nun, Mathematics

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DIFFERENTIAL EQUATIONS, WHICH LIFE PROBLEMS CAN BE SOLVED USING THE KNOWLED...

WHICH LIFE PROBLEMS CAN BE SOLVED USING THE KNOWLEDGE OF DIFFERNTIAL EQUATIONS?

Slope of tangent line, Slope of Tangent Line : It is the next major interp...

Slope of Tangent Line : It is the next major interpretation of the derivative. The slope of the tangent line to f ( x ) at x = a is f ′ ( a ) . Then the tangent line is given by,

Arithmetic/geometric sequences and binomial expansion, find s10 for the ari...

find s10 for the arithmetic sequenxe inwhich a1=5 and a10=68

Find the number of ways to arrange words, Q. Find the number of ways three ...

Q. Find the number of ways three letter "words" can be chosen from the alphabet if none of the letters can be repeated? Solution:  There are 26 ways of choosing the first lett

Calculate the difference in payments of home mortgage loan, You have just r...

You have just renegotiated the interest rate of your home mortgage loan. (This is called rate modification.)  The original loan of $400,000 carries an interest rate is 6% has an or

Differential equation and laplace transform, 1. Solve the given differentia...

1. Solve the given differential equation, subject to the initial conditions: . x2y''-3xy'+4y = 0 . y(1) = 5, y'(1) = 3 2. Find two linearly independent power series soluti

Natural exponential function , Natural exponential function : There is a e...

Natural exponential function : There is a extremely important exponential function which arises naturally in several places. This function is called as the natural exponential fun

Evaluate the measure of the smallest angle, The calculation of the angles o...

The calculation of the angles of a triangle are shown by 2x + 15, x + 20 and 3x + 25. Evaluate the measure of the smallest angle within the triangle. a. 40° b. 85° c. 25°

Find out the average temperature, Find out the average temperature: E...

Find out the average temperature: Example: Find out the average temperature if the subsequent values were recorded: 600°F, 596°F, 597°F, 603°F Solution: Step

Gaussian elimination, Example1 :  Solve the subsequent system of equations....

Example1 :  Solve the subsequent system of equations. -2x 1 + x 2 - x 3 = 4 x 1 + 2x 2 + 3x 3   = 13 3x 1 + x 3 = -1 Solution The initial step is to write d

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