Use Lagrange multipliers to find the dimensions of a rectangular box with largest volume if the total surface area is given as 4 cm2. (Enter the dimensions (in centimeters) as a comma separated list.)

What properties allow transformation to be used as a problem solving tool

The length of a rectangle is x times the square root of 100. the width is one-half y more than three-halves x. given that the area of the rectangle is 125 cm2, which equation could represent the rectangle in terms of x and y? a) 5xy − 15x = 125 b) 5xy + 15x = 125 c) 15x2 − 5xy = 125 d) 15x2 + 5xy = 125

In need of in the diagram, ∠abc is a right angle. ∠dbc = 30°27'40". find the measure of ∠abd.