Answer:
Decay
Step-by-step explanation:
The equation shown has a ratio(number raised to the power) less than 1, so therefore it is decay. This basically comes from the fact that if you raise a number less than 1 to a power, it become smaller than the number itself.
(In the cases talked about above, we are neglecting negative numbers)
Compute the derivative of <em>y</em> = (<em>x</em>² + <em>x</em> - 2)² using the chain rule:
d<em>y</em>/d<em>x</em> = 2 (<em>x</em>² + <em>x</em> - 2) d/d<em>x</em> [<em>x</em>² + <em>x</em> - 2]
d<em>y</em>/d<em>x</em> = 2 (<em>x</em>² + <em>x</em> - 2) (2<em>x</em> + 1)
Evaluate the derivative at <em>x</em> = -1 :
d<em>y</em>/d<em>x</em> (-1) = 2 ((-1)² + (-1) - 2) (2 (-1) + 1) = 4
This is the slope of the tangent line to the function at (-1, 4).
Use the point-slope formula to get the equation for the tangent line:
<em>y</em> - 4 = 4 (<em>x</em> - (-1)) → <em>y</em> = 4<em>x</em> + 8
Hi!
We can use <u>point-slope form </u>to solve this.
<em> and </em>
<em> will be from one of the points.</em>
<u>First, we have to find </u>
<u>, the slope. We can use the slope equation to get this.</u>
<em>Plug in your points:</em>
Your slope is 
<u><em>Now plug points and slope into point-slope equation. We will use (8, 4).</em></u>
Now, if you want to get it into y = mx + b form, you have to solve for y:
Your equation is
<u><em>For more information on how to get the equation of a line when given two points, see here:</em></u>
brainly.com/question/986503
Answer:
the first blank is frank
the second blank is $15
Step-by-step explanation:
Answer:
Step-by-step explanation:
I don't know
