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(3) Evaluate the line integral of the first type fez2 ds, where C: x = cost y = sint where 0 ≤ t ≤ 1. 1

(3) Evaluate the line integral of the first type fez2 ds, where C: x = cost y = sint where 0 ≤ t ≤ 1. 1

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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4 Computation Please solve the following questions with details. (1) Evaluate the double integral ff. (r² + y²) do, where o is the region bounded by the line x = 1, y = 0 and the parabola y = x². (2) Evaluate the triple integral ffy z dV, where (V) is the hemisphere above the rOy plane with radius 1 and center at origin O. x = cost (3) Evaluate the line integral of the first type fez² ds, where C: y = sint, where 0 ≤ t ≤ 1. 2=t (4) Evaluate the surface integral of the first type ffs z dS, where S is the part of the circular cone z = √² + y² between z = 1 and z = 2. (5) Find the general solution of the equation +7+12r= 0.
Transcribed Image Text:4 Computation Please solve the following questions with details. (1) Evaluate the double integral ff. (r² + y²) do, where o is the region bounded by the line x = 1, y = 0 and the parabola y = x². (2) Evaluate the triple integral ffy z dV, where (V) is the hemisphere above the rOy plane with radius 1 and center at origin O. x = cost (3) Evaluate the line integral of the first type fez² ds, where C: y = sint, where 0 ≤ t ≤ 1. 2=t (4) Evaluate the surface integral of the first type ffs z dS, where S is the part of the circular cone z = √² + y² between z = 1 and z = 2. (5) Find the general solution of the equation +7+12r= 0.
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