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Give the first 3 non-zero terms of the Taylor polynomial approximation to sin x about the point x equals 0?
GilmarEnaje
3
Wiley Waelchi
Wiki User
∙ 11y agoLet f(x) = sin(x). Then:
f'(x) = cos(x)
f''(x) = -sin(x)
f'''(x) = -cos(x)
The Taylor approximation form states that:
T(x) = f(x) + f'(x)(x - a) + f''(x)(x - a)²/2! + ....
Since we want to determine the first 3 non-zero terms of the Taylor polynomial, we want to express the polynomial as:
T2(x) = f(x) + f'(x)(x - a) + f''(x)(x - a)²/2!
So at the center:
T2(x) = sin(x) + cos(x)x - sin(x)x²/2
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Let N be the second last digit of your student number so N equals 3 Use the Taylor polynomial of Q2 to give an approximation to sin n?
So taking a student number to make the second to last number be N which will t equal 3 in the Taylor Polynomial for sin. So if N=3, we can calculate that sin(N) = sin(3) =0.05233596.
What is a polynomial with a single root at x equals 2 and a double root at x equals 5?
That would be (x - 2) ( x - 5) ( x - 5). If you like, you can multiply these polynomials to get a single polynomial in standard form (i.e., not factored).
Is y equals 7x power 3 a polynomial function?
Yes. It has variables x, y etc and their powers.
According to the Remainder theorem the remainder of the problem in which a polynomial F x is divided by the binomial x - a equals?
F(a)
What is the difference between a polynomial and an equation?
Equations will have an equals sign. Such as: x + 3 = 2 Polynomials will not. Such as: 2x + 3
If N be the second last digit of your student number so N equals 3 Use the Taylor polynomial of quarter 2 to give an approximation to sin n?
4 units
Let N be the second last digit of your student number so N equals 3 Use the Taylor polynomial of Q2 to give an approximation to sin n?
So taking a student number to make the second to last number be N which will t equal 3 in the Taylor Polynomial for sin. So if N=3, we can calculate that sin(N) = sin(3) =0.05233596.
What is a nonzero fraction?
Any fraction that has a zero as the numerator equals zero. Any fraction that does not have a zero in the numerator would be a nonzero fraction.
If a polynomial is divided by (x-a) and the remainder equals zero then (x-a) is a factor of the polynomial?
false - apex
When a nonzero integer is divided by it's opposite is -1?
Yes, when a nonzero integer is divided by it's opposite it's value equals -1
The polynomial x - 2 is a factor of the polynomial Fx equals 5x2 - 6x plus 4?
False
The exponential expression b0 equals for any nonzero base b?
1
What Degree of a polynomial is -18x2y2z equals 8x3y-5xz3?
5xZ3
Any nonzero integer divided by 0 equals 0?
No. Division by 0 is not permitted.
What is a polynomial with a single root at x equals 2 and a double root at x equals 5?
That would be (x - 2) ( x - 5) ( x - 5). If you like, you can multiply these polynomials to get a single polynomial in standard form (i.e., not factored).
If one root of a polynomial equals 3 plus 15i what will its other root be?
4-17i
Is it false if a polynomial is divided by (x-a) and the remainder equals zero then (x-a) is a factor of the polynomial?
No, it’s true. It’s the same as saying if 60 is divided by 2 and the remainder equals zero (no remainder, so it divides perfectly), 2 is a factor of 60.
