Answer:
9. -2
10. 0
Step-by-step explanation:
It is not undefined because the slope of horizontal lines are 0
Answer:
steps below
Step-by-step explanation:
f(x) = x⁷ – 6x⁶ + 8x⁵
f'(x) = 7x⁶ - 36x⁵ + 40x⁴
= x⁴ (7x² - 36x + 40) ... (1)
Critical point (x,y): x = 0 , x = (36 ± √(-36)²-4*7*40) / (2*7) = (18±2√11) / 7
x = 0 or x = 3.5 or x = 1.6
plug into (1): y = 0 , y = -394.3 , y = 10.1
extreme : <u>maximum (1.6 , 10.1)</u> <u>minimum (3.5 , -394.3)</u> ... turning points
x⁷ – 6x⁶ + 8x⁵ = x⁵ (x² - 6x + 8) = x⁵ (x-2) (x-4) =0
<u>real zeros: x = 0, x=2, x=4</u>
Answer:
C
Step-by-step explanation:
first of all, the correct factorization is
y = (x - 3)(x + 6)
because when we do the multiplication
y = x² + 6x - 3x - 18 = x² + 3x - 18
and then, the factorization tends us also directly the zero points, because y is only 0, when one of the factors is 0.
so, either x-3 or x+6 has to be 0 to make the whole expression 0.
and that is only for x=3 or x=-6
Answer:
A
Step-by-step explanation:
6 x 6 = 36
10 x 10 = 100
Vector is a quantity having magnitude as well as direction
its important because these are best way to relate a relationship between speed acceleration velocity etc
and helps to understand how the world that is around u behave
so vectors are really important
hope it helps