Set up an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Then use your calculator to evaluate the integral correct to five decimal places. x2 9y2

This question is incomplete, the complete question is;

Set up an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Then use your calculator to evaluate the integral correct to five decimal places.

x² + 9y² = 9

(a) About

y = 3

(b) About  

x = 3

a) the volume of solid revolution is 18π² = 177.652879 ≈ 177.65288

b) the volume of solid revolution is 18π² = 177.652879 ≈ 177.65288

Step-by-step explanation:

a) the volume of solid of revolution

about y=3

Using SHELL METHOD;

Volume V = 2π . (3-y) (2.3√(1-y²)) dy

= 12π .  (3-y) √(1-y²) dy

= 12π .  (( 3√(1-y²) - y(√(1-y²)) dy

= 12π[ π - 0 ]

= 18π² = 177.652879 ≈ 177.65288

Therefore, the volume of solid revolution is 18π² = 177.652879 ≈ 177.65288

b)

the volume of solid of revolution

about x=3

Using SHELL METHOD;

Volume V = π . (3-x) (√(9-x²)) dx

= π . (3-x) √(9-x²) dx

= π . (3√9-x² -x√(9-x²) dx

=  π [ - 0 ]

= 18π² = 177.652879 ≈ 177.65288

Therefore, the volume of solid revolution is 18π² = 177.652879 ≈ 177.65288

o= 4(i) +3

step-by-step explanation:

o is your output value and i is your input value. so, for example, if we stuck 7 in as our input, we would first multiply by 4 ( pemdas ), which equals 28. then we would add 3 to 28, for a total output of 31. this may not be a graph, but, it is a way to solve your formula..

idk

step-by-step explanation: