(X^3-27) divided by (x-3)
1.6667
2x3 - 7 + 5x - x3 + 3x - x3 = 8x - 7
[ x3 - 4x2 + 7x ] / (x) = x2 - 4x + 7
x/3
I will use the quotient rule here. d/dx(f(x)/g(x) = g(x)*f'(x) - f(x)*g'(x)/[g(x)]2 x3*1/x - ln(x)*3x2/(x3)2 x3/x - 3ln(x)x2/x6 x2 - 3ln(x)x2/x6 = - 3ln(x)/x4 =========
1.6667
The inverse of a number is 1 divided by that number. So the inverse of x3 + 1 is 1/(x3 + 1).
The answer to x4+x3-14x2+4x+6 divided by x-3 is x3+4x2-2x-2
0.3333
(-x3 + 75x - 250) / (x + 10) = x2 - 10x - 25
4
To demonstrate that the function x3 is in the set o(x4), you can show that the limit of x3 divided by x4 as x approaches infinity is equal to 0. This indicates that x3 grows slower than x4, making it a member of the set o(x4).
x3 /12 + 16x + c
6x3/12x = 6/12 * x3/x = 0.5*x2
2x2+7/x1
Dividend: 4x4-x3+17x2+11x+4 Divisor: 4x+3 Quotient: x3-x2+5x-1 Remainder: 7
(x3 + 4x2 - 3x - 12)/(x2 - 3) = x + 4(multiply x2 - 3 by x, and subtract the product from the dividend)1. x(x2 - 3) = x3 - 3x = x3 + 0x2 - 3x2. (x3 + 4x2 - 3x - 12) - (x3 + 0x2 - 3x) = x3 + 4x2 - 3x - 12 - x3 + 3x = 4x2 - 12(multiply x2 - 3 by 4, and subtract the product from 4x2 - 12)1. 4x(x - 3) = 4x2 - 12 = 4x2 - 122. (4x2 - 12) - (4x2 - 12) = 4x2 - 12 - 4x2 + 12 = 0(remainder)