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

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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.