Sketch the Region R of Integration and Then Switch the Order

question 57

Multiple Choice

Sketch the region R of integration and then switch the order of integration for the following integral. $$\int _ { 0 } ^ { 7 } \int _ { 0 } ^ { \sqrt { 49 - x ^ { 2 } } } f ( x , y ) d y d x$$

• A) \(\int _ { - 7 } ^ { 7 } \int _ { 0 } ^ { \sqrt { 49 - y ^ { 2 } } } f ( x , y ) d x d y\)
• B) \(\int _ { - 7 } ^ { 7 } \int _ { 0 } ^ { 49 - y ^ { 2 } } f ( x , y ) d x d y\)
• C)\(\int _ { 0 } ^ { 7 \sqrt { 49 - y ^ { 2 } } } \int _ { 0 } f ( x , y ) d x d y\)
• D)\(\int _ { 0 } ^ { 49 } \int _ { 0 } ^ { 7 - y ^ { 2 } } f ( x , y ) d x d y\)
• E) \(\int _ { 0 } ^ { 7 } \int _ { 0 } ^ { 49 - x ^ { 2 } } f ( x , y ) d x d y\)

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