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2 years ago

7

A bottle holds 48 tsp of vanilla. The amount of A of vanilla remaining in the bottle decreases by 2 tsp per batch b of cookies.

what is the rule

1 answer:

boyakko [2]2 years ago

4 0

Rule=-2 per batch
I think

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How to compare rates and ratios

Leviafan [203]

Ratios don't have to be "per" something, while rates are "per" something.

Ratios compare 2 or more values, as well as rates.

6 0

2 years ago

EXAMPLE 5 If F(x, y, z) = 4y2i + (8xy + 4e4z)j + 16ye4zk, find a function f such that ∇f = F. SOLUTION If there is such a functi

Valentin [98]

If there is such a scalar function <em>f</em>, then

$\dfrac{\partial f}{\partial x}=4y^2$

$\dfrac{\partial f}{\partial y}=8xy+4e^{4z}$

$\dfrac{\partial f}{\partial z}=16ye^{4z}$

Integrate both sides of the first equation with respect to <em>x</em> :

$f(x,y,z)=4xy^2+g(y,z)$

Differentiate both sides with respect to <em>y</em> :

$\dfrac{\partial f}{\partial y}=8xy+4e^{4z}=8xy+\dfrac{\partial g}{\partial y}$

$\implies\dfrac{\partial g}{\partial y}=4e^{4z}$

Integrate both sides with respect to <em>y</em> :

$g(y,z)=4ye^{4z}+h(z)$

Plug this into the equation above with <em>f</em> , then differentiate both sides with respect to <em>z</em> :

$f(x,y,z)=4xy^2+4ye^{4z}+h(z)$

$\dfrac{\partial f}{\partial z}=16ye^{4z}=16ye^{4z}+\dfrac{\mathrm dh}{\mathrm dz}$

$\implies\dfrac{\mathrm dh}{\mathrm dz}=0$

Integrate both sides with respect to <em>z</em> :

$h(z)=C$

So we end up with

$\boxed{f(x,y,z)=4xy^2+4ye^{4z}+C}$

7 0

2 years ago

Which is the rate of change for the interval between 2 and 6 on the x-axis?

nadezda [96]

Answer:

3

Step-by-step explanation:

I think you misses attaching the photo, so please have a look at my photo for your better understanding.

We know the formula for rate of change of the parabola line:

$\frac{f(b)- f(a)}{b-a}$

Given here:

a= 2 => f(a) = 2

b=6 => f(b) = 2

Substitute all the values into the function, we have:

$\frac{14-2}{6-2} = 3$

So the rate of change is 3

7 0

3 years ago

Read 2 more answers

SOMEONE HELP!!!! WILL GIVE 50 POINTS AND BRAINLIEST TO WHOEVER ANSWERS CORRECTLY!!!!!!!!

riadik2000 [5.3K]

A is 7 4 and 3..B is the same...This is my first time with this kind of problem....

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2 years ago

4y= -6x +8 <br>find the y-intercept

ivanzaharov [21]

First, divide each side by 4 to get y alone on the left side.

y=-6/4x+2

The y intercept is 2

7 0

3 years ago