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Yuliya22 [10]
3 years ago
9

Find dy/dx for (y^2/x) = 18 by implicit differentiation

Mathematics
1 answer:
Natasha2012 [34]3 years ago
6 0

9514 1404 393

Answer:

  dy/dx = y/(2x)

Step-by-step explanation:

The product formula can be used, along with the power rule.

  d(uv) = du·v +u·dv

__

  d(y^2/x) = d(18)

  2y·dy/x -y^2/x^2·dx = 0

  2x·dy -y·dx = 0 . . . . . . . . multiply by x^2/y

  dy/dx = y/(2x) . . . . . . . . add y·dx, divide by 2x·dx

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3^2•3^2= please help me ASAP
Nonamiya [84]

According to order of operations rules, exponentiation must be done first. Thus, we have

(3^2)*(3^2) = (9)(9) = 81.

Alternatively, note that there's only one base (3) here, even tho' it shows up more than once. So, 3^2*3^2 = 3^(2+2) = 3^4 = 81.

6 0
3 years ago
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Mindy and Troy combined ate 9 99 pieces of the wedding cake. Mindy ate 3 33 pieces of cake and Troy had 1 4 4 1 ​ start fraction
saul85 [17]

Answer:

(a)There are 24 cakes in total

(b)There are 15 pieces of cakes left

Step-by-step explanation:

Let the total cakes=x

Let number of cakes eaten by Mindy=m

Let number of cakes eaten by Troy=t

Now:

m=3

Since m+t=9

3+t=9

t=9-3=6

The Number of Pieces of Cake Left in Total=x-(t+m)

Since Troy had \frac{1}{4} of the total cake

\frac{1}{4} of x=6

\frac{1}{4} X x=6

x=6X4=24

(a)There are 24 cakes in total

(b)The Number of Pieces of Cake Left in Total=x-(t+m)=24-9=15 cakes

5 0
3 years ago
The figure below shows a rope that circles the Earth. The radius of the Earth is 637163716371 kilometers. Assuming the rope make
lutik1710 [3]
The length of the rope for this case is given by the length of the circumference.
 We have then:
 C = 2 * pi * R
 Where,
 R: Earth radio.
 We have then:
 C = 2 * pi * (6371)
 C = 12742 * pi
 Answer:
 the length of this rope is:
 C = 12742 * pi
6 0
3 years ago
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A baseball player reaches first base 30% of the time he is at bat.out of 50 times at bat,about how many times will the player re
SOVA2 [1]

Answer:

15 times

Step-by-step explanation:

If he bats 50 times, he will be expected to reach first base "30% of the time".

We simply need to find "what is 30% of 50?"

We first need to convert the percentage (30%) to decimal and then multiply that with 50 to get our answer.

Converting percentage to decimal is very simple! We divide by 100. That's it!

So, we have:

30% = 30/100 = 0.3

Now we do the multiplication:

0.3 * 50 = 15

So, the player would reach first base 15 times (out of 50 times of batting)

6 0
3 years ago
What is the Latin number for M
forsale [732]

Answer:

Hope this helps any beginners of Latin or Roman Numerals!

NUMBERS 100-1,000.

Number Latin numerals Cardinal Number

1,000          M                             mille

7 0
3 years ago
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