verify that the given point is on the curve and find the lines that are a. tangent and b. normal to the…

verify that the given point is on the curve and find the lines that are a. tangent and b. normal to the curve at the given point. $x^{2}+y^{2}=18,(3, - 3)$ the point is on the curve because when is substituted for x and is substituted for y, the resulting statement is = 18, which is a statement. (simplify your answers.)

verify that the given point is on the curve and find the lines that are a. tangent and b. normal to the curve at the given point. $x^{2}+y^{2}=18,(3, - 3)$ the point is on the curve because when is substituted for x and is substituted for y, the resulting statement is = 18, which is a statement. (simplify your answers.)

Answer

Explanation:

Step1: Verify the point on the curve

Substitute $x = 3$ and $y=-3$ into the equation $x^{2}+y^{2}$. $3^{2}+(-3)^{2}=9 + 9$

Step2: Calculate the result

$9+9=18$ Since $18 = 18$, the statement is true.

Answer:

The point is on the curve because when $3$ is substituted for $x$ and $- 3$ is substituted for $y$, the resulting statement is $18=18$, which is a true statement.