∫x3ex4 dx = 1/4ex4 + c To solve, let y = x4, then: dy = 4x3 dx ⇒ 1/4dy = x3 dx ⇒ ∫x3ex4 dx =∫ex4 x3 dx = ∫ey 1/4 dy = 1/4ey + c but y = x4, thus: = 1/4ex4 + c
For example, (x3)(x4) = (x3+4) = x7 Also, (x5)2 = x(5)(2) = x10
x2 • (5x2 + x + 8)
To find p(x) / q(x), we first need to substitute the expressions for p(x) and q(x) into the formula. So, p(x) = 20x^5 - 20x^4 + 24x^2 and q(x) = 4x^2. Therefore, p(x) / q(x) = (20x^5 - 20x^4 + 24x^2) / 4x^2. Simplifying this expression, we get 5x^3 - 5x^2 + 6.
The answer is (no.) x3 = (no. 2) - 1 = (no. 3) x3= (no.4) x4 and so on... 1 x 3 = 3 - 1 = 2 x 3 = 6 - 1 = 5 x 3 = 15 - 1 = 14 x 3 = 42 - 1 = 41. :D Hope i helped
x4 - 1.We can not "solve" this as we have not been told the value of x. However, we can simplify this expression:We have an x and a minus x here which will cancel out. Likewise the x2 and x3 will cancel out with the -x2 and -x3 respectively. This therefore leaves us with just x4 - 1.
Greatest common factor of x4 and x3 is x3.
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).
The answer to x4+x3-14x2+4x+6 divided by x-3 is x3+4x2-2x-2
(x4 + y4)/(x + y) = Quotient = x3 - x2y + xy2 - y3 Remainder = - 2y4/(x+y) So, x3 - x2y + xy2 - y3 - 2y4/(x+y)
It is a polynomial of the fourth degree in X.
(x - 1)(x4 + x3 + x2 + x + 1)
f'(x) = x^(3) / 3 Hence f(x) = 3x^(2) / 3 +C f(x) = x^(2) + C ' The '3' cancels out. The 'C' is a constant that comes with antoderivation.
x^4-x^3+x
d/dx(x4/4) = x3
x3 6x2-x-30
x5-1 = (x - 1)(x4 + x3 + x2 + 1)