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The definition of the derivative, The Definition of the Derivative : In t...

The Definition of the Derivative : In the previous section we saw that the calculation of the slope of a tangent line, the instantaneous rate of change of a function, and the ins

Systems of differential equations, For this point we've only looked as solv...

For this point we've only looked as solving particular differential equations. Though, many "real life" situations are governed through a system of differential equations. See the

Arc length formula - applications of integrals, Arc length Formula L = ...

Arc length Formula L = ∫ ds Where ds √ (1+ (dy/dx) 2 ) dx                                     if y = f(x), a x b ds √ (1+ (dx/dy) 2 ) dy

What are intervals, A subset of the real line is called as an interval. Int...

A subset of the real line is called as an interval. Intervals are very significant in computing inequalities or in searching domains etc. If there are two numbers a, b € R such tha

Solve 3 + 2 ln ( x /7+3 ) = -4 logarithm, Solve 3 + 2 ln ( x /7+3 ) = -4 . ...

Solve 3 + 2 ln ( x /7+3 ) = -4 . Solution This initial step in this problem is to get the logarithm by itself on one side of the equation  along with a coefficient of 1.

Probability, a die was rooled 500 times and number of times 4 came up was n...

a die was rooled 500 times and number of times 4 came up was noted if the imperical probability calculated from this information 7_10

Define regression, Define regression. The main reason of curve fitting ...

Define regression. The main reason of curve fitting is to estimate one of the variables (the dependent variable) from the other (the independent variable). The procedure of est

Evaluate limit in indeterminate form, Evaluate following limits. S...

Evaluate following limits. Solution In this case we also contain a 0/0 indeterminate form and if we were actually good at factoring we could factor the numerator & den

Find the value of given equations in polynomial , If α & ß are the zeroes ...

If α & ß are the zeroes of the polynomial 2x 2 - 4x + 5, then find the value of a.α 2 + ß 2   b. 1/ α + 1/ ß  c. (α - ß) 2 d. 1/α 2 + 1/ß 2    e.  α 3 + ß 3 (Ans:-1, 4/5 ,-6,

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