Solve the Problem B) C) D)

question 22

Multiple Choice

Solve the problem.
-Let D be the smaller cap cut from a solid ball of radius 9 units by a plane 3 units from the center of the sphere. Set up the triple integral for the volume of D in spherical coordinates.

• A) \(\int _ { 0 } ^ { 2 \pi } \int _ { 0 } ^ { \tan ^ { - 1 } ( \sqrt { 72 } / 3 ) } \int _ { \sec \varphi } ^ { 9 } \varrho ^ { 2 } \sin \varphi \mathrm { d } \varphi \mathrm { d } \varphi \mathrm { d } \theta\)
• B) \(\int _ { 0 } ^ { 2 \pi } \int _ { 0 } ^ { \tan ^ { - 1 } ( \sqrt { 72 } / 9 ) } \int _ { 3 \sec \varphi } ^ { 9 } \varrho ^ { 2 } \sin \varphi \mathrm { de } \mathrm { d } \varphi \mathrm { d } \theta\)
• C) \(\int _ { 0 } ^ { 2 \pi } \int _ { 0 } ^ { \tan ^ { - 1 } ( \sqrt { 72 } / 9 ) } \int _ { \sec \varphi } ^ { 9 } \varrho ^ { 2 } \sin \varphi \mathrm { de } d \varphi d \theta\)
• D) \(\int _ { 0 } ^ { 2 \pi } \int _ { 0 } ^ { \tan ^ { - 1 } ( \sqrt { 72 } / 3 ) } \int _ { 3 \sec \varphi } ^ { 9 } \varrho ^ { 2 } \sin \varphi \mathrm { d } \operatorname { d } \varphi \mathrm { d } \theta\)

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Definitions:

Tuberculosis

A contagious bacterial infection that primarily affects the lungs but can also impact other parts of the body.

Medicare D

Refers to Medicare Part D, a program that offers prescription drug coverage to individuals with Medicare.

Prescription Drug Plan

A prescription drug plan is a health insurance program designed to cover the costs of prescription medications.

Medication Costs

The expenses associated with purchasing drugs or pharmaceuticals prescribed for treatment or health maintenance.