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Mkey [24]
3 years ago
8

Hi i just need help checking if my answer is correct I have been working on a implicit diffrention problem and I need some help.

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
6 0

Answer:

  \dfrac{dy}{dx}=\dfrac{-4x^3y+2y^3+3x^2y^3}{x^4-6xy^2-3x^3y^2}

Step-by-step explanation:

Normally, when I do this, I differentiate each term first with respect to x then with respect to y. In this solution, I differentiated the entire expression with respect to x, then with respect to y. That makes separating the dx and dy coefficients much easier, so the solution almost falls into your lap.

  -x^4 y + 2 x y^3 + x^3 y^3=0 \qquad\text{given}\\\\(-4x^3y+2y^3+3x^2y^3)dx+(-x^4+6xy^2+3x^3y^2)dy=0\\\\(-4x^3y+2y^3+3x^2y^3)dx=(x^4-6xy^2-3x^3y^2)dy\\\\\boxed{\dfrac{dy}{dx}=\dfrac{-4x^3y+2y^3+3x^2y^3}{x^4-6xy^2-3x^3y^2}}

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What is the length of side TS?
-Dominant- [34]
We know that

 in the triangle TQS
<span>applying the Pythagorean theorem
QS</span>²=TS²+TQ²---------> TQ²=QS²-TS²--------> TQ²=18²-9x²-----> equation 1

in the triangle TRS
TS²=TR²+RS²--------------> TR²=TS²-RS²-------> TR²=9x²-144----> equation 2

in the triangle QTR
TQ²=TR²+36-----------> equation 3


<span>I substitute 1 and 2 in 3
</span>18²-9x²=9x²-144+36--------> 18x²-432=0------> x²=24-------> x=√24
x=2√6
TS=3*x------> 3*2√6-----> 6√6
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the answer is
TS=6√6 units 
<span>6 is the square root of 6 units</span>
6 0
3 years ago
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Helo asap !! will get branliest.​
Dvinal [7]

Answer:

1/25

Step-by-step explanation:

= 5^4/5^6

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= 1/5^2

= 1/25

hope it helps!

8 0
3 years ago
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In a parallelogram, explain how opposite sides are congruent
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There's a theorem that states:
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6 0
3 years ago
My product is 30. The differencd of the two factors is 1. The zum of the two factors is 11. What numbers am i
timurjin [86]
A * b = 30
a - b = 1
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take ur last 2 equations, and add them
a - b = 1
a + b = 11
--------------add
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a = 12/2
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now its just a matter of subbing
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6 + b = 11
b = 11 - 6
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For the last 2 questions,

1. 9/10
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