Z 2 z 4 y 2 x dx dyis equal to which of the following

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Calculus
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Chapter 15 / Exercise 17
Calculus
Stewart
Expert Verified
1.0-4-y2x dx dyis equal to which of the following?Zπ/2Z2Z2Z0(a)00r2cosθ dr dθ(b)Zππ/2Z20r2cosθ dr dθ(c)Zπ/20Z20r3sinθcosθ dr dθ(d)Zππ/2Z20r3sinθcosθ dr dθ(e) None of the above
2. The area of the regionRbounded below byr= 1 and above byr= 2 sinθis equal to which of the following?Z5π/6Z2 sinθ
2A
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Calculus
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Chapter 15 / Exercise 17
Calculus
Stewart
Expert Verified
3.Z20Zπ0Zπ0ρ4sinφ dφ dθ dρis equal to which of the following?Z2Z4-y2Z4-x2-y2
4. Which of the following are true?I.dVin the rectangular coordinate system can be converted tor dr dθ dzin the cylindrical coordinate system.II.dVin the rectangular coordinate system can be converted toρ2sinφ dρ dθ dφin the spherical coordinate system.III.dAin the rectangular coordinate system can be converted tor dr dθin the polar coordinate system.IV. Every point (x, y) in the rectangular coordinate system can be con-verted to (r, θ) in the polar coordinate system by using the equationsr=px2+y2andθ= arctan(y/x)
3A

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