Answer:
6
Step-by-step explanation:
Hi there!


We can calculate dy/dx using implicit differentiation:
xy + y² = 6
Differentiate both sides. Remember to use the Product Rule for the "xy" term:
(1)y + x(dy/dx) + 2y(dy/dx) = 0
Move y to the opposite side:
x(dy/dx) + 2y(dy/dx) = -y
Factor out dy/dx:
dy/dx(x + 2y) = -y
Divide both sides by x + 2y:
dy/dx = -y/x + 2y
We need both x and y to find dy/dx, so plug in the given value of x into the original equation:
-1(y) + y² = 6
-y + y² = 6
y² - y - 6 = 0
(y - 3)(y + 2) = 0
Thus, y = -2 and 3.
We can calculate dy/dx at each point:
At y = -2: dy/dx = -(-2) / -1+ 2(-2) = -2/5.
At y = 3: dy/dx = -(3) / -1 + 2(3) = -3/5.
Answer:
42 Kids
Step-by-step explanation:
1st you have to subtract 7 form 301 so you get 294
2nd you divide 294 by 7 294/7
And you should get an answer of 42 Kids
Answer:
1 and 1/2
Step-by-step explanation:
3 1/4 is equal to 13/4 and 1 3/4 is equal to 7/4. 13/4 - 7/4 is 6/4. 6/4 equalsn is 1 1/2.
I hope this helps you
3 1/8=3.8+1/8=25/8
25/8-4/7
25.7/8.7-4.8/7.8
175-32/56
143/56
2 31/56