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What are the dimensions of a rectangular prism is the surface area is 126 square units and the volume is 90 cubic units?

What will be the total surface area of a rectangular box of dimensions 3×4×5 open at the top?

Use Lagrange multipliers to find the dimensions of a rectangular box with largest volume if the total surface area is given as 676 cm2. (Enter the dimensions (in centimeters) as a comma separated list.)

Use Lagrange multipliers to find the dimensions of a rectangular box with largest volume if the total surface area is given as 100.

A 1700 L tank contains 850 L of water with a salt concentration of 8 gL. Water with a salt concentration of 52 gL flows into the tank at a rate of 90 Lmin. The fluid mixes instantaneously, and is pumped out at a specified rate Rout. Let y(t) denote the quantity of salt in the tank at time t. Assume Rout=44 Lmin. What is the salt concentration when the tank overflows?

In performing External Factor Evaluation Matrix and Internal Factor Evaluation Matrix, How will you determine the values (weight and ratings) to be assigned to the factors? 

A 1900 L tank contains 950 L of water with a salt concentrationof 13 g/L. Water with a salt concentration of 43 g/Lflows into the tank at a rate of 80 L/min. The fluidmixes instantaneously, and is pumped out at a specified rate 113L/min. Let y(t) denote the quantity of salt in the tankat time t.

a.) set up and solve the differential equation for y(t).

b.) what is the salt concentration at t = 10 minutes?

A 1700L tank contains 850L of water with a salt concentration of8g/L. Water with a salt concentration of 51g/L flows into the tankat a rate of 86g/min. The fluid mixes instantaneously, and ispumped out at a specified rate R(out) . Let y(t) denote thequantity of salt in the tank at time t .

Assume . R(out)=36 L/min

a)Set up and solve the differential equation for y(t)

b) What is the salt concentration when the tank overflows?

cardboard boxes a lidless box is to be made using 2m^3 of cardboard. find the demisnions of the box with the largest possible volume.

Use Lagrange multipliers in the following problems.

Find the rectangular box with a volume of 16ft^3 that has minimum suface area.

A 1000 L tank contains 500 L of water with a salt concentration of 10 g/L. Water with a salt concentration of 7070 g/L flows into the tank at a rate of 8080 L/min. The fluid mixes instantaneously and is pumped out at the rate of Rout=40Rout=40 L/min.

Let y(t)y(t) denote the quantity of salt in the tank at time tt.

Find the salt concentration when the tank overflows.

(Use decimal notation. Give your answer to one decimal place.)

The concentration of salt is g/L.