Math Lessons, Mathematics

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Derivative for the trig function, Derivative for the trig function: We'll ...

Derivative for the trig function: We'll begin with finding the derivative of the sine function. To do this we will have to utilize the definition of the derivative. It's been wher

Radius of convergence - sequences and series, Radius of Convergence We ...

Radius of Convergence We will be capable to illustrate that there is a number R so that the power series will converge for, |x - a| R.  This number is known as the radius of

Find the quotient and remainder, Question: Find the quotient and remain...

Question: Find the quotient and remainder when f(x) = x 5 - x 4 - 4x 3 + 2x + 3 is divided by g(x) = x-2. Make sure the quotient and remainder are clearly identified.

Calculate the volume and surface area of a sphere, Calculate the volume and...

Calculate the volume and surface area of a sphere: Calculate the volume and surface area of a sphere with r = 4".  Be sure to include units in your answer. Solution: V

Hypergeometric distribution, Hypergeometric Distribution Consider the p...

Hypergeometric Distribution Consider the previous example of the batch of light bulbs. Suppose the Bernoulli experiment is repeated without replacement. That is, once a bulb is

Determine the volume of the pool, An inground pool is pooring with water. T...

An inground pool is pooring with water. The shallow end is 3 ft deep and gradually slopes to the deepest end, which is 10 ft deep. The width of the pool is 30 ft and the length is

Relating addition and subtraction, RELATING ADDITION AND SUBTRACTION :  In...

RELATING ADDITION AND SUBTRACTION :  In the earlier sections we have stressed the fact that to help children understand addition or subtraction, they need to be exposed to various

What is partially ordered set, What is Partially Ordered Set?  Let  S = {a,...

What is Partially Ordered Set?  Let  S = {a,b,c} and A = P(S). Draw the Hasse diagram of the poset A with the partial order ⊆ (set inclusion).   Ans: Let R be a relation define

Subjective probability, Subjective Probability Probability may be de...

Subjective Probability Probability may be determined by a personal statement of how likely an outcome is in a single trial or repetition of the same experiment. Since sub

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