Problem 10: The region R in the ry-plane is bounded by the circles r? +y = 4 and r² + (y – 2)? = 4. Set up, but do not evaluate, an integral or sum of integrals in Cartesian coordinates that represents the area of R. You may choose the variable of integration freely. I. *+ (v – 2)* = 4 Set up, but do not evaluate, an integral or sum of integrals using polar coordinates that represents the area of R. II. + (y – 2)² = 4 * + = 4
Problem 10: The region R in the ry-plane is bounded by the circles r? +y = 4 and r² + (y – 2)? = 4. Set up, but do not evaluate, an integral or sum of integrals in Cartesian coordinates that represents the area of R. You may choose the variable of integration freely. I. *+ (v – 2)* = 4 Set up, but do not evaluate, an integral or sum of integrals using polar coordinates that represents the area of R. II. + (y – 2)² = 4 * + = 4
Problem 10: The region R in the ry-plane is bounded by the circles r? +y = 4 and r² + (y – 2)? = 4. Set up, but do not evaluate, an integral or sum of integrals in Cartesian coordinates that represents the area of R. You may choose the variable of integration freely. I. *+ (v – 2)* = 4 Set up, but do not evaluate, an integral or sum of integrals using polar coordinates that represents the area of R. II. + (y – 2)² = 4 * + = 4
P10) The region R in the xy-plane is bounded by the circles x2 + y2 = 4 and x2 + (y − 2)2 = 4
I. Set up, but do not evaluate, an integral or sum of integrals in Cartesian coordinates that represents the area of R. You may choose the variable of integration freely.
II. Set up, but do not evaluate, an integral or sum of integrals using polar coordinates that represents the area of R.
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Transcribed Image Text:Problem 10:
The region R in the ry-plane is bounded by the circles r? +y = 4 and r² + (y – 2)? = 4.
Set up, but do not evaluate, an integral or sum of integrals in Cartesian coordinates that represents the
area of R. You may choose the variable of integration freely.
I.
*+ (v – 2)* = 4
Set up, but do not evaluate, an integral or sum of integrals using polar coordinates that represents the
area of R.
II.
+ (y – 2)² = 4
* + = 4
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
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