What are the zero level curves for x squared minus Y squared?

We can factorize x squared minus y squared as x plus y times x minus y, and if this is 0, then that means either plus y is 0 or x minus y is 0. So that tells is that the zero level curves for this graph are the lines y equals minus x and the lines y equals x. OK.

How do you find the squared value of a number?

Find the squared value of a number n. Enter positive or negative whole numbers or decimal numbers or scientific E notation. When you want to square negative numbers in this calculator use parentheses with your input. For example, to square -4 enter it into the calculator as (-4) with parentheses.

How do you calculate a perfect square with parentheses?

Use parentheses to clearly indicate which calculation you really want to happen. Squared. A number n squared is written as n² and n² = n × n. If n is an integer then n² is a perfect square. For example, 3 squared is written as 3² and 3² = 3 × 3 = 9. Nine is a perfect square. Numbers 0 through 10 squared . 0 squared is 0² = 0 × 0 = 0

How do you evaluate X and Y in Algebra calculator?

Algebra Calculator can also evaluate expressions that contain variables x and y. To evaluate an expression containing x and y, enter the expression you want to evaluate, followed by the @ sign and an ordered pair containing your x-value and y-value. Here is an example evaluating the expression xy at the point (3,4): xy @ (3,4) .

What is the level curve at z equal to 0?

The level curves in this case are just going to be lines. So, for instance, if we take the level curve at z equals 0, then we have just the equation 2x plus y equals 0. And so that has intercept– so we’re looking at– so 0 equals 2x plus y, so that’s just y equals minus 2x. So that’s this level curve. That’s the level curve at z equals 0.

How do you find the intersection of two curves?

Now, the curve y = x lies above the curve y = x 3 throughout the region. We need to find the end points for the integration. These will be the points of intersection of the two curves. Set the equations of the two curves equal, and solve for x.

What is the lower curve on the Y-axis?

Something peculiar is going on, however. If you split the region up along the y -axis, the region to the left has y = − x + 1 as the lower curve. To the right of the y -axis, y = x − 1 is the lower curve.