Assume a box has a square base and the length of a side of the base is equal to twice the height of the box. a. If the height is 6 inches, what are the dimensions of the base? The dimensions of the base are inches X inches = square inches. b. Write functions for the surface area and the volume that are dependent on the height, h. S(h) = nh" square inches, where n = and m = V(h) = ph° cubic inches wherep = and q = c. If the volume has increased by a factor of 27, what has happened to the height? The new height is times the original height. d. As the height increases, what will happen to the ratio of (surface area)/volume? The ratio will not change eTextbook increase decrease

Q: When the height of the sand in a particular rectangular sandbox is leveled out then the height of…

A: The height of the sand box is proportional to the volume of the sand. When the height is 2.25 in the…

Q: Imagine that you work as a designer in a company that designs baby bottles. Your mission is to…

A:

Q: For each situation, find zcritical and area under the curve (AUC) beyond zcritical to fill out the…

A: For 0.06. The level of significance is 0.06.

Q: The volume for a cylinder with radius r and height h is V = πr²h. If the diameter of the cylinder,…

A: In this question, we want to find the volume of cylinder in the terms of w.

Q: A rectangular sheet of metal of length=30cm and width = 28cm has a square of side x cm cut from each…

A:

Q: The Volume (V) of a cone varies jointly as its height (h) and the square of its radius (r). Find the…

A:

Q: The frequency, F (the number of oscillations per unit of time), of an object of mass m attached to a…

A: Calculation:a. The initial statement Frequency is inversely proportional to the square root of the…

Q: You can estimate a tree's age in years by using the formula r a = where r is the tree's radius…

A:

Q: The terminal velocity of a skydiver is reached typically about 10-12 seconds into a dive. The square…

A: To find out the equation that models the situation.

Q: The pressure exerted by a certain liquid at a given point varies directly as the depth of the point…

A: Given that: Pressure at d=80 feet is p=240 pounds per square inch. Pressure is the physical force…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.