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vredina [299]
3 years ago
14

Implicit diffrention problems I am really stuck on

Mathematics
1 answer:
AysviL [449]3 years ago
5 0

Answer:

\frac{dy}{dx} =\frac{4x^3+3x^2y-5y^2}{10xy-3y^2-x^3}

Step-by-step explanation:

solving for dy/dx

multiply the equation out to remove parentheses

x^4 + x^3y = 5xy^2 -y^3

now differentiating in terms of x (\frac{dy}{dx})

4x^3 +3x^2y + x^3(\frac{dy}{dx} ) = 5y^2 + 10xy(\frac{dy}{dx} )-3y^2(\frac{dy}{dx} )

isolating dy/dx to one side

4x^3 +3x^2y - 5y^2= 10xy(\frac{dy}{dx} )-3y^2(\frac{dy}{dx} )-x^3(\frac{dy}{dx} )

4x^3 +3x^2y - 5y^2= \frac{dy}{dx}(10xy-3y^2-x^3)

\frac{dy}{dx} =\frac{4x^3+3x^2y-5y^2}{10xy-3y^2-x^3}

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A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in
SashulF [63]

Answer:

The number of machines to complete job in 2 hours is 6.

Step-by-step explanation:

Using the relation of the rate of each one machine and knowing that adding up both rates.

  1. Rate R +Rate S= Rate total

Rate R = \frac{x}{36}  'x' is the job

Rate S = \frac{x}{18}  'x' is the job

So, using the equation of rates

        Rate total =\frac{x}{36} + \frac{x}{18}

Rate total is going to be a job in 2 hours so = \frac{1}{2}

\frac{1}{2} = \frac{x}{36}+\frac{x}{18} <em>adding up</em>

\frac{1}{2}= x*\frac{3}{36}  <em>factoring the x</em>

\frac{1}{2}= x*\frac{1}{12}  <em>simplifying</em>

x= \frac{12}{2} \\

x= 6

3 0
3 years ago
Rewrite the equation below to express the cost (c) as a function of miles (m). The charge for a rental car is $20 plus $0.05 per
Alja [10]
The answer is 
c(m) = $20 + $0.05m
5 0
3 years ago
Simplify the expression: (3m + 1)(2)
BARSIC [14]

Answer:

6m + 2

Step-by-step explanation:

To simplify the expression you must have to use the distributive property:

(3m + 1)(2)

2 x 3m = 6m

2 x 1 = 2

6m + 2

3 0
3 years ago
Read 2 more answers
Question 6 (1 point) Mrs. Sullivan wants to make a square tablecloth for her dining room table. She has 121 ft? of fabric. What
Mekhanik [1.2K]

Answer:

c 60.5 ft x 2ft

Step-by-step explanation:

60.5 ft x 2 = 121 ft

5 0
3 years ago
Needed help for my math please
vesna_86 [32]

Answer:

see explanation

Step-by-step explanation:

(a)

\frac{a}{a} = 1 ( any value divided by itself = 1 )

(b)

\frac{a}{1} = a ( any value divide by 1 is the value itself )

(c)

\frac{a}{b} × \frac{c}{d} = \frac{ac}{bd}

The product of 2 fractions is the product of the numerators divided by the product of the denominators

(d)

\frac{a}{b} ÷ \frac{c}{d} = \frac{ad}{bc}

To divide 2 fractions, leave the first fraction, change division to multiplication and turn the second fraction upside down, that is

\frac{a}{b} ÷ \frac{c}{d} = \frac{a}{b} × \frac{d}{c} = \frac{ad}{bc}

(e)

\frac{a}{d} + \frac{b}{d} = \frac{a+b}{d}

Since the fractions have a like denominator, add the numerators leaving the denominator. This applies to subtraction also

(f)

\frac{a}{d} - \frac{b}{d} = \frac{a-b}{d}

See explanation for part (e)




6 0
3 years ago
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