Based only on the given information,it is guaranteed that ad=db

Solved

Show answers

Ответ:

hfrench5130

04.04.2021

Mathematics

Answers:

Smaller x value = -3Larger x value = -1

===============================================================

Explanation:

Apply the derivative (see attached image for the steps)

You should get $\frac{dy}{dx} = -\frac{1}{(x+2)^{2}}\\\\$

The line y = x is really y = 1x+0. We see that it's in the form y = mx+b with m = 1 as the slope. The negative reciprocal of this is m = -1, which is the perpendicular slope. As a rule, any two perpendicular lines always have their slopes multiply to -1 as long as neither line is vertical or horizontal.

So we want the derivative we just found to be set equal to -1, that way we have the x value lead to this derivative slope value.

We want dy/dx = -1

In short, the equation we need to solve is $-\frac{1}{(x+2)^{2}} = -1\\\\$

Let's solve for x

$-\frac{1}{(x+2)^{2}} = -1\\\\\frac{1}{(x+2)^{2}} = 1\\\\(x+2)^{2} = 1\\\\x+2 = \pm\sqrt{1}\\\\x+2 = \pm1\\\\x+2 = 1 \ \text{ or } \ x+2 = -1\\\\x = -2+1 \ \text{ or } \ x = -2-1\\\\x = -1 \ \text{ or } \ x = -3\\\\$

The smaller x value is -3 while the larger x value is x = -1.

Calculus I: Find the smaller and larger x value.

0,0(0 оценок)

Ask your question to the AI advisor

Ai-bot is an expert in any field and is the perfect companion for reliable and useful answers and advice on a variety of topics, including science, history, technology, art, sports, health, culture and more.

Ask your question

More tips

Answers on questions: Mathematics

Ask an AI advisor a question

I want advice