Forming Functions from verbal descriptions

A box with a square base and no top has a volume of 6m^3. Express the total surface area A of the box as a function of the width w of the base

Forming Functions from verbal descriptions

A stone is thrown into a lake, and t seconds after the splash the diameter of the circle of ripples is t meters A. Express the circumference C of this circle as a function of t. B. express the area A of this circle as a function of t.

Forming Functions from verbal descriptions

A balloon is inflated in such a way that is volume increases at a rate of 20cm^3/s. a. If the volume of the balloon was 100cm^3 when the process of inflation began what will the volume be after t seconds of inflation b. Assuming that the balloon is spherical while it is being inflated, express the radius r of the balloon as a function of t.

Forming Functions from verbal descriptions

At 2:00 p.m. bike A is 4km north of point C and traveling south as 16km/h. At th same time, bike B is 2 km east of C and traveling east at 12km/h. a. Show that t hours after 2:00 p.m. the distance between the bikes is: square root (400t^2 - 80t + 20) b. At what time is the distance between the bikes the least? c. What is the distance between the bikes when they are closest?

Forming Functions from verbal descriptions

A box with a square base and no top has a volume of 8m^3. The material for the base cost $8 per square meter, and the material cost for sides costs $6 per square meter. a. Express the cost C of the materials used to make the box as a function of the width w of the base b. find the minimum