Question

650 ml is
please answer my questions​

Answer 1

★Question

➽ Find dy/dx when x²+y² = sin (xy)

★ Solution

★ Given

➽ x²+y²= sin (xy)

To find

➽ dy/dx

So,

➽ x²+y² = sin (xy)

We know that

➽ d/dx (u+v) = d/dx (u) + d/dx (v)

➽ d/dx (x²)+d/dx(y²) = d/dx [ sin (xy) ]

★ Now,

➽ d/dx (xⁿ) = n^-1

➽ 2x+d/dx(y²) = d/dx [sin(xy)]

★We know that

➽ du/dv= du/dx × dx/dv

➽ 2x + d/dy(y²) × dy/dx = d/dx [sin (xy)]

➽ 2x + 2y dy/dx = d/dx [ sin (xy)]

Now,

➽ d/dx(sin x) = cos (x)

➽ dx/dx[f(g(x))]= d/dz[f(x)]•d/dx[g(x)]

➽ 2x+2y dy/dx = cos (xy)/d/dx (xy)

We know that,

➽ d/dz(uv) = v d/dx (u) + u d/dx (v)

➠ 2x+2y dy/dx = cos (xy) [ y d/dx (x) +x d/dy (y) ]

➠ 2x+2dy/dx = cos (xy)[y×1+x d/dy (y) × dy/dx]

➠ 2x+2y dy/dx = cos (xy) [ y+x dy/dx ]

➠ 2x+2y dy/dx = cos (xy ) [ y+x dy/dx]

➠ 2x+2y dy/dx = cos (xy)y + x dy/dx cos (xy)

➠ 2y dy/dx - x cos (xy) dy/dx = cos (xy) y-2x

➠ dy/dz[ 2y -x cos (xy) ] = cos (xy) y-2x

$\to \tt \: answer = \green{ \frac{ cos \: (xy)y - 2x}{2y - x \: cos \: (xy)} }$

Answer 2

Answer:

0.650 l

Step-by-step explanation:

1000 ml / 650 ml = 0.650 l