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Before going to solving differential equations we must see one more function. Without Laplace transforms this would be much more hard to solve differential equations which involve
Derivatives to Physical Systems: A stone is dropped into a quiet lake, & waves move within circles outward from the location of the splash at a constant velocity of 0.5 feet p
Pepsi: A dummy variable where 1 denotes choice of Pepsi by the i-th customer and 0 otherwise Price_P: The price of a 2-liter bottle of Pepsi at the time
An ice-cream cone has a hemispherical top. If the height of the cone is 9 cm and base radius is 2.5 cm, find the volume of ice cream cone.
Multiply following. Assume that x is positive. (3√x-√y)(2√x-5√y) Solution (3√x-√y)(2√x-5√y) =6√x 2 -15√x√y-2√x√y+5√y
Critical Point Definition : We say that x = c is a critical point of function f(x) if f (c) exists & if either of the given are true. f ′ (c ) = 0 OR f ′ (c
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Consider the function f(x) = 2x 2 + 1. Find the equation of the tangent to the graph of f(x) at x = 2. [NOTE: when calculating f'(2), use first principles.
Logarithmic Differentiation : There is one final topic to discuss in this section. Taking derivatives of some complicated functions can be simplified by using logarithms. It i
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