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lions [1.4K]
3 years ago
14

Finding Derivatives Implicity In Exercise, find dy/dx implicity. ln xy + 5x = 30

Mathematics
1 answer:
Sphinxa [80]3 years ago
7 0

Answer:

dy/dx = -5y - y/x

Step-by-step explanation:

In xy + 5x = 30

Differentiating xy implicitly

y + xdy/dx

Assuming u = xy

In xy = In u

Differentiating In u = 1/u = 1/xy

Differentiating 5x = 5 and differentiating a constant (30) = 0

1/xy(y + xdy/dx) + 5 = 0

(y + xdy/dx)/xy = -5

(y + xdy/dx) = -5xy

xdy/dx = -5xy - y

dy/dx = = (-5xy - y)/x

dy/dx = -5y - y/x

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Consider the numbers 4/15 and 3/10 (a) Compare the numbers. (B) find a fraction between the two given numbers
valentinak56 [21]
As a decimal 4/15 = 0.2666667
As a decimal 3/10 = 0.3 [talk about close]
3/10 is bigger.

You could take an average to find something between 4/15 and 3/10
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5 0
3 years ago
Determine the growth defined by the equation y = 6(.79)^x. Is this exponential growth or exponential decay?
Scorpion4ik [409]

Answer:

exponential decay

Step-by-step explanation:

4 0
3 years ago
22
mina [271]

Answer:

b

Step-by-step explanation:

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2 years ago
1000 views=£2<br> how many views are required to make £31?
dedylja [7]
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3 years ago
Simplify h= 105sin (0.0698(90+1)) + 105
IrinaK [193]

Answer:

h= 116.616

Step-by-step explanation:

we have

h= 105sin (0.0698(90+1)) + 105

step 1

Solve (90+1)

h= 105sin (0.0698(91)) + 105

step 2

Solve 0.0698(91)

h= 105sin (6.3518) + 105

step 3

Solve sin (6.3518)

h= 105(0.11063) + 105

step 4

Solve 105(0.11063)

h= 11.616 + 105

step 5

Solve 11.616 + 105

h= 116.616

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