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Sauron [17]
2 years ago
13

Y is a differentiable function of x. Choose the alternative that is the derivative dy / dx.

Mathematics
1 answer:
murzikaleks [220]2 years ago
3 0

Differentiating both sides of

x^3-y^3=1

with respect to <em>x</em> yields (using the chain rule)

3x^2 - 3y^2 \dfrac{\mathrm dy}{\mathrm dx} = 0

Solve for d<em>y</em>/d<em>x</em> :

3x^2 - 3y^2 \dfrac{\mathrm dy}{\mathrm dx} = 0 \\\\ 3y^2\dfrac{\mathrm dy}{\mathrm dx} = 3x^2 \\\\ \dfrac{\mathrm dy}{\mathrm dx} = \dfrac{3x^2}{3y^2} = \dfrac{x^2}{y^2}

The answer is then D.

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MrMuchimi
<h3>The angles are:</h3>
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4 0
3 years ago
A fair coin is flipped eight times. What is the probability of the coin landing heads up exactly 2 times?
dimulka [17.4K]

Answer:

50%

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Which angle in triangle DEF has the largest measure?​
nordsb [41]

Answer:

D is the largest angle

Step-by-step explanation:

The angle opposite the largest side is the largest and the angle opposite the smallest side is the smallest.

Since 12 is the largest side, angle D is the largest

8 is the smallest side, F is the smallest angle

7 0
3 years ago
The mean length of 6 childrens' big finger is 6.7cm.
yaroslaw [1]

Answer:

New mean length of these 17 people=11.62

Step-by-step explanation:

<em>Step 1: Determine the total length of children's fingers</em>

L=l×n

where;

L=total length (cm)

l=mean length (cm)

n=number of children

replacing;

L=6.7×6=40.2 cm

The total children's fingers length=40.2 cm

<em>Step 2: Determine the total length of adults fingers</em>

total length of adults fingers=mean length of adults fingers×number of adults

where;

mean length of adults=14.3

number of adults=11

replacing;

total length of adults fingers=(14.3×11)=157.3 cm

<em>Step 3: Determine the new mean length</em>

new mean length=total length of adults and children fingers/number of adults and children

where;

total length of adults and children fingers=157.3+40.2=197.5 cm

number of adults and children=11+6=17

replacing;

new mean length=197.5/17=11.62

7 0
3 years ago
The submarine went 1,200 feet below sea level. Enter the integer that represents the submarine's elevation.
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 think is
200 to 1000
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3 years ago
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