45–50. Tangent lines Carry out the following steps.

Question

a. Verify that the given point lies on the curve.

x³+y³=2xy; (1, 1)

Accepted Answer

Welcome back everyone. In this problem, we want to determine whether the 0.22 is on the curve written by X the 4th plus Y 4 equals 8 XY. A says the point does not lie on the curve, and the B says the point lies on the curve. Now to determine whether the point is on the curve, we need to test if it satisfies the equation. If it does, it's on the curve. If it doesn't, it's not on the curve. So let's go ahead and substitute X equals -2. And Y equals -2 into the equation. Now when we do that, we're going to have 2 to 4th plus 24th on the left-hand side, and 8 multiplied by 2 multiplied by 2 on the right hand side. Now, is this statement true? Well, 24th is 16 and 16 + 16 equals 32. On our right hand side, it multiplied by 2 is 16 and 16 multiplied by 2 is 32. 32 equals 32, we know that. So since the equation is satisfied, that means 22 lies on the curve. A is, sorry, B is the correct answer. Thanks a lot for watching everyone. I hope this video helped.

45–50. Tangent lines Carry out the following steps. <IMAGE>
a. Verify that the given point lies on the curve.
x³+y³=2xy; (1, 1)

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45–50. Tangent lines Carry out the following steps. <IMAGE>a. Verify that the given point lies on the curve.x³+y³=2xy; (1, 1)​​

Watch next

45–50. Tangent lines Carry out the following steps. <IMAGE>
a. Verify that the given point lies on the curve.
x³+y³=2xy; (1, 1)