Explanation
We must the tangent line at x = 3 of the function:
The tangent line is given by:
Where:
• m is the slope of the tangent line of f(x) at x = h,
,
• k = f(h) is the value of the function at x = h.
In this case, we have h = 3.
1) First, we compute the derivative of f(x):
2) By evaluating the result of f'(x) at x = h = 3, we get:
3) The value of k is:
4) Replacing the values of m, h and k in the general equation of the tangent line, we get:
Plotting the function f(x) and the tangent line we verify that our result is correct:
Answer
The equation of the tangent line to f(x) and x = 3 is:
To get the volume, you need the area of the sides of the square.
The total surface area is 96, with 6 sides. To get the surface area of just one side, divide 96 by 6, which gets you 16. The surface area of a single square is 16. To get one side of the square, divide that by 4 because there are 4 sides.
Now, multiply 16 by 4 to get the volume.
The volume is 64 cubed milllimeters.
brainlieest?
Also i hope this helped
Answer:
-17-17,-17,-17,-14,-14,-14,-14,6,6,6,6
Step-by-step explanation:
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Ok.You have 24$. You used 20$. And you have $4 left. You bought 5 pens. So $20.00/ 5=$4.00. Each pen is four dollars.
1. x = 1 2. x = -30 3. x = -2 4. x = 15 5. x = 7, y = 11 6. x = 4, y = 1
7. x = 1/2, y = 25/5 8. x = 1/4, y = 11/2
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