Water is flowing into a vertical cylindrical tank or radius 2 meters at a rate of 8 cu. meters per minute. How fast is the water level rising?

Q: Problem #1:x =- Vy (y – 3); 1 <y< 9

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A: ∫13x+12dx=∫12x+12dx+∫23x+12dx⇒563=∫12x+12dx+∫23x+12dx⇒563=193+∫23x+12dx⇒563=193+373

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A: I am attaching image so that you understand each and every step.

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