Mathematic Modeling, Mathematics

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Calculus, sin(xy)+x=5y Find the derivative.

sin(xy)+x=5y Find the derivative.

Naive regular perturbation of the form, Consider the equation e x 3 + ...

Consider the equation e x 3 + x 2 - x - 6 = 0, e > 0 (1) 1. Apply a naive regular perturbation of the form do derive a three-term approximation to the solutions

Proper and improper fractions, Proper and Improper Fractions: Exampl...

Proper and Improper Fractions: Example: 3/8 proper fraction 8/3 improper fraction 3/3 improper fraction Here an improper fraction expressed as the sum of an in

Calculate the score of contestant on a tv game show, Danny is a contestant ...

Danny is a contestant on a TV game show. If he gets a question right, the points for that question are added to his score. If he gets a question wrong, the points for that question

Whole numbers, Observe that natural numbers do not have a zero....

Observe that natural numbers do not have a zero. This shortcoming is made good when we consider the set of whole numbers. The set of whole numbe

Classifying critical points, Classifying critical points : Let's classify ...

Classifying critical points : Let's classify critical points as relative maximums, relative minimums or neither minimums or maximums. Fermat's Theorem told us that all relative

Differential equations, Verify Liouville''''''''s formula for y "-y" - y'''...

Verify Liouville''''''''s formula for y "-y" - y'''''''' + y = 0 in (0, 1) ?

Write algorithm for the multiplication of a 3-digit number, E1) Why do we s...

E1) Why do we shift the place by one, of the result in the second row of the calculation, when we multiply, say, 35 by 237 E2) Write down the algorithm for the multiplication of

Linear algebra, solve for k such that the system 4x+ky=6 kx+y=-3

solve for k such that the system 4x+ky=6 kx+y=-3

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