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4 years ago

Anyone know the answers??

Mathematics

1 answer:

Anuta_ua [19.1K]4 years ago

8 0

B would need the answer because u have make and algebraic equation to find the answer to the word problem

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Find dy/dx by implicit differentiation. y cos x = 5x2 + 3y2

lbvjy [14]

Step 1:
Start by putting $\frac{d}{dx}$ in front of each term

$\frac{d}{dx}[y cos x]= \frac{d}{dx}[5x^2]+ \frac{d}{dx}[ 3y^2]$
-----------------------------------------------------------------------------------------------------------------
Step 2:

Deal with the terms in 'x' and the constant terms
$\frac{d}{dx}[ycosx]= 10x+ \frac{d}{dx} [3y^2]$
----------------------------------------------------------------------------------------------------------------
Step 3:

Use the chain rule for the terms in 'y'
$\frac{d}{dx}[ycosx]=10x+6y \frac{dy}{dx}$
--------------------------------------------------------------------------------------------------------------
Step 4:

Use the product rule on the term in 'x' and 'y'
$(y) \frac{d}{dx} cos x+(cos x) \frac{d}{dx}y =10x+6y \frac{dy}{dx}
$
$y(-siny)+(cosx) \frac{dy}{dx} =10x+6y \frac{dy}{dx}$
--------------------------------------------------------------------------------------------------------------

Step 5:

Rearrange to make $\frac{dy}{dx}$ the subject
$-y sin(y)+cos(x) \frac{dy}{dx} =10x+6y \frac{dy}{dx}$
$cos(x) \frac{dy}{dx}-6y \frac{dy}{dx}=10x+y sin(y)$
$[cos(x) - 6y] \frac{dy}{dx}=10x + y sin(y)$
$\frac{dy}{dx}= \frac{10x+ysin(y)}{cos(x)-6y}$ ⇒ Final Answer

5 0

4 years ago

Can someone please help me its a short quiz

Marrrta [24]

Can't see

Step-by-step explanation:

The rest of the page, upload again?

4 0

3 years ago

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ohaa [14]

The volume is 0.52 mm^3
Answer is C

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3 years ago

Ms. Smith bought a 6 pound bag of candy for her students. She gave away 3 pounds and ate 10 ounces of candy. How many ounces doe

zysi [14]

Answer:

38oz

Step-by-step explanation:

6-3=3 3pounds-10ounces=38

3lb=48oz 48-10=38

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3 years ago

Read 2 more answers

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kakasveta [241]

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