A water trough 2 ft across, 4 ft long, and 1 ft deep has ends in the shape of isosceles triangles (See the figure ) It is being filled with 3 5 ft 3 of water per minute Find the rate at which the depth of water in the tank is changing when the water is 1 3 ft deep 1 ft 4 ft 2 ft

Question: A water trough 2 ft across, 4 ft long, and 1 ft deep has ends in the shape of isosceles triangles. (See the figure.) It

A water trough 2 ft across, 4 ft long, and 1 ft deep has ends in the shape of isosceles triangles. (See the figure.) It is being filled with 3.5 ft³ of water per minute. Find the rate at which the depth of water in the tank is changing when the water is 1/3 ft deep. 1 ft 4 ft 2 ft

1 ft 4 ft 2 ft

Step by Step Solution

★★★★★

3.47 Rating (160 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Let x onehalf of the width of the triangular cross section ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Calculus With Applications Questions!

A 3 ft deep fish pond in the shape of a hemisphere has a volume of 56.549 ft3 when it is full. These data have been collected relating depth to volume in the pond: a. Find the equation of the least...

Water is flowing into a barrel in the shape of a right circular cylinder at the rate of 200 in3/min. If the radius of the barrel is 18 in., at what rate is the depth of the water changing when the...

Water is poured into a container in the shape of a right circular cone with radius 4 feet and height 16 feet. See the figure. Express the volume V of the water in the cone as a function of the height...

Write 3 facts you feel are important or upload a picture of your notes from this section: Write two questions you have from this section: Write one connection you see between this section's material...

1. [0/2 Points] DETAILS PREVIOUS ANSWERS LARCALC11M 2.6.013. MY The radius r of a sphere is increasing at a rate of 3 centimeters per minute. (a) Find the rate of change of the volume when / = 9...

A trough is 14 ft long and its ends have the shape of isosceles triangles that are 2 ft across at the top and have a height of 1 ft. If the trough is being filled with water at a rate of 13 ft 3...

6. [-/1 Points] DETAILS LARCALC11 2.6.017.MI. At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 12 cubic feet per minute. The diameter of the base of the...

17 ASK YOUR 34 Points] DETAILS SCALCET8 3.9.026.MI. 0/100 Submissions Used MY NOTES ough is 8 ft long and its ends have the shape of isosceles triangles that are 2 ft across at the top and have a...

8. [-/4 Points] DETAIL LARCALCET7 3.7.020. A trough is 12 feet long and 3 feet across the top (see figure). Its ends are isosceles triangles with altitudes of 3 feet. 2 113 min 12 1 3 It (a) If water...

3. [012 Polnts] DETAILS PREVIOUS ANSWERS LARCALC11M 2.6.020. MY NOTES ASK YOUR TEACHER l PRACTIC A trough is 12 meters long and 3 meters across the top (see gure). Its ends are isosceles triangles...

To the left of each account listed on the trial balance, indicate the financial statement that will include the account: income statement (IS), statement of retained earnings (RE), or balance...

Cineplex Inc. is the largest motion picture exhibitor in Canada and owns, leases, or has joint-venture interests in over 161 theatres with 1,630 screens. Exhibits 10-12A and B contain Notes 18 and 25...

On March 31, Jackson Paints & Supplies borrowed $125 comma 000 to build a metal building for use as a warehouse. The 6-month loan has a rate of 11.5%. Find (a) the due date and (b) the maturity value...

Identify the structures of the brain involved in emotion, learning, memory, and motivation.

Calculate the number of years to reduce pollution in Lake Erie to each level. a. 40% b. 30% The following figures, representing years, were found in this way. Fortunately, the pollution in Lake...

Kimberly Austin deposits $5000 in an IRA at 6% interest compounded continuously for her retirement in 10 years. She intends to make continuous deposits at the rate of $3000 a year until she retires....

Repeat Exercise 1 for Lake Michigan. Data from exercises 1 Calculate the number of years to reduce pollution in Lake Erie to each level. 40% 30% The following figures, representing years, were found...

Manson Industries incurs unit costs of $8 ($5 variable and $3 fixed) in making an assembly part for its finished product. A supplier offers to make 11,500 of the assembly part at $6 per unit. If the...

Question 2 (23 marks) (a) A Bank has a bond with a maturity of 4 years. The coupon rate of the bond is 8%, the yield to maturity is 9%, and the face value is 1 million dollars. Interest payment will...