All categories

3 years ago

Need help in b and c. show calculation pls.

Mathematics

1 answer:

stellarik [79]3 years ago

8 0

√(16 - x^2) is defined only for -4 ≤ x ≤ 4, and is continuous over this domain, so

$\displaystyle\lim_{x\to-4^+}\sqrt{16-x^2}=\sqrt{16-(-4)^2}=0$

From the other side, the limit does not exist, because all x < -4 do not belong to the domain.

Taken together, the two-sided limit also does not exist.

You might be interested in

What is the value of the function y=2x−3 when x=−1 ?

san4es73 [151]

Answer: First option is correct.

Step-by-step explanation:

Since we have given that

$y=2x-3$

We need to find the value of the function .

As we have given that x= - 1

so, we substitute the value of x in y :

$y=2x-3\\\\y=2(-1)-3\\\\y=-2-3\\\\y=-5$

So, the value of the function is -5.

Hence, First option is correct.

7 0

4 years ago

Read 2 more answers

Rationalize the denominator<br><br> 11/Square root of 5 - square root of 6

olasank [31]

Answer:

$-11\sqrt{5}-11\sqrt{6}$

Step-by-step explanation:

The given radical expression is;

$\frac{11}{\sqrt{5}-\sqrt{6}}$

We multiply both the numerator and the denominator by the conjugate of

$\sqrt{5}-\sqrt{6}$ which is $\sqrt{5}+\sqrt{6}$

$\frac{11(\sqrt{5}+\sqrt{6})}{(\sqrt{5}-\sqrt{6})(\sqrt{5}+\sqrt{6})}$

The denominator is now difference of two squares;

$\frac{11(\sqrt{5}+\sqrt{6})}{(\sqrt{5})^2-(\sqrt{6})^2}$

Simplify:

$\frac{11(\sqrt{5}+\sqrt{6})}{5-6}$

$\frac{11(\sqrt{5}+\sqrt{6})}{-1}$

$-11(\sqrt{5}+\sqrt{6})$

$-11\sqrt{5}-11\sqrt{6}$

8 0

4 years ago

What was tonights homework for math?

Mila [183]

Well, looks like your out of luck cause we are not your teacher and most likely we are not your classmates, but hope you don't fail bud

4 0

3 years ago

What does it mean in this situation if the average rate of change is negative?

WARRIOR [948]

It means that it is a rate that is decreasing or declining.

5 0

4 years ago

Read 2 more answers

I need help please!!!!?

evablogger [386]

The answer would be n<4 because 4 is greater than n.

7 0

3 years ago

Read 2 more answers

Need help in b and c. show calculation pls.​

Need help in b and c. show calculation pls.