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4 years ago

For the function z=9x^3-4y^2+2xy, Find dz/dx.

Mathematics

1 answer:

IceJOKER [234]4 years ago

4 0

Answer:

The value of dz/dx is 27x^2 + 2y

Step-by-step explanation:

We have to given the function z = 9x^3 - 4y^2 + 2xy and we have to find the partial derivative of the given function. In the given function, we have to find partial derivation with respect to x. Therefore, the other values will be considered as constant and during the partial derivation, the constant value will become zero.

$z=9x^3-4y^2+2xy \\\frac{dz}{dx} = 9\times 3x^{3-1} -0 +2y \\\frac{dz}{dx} =27x^2 + 2y \\$

Therefore, the value of dz/dx is 27x^2 + 2y

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Mr. Smith started his own business making sweatshirts. It costs him $15 for the sweatshirt, $3 for the designs, and $.50 for del

serg [7]

Answer:

$7.5 is the ROI on each sweatshirt

Step-by-step explanation:

In this question, we are asked to calculate ROI for a businessman who sells sweatshirts.

To calculate the profit we need to subtract the total cost incurred form manufacture to delivery and subtract bogus from the cost at which he sells the shirts.

Mathematically let’s calculate the cost from production to delivery.

That would be ;

$15 + $3 + $0.5 = $18.5

sales price is $26

His ROI will be $26 - $18.5 = $7.5

3 0

3 years ago

A chord consists of notes that sound good together. The C major chord starting at middle C has the following frequencies: C - 26

Bingel [31]

Answer:

The frequency of note E is:

f(E) = 330 Hz

The frequency of note C is:

f(C) = 262 Hz

The ratio of the frequency of note E to the frequency of note C is just the quotient of these two frequencies:

r = f(E)/f(C) = 330Hz/262Hz = 330/262 = 1.26

Now, we want to find how man E waves will fit in the length of four C waves.

Note that here the word "length" is used, so we need to work with the wavelengths, not with the frequencies.

For waves, we have the relationship:

v = f*λ

where:

v = velocity (in this case, velocity of the sound = 343 m/s)

f = frequency

λ = wavelength.

So, the length of a single E wave is:

λ(E) = (343 m/s)/(330 1/s) = 1.04 m

And the length of a single C note is:

λ(C) = (343 m/s)/(262 1/s) = 1.30 m

In four C waves, the length is:

4*λ(C) = 4*1.30m = 5.2m

The number of E waves that fit in the length of four C waves is equal to the quotient between the length of four C waves and one E wave:

N = (4*λ(C))/(λ(E) ) = (5.2 m)/(1.04m) = 5.14

So we can fit 5 E waves into four C waves.

6 0

3 years ago

How many ways can 5 apple trees, 4 pear trees, and 3 cherry trees be arranged along a fence line?

Tems11 [23]

Answer:

Step-by-step explanation:

5 x 4 x 3=60

3 0

3 years ago

Read 2 more answers

A store has clearance items that have been marked down by 60%. They are having a sale, advertising an additional 15% off clearan

astra-53 [7]

Answer: 34%

Step-by-step explanation:

Given

Price is marked down by 60% with an additional discount of 15% on the marked down price

Suppose x is the original price of the item

After marking down, it is

$\Rightarrow x-x\times 0.6=0.4x$

after additional discount it is

$\Rightarrow 0.4x(1-0.15)=0.4x\times 0.85=0.34x$

Effective discount on the item is

$\Rightarrow \dfrac{x-0.34x}{x}\times 100=66\%$

Thus, a person is paying $100-66=34\%$ of the original price

6 0

3 years ago

Simplify the expression:<br> 9v–4v+7v

EleoNora [17]

Step-by-step explanation:

9v-4v+7v

= 5v+7v

= 12v

The answer is 12v

7 0

3 years ago