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
-22+(x/35)=-25
add 22 to both sides
x/35=-3
multiply both sides by 35 to cleaf raction
x=-105
number was -105
Total Volume of pepsi in this pack of 12 is 244.3308 in³.
Given:
12 Cylindrical can
radius of 1.25 in
height of 4.15 in
Find total volume:
Volume = π r² h where π = 3.14
V = 3.14 * (1.25in)² * 4.15 in
V = 3.14 * 1.5625 in² * 4.15 in
V = 20.3609 in³
Volume of 20.3609 in³ is only good for one can. There are 12 cans.
Total Volume = 20.3609 in³ x 12 cans = 244.3308 in³
Let’s start with -4(-3x + 11) so, -4•-3x is 12x,because multiplying 2 negatives creates a positive. As for -4•11, it is -44. So, it should be 12x + -44. I hope this helps!
S=6
Solution
6/2=3
(6*4)=24
24-21=3
