Answer:
x^2 -12x+36
Step-by-step explanation:
x^2 – 12x
Take the coefficient of x
-12
Divide by 2
-12/2 = 6
Square it
6^2 = 36
We need to add 36 to make x^2 -12x a perfect square trinomial
x^2 -12x+36
The digit 4 is in the ten thousands place. Its value is 4 ten thousands, or 40,000. The digit 7 is in the tens place.
First: the homogeneous solutions: the characteristic equation is4r^2 - 4r - 3 = 0which has roots r = 3/2, -1/2 hence the homogeneous solution isy = c1.exp(-x/2) + c2.exp(3x/2)
next you need the general form for the guess for yp and that isyp = A1cos(2x) + A2sin(2x)
Now substitute that into the equation and solve for A1, A2.
Answer:
f(x) = x³ x>1
Step-by-step explanation:
2 8=2³
3 27=3³
4 64=4³
5 125=5³
f(x) = x³ x>1