Answer:
2(x-2y)/(4x-y) = dy/dx
Step-by-step explanation:
2x^2+y^2=8xy
Take the derivative of each term, remembering that we take the 8xy as derivative by parts)
2 * 2x dx + *2y dy = 8 ( x dy + dx *y)
4x dx +2y dy = 8x dy + 8y dx
Subtract 2y dy from each side
4x dx +2y dy -4y dy = 8x dy - 2y dy + 8y dx
4x dx = 8x dy - 2y dy + 8y dx
Subtract 8y dx from each side
4x dx -8y dx = 8x dy - 2y dy + 8y dx-8y dx
4x dx -8y dx = 8x dy - 2y dy
(4x-8y) dx = (8x-2y) dy
Factor out a 4 from the left side and a 2 from the right side
4(x-2y) dx = 2( 4x-y) dy
Cancel a 2
2(x-2y) dx = ( 4x-y) dy
Divide each side by (4x-y)
2(x-2y)/(4x-y) dx = ( 4x-y)/(4x-y) dy
2(x-2y)/(4x-y) dx = dy
Divide by dx
2(x-2y)/(4x-y) dx/dx = dy/dx
2(x-2y)/(4x-y) = dy/dx
Answer:
6 kilometers
Step-by-step explanation:
It's a right there answer. I really don't understand what yoy are asking...
Model means show how you would set the question out
So:
2/3 ×5/1 = 10/3 = 3 and 1/3
2×5=10
3×1=3 1/3 ........... 3 and 1/3 is the answer
Answer:
2 miles
Step-by-step explanation:
⅓ ÷ ⅙
⅓ × 6 = 2
Answer:
the difference between a number and five is negative fieles a number is equal to two
Step-by-step explanation:
n-5=-2
n=-2+5
=3