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sineoko [7]
3 years ago
5

Use implicit differentiation to find y^1 for the equation y^2-y-4x=0

Mathematics
1 answer:
Rudik [331]3 years ago
3 0

Answer:

Step-by-step explanation:

y²-y-4x=0

differentiate w.r.t. x

2y*y^1-y^1-4=0

(2y-1)y^1=4

y^1=4/(2y-1)

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I need help!!
Natasha2012 [34]

Answer:

The exact solution is

x = \frac{Ln(60)}{7*Ln(5)}

And the approximation to three decimal places is:

x = 0.363

Step-by-step explanation:

Here we have the equation:

5^{7*x} = 60\\

Now we can remember a property of the natural logarithm function:

Ln(a^n) = n*Ln(a)

Now we can apply the Ln( ) function to both sides of that equation to get:

Ln(5^{7*x}) = Ln(60)

Then we get:

7*x*Ln(5) = Ln(60)

Solving that for x we get:

x = \frac{Ln(60)}{7*Ln(5)}  = 0.363

So the exact solution is:

x = \frac{Ln(60)}{7*Ln(5)}

And the approximation to three decimal places is:

x = 0.363

7 0
3 years ago
Suppose you deposit $1,200 into a bank account. The account earns yearly simple interest at a rate of 1 3/4%. How many years wil
igor_vitrenko [27]

Answer:

6 years

Step-by-step explanation:

1.75% of 1,200 = 21

so 1 year= 21

21+21= 42         2 years

42+21=63           3 years

63+21=84            4 years

81+21=105             5 years

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Or you can do

21x6=126 so it has to equal 6 years

4 0
2 years ago
Word problem
Vlad [161]

Answer:

p=2

Step-by-step explanation:

4.05p+14.40=4.50(p+3)          < equation

4.05p+14.40=4.50p+13.50     < multiply

14.40=.45p+13.50                   < subtract

.9=.45p                                    < subtract

2=p                                          < divide

5 0
3 years ago
Read 2 more answers
Which phrase represents the algebraic expression StartFraction 3 p + 6 Over 7 p minus 9 End Fraction?
Anarel [89]

Answer:

Step-by-step explanation:

(3p+6)/(7p-9)

4 0
2 years ago
Which linear function represents the table?
Nadusha1986 [10]

Answer:

C  

Step-by-step explanation:

8 0
3 years ago
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