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2 years ago

PPLLLLLLLLLLLLLLEEEEEEEEEEEAAAAAAAAAASSSSSSSSSSSSSEEEEEEEEEE Help

Mathematics

1 answer:

STALIN [3.7K]2 years ago

3 0

Answer:

its 35.

Step-by-step explanation:

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Determine whether or not F is a conservative vector field. If it is, find a function f such that F = ∇f. (If the vector field is

Elis [28]

In order for F to be conservative, there must be a scalar function f such that the gradient of f is equal to F. This means

$\dfrac{\partial f}{\partial x}=3x^2-2y^2$

$\dfrac{\partial f}{\partial y}=4xy+4$

Integrate both sides of the first equation with respect to x :

$f(x,y)=x^3-2xy^2+g(y)$

Differentiate both sides with respect to y :

$\dfrac{\partial f}{\partial y}=-4xy+\dfrac{\mathrm dg}{\mathrm dy}=4xy+4\implies\dfrac{\mathrm dg}{\mathrm dy}=8xy+4$

But we assume g is a function of y, which means its derivative can't possibly contain x, so there is no scalar function f whose gradient is F. Therefore F is not conservative.

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2 years ago

Francine ran 3 1/2 laps around the circular track in the school gym. The track has a diameter of 1/2 miles. About how far does F

Juliette [100K]

Answer:

Francine run 5.495 miles

Step-by-step explanation:

Given :

Francine ran $3\frac{1}{2}$ laps around the circular track in the school gym.

The track has a diameter of 1/2 miles.

To Find : About how far does Francine run?

Solution :

First we need to calculate the perimeter of circular track :

Perimeter of circle : $2\pi r$

Since we are given the diameter = 1/2 miles = 0.5 miles

So, Radius will be (Diameter/2) = 0.5/2 = 0.25 miles

So, The perimeter will be:

$2\pi *0.25$

$0.5\pi$

Since $\pi =3.14$

⇒ $0.5*3.14$

⇒ $1.57$

Thus the circular track is of 1.57 miles .

Since she ran $3\frac{1}{2}$ = 7/2=3.5 laps

1 lap = 1.57 miles

So, 3.5 laps = 1.57*3.5 =5.495 miles .

Hence , Francine run 5.495 miles

6 0

2 years ago

A circular rug has a diameter of 3 feet. Part A What is the area in square feet, of the rug rounded to the nearest whole number?

lidiya [134]

Answer:

7.069 ft²

Step-by-step explanation:

Given that:

Shape of rug = circular

Diameter of rug = 3 feets

The Area in square feet of the rug =?

Area of a circle :

πr²

r = Radius

r = diameter / 2 = 3 /2 = 1.5 feets

Area = π * 1.5^2

Area = 7.0685834

Area = 7.069 ft²

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2 years ago

Proportions and Similarity

nekit [7.7K]

$\bf \cfrac{length}{width}\qquad \qquad \stackrel{A}{\cfrac{4}{5}}\qquad \stackrel{B}{\cfrac{20}{25}}\implies \cfrac{4}{5}\qquad \checkmark$

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2 years ago

Round 62.686 to the nearest hundredth

agasfer [191]

The answer is 62.700 hope I Helped!

3 0

3 years ago

Read 2 more answers