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tangare [24]
3 years ago
5

Calculate dy/dx when xy^3 + y =3x

Mathematics
1 answer:
Brilliant_brown [7]3 years ago
6 0
You have to use implicit derivative

dy / dx = y'

xy^3+y=3x

y^3 + 3xy^2 y' + y' = 3

[3xy^2 + 1) y'= 3 - y^3

          3 - y^3
y' = -----------------   <-----------answer
         3xy^2 + 1

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Answer:

Option D.

A =96\pi\ cm^2

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7 0
4 years ago
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Which of these is right
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3 0
3 years ago
Five students wrote a mathematics test. The average mark was 68. If the marks for four of the students were 75, 62, 84 and 53, t
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Answer:

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Step-by-step explanation:

Use the formula for the mean of a set of numbers:

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average = --------------------------------

                     count of numbers

Here we know that the average mark was 68, so we can write:

               

                           75 + 62 + 84 + 53 + x

average = 68 = ----------------------------------

                                           5

or                            274 + x

                  68 = -------------------

                                    5

Solving for x, we multiply both sides by 5:     340 = 274 + x.

Subtracting 274 from both sides effectively isolates x:

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- 274    -274

------------------------

  66      =    x

The fifth student's mark was 66.

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