...
Problem 31E: Graph the curve and visually estimate its length. Then compute the length, correct to four decimal...
Problem 32E: Graph the curve and visually estimate its length. Then compute the length, correct to four decimal...
Problem 33E: Use Simpsons Rule with n = 10 to estimate the arc length of the curve. Compare your answer with the...
Problem 34E: Use Simpsons Rule with n = 10 to estimate the arc length of the curve. Compare your answer with the...
Problem 35E
Problem 36E
Problem 37E
Problem 38E: Use either a computer or a table of integrals to find the exact length of the arc of the curve...
Problem 39E
Problem 40E: (a) Sketch the curve y3 = x2. (b) Use Formulas 3 and 4 to set up two integrals for the arc length...
Problem 41E: Find the arc length function for the curve y = 2x3/2 with starting point P0(1, 2).
Problem 42E: (a) Find the arc length function for the curve y = ln(sin x), 0 x , with starting point (/2, 0)....
Problem 43E: Find the arc length function for the curve y=sin1x+1x2 with starting point (0, 1).
Problem 44E: The arc length function for a curve y = f(x), where f is an increasing function, is s(x)=0x3t+5dt....
Problem 45E
Problem 46E: A steady wind blows a kite due west. The kites height above ground from horizontal position x = 0 to...
Problem 47E
Problem 48E
Problem 49E
Problem 50E
Problem 51E
Problem 52E
Problem 53E
Problem 1DP: The curves shown are all examples of graphs of continuous functions f that have the following...
Problem 2DP
Problem 3DP
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