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3 years ago

Pls help I already did G I just need help on J

Mathematics

1 answer:

olya-2409 [2.1K]3 years ago

5 0

Answer: -3

-3(0)-1=-1

-3(-4)-1=11

-3(-6)-1=17

I hope this is good enough:

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For each of the following vector fields F , decide whether it is conservative or not by computing the appropriate first order pa

Mazyrski [523]

Answer:

(a)

Conservative

(b)

Not conservative

(c)

Conservative.

Step-by-step explanation:

(a)

$\mathbf{F}(x,y) = (-10x+7y,7x+6y)$

Notice that

$\frac{\partial\mathbf{F}_y}{\partial x} = 7$

and

$\frac{\partial\mathbf{F}_x}{\partial y} = 7$

Therefore the field is conservative.

(b)

Notice that

$\mathbf{F}(x,y) = (-5y,-4x)$

and

$\frac{\partial\mathbf{F}_y}{\partial x} = -4$

but

$\frac{\partial\mathbf{F}_x}{\partial y} = -5$

Therefore is not conservative.

(c)

Notice that

To prove that the vector field is conservative you have to compute the curl of the vector field and you would get that.

$\mathbf{F}(x,y,z) = (-5x,-4y,1)$

$\nabla \times \mathbf{F} = (0,0,0)$

Therefore your vector field is conservative.

6 0

3 years ago

A triangle has two sides of length 5 and 12. what value could the length of the third side be? More then one can be correct.

jeyben [28]

$Condition\ for\ existing\ triangle\\\\
a,b,c- sides\ of\ triangle\\\\
a+b>c\\a+c>b\\b+c>a\\
5+12=17\\\\
a)\ 712 \ , 7+12>5 \\
b)\ 512\\c)19\not5 \\\Third \side\ can\ be\ a,e,f
$

5 0

3 years ago

Verbal contracts are generally discouraged because

Marrrta [24]

Answer:

Step-by-step explanation:

sorry if wrong

8 0

3 years ago

Read 2 more answers

. The ratio of the area of circle A to the area of circle B is 12/5. What is the ratio of their circumferences?

N76 [4]

Answer:

1.5

Step-by-step explanation:

a : b = 1 : 12/5

Area of a circle = πr²

Where : = π = pi = 22/7

R = radius

Let the radius of circle a = 1

Area of circle A = 1π

Radius of circle A = square root of 12/5 = 1.5

The circumference of a circle = 2nr

n = 3.14

circumference of circle A = 2 x n x 1 = 2n

circumference of circle B = 2 x n x 1.5 = 3n

ratio of circumference = 3n / 2n = 1.5

4 0

3 years ago

Scientists found that a certain particle of dust doubles every 30 minutes. If the scientists tests this out with 21 grams of the

monitta

Answer: $1.663\times 10^{30}\ gm$

Step-by-step explanation:

Given

Population of dust particle doubles every 30 minutes

If the initial sample is 21 grams

The model to predict the population will be

$\Rightarrow P=21\cdot 2^{2t}$

Where t=time in hours

A day has 24 hours . So, for 2 days time is 48 hours

Population is given by

$\Rightarrow P=21\cdot 2^{2\times 48}\\\\\Rightarrow P=21\times 2^{96}\\\\\Rightarrow P=1.663\times 10^{30}\ gm$

7 0

3 years ago