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3 years ago

13

I need help with this asap! i will give brainliest :) (image included)

2 answers:

trasher [3.6K]3 years ago

5 0

7 x 3 = 21 so it is 21 ft cm your welcome

BabaBlast [244]3 years ago

5 0

Answer:

The answer is C = 63π

Step-by-step explanation:

V = πr2 h

V = π (3)2 x 7

V = π (9) (7)

V = 63 π

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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

Ms. Ramo's thumb measures 4 cm. Express this length in meters

Natalija [7]

Answer: 0.04 meters

Step-by-step explanation:

Convert cm to meters by dividing the length by 100.

4/100= = 0.04

6 0

4 years ago

Read 2 more answers

A pet store sells tropical fish. One week they sell 15 anglefish, 9 tetras, 42 guppies. The owner uses ratios of sales to compar

Ivahew [28]

Answer: 15:42or simplified 5:14

Step-by-step explanation:

15 angelfish to 42 guppies

15/3= 5

42/3=14

so the ratio of 15:42 is equal to 5:14

5 0

3 years ago

Use the system 4x -2y=21, y - 2x =10. Write each equation in slope intercept form. Compare the slopes and y-intercepts. Make a c

Korvikt [17]

Answer:

its no solutions

Step-by-step explanation:

because u solve the 1st varibles in one of the equations,then subsitute the results into the other equations

6 0

3 years ago

Identify how the Virginia declaration of rights helped lead to an expansion of civil rights both in the state of Virginia and la

-BARSIC- [3]

Answer:

yeah

Step-by-step explanation:

wrong subject dude

things go wrong sometimes

you lost 46 points

$\lim_{n \to \infty} a_n$

7 0

3 years ago