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leva [86]
2 years ago
15

Find X. round to the nearest tenth. Pls help I’m taking a quiz i’ll give brainliest

Mathematics
1 answer:
ANTONII [103]2 years ago
8 0

Answer:

i think its c

Step-by-step explanation:

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Find the work done by F= (x^2+y)i + (y^2+x)j +(ze^z)k over the following path from (4,0,0) to (4,0,4)
babunello [35]

\vec F(x,y,z)=(x^2+y)\,\vec\imath+(y^2+x)\,\vec\jmath+ze^z\,\vec k

We want to find f(x,y,z) such that \nabla f=\vec F. This means

\dfrac{\partial f}{\partial x}=x^2+y

\dfrac{\partial f}{\partial y}=y^2+x

\dfrac{\partial f}{\partial z}=ze^z

Integrating both sides of the latter equation with respect to z tells us

f(x,y,z)=e^z(z-1)+g(x,y)

and differentiating with respect to x gives

x^2+y=\dfrac{\partial g}{\partial x}

Integrating both sides with respect to x gives

g(x,y)=\dfrac{x^3}3+xy+h(y)

Then

f(x,y,z)=e^z(z-1)+\dfrac{x^3}3+xy+h(y)

and differentiating both sides with respect to y gives

y^2+x=x+\dfrac{\mathrm dh}{\mathrm dy}\implies\dfrac{\mathrm dh}{\mathrm dy}=y^2\implies h(y)=\dfrac{y^3}3+C

So the scalar potential function is

\boxed{f(x,y,z)=e^z(z-1)+\dfrac{x^3}3+xy+\dfrac{y^3}3+C}

By the fundamental theorem of calculus, the work done by \vec F along any path depends only on the endpoints of that path. In particular, the work done over the line segment (call it L) in part (a) is

\displaystyle\int_L\vec F\cdot\mathrm d\vec r=f(4,0,4)-f(4,0,0)=\boxed{1+3e^4}

and \vec F does the same amount of work over both of the other paths.

In part (b), I don't know what is meant by "df/dt for F"...

In part (c), you're asked to find the work over the 2 parts (call them L_1 and L_2) of the given path. Using the fundamental theorem makes this trivial:

\displaystyle\int_{L_1}\vec F\cdot\mathrm d\vec r=f(0,0,0)-f(4,0,0)=-\frac{64}3

\displaystyle\int_{L_2}\vec F\cdot\mathrm d\vec r=f(4,0,4)-f(0,0,0)=\frac{67}3+3e^4

8 0
3 years ago
3<br> ..<br> 4) through: (-2,5), slope<br> 2.
ArbitrLikvidat [17]

Answer:

y - 5 = 2(x + 2)

General Formulas and Concepts:

Point-Slope Form: y - y₁ = m(x - x₁)  

x₁ - x coordinate

y₁ - y coordinate

m - slope

Step-by-step explanation:

<u>Step 1: Define</u>

Slope <em>m</em> = 2

Point (-2, 5)

<u>Step 2: Create equation</u>

y - 5 = 2(x + 2)

8 0
3 years ago
What value does the 7 represents in the number 94.087?<br>​
Roman55 [17]

0.007, also known as the thousandths place in decimals.

7 0
3 years ago
Read 2 more answers
Use the graph of the function f(x) to complete the statements below.
vovangra [49]
The answer is f12 submit 8765
4 0
2 years ago
Over the last 40 years, the percent decrease in egg consumption in the U.S. is 35%. Forty years ago, the average consumption was
Kisachek [45]

Answer:

260 eggs per person per year.

Step-by-step explanation:

We have been given that over the last 40 years, the percent decrease in egg consumption in the U.S. is 35%. Forty years ago, the average consumption was 400 eggs per person per year.

To find the average consumption of eggs today, we will find 65% (100%-35%) of 400.

\text{The average consumption of eggs today}=\frac{65}{100}\times 400

\text{The average consumption of eggs today}=65\times 4

\text{The average consumption of eggs today}=260

Therefore, the average consumption of eggs today is 260 eggs per person per year.

7 0
3 years ago
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