2. f(x) = x - 2x² - 5 + 10x
=-2x² + 8x - 5
f'(x)= -4x + 8
4. y = 100(45x - 30 - 3x³ + 2x²)
= 100(-3x³ + 2x² + 45x -30)
= -300x³ + 200x² + 4500x - 3000
y' = -900x² + 400x + 4500
Answer:
90°
Step-by-step explanation:
The rotation pattern is y,-x so, this means that the angle is 90°
Answer:
3x(2x^2 +x-1)
Step-by-step explanation:
f(x) = 11x^3 + 3x^2 - 4x + 2,
g(x) = 5x^3 - 7x + 2,
f(x) - g(x) =11x^3+3x^2-4x+2 - (5x^3-7x + 2)=
11x^3+3x^2 -4x+2-5x^3+7x-2=
(11x^3-5x^3)+3x^2+(-4x+7x)+(2-2)=
6x^3 +3x^2 - 3x=
3x(2x^2 +x-1)
When a zero of a function does not cross the x-axis but touches it, this means that the zero is a "double root". It has two of the same factor (x - 4)^2 and two of the same zeros, x = 4 and x = 4
f(x) = x^2 - 8x + 16 would be the function with a double root at 4
