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Applications of derivatives : At last, let's not forget about our applications of derivatives. Example Assume that the amount of air in a balloon at any time t is specified
Determine the function f ( x ) . f ′ ( x )= 4x 3 - 9 + 2 sin x + 7e x , f (0) = 15 Solution The first step is to integrate to fine out the most general pos
There are 6 contestants for the post of chairman secretary and treasurer. These positions can be filled by any of the 6. Find the possible no. of ways whether the 3 positions may b
Given, y = f(x) = 2 x 3 - 3x 2 + 4x +5 a) Use the Power function to find derivative of the function. b) Find the value of the derivative at x = 4.
The Mean Value Theorem Assume f(x) is a function that satisfies both of the subsequent. 1. f(x) is continuous on the closed interval [a,b]. 2. f(x) is differentiabl
Define a Hamilton path. Determine if the following graph has a Hamilton circuit. Ans: A path is known as a Hamiltonian path if it consists of every vertex of the graph e
Nicole is forming 20 gift baskets. She has 15 pounds of chocolates to distribute equally between the baskets. If each basket gets the similar amount of chocolates, how many pounds
Example of Regression Equation An investment company advertised the sale of pieces of land at different prices. The given table shows the pieces of land their costs and acreag
Trig Substitutions - Integration techniques As we have completed in the last couple of sections, now let's start off with a couple of integrals that we should previously be
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