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If f(x) is an infinitely differentiable function so the Taylor Series of f(x) about x=x0 is,
Recall that,
f(0)(x) = f(x)
f(n)(x) = nth derivative of f(x)
methods of interpolation
Let E; F be 2 points in the plane, EF has length 1, and let N be a continuous curve from E to F. A chord of N is a straight line joining 2 points on N. Prove if 0 and N has no cho
why it is hard?
Example of Cartesian coordinate Graph: Example: The temperature of water flowing in a high pressure line was measured at regular intervals. Plot the subsequent recorded da
the sides of a right angle triangle are a,a+d,a+2d with a and d both positive.the ratio of a to d a)1:2 b)1:3 c)3:1 d)5:2 answer is (c) i.e. 3:1 Solution: Applying
Estimation of difference among population proportions Assume the two proportions be described by P1 and P2, respectively,Then the difference absolute between the two proportion
A motor boat takes Six hours to cover 100 km downstream and 30 km upstream. If the motor boat goes 75 km downstream and returns back to its starting point in 8 hours, find the sp
what is 10+10
1. Sketch the Spiral of Archimedes: r= aθ (a>0) ? 2: Sketch the hyperbolic Spiral: rθ = a (a>0) ? 3: Sketch the equiangular spiral: r=ae θ (a>0) ?
solve the differential equation dy/dx=f(y)x^n+g(y)x^m by finding a one-parameter group leaving it invariant
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