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2 years ago

What is 2+4 (3-2) Using Distributive Property

Mathematics

1 answer:

Lubov Fominskaja [6]2 years ago

6 0

2+(12-8)
2+ (4)
The answer is 6

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Evaluate the integral Integral ∫ from (1,2,3 ) to (5, 7,-2 ) y dx + x dy + 4 dz by finding parametric equations for the line seg

n200080 [17]

$\vec F(x,y,z)=y\,\vec\imath+x\,\vec\jmath+3\,\vec k$

is conservative if there is a scalar function $f(x,y,z)$ such that $\nabla f=\vec F$ . This would require

$\dfrac{\partial f}{\partial x}=y$

$\dfrac{\partial f}{\partial y}=x$

$\dfrac{\partial f}{\partial z}=3$

(or perhaps the last partial derivative should be 4 to match up with the integral?)

From these equations we find

$f(x,y,z)=xy+g(y,z)$

$\dfrac{\partial f}{\partial y}=x=x+\dfrac{\partial g}{\partial y}\implies\dfrac{\partial g}{\partial y}=0\implies g(y,z)=h(z)$

$f(x,y,z)=xy+h(z)$

$\dfrac{\partial f}{\partial z}=3=\dfrac{\mathrm dh}{\mathrm dz}\implies h(z)=3z+C$

$f(x,y,z)=xy+3z+C$

so $\vec F$ is indeed conservative, and the gradient theorem (a.k.a. fundamental theorem of calculus for line integrals) applies. The value of the line integral depends only the endpoints:

$\displaystyle\int_{(1,2,3)}^{(5,7,-2)}y\,\mathrm dx+x\,\mathrm dy+3\,\mathrm dz=\int_{(1,2,3)}^{(5,7,-2)}\nabla f(x,y,z)\cdot\mathrm d\vec r$

$=f(5,7,-2)-f(1,2,3)=\boxed{18}$

8 0

2 years ago

Your auto insurance is $900 per quarter. What should you use as the monthly average? The auto insurance is a fixed expense, but

Airida [17]

Answer:

$225

Step-by-step explanation:

A quarter is made up of 4 months,

If auto insurance is $900 per quarter, the monthly expense would be $900 / 4 = $225

4 0

3 years ago

The left and right page numbers on an

liubo4ka [24]

The pages would be 166 and 167

7 0

3 years ago

Find the value of angle "A" and angle "B".

Daniel [21]

the anwser is 119

because 180-61 =119

3 0

2 years ago

Read 2 more answers

In nearby Missouri, slavery was .

Thepotemich [5.8K]

Answer:

Im only assuming, but the options may be
A) legal
B) illegal

Step-by-step explanation:

The correct answer is
A) legal

On edge, I did the assignment and it's right

8 0

2 years ago