Answer:
(a) f'(1)=-4
(b) y+4x-4=0
Step-by-step explanation:
<u>Tangent Line of a Function</u>
Given f(x) a real differentiable function in x=a, the slope of the tangent line of the function in x=a is given by f'(x=a). Where f' is the first derivative of f.
We are given

The derivative is

(a) The slope of the tangent line at (1,0) is


(b) The equation of the tangent line can be found with the general formula of the line:

Where m is the slope and the point (xo,yo) belongs to the line. We have m=-4, xo=1, yo=0, thus

Or, equivalently

The volume formula for a cone is V = 1/3 pi r^2 h. We have everything we need to find the volume. V = 1/3 pi 28^2* 44. Doing that math and leaving it in terms of pi you have that the volume is 11,498.67 pi units cubed. If you multiply pi in, the answer would be 36,123.06 units cubed.
Answer:
x=51.3 and y=3 and that is equal to 154 don't forget to put a bar notation in .3 in 51.3
Answer:
decagon = 10
nonagon = 9
dodecagon = 12
Step-by-step explanation: