This WeBWork set is designed to give you an evaluation of your current knowledge

Question

This WeBWork set is designed to give you an evaluation of your current knowledge in the class (before the drop date Grades with refund). These problems were selected because similar problems have appeared on previous exams and are likely to appear on Problems future exams. In order to get the most accurate evaluation of your knowledge it is important that you do not seek help from: books notes tutors or fellow students. It is recommended that you complete this set in one seating of approximately one hour. You have 2 attempts per problem (Be sure to preview answers before submitting). Find a vector function that represents the curve of the intersection of the surfaces: The cylinder: x^2 + y^2 = 256 The plane: z = -1

Explanation / Answer

we have given the cylinder x^2+y^2=256 and the plane z=-1

we can parameterize the cylinder x^2+y^2=256 by (16cos(t),16sin(t),z)

now x(t)=16cos(t),y=16sin(t)

so z=-1

the intersection of the cylinder x^2+y^2=256 and the plane z=-1 can be represented as vector function is

(x(t),y(t),z(t))=(16cos(t),16sin(t),-1)

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