Step 1: Find f'(x):
f'(x) = -6x^2 + 6x
Step 2: Evaluate f'(2) to find the slope of the tangent line at x=2:
f'(2) = -6(2)^2 + 6(2) = -24 + 12 = -12
Step 3: Find f(2), so you have a point on y=f(x):
f(2) = -2·(2)^3 + 3·(2)^2 = -16 + 12 = -4
So, you have the point (2,-4) and the slope of -12.
Step 4: Find the equation of your tangent line:
Using point-slope form you'd have: y + 4 = -12 (x - 2)
That is the equation of the tangent line.
If your teacher is picky and wants slope-intercept, solve that for y to get:
y = -12 x + 20
$8,750
(25000*.35)
Multiply
Answer:
A 21 /169
B independent
Step-by-step explanation:
The total number of candies is 7+3+3 = 13
P( 1st red) = red/total = 7/13
Since the candy is put back there are still 13 candies in the dish
P(2nd green) = green/total = 3/13
P( red, then green) = P( 1st red) * P(2nd green)
= 7/13* 3/13 = 21/169
The events are independent since the candies are put back
8 costs 40 so 10 costs | 40 / 8 = ( 5*2=10) So your answer is 50 Dollars.
