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: 3/25 and 9/20
Step-by-step explanation:
We take the number and covert it into a fraction
A 2 digit Numerator = a 3 digit denominator
A 3 digit Numerator = a 4 digit denominator
And so on...
Then We can reduce,
45/100 = 9/20
120/1000 = 3/25
Hope this helped!
Step-by-step explanation:
(23)2-5=6
23 3 =6
so it goanna be 2raise to power 3x equal6
Answer: OPTION C
Step-by-step explanation:
By definition, the median is the middle number in the set.
Therefore, keeping the definition above on mind, to solve this problem the numbers must be arranged from least to greastest. In the figure shown in the problem, you can see that they are already arranged in this order. Therefore, the middle number in the set is:
14, 28, 33, 42, 53, 81, 97
Then, you can conclude that the median is: 42.
Therefore, the answer is the Option C.
