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2 years ago

Problem Set

Mathematics

1 answer:

Artemon [7]2 years ago

8 0

Answer:

3 < x < 13

Step-by-step explanation:

Triangle Inequality Theorem

The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

Let x be the length of the unknown side.

Therefore, x will either be the longest side or one of the shorter sides.

Therefore:

x < 5 + 8

⇒ x < 13

And:

8 < 5 + x

⇒ 3 < x

So the range of possible values of the third side is greater than 3 and less than 13: 3 < x < 13

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Write five other iterated integrals that are equal to the given iterated integral. 8 0 x2 0 y f(x, y, z) dz dy dx 0

mash [69]

An iterated integral is the outcome of taking integrals toward a function of more than one variable in such a way that part of the variables is treated as constants for each of the integrals.

From the given parameters, we are to write out five iterations for a triple integral;

$\mathbf{\int ^8_0\ \int^{x^2}_{0} \ \int^y_0 \ \ f(x, y, z) \ dz dy dx }$

where;

the region is bounded by 0 ≤ z ≤ y, 0 ≤ y ≤ x², 0 ≤ x ≤ 8.

Thus, since x, y, z are functions of at least one variable, we can have the following iterations:

$\mathbf{\int^{64}_{0} \ \int^{8}_{\sqrt{y}} \ \int^{y}_{0} \ \ f(x,y,z) dz dxdy}$

$\mathbf{\int^{64}_{0} \ \int^{y}_{0} \ \int^{8}_{\sqrt{y}} \ \ f(x,y,z)\ dxdzdy}$

$\mathbf{\int^{64}_{0} \ \int^{64}_{z} \ \int^{8}_{\sqrt{y}} \ \ f(x,y,z)\ dxdydz}$

$\mathbf{\int^{8}_{0} \ \int^{x^2}_{0} \ \int^{x^2}_{z} \ \ f(x,y,z)\ dydzdx}$

$\mathbf{\int^{64}_{0} \ \int^{8}_{\sqrt{z}} \ \int^{x^2}_{z} \ \ f(x,y,z)\ dydxdz}$

Learn more about iterated integrals here:

brainly.com/question/7009095

4 0

2 years ago

1) State the area of the given trapezoid.

ZanzabumX [31]

Answer:

Step-by-step explanation:

5m+5m8m+4m=24m2 of the primeter

8 0

3 years ago

Y-13 = 18, {21,31,41,51}

oee [108]

The answer is 31 ,,,,,,

3 0

3 years ago

Read 2 more answers

Evaluate. 10*10+6⋅7+8 70 142 150 190

algol [13]

Hi there! :)

Answer:

=150

*The answer must have a positive sign.*

Step-by-step explanation:

<h2>Lesson: Order of operations</h2>

Stands for:

Parenthesis

Exponents

Multiply

Divide

Add

Subtract

Left to right.

First, you do multiply from left to right.

$10*10=100$

$100+6*7+8$

$6*7=42$

$100+42+8$

Then, you add from left to right.

$100+42+8$

$100+42=142$

$142+8=150$

Final answer is 150

I hope this helps you!

Have a nice day! :)

-Charlie

8 0

3 years ago

En las competencias de atletismo hay 120 participantes; 30 en la prueba de 100 m, 50 en la de 200 m y 40 en la carrera de relevo

IceJOKER [234]

Answer:

120 by the questiom we have tl do plus or not

7 0

3 years ago