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Indeterminate forms, Indeterminate forms Limits we specified methods fo...

Indeterminate forms Limits we specified methods for dealing with the following limits. In the first limit if we plugged in x = 4 we would get 0/0 & in the second limit

The shortest distance among the line y-x=1 and curve x=y^2, Any point on pa...

Any point on parabola, (k 2 ,k) Perpendicular distance formula: D=(k-k 2 -1)/2 1/2 Differentiating and putting =0 1-2k=0 k=1/2 Therefore the point is (1/4, 1/2) D=3/(32 1/2

Find the value a2 + ß2 and (a - ß)2, If  α,β are the zeros of the polynom...

If  α,β are the zeros of the polynomial 2x 2 - 4x + 5 find the value of a) α 2 + β 2   b) (α - β) 2 . Ans : p (x) = 2 x 2 - 4 x + 5           (Ans: a) -1 , b) -6) α + β =

Probability, Question: There are 6 letters and 6 self addressed envelopes.W...

Question: There are 6 letters and 6 self addressed envelopes.What is the probability that atleast 1 is placed correctly?? Ans: If we let A be the event that letter A is in the cor

Exponential functions, The exponential functions are useful for descr...

The exponential functions are useful for describing compound interest and growth. The exponential function is defined as:          y = m. a x where '

Run a chi-square test, Download the data on Gas Mileage.  This is a sample ...

Download the data on Gas Mileage.  This is a sample of 81 passenger cars with information about gas consumption and other technical details.     a.        Estimate the following

Find the coordinates of c , Plot the points A(2,0) and B (6,0) on a graph p...

Plot the points A(2,0) and B (6,0) on a graph paper. Complete an equilateral triangle ABC such that the ordinate of C be a positive real number .Find the coordinates of C   (Ans: (

System of differential equations for the population, Write down the system ...

Write down the system of differential equations for the population of both predators and prey by using the assumptions above. Solution We will start off through letting that

Trigonometry, trigonometric ratios of sum and difference of two angles

trigonometric ratios of sum and difference of two angles

Use the power function to find derivative, Given, y = f(x) = 2 x 3 - 3x 2 ...

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.

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