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3 years ago

Plz chooses one more question because I already answered one

Mathematics

1 answer:

MrMuchimi3 years ago

4 0

Answer:

C and E

sorry for the late answer

<h3>Hope it helps!</h3><h3>Hope it helps!:)</h3>

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-2m(m + n - 4) + 5(-2m + 2n) + n(m + 4n - 5)

e-lub [12.9K]

I provided the answer in photo

6 0

3 years ago

Find dy/dx by implicit differentiation for ysin(y) = xcos(x)

tatyana61 [14]

Answer:

$\frac{dy}{dx}=\frac{\cos(x)-x\sin(x)}{\sin(y)+y\cos(y)}$

Step-by-step explanation:

So we have:

$y\sin(y)=x\cos(x)$

And we want to find dy/dx.

So, let's take the derivative of both sides with respect to x:

$\frac{d}{dx}[y\sin(y)]=\frac{d}{dx}[x\cos(x)]$

Let's do each side individually.

Left Side:

We have:

$\frac{d}{dx}[y\sin(y)]$

We can use the product rule:

$(uv)'=u'v+uv'$

So, our derivative is:

$=\frac{d}{dx}[y]\sin(y)+y\frac{d}{dx}[\sin(y)]$

We must implicitly differentiate for y. This gives us:

$=\frac{dy}{dx}\sin(y)+y\frac{d}{dx}[\sin(y)]$

For the sin(y), we need to use the chain rule:

$u(v(x))'=u'(v(x))\cdot v'(x)$

Our u(x) is sin(x) and our v(x) is y. So, u'(x) is cos(x) and v'(x) is dy/dx.

So, our derivative is:

$=\frac{dy}{dx}\sin(y)+y(\cos(y)\cdot\frac{dy}{dx}})$

Simplify:

$=\frac{dy}{dx}\sin(y)+y\cos(y)\cdot\frac{dy}{dx}}$

And we are done for the right.

Right Side:

We have:

$\frac{d}{dx}[x\cos(x)]$

This will be significantly easier since it's just x like normal.

Again, let's use the product rule:

$=\frac{d}{dx}[x]\cos(x)+x\frac{d}{dx}[\cos(x)]$

Differentiate:

$=\cos(x)-x\sin(x)$

So, our entire equation is:

$=\frac{dy}{dx}\sin(y)+y\cos(y)\cdot\frac{dy}{dx}}=\cos(x)-x\sin(x)$

To find our derivative, we need to solve for dy/dx. So, let's factor out a dy/dx from the left. This yields:

$\frac{dy}{dx}(\sin(y)+y\cos(y))=\cos(x)-x\sin(x)$

Finally, divide everything by the expression inside the parentheses to obtain our derivative:

$\frac{dy}{dx}=\frac{\cos(x)-x\sin(x)}{\sin(y)+y\cos(y)}$

And we're done!

5 0

3 years ago

Enter the x-coordinate of the solution to this system of equations

Kitty [74]

Answer:

equation 2into minus 3 into equation 1

8x+ 3y= -28

-3x-3y=18

----------------

5x=10

x =2

put value of y in equation 2

8 into 2+3y=-28

16+3y= -28

3y= -28+16

3y= -12

y= -4

5 0

3 years ago

18 is 30 percent what is the total

Sergio039 [100]

60 percent because if you divide if you multiply 18 by 100 it gives you 18000 then divide it by 30 it gives you 60

5 0

3 years ago

Read 2 more answers

What is the mean of the numbers 6 4 9 6 7 10 7

Paha777 [63]

Step-by-step explanation:

Mean =sum of values /number of values

total sum ↪️ 6+4+9+6+7+10+7

number of values is 7

= 49/7

<h2> = 7 is themean</h2>

6 0

2 years ago