Answer:
Step-by-step explanation:
Answer:
dy/dx = ( 2x - y^2 - 1) / (3y^2 + 2xy + 1).
Step-by-step explanation:
Cross multiply:
x^2 = (x + y)(y^2 + 1)
Using the Chain and Product rules:
Finding the derivative:
2x = (x + y)(2y dy/dx) + (y^2 + 1)(1 + dy/dx)
2x = 2xy dy/dx + 2y^2 dy/dx + y^2 + y^2 dy/dx + 1 + dy/dx
2xy dy/dx + 2y^2 dy/dx + y^2 dy/dx + dy/dx = 2x - y^2 - 1
3y^2 dy/dx + 2xy dy/dx + dy/dx = 2x - y^2 - 1
dy/dx = ( 2x - y^2 - 1) / (3y^2 + 2xy + 1).
Answer:
1/5%
Step-by-step explanation:
Answer:
Step-by-step explanation:
Please be sure to include the directions when you post a question. I will assume you want to graph this inequality 2x - y ≤ 5.
2x - y = 5 is a linear function whose graph is that of a straight line. Because of the ≤ sign, the solution set includes all points on this straight line PLUS all points below it.
x - intercept: Set y = 0 in 2x - y = 5 and solve the resulting equation for x:
2x - 0 = 5. Then x = 5/2, and the x-intercept is (5/2, 0).
y-intercept: Set x = 0 and solve for y: 2(0) - y = 5: y = -5. Then the y-intercept is (0, -5).
Plot both points (5/2, 0) and (0, -5). Draw a solid line through them. Shade the area BELOW this line.
It’s because it’s intersecting so WXY and ZYX are congruent