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# Calculus III MATH 2110

TTU

GPA 3.82

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This 1 page Class Notes was uploaded by Jules Kuhic on Wednesday October 21, 2015. The Class Notes belongs to MATH 2110 at Tennessee Tech University taught by Staff in Fall. Since its upload, it has received 11 views. For similar materials see /class/225717/math-2110-tennessee-tech-university in Mathematics (M) at Tennessee Tech University.

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Date Created: 10/21/15

3 Extra problems on lines planes velocity and acceleration It is perhaps worth reviewing the various ways of describing lines and planes Lines in R2 can be described as the graph of a function from R to R y mac 717 b or as the range of a function from R to R2 771157 3 or the equivalent scalar parametric77 equations Lines in R3 cannot be described as the graph of a function they can be described as the range of a function from R to R3 parametric forms or as the intersection of planes symmetric equations Planes in R2 are not considered since the Whole plane is the only one Planes in R3 can be described as the solution set of a linear equation ant by 02 d 0 or equivalently as the graph of a linear function from R2 to R z mm my 717 b They can also be described in vector form as the endpoints of all the vectors starting at a given point and perpendicular to a given vector 77 F7 F0 0 31 Find equations vector parametric scalar parametric and symmetric or y mac 717 b form for each line described 1f the information does not actually describe a line explain Why a The line containing 23 and 876 b The line containing 23 and 58 76 c The line containing 273 and 58 76 d e The line consisting of the intersection of the planes 150 F7 2 3 4 0 and F 2351 6 The line Which is the intersection of the planes 5x7 224731074 0 and z 732471 f The line perpendicular to the plane 2 310 7 2y 717 5 at the point on the plane Whose x and y coordinates are both equal to 1 g The line tangent to the spiral curve Ft t2costsint at the point F0 on the curve h The lines tangent to the curve Ft t2 7 1 CW cos2t2 7 1gt at the points Where the curve goes through the 24 2 plane 32 Find equations both vector form and scalar form for each plane described 1f the information does not actually describe a plane explain Why i The plane containing the points 1 23 2 717 and 813 j The plane containing the points 4 7 71 690 and 8111 k The plane Which iiperpendicular to the line at 231 717 t 039 at the point parameterized by 1 Additional notes for Math 2110 7 February 13 2009

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