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3 years ago

What is the sum of the following equatiioin? 10x+20y+5x=?

Mathematics

2 answers:

Novay_Z [31]3 years ago

7 0

Answer:

15x+20y

Step-by-step explanation:

first you would add 10x and 5x to get 15x

then you will have 20y on its own

after that just put in numerical order whith "x" first before "y"

Vsevolod [243]3 years ago

4 0

Answer:

15x + 20y

Step-by-step explanation:

First, we need to combine like terms,

10x + 20y + 5x

15x + 20y

Since x and y are different variables, we cannot combine them, meaning that the answer is,

15x + 20y

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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

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

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

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(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:

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

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

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3 years ago

Whoever answers CORRECTLY with NO file gets brainliest.

Ket [755]

Answer:

<em>Hope that helps!</em>

Step-by-step explanation:

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