(3a+ 2b) -(a+b)=<br> what is the answer??

Consider the surface defined by the equation x3 + y3 + z3 = 3xyz. Use implicit differ- ∂z entiation to find ∂x. (Note z is not a

Aloiza [94]

Answer:

$\frac{∂z}{∂x}=\frac{(3yz-3x^{2})}{3z^{2} -3xy}$

Step-by-step explanation:

Given equation is $x^{3}+y^{3}+z^{3}=3xyz$ ………………(1)

we use derivative formula $\frac{d}{dx}(x^{n}) = n x^{n-1}$

$\frac{d}{dx}(x^{3)} = 3 x^{2}$

$\frac{d}{dx}(z^{3)} = 3 z^{2}$

And also apply 'u v' formula

$\frac{d}{dx}(uv}) = u\frac{d}{dx}(v)+v\frac{d}{dx}(u)$

Differentiating equation (1) partially with respective to 'x' , we treated 'y' as constant.

$(3x^{2} +0+3z^{2}\frac{∂z}{∂x}) =3y(x\frac{∂z}{∂x}+z(1))$ ( here y treated as constant so the derivative of constant function is zero in addition but in multiplication the constant is keep as like 'y').

on simplification , we get

$(3x^{2} +0+3z^{2}\frac{∂z}{∂x}) =(3yx\frac{∂z}{∂x}+3yz)$

again simplification, we get

$3z^{2}\frac{∂z}{∂x}- 3yx\frac{∂z}{∂x}=3yz-3x^{2}$

taking common ' $\frac{∂z}{∂x}$ on left on side , we get

$(3z^{2}- 3yx)\frac{∂z}{∂x}=3yz-3x^{2}$

dividing ' $(3z^{2}- 3yx)$ on both sides, we get

$\frac{∂z}{∂x}=\frac{(3yz-3x^{2})}{3z^{2} -3xy}$

<u>Final answer</u>:-

$\frac{∂z}{∂x}=\frac{(3yz-3x^{2})}{3z^{2} -3xy}$

6 0

3 years ago

-4 - 3= Please help if you know the answer please explane??

Doss [256]

Answer:

-7

Step-by-step explanation:

there is nothing to explain but anyways

-4 - 3 = -7

8 0

4 years ago

Read 2 more answers

The following graph shows a proportional relationship.

MAXImum [283]

The constant of proportionality of the given graph is gotten as 4.

<h3>How to find the constant of proportionality?</h3>

The constant of proportionality here is simply the slope of the graph.

Now, we will take two points and use their coordinates to find the slope from the formula;

m = (y2 - y1)/(x2 - x1)

Let us pick 2 points which are;

(1, 4) and (2, 8). Thus;

m = (8 - 4)/(2 - 1)

m = 4/1

m = 4

Thus, the constant of proportionality of the graph is gotten as 4.

Read more about constant of proportionality at; brainly.com/question/1835116

#SPJ1

6 0

2 years ago

Identify the slope and y intercept

mihalych1998 [28]

Slope is 1, and y-intercept is 2.

4 0

3 years ago

1000 tickets were sold. Adult tickets cost $8.50, children's cost $4.50, and a total of $5700 was collected. How many tickets of

AlladinOne [14]

Answer:

300 adult tickets and 700 children's tickets

Step-by-step explanation:

Let the number of adult tickets sold be a and the number of children's tickets sold be c.

a +c= 1000 -----(1)

Total amount collected

= (number of adult ticket)(cost of an adult ticket) +(number of children's tickets)(cost of a children's ticket)

a(8.50) +c(4.50)= 5700

8.5a +4.5c= 5700 -----(2)

From (1):

a= 1000 -c -----(3)

Substitute (3) into (2):

8.5(1000 -c) +4.5c= 5700

Expand:

8500 -8.5c +4.5c= 5700

Simplify:

8500 -4c= 5700

4c= 8500 -5700

4c= 2800

Divide both sides by 4:

c= 2800 ÷4

c= 700

Substitute c= 700 into (3):

a= 1000 -700

a= 300

Thus, 300 adult tickets and 700 children's tickets were sold.

5 0

3 years ago

(3a+ 2b) -(a+b)= what is the answer??