31.4. Evaluate the following integrals: (a). ₂ (z − 1)² (z + 2)d -dz, where y: |z| = 3, (b)., (2-2)(z-1-1) -dz, where y: 2| = 1.5, 23 (c). I dz -2, y = 2, where is the rectangle defined by a = -0.5, x = 2, y =
31.4. Evaluate the following integrals: (a). ₂ (z − 1)² (z + 2)d -dz, where y: |z| = 3, (b)., (2-2)(z-1-1) -dz, where y: 2| = 1.5, 23 (c). I dz -2, y = 2, where is the rectangle defined by a = -0.5, x = 2, y =
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.3: Implicit Differentiation
Problem 44E
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Please I need the solution in paper for a question 31.4and 31.5
Transcribed Image Text:31.4. Evaluate the following integrals:
(a). ₂ (z − 1)² (z + 2)° dz, where y: |z| = 3,
(b). √₁₂ (2-2
(z-2)(z-1-i)
dz
24-12
(c). L
-2, y = 2,
-dz, where y: |z| = 1.5,
where is the rectangle defined by x = -0.5, x=2, y =
(d). ₁ (2² − 1)²(2² +15 dz, where y : |z − 1| = √3,
1)
(e). L
[cos (1
cos(1/2²) e¹/dz, where y: |z| = 1,
(f). It tanz, where y: |z| = 2.
31.5. Let y be the circle |z+1| = 2 traversed twice in the clockwise
dz
direction. Evaluate
L. ₁
(z² + 2)²
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