Answer:
You need to solve for Y. There should only be one corresponding y-value for that x-value. y = x + 1 is a function because Y is ALWAYS greater then X.
Step-by-step explanation:
Answer:
It has infinite length, but no width and no thickness (It describes a Line )
Hope it helps...
Have a great day :P
Answer:
y"(2, 1) = -5
Step-by-step explanation:
Step 1: Define implicit differentiation
5 - y² = x²
Step 2: Find dy/dx
- Take implicit differentiation: -2yy' = 2x
- Isolate y': y' = 2x/-2y
- Isolate y': y' = -x/y
Step 3: Find d²y/dx²
- Quotient Rule: y'' = [y(-1) - y'(-x)] / y²
- Substitute y': y" = [-y - (-x/y)(-x)] / y²
- Simplify: y" = [-y - x²/y] / y²
- Multiply top/bottom by y: y" = (-y² - x²) / y³
- Factor negative: y" = -(y² + x²) / y³
Step 4: Substitute and Evaluate
y"(2, 1) = -(1² + 2²) / 1³
y"(2, 1) = -(1 + 4) / 1
y"(2, 1) = -5/1
y"(2, 1) = -5
First we have to distribute the parentheses on the left side, 2*x is 2x and 2*-3 is -6, so now the equation is 4x+2x-6 = 8x+12
Then, we can add together the two x's on the left side,
so now we have 6x-6 = 8x+12 Subtract 12 from both sides and
you get 6x -18 = 8x Then you can subtract 6x from both the sides and get
-18 = 2x Now we can divide both sides by 2, and the final answer is -9 = x
Since they are not the same and the two sides aren't unequal, there is one solution(:
Hope this is helping you(:
Answer:
2nd quadrant.
Step-by-step explanation:
