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You want to integrate a continuous function f: D→ R over the region D shown in the figure below. The cone is described by the equation z = 9-3√x² + y². The region lies above the semicircular disk and below the cone, as illustrated. Which one of the integrals below is the correct setup for this integral? 3 3 √√/9-2² +9-3√√/²+3/² [ 0 3 L√√²* 3 +9−3√√/z²+y³ ["² √√*** ſ°-³√*³*** ƒ(x, y, z) dz da dy 0 T 3 √/9–1² √9-1² 3 f(x, y, z) dz dy da: 3 ſª, ſ. ¹⁰—* ſ°-³√*°** fƒ(x, y, 2) dz da dy -3 10 0 9-3₁/2²+y² ľ p9-3√/2² +3² 3 √2² +3² f(x, y, z) dz dy dx 19-37 f(x, y, z) dz dy dx flora) dr der das

You want to integrate a continuous function f: D→ R over the region D shown in the figure below. The cone is described by the equation z = 9-3√x² + y². The region lies above the semicircular disk and below the cone, as illustrated. Which one of the integrals below is the correct setup for this integral? 3 3 √√/9-2² +9-3√√/²+3/² [ 0 3 L√√²* 3 +9−3√√/z²+y³ ["² √√*** ſ°-³√*³*** ƒ(x, y, z) dz da dy 0 T 3 √/9–1² √9-1² 3 f(x, y, z) dz dy da: 3 ſª, ſ. ¹⁰—* ſ°-³√*°** fƒ(x, y, 2) dz da dy -3 10 0 9-3₁/2²+y² ľ p9-3√/2² +3² 3 √2² +3² f(x, y, z) dz dy dx 19-37 f(x, y, z) dz dy dx flora) dr der das

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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You want to integrate a continuous function f: D→ R over the region D shown in the figure below. The cone is described by the equation z = 9-3√x² + y². The region lies above the semicircular disk and below the cone, as illustrated. Which one of the integrals below is the correct setup for this integral? 3 3 0 √√/9-2² +9-3√√/²+3/² [0-³√²*¹3* ƒ(x, y, z) dz dy dz 3 +9−3√√/z²+y³ ["² √√*** ſ°-³√*³*** ƒ(x, y, z) dz da dy 0 3 [**/ 9-3₁/2²+y² 3 f(x, y, z) dz dy da: 3 ſª, ſ. ¹⁰—* ſ°-³√*°** fƒ(x, y, 2) dz da dy -3 10 0 3 √/9–1² p9-3√/2² +3² √9-1²/0 9−3√√/z²+y² 3 LET -3 /9-y Jo V f(x, y, z) dz dy dx f(x, y, z) dz dx dy
Transcribed Image Text:You want to integrate a continuous function f: D→ R over the region D shown in the figure below. The cone is described by the equation z = 9-3√x² + y². The region lies above the semicircular disk and below the cone, as illustrated. Which one of the integrals below is the correct setup for this integral? 3 3 0 √√/9-2² +9-3√√/²+3/² [0-³√²*¹3* ƒ(x, y, z) dz dy dz 3 +9−3√√/z²+y³ ["² √√*** ſ°-³√*³*** ƒ(x, y, z) dz da dy 0 3 [**/ 9-3₁/2²+y² 3 f(x, y, z) dz dy da: 3 ſª, ſ. ¹⁰—* ſ°-³√*°** fƒ(x, y, 2) dz da dy -3 10 0 3 √/9–1² p9-3√/2² +3² √9-1²/0 9−3√√/z²+y² 3 LET -3 /9-y Jo V f(x, y, z) dz dy dx f(x, y, z) dz dx dy
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