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3 years ago

I need help with 1,2,3 and 4 please

Mathematics

1 answer:

Romashka [77]3 years ago

7 0

I cant see the question 1 sorry:(

2. x=71(base angle, isos. triangle)
3. x=45 (same reason as the above)
4. the third one

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Which choice shows the coordinates of C' if the trapezoid is reflected across the y-axis?

nirvana33 [79]

Answer:

(5,3)

Step-by-step explanation:

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3 years ago

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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:

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

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

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3 years ago

A basketball coach has a bag containing 2 red, 5 orange, and 3 brown basketballs. The coach takes 2 basketballs from the bag for

Ronch [10]

Answer:

30%

Step-by-step explanation:

You add the total number of balls, which is 10. and then it is asking for brown balls and looking at the equation you know there are 3. so 3/10 is .30 which is 30%

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Help! (tell me if you can’t see it)

Anna35 [415]

Answer:

B. y=7x+3

Step-by-step explanation:

You find the changes of y over the changes of x. y sub 2 - y sub 1 divided by x sub 2 over x sub 1. So, 17 - 10 over 2 - 1 = 7. 3 is the y-intercept. y=7x+3

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3 years ago

Given the equation 8x=4Y +16 ,generate a plan to rewrite it in slope-intercept form WHICH VARIABLE DO YOU SOLVE FOR?

andriy [413]

Answer:

you switch 8x and 4y by subtracting 8x to 4y + 16 and substracting 4y to 8x.

This gives you the equation -4y = -8x+16

Then you divide each side by -4

To give you your slope-intercept form which is y = 2x-4.

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2 years ago