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

A=27.18
There is a photo showing the answer and the formula and stuff hope this helps
<span>2x + 8 > 10
Subtract 8 from both sides
2x>2
Divide 2 on both sides
Final Answer: x>1</span>
The number of feet of wood that is needed is given as 35 feet of wood.
<h3>How to solve for the wood</h3>
We have to do this through the use of pythagoras theorem
a² = b² + c²
8² + 6²
a = √100
= 10
4² + 6²
= 52
a = √52
Then we would have
10 + 10 + √52 + √52
= 34.42
This is approximately 35 feet
The feet of wood that is needed is given as 35 feet
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Answer:
A) 161 feet
Step-by-step explanation:
h(3) = -16(3)² + 70(3) + 95 = 161