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Amanda [17]
4 years ago
12

X^6 + y^6 = 1 What does: y'' =

Mathematics
1 answer:
madreJ [45]4 years ago
5 0
Before taking the derivatives of the function, simplify the equation first for smooth operation.

x^6 + y^6 = 1

Multiply the whole equation with an exponent of 1/6 for uniformity. This would get rid of the exponents of x and y. The product would be

x + y = 1^1/6
x + y = 1

Expressing in terms of x:

y = 1 - x

Now, we derive the equation:

y' = 0 -1 = -1
y" = 0
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First, let us restate the given conditions

c is 5 more than variable a ( c = a + 5)
c is also three less than variable a (c = a - 3)

Now, lets look at the answer choices and or given
c = a − 5 
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Here, c is 5 less than "a"...so automatically disqualified

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a = 3c − 3 
Here, we have to get "C" by itself in both top and bottom equation.
So,
Simplified version :
c = a - 5
Here, c is 5 less than "a"...so automatically disqualified


a = c − 5
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Here also, we have to get "C" by itself in both top and bottom equation.
So, 
simplified version:
c = a + 5
Here, c is 5 more than "a"...so we continue
c = (a - 3) / 3
Here, c is 3 less than "a" <u>divided by 3</u><u /> . So, this is not correct

c = a + 5
c = a − 3
Here, c is 5 more than "A"
Also, c is 3 less than "a"
Which satisfies the given.

 So, our answer is going to be the last one:
 
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