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Maclaurin Series
Before working any illustrations of Taylor Series the first requirement is to address the assumption that a Taylor Series will in fact exist for a specified function. Let us start out with a few notation and definitions that we'll require.
To find out a condition that must be true in order for a Taylor series to exist for a function let's first describe the nth degree Taylor polynomial of f (x) as,
.
Note: This actually is a polynomial of degree at most n! If we were to write out the sum with no the summation notation this would obviously be an nth degree polynomial.
Question. Determine the position and nature of stationary points of the function? f(x,y)= y/x -x 2 +y 2
show that the subtangent at any point on parabola y2 =4ax is twice the abscissa at that point.
Multiply following. (a) (4x 2 -x)(6-3x) (b) (2x+6) 2 Solution (a) (4x 2 - x )(6 - 3x ) Again we will only FOIL this one out. (4x 2 - x )(6 - 3x) = 24x 2 -
Solve the subsequent IVP and find the interval of validity for the solution xyy' + 4x 2 + y 2 = 0, y(2) = -7, x > 0 Solution: Let's first divide on both
what will the introduction be ???
a circle is circumscribed about an equilateral triangle whose side is 3 cm. find the area of the circle.
We'll include this section with the definition of the radical. If n is a +ve integer that is greater than one and a is a real number then, Where n is termed as the index,
evaluate the expression a) 10C4 b) 10P4.....I do not understand this
1. Consider the following differential equation with initial conditions: t 2 x'' + 5 t x' + 3 x = 0, x(1) = 3, x'(1) = -13. Assume there is a solution of the form: x (t) = t
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