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3 years ago

Represent each of these relations on {1, 2, 3} with a matrix (with the elements of this set listed in increasing order).

Mathematics

1 answer:

Maru [420]3 years ago

4 0

Answer:

(1 1), (1 2), (1 3), (2 2), (2 3) (3 3)

Step-by-step explanation:

discrete mathematics

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Use the definition of continuity and the properties of limit to show that the function f(x)=x sqrtx/ (x-6)^2 is continuous at x=

jasenka [17]

Answer:

The function $\\ f(x) = \frac{x*\sqrt{x}}{(x-6)^{2}}$ is continuous at x = 36.

Step-by-step explanation:

We need to follow the following steps:

The function is:

$\\ f(x) = \frac{x*\sqrt{x}}{(x-6)^{2}}$

The function is continuous at point x=36 if:

The function $\\ f(x)$ exists at x=36.
The limit on both sides of 36 exists.
The value of the function at x=36 is the same as the value of the limit of the function at x = 36.

Therefore:

The value of the function at x = 36 is:

$\\ f(36) = \frac{36*\sqrt{36}}{(36-6)^{2}}$

$\\ f(36) = \frac{36*6}{900} = \frac{6}{25}$

The limit of the $\\ f(x)$ is the same at both sides of x=36, that is, the evaluation of the limit for values coming below x = 36, or 33, 34, 35.5, 35.9, 35.99999 is the same that the limit for values coming above x = 36, or 38, 37, 36.5, 36.1, 36.01, 36.001, 36.0001, etc.

For this case:

$\\ lim_{x \to 36} f(x) = \frac{x*\sqrt{x}}{(x-6)^{2}}$

$\\ \lim_{x \to 36} f(x) = \frac{6}{25}$

Since

$\\ f(36) = \frac{6}{25}$

And

$\\ \lim_{x \to 36} f(x) = \frac{6}{25}$

Then, the function $\\ f(x) = \frac{x*\sqrt{x}}{(x-6)^{2}}$ is continuous at x = 36.

8 0

3 years ago

Two sides of a triangle measure 5 inches and 9 inches. Which of the following is a measure of a possible 3rd side of the triangl

svet-max [94.6K]

Answer:

B. 5 inches

Step-by-step explanation:

This is because of the triangle inequality theorem which states "The sum of the lengths of any two sides of a triangle is greater than the length of the third side." So, since 5+9 is 14 it has to be less than 14. Also, because 5+2 is 7 and that is not greater than 9 it has to be 5 inches.

4 0

3 years ago

Read 2 more answers

If 8g=96, then g equals

ololo11 [35]

Answer:

Step-by-step explanation:

$8g=96\qquad\text{divide both sides by 8}\\\\\dfrac{8g}{8}=\dfrac{96}{8}\\\\g=12$