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
Answer:
Step-by-step explanation:
Volume of the pyramid :
How many modes does the data set shown below contain?<br><br><br>
1, 3, 3, 4, 6, 6, 7, 7, 7, 10, 12
kipiarov [429]
Answer:
There are 3 modes
Step-by-step explanation:
There are two 3s, two 6s, and three 7s
The return trip was 21.2 hours long.
Step-by-step explanation:
Given,
Speed of plane from US = 212 mph
Speed of plane on return trip = 232 mph
Let,
x be the time taken on return trip.
Time taken from US = x+2
We know that;
Distance = Speed * Time
Distance of plane from US = 212(x+2) = 212x+424
Distance on return trip = 232x
As the distance will be same, therefore,
Dividing both sides by 20
The return trip was 21.2 hours long.
Keywords: distance, speed
Learn more about speed at:
#LearnwithBrainly
(b^2+5)(−b^2+7)
Use the FOIL METHOD to expand.
-b^4 + 7b^2 - 5b^2 + 35
-b^4 + 2b^2 + 35
Did you follow?
