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Cloud [144]
3 years ago
14

Which box plor represents a set of data that has the greatest mean absolute deviation?

Mathematics
1 answer:
Degger [83]3 years ago
7 0

Answer:

the last box represents a set of data

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2 less than 3 times a number greater than 10. Write as inequality
vesna_86 [32]

Answer:

2<3x>10

Step-by-step explanation:

2<3x>10

6 0
3 years ago
Consider F and C below. F(x, y, z) = y2 sin(z) i + 2xy sin(z) j + xy2 cos(z) k C: r(t) = t2 i + sin(t) j + t k, 0 ≤ t ≤ π (a) Fi
Liono4ka [1.6K]

Answer:

a) f (x,y,z)= xy^2\sin(z)

b) \int_C F \cdot dr =0

Step-by-step explanation:

Recall that given a function f(x,y,z) then \nabla f = (\frac{\partial f}{\partial x},\frac{\partial f}{\partial y},\frac{\partial f}{\partial z}). To find f, we will assume it exists and then we will find its form by integration.

First assume that F = \nabla f. This implies that

\frac{\partial f}{\partial x} = y^2\sin(z) if we integrate with respect to x we get that

f(x,y,z) = xy^2\sin(z) + g(y,z) for some function g(y,z). If we take the derivative of this equation with respect to y, we get

\frac{\partial f}{\partial y} = 2xy\sin(z) + \frac{\partial g}{\partial y}

This must be equal to the second component of F. Then

2xy\sin(z) + \frac{\partial g}{\partial y}=2xy\sin(z)

This implies that \frac{\partial g}{\partial y}=0, which means that g depends on z only. So f(x,y,z) = xy^2\sin(z) + g(z)

Taking the derivative with respect to z and making it equal to the third component of F, we get

xy^2\cos(z)+\frac{dg}{dz} = xy^2\cos(z)

which implies that \frac{dg}{dz}=0 which means that g(z) = K, where K is a constant. So

f (x,y,z)= xy^2\sin(z)

b) To evaluate \int_C F \cdot dr we can evaluate it by using f. We can calculate the value of f at the initial and final point of C and the subtract them as follows.

\int_C F \cdot dr = f(r(\pi))-f(r(0))

Recall that r(\pi) = (\pi^2, 0, \pi) so f(r(\pi)) = \pi^2\cdot 0 \cdot \sin(\pi) = 0

Also r(0) = (0, 0, 0) so f(r(0)) = 0^2\cdot 0 \cdot \sin(0) = 0

So \int_C F \cdot dr =0

5 0
3 years ago
Find <br> 6<br> 2<br> (<br> 9<br> )<br> . Express your answer as a fraction in simplest form.
kotykmax [81]

Based on the expression given, when it is solved, as a fraction in its simplest form it would be 558/1.

<h3>What is the fraction in its simplest form?</h3>

The expression, 62(9) can be rewritten as:

= 62 x 9

This is because the brackets denote that the number within the brackets should be multiplied by the number outside the bracket.

The solution is:

= 62 x 9

= 558

As this is an integer, it means that it has a denominator of 1. The fraction in its simplest form is therefore:

= 558 / 1

Find out more on fractions in their simplest forms at brainly.com/question/18069

#SPJ1

6 0
2 years ago
3 / 1/3 dividend by 1 / 1/5​
Kisachek [45]
The answer for this question is 0.2
7 0
3 years ago
How do i solve 426 to the nearest ten
Dmitry [639]
Youll need to provide more information
4 0
3 years ago
Read 2 more answers
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