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3 years ago

12

Is 1/2 gallon greater than 5/8 gallon?

1 answer:

GalinKa [24]3 years ago

7 0

No 5/8 is bigger because half of 8 is 4 and 5 is greater than 4

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Miguel is making trail mix. He uses 5 1/3 ounces of nuts and 2 3/4 ounces of raisins. Which

Lady_Fox [76]

It doesn’t show which options?
But the difference would be 2 7/12 or 2.58

4 0

3 years ago

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

2(3²+4²)=? <br><br><br><br><br> WHATS THE ANSWER

yulyashka [42]

Answer:

50

Step-by-step explanation:

P- Parenthesis

E- Exponents

M- Multiplication

D- Division

A- Addition

S- Subtraction

(3²+4²)

3*3= 9 4*4= 16 16+9= 25 2(25) 25*2= 50

Hope this helped! (ﾉ◕ヮ◕)ﾉ*:･ﾟ✧

( ﾟдﾟ)つ Bye

7 0

3 years ago

Look at points C and D on the graph: HOW U PUT A PHOTO :=)

professor190 [17]

Answer:

6.71

Step-by-step explanation:

If you want to put picture i would recommend using your phone to do it. :]

3 0

3 years ago

Scott bought a 50-pound (b) bag of corn He sprinkle 125 Ihs of the common the ground and

gulaghasi [49]

Answer:

C. 37.8 lb

Step-by-step explanation:

3 0

3 years ago