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# CalculusIII MTH231

WSU

GPA 3.98

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This 1 page Class Notes was uploaded by Miss Kattie Daniel on Thursday October 29, 2015. The Class Notes belongs to MTH231 at Wright State University taught by Staff in Fall. Since its upload, it has received 12 views. For similar materials see /class/231086/mth231-wright-state-university in Mathematics (M) at Wright State University.

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Date Created: 10/29/15

H P3 9quot r U 1 Extra Practice problems Given the sphere whose equation is x2 y2 22 4x 7 6y 22 3 0 a Find the center and radius of the sphere b Find the equation of the diameter that is parallel to i j c Find the equation of the plane tangent to the sphere at 120 d Find the spherical coordinates and the cylindrical coordinates of the center Given four points P2 72 71 Q 1 73 72 R72 1 73 and S 4 9 71 a Find the volume of parallelepiped formed by PQ PR PS b Find the area and all angles of the triangle whose vertices are P Q and Rc Find the equation of the plane that contains the triangle whose vertices are P Q R d Find the projection and the distance from S to the plane you found in part e Are P Q S on the same line Find equation a Line that passes through 2 1 3 that is perpendicular to the plane 7390 y 22 3 Express your answer in both symmetric form and parametric form b Line passes through 213 and parallel to two planes at 7 2y Z 1 and 2x y 7 32 1 What is the angle between these two planes c Plane that passes through P23 1 and is perpendicular to the line 90 3 2t y 2 7 t Z 1 7 2t d Plane that contains 213 and line 90 3 2t y 2 7 t Z 17 2t Giventhe line 1 x 2t y 34t Z 27213 and the line 2 x 3741 y 71 7 3t Z 3 2t a Determine whether they intersect to each other b Find the plane that passes l1 and is parallel 2 c Can you nd a plane that passes l1 and is perpendicular to 2 Why e Find the distance between two lines Describe and then sketch the graphs of the following surfaces a Z x y 1b y x222 71c ac 2 7y2 7 322 d ac M47 222 732 e y v222 7902 f 7 Z g p 22 h p2 22 7 2 222 4 Find the cylindrical and spherical equations for the surface whose rectangle equation is a 2x2 2342 7 22 1 b 4902 4342 422 1 c Z 74902 7 432 Review and memorize the table including the names and graphs about all six quadratic surfaces

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