The water level in a tank decreases with time according to the following equation: h(t) = 1.8 t² – 96 t + 1280 where h(t) = water level in meters, t = time in seconds (a) Determine the first-order differential equation relating= to t. (e) Solve DE in (a) using Laplace Transform. Compare it with the given formula of h(t) (f) Plot h vs t (using the given formula of h(t)), then evaluate the solution in terms of shape, initial level, and final level. You will need the initial condition (h(0)) to solve using laplace and find particular solution. Use b(0) = 1280

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 …

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experime…