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-BARSIC- [3]
2 years ago
13

The slope of the tangent line to the curve x^3y+y^2-x^2=5 at the point (2,1) is

Mathematics
1 answer:
zheka24 [161]2 years ago
5 0

Answer:

-4/5

Step-by-step explanation:

To find the slope of the tangent to the equation at any point we must differentiate the equation.

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

3x^2y+x^3y'+2yy'-2x=0

Gather terms with y' on one side and terms without on opposing side.

x^3y'+2yy'=2x-3x^2y

Factor left side

y'(x^3+2y)=2x-3x^2y

Divide both sides by (x^3+2y)

y'=(2x-3x^2y)/(x^3+2y)

y' is the slope any tangent to the given equation at point (x,y).

Plug in (2,1):

y'=(2(2)-3(2)^2(1))/((2)^3+2(1))

Simplify:

y'=(4-12)/(8+2)

y'=-8/10

y'=-4/5

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3 0
3 years ago
Evaluate 1/3m -1-1/2n m =21 and n=12 thanks
icang [17]

Answer:

\dfrac{-517}{504}=-1.0258

Step-by-step explanation:

We are given an algebraic expression in two variables m and n as:

 \dfrac{1}{3m}-1-\dfrac{1}{2n}

Now we are asked to evaluate this algebraic expression at :

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Hence, putting the values of m and n in algebraic expression we get:

\dfrac{1}{3\times 21}-1-\dfrac{1}{2\times 12}\\\\\\=\dfrac{1}{63}-1-\dfrac{1}{24}\\\\=\dfrac{-517}{504}\\\\=-1.0258

Hence, the value of the expression is:

\dfrac{-517}{504}=-1.0258

4 0
2 years ago
Find the vertex f(x)=2(x+14)^2-6
romanna [79]

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(-14,-6)

Step-by-step explanation:

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2 years ago
PLEASE HELP ME. ANSWER THIS FAST 20 POINTS FOR IT!
9966 [12]

Answer:

(<) this means less than 

(>) this means greater than

So since the question doesn't say anything about -4°C we can automatically cross out A and B 

They are both negative! but when you have a negative. Its going to be less than a positive 

So this means 4°C is greater than -5°C 

or in other words

D.) 4°C > -5°C

hope this helps! 

and don't forget 2 

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Step-by-step explanation:

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3 years ago
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maybe this will help you because the answer sound like divide ok  maybe .

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