Let , so that differentiating both sides wrt gives
If and , the above reduces to
This is the slope of the tangent line, which has equation
Answer:
3 (-4,3)
Step-by-step explanation:
Answer:
C. I took the quiz
Step-by-step explanation:
There are two ways to work this out: normal variables or using "imaginary" numbers.
Normal variables:
Imaginary numbers:
Using the result from earlier:
Now since
, then the expression becomes:
Answer:
Sorry this is late and I think this is right.
They are both parallel, they have the same slope, and do <em>not </em>intersect. If you were to draw a slope out for it, you would find this to be true.
For example: Say the question called for you to explain why there aren't any solutions to these system of inequalities:
<em>y < - 1/2x -3</em>
<em>y > 1/2x + 2</em>
<em>y= -x/2 -3</em> and <em>y= -x/2 + 2 </em>have the same exact slope, are parallel, and never intersect. The first line is 5 units below the second line when x = 0. Because the lines are parallel, it is always below the second line. The solutions of y < - x/2 -3 are the points in the plane below the first line. The solutions of y > 1/2 + 2 are points above the second line.
I hope this helps you. Good luck on whatever you're working on and stay safe! Please let me know if this helped you or didn't.