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mojhsa [17]
2 years ago
11

Find a parametrization, using cos(t) and sin(t), of the following curve: The intersection of the plane y= 5 with the sphere

Mathematics
1 answer:
Elenna [48]2 years ago
6 0

Answer:

The  parametrization,  of the given curve is  x = 10 cos(t) \ \ ,z = 10 sin(t)

Step-by-step explanation:

From the question we are given the function

        x^2 + y^2 + z^2 = 125

At  y= 5

       x^2 + 5^2 +z^2 =125

       x^2 + z^2 = 100

       x^2 + z^2 =  10^2

Converting the above  to it polar equation we have  

       x = 10 cos(t) \ \ ,z = 10 sin(t)

     

 

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