Chapter 2.4, Problem 30E

Integration By Parts    write u, v .......................

i attached the scrrenshot please explain how you did

A A trough is 9 feet long, and its cross section is in the shape of an isosceles right triangle with hypotenuse 2 feet, as shown above. Water begins flowing into the empty trough at the rate of 2 cubic feet per minute. At what rate is the height h feet of the water in the trough changing 2 minutes after the water begins to flow? S B Decreasing at foot per minute Increasing at foot per minute Decreasing at foot per minute 9 ft Increasing at foot per minute -2 ft-

Shrinking square The sides of a square decrease in length at a rate of 1 m>s. a. At what rate is the area of the square changing when the sides are 5 m long? b. At what rate are the lengths of the diagonals of the square changing?

Newton's law of cooling the rate of temperature of body is proportional to difference between the temperature of body and surround? True O False

Diagram shows part of the curve y=27-x^2. PQRS is a rectangle. Length of OQ is t units.

A pipe is leaking at the rate of 24 fluid ounces per minute use dimensional analysis to find out how many gallons the pipe is leaking per hour

Truo or False?

The radius of a right circular cone is increasing at a rate of 6 inches per minute, and the height is decreasing at a rate of 4 inches per minute. What are the rates of change of the volume and surface area when the radius is 15 inches and the height is 45 inches? in³/min rate of change of the volume rate of change of the surface area in²/min