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

Question

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

(x²+y²)²=25/4 xy²; (1, 2)

Accepted Answer

Hello. In this video, we are going to be verifying whether the given point lies on the given curve. Now, the curve given to us is defined as the quantity 3X2 + 4 Y quad, that entire quantity squared equal to 98 XY 2. Now, in order to verify whether the given point 2.2 lies on this curve, what we want to do is we want to take the point and plug it into the given equation. If this point makes the equation true, then that verifies that the point lies on the curve. So, let's go ahead and plug in the values to the given equation. That is going to allow us to rewrite the equation as 3 multiplied by 2 squared, plus 4 multiplied by 2 squared, that entire quantity squared equal to 98, multiplied by 2 multiplied by 2 squared. Now what we need to do is simplify. Every 2 squared is going to simplify to be 4. So what that leaves us with is 3 multiplied by 4, plus 4 multiplied by 4, that entire quantity squared, equal to 98, multiplied by 2 multiplied by 4. On the left-hand side, 3 multiplied by 4 will give us 12, and 4 multiplied by 4 will give us 1612 plus 16 will add to give 28. So we have 28 squared on the left hand side, and 98 multiplied by 2, multiplied by 4, will give us the product of 784 on the right hand side. Finally, 28 squad will simplify to be 784. So this will leave us with 784 equal to 784, which is a true statement. What this means is that the 0.2.2 lies on the defined curve. So, I hope this video helps you in understanding how to approach this problem, and I will go ahead and see you all in the next video.

45–50. Tangent lines Carry out the following steps. <IMAGE>
a. Verify that the given point lies on the curve.
(x²+y²)²=25/4 xy²; (1, 2)

Watch next

45–50. Tangent lines Carry out the following steps. <IMAGE>a. Verify that the given point lies on the curve.(x²+y²)²=25/4 xy²; (1, 2)​​

Watch next

45–50. Tangent lines Carry out the following steps. <IMAGE>
a. Verify that the given point lies on the curve.
(x²+y²)²=25/4 xy²; (1, 2)