If you use n terms from the Taylor expansion, the absolute value of the error is less than [|x|^(2n+1)]/(2n+1)!
If you use n terms from the Taylor expansion, the absolute value of the error is less than [|x|^(2n+1)]/(2n+1)!
If you use n terms from the Taylor expansion, the absolute value of the error is less than [|x|^(2n+1)]/(2n+1)!
If you use n terms from the Taylor expansion, the absolute value of the error is less than [|x|^(2n+1)]/(2n+1)!
If you use n terms from the Taylor expansion, the absolute value of the error is less than [|x|^(2n+1)]/(2n+1)!
No.
Try the quadratic formula. X = -b ± (sqrt(b^2-4ac)/2a)
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diameter = circumference/pi (pi = 3.14159265 or 3.14 for rough approximation).
The remainder theorem states that if you divide a polynomial function by one of it's linier factors it's degree will be decreased by one. This theorem is often used to find the imaginary zeros of polynomial functions by reducing them to quadratics at which point they can be solved by using the quadratic formula.
No.
Try the quadratic formula. X = -b ± (sqrt(b^2-4ac)/2a)
From the Division Algorithm for Polynomials theorem,f(x) = q(x)g(x) + r(x) or we say:dividend = (quotient)(divisor) + (remainder)In our case,quotient = x^2 - 5x - 6; divisor = x - 3; and remainder = 5.Substitute what you know into the formula, and you will have:f(x) = (x^2 - 5x - 6)(x - 3) + 5f(x) = x^3 - 5x^2 - 6x - 3x^2 + 15x + 18 + 5f(x) = x^3 - 5x^2 - 3x^2 - 6x + 15x + 18 + 5f(x) = x^3 - 8x^2 + 9x + 23 (this is the required polynomial)
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false
There is no element that corresponds to the abbreviation Ln. The closest approximation to this chemical formula is ZnCl2, or zinc chloride.
diameter = circumference/pi (pi = 3.14159265 or 3.14 for rough approximation).
If you mean for wire, the following link has both an exact formula, and a close approximation (with a simpler formula): http://en.wikipedia.org/wiki/American_wire_gauge#Formula
It is 1/3, not 0.33 which is an approximation. The derivation of this formula requires knowledge of integration. For basic mathematical details follow the link below.
There is a formula for the difference of squares. In this case, the answer is (C + D)(C - D)