# Group Activity 3.docx - John Hendrie Mat-232 Group Work...

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John Hendrie Mat-232 Group Work Forum 3 Section 9.1 In exercises 21-28, find parametric equations describing the given curve. 24) The line segment from (4, -2) to (2, -1) So, equation of the line joins the points is: x(t)=4+t (2-4) x(t)=4-2t y(t)=-2+t (-1+2) =-2+t X(t)=4-2t Y(t)=t-2
Section 9.2 Question # 2. 3 4 2 2 3 3 2 3 2 3 2 3 4 2 , 5 4 3 1, 4 10 4 10 3 1 , 1 4 10 4( 1) 10( 1) 3 1 3( 1) 1 4 10 3 2 , 1 4 10 4(1) 10(1) 3 3 1 3(1) 1 ,( , ) (0,4) 0, 5 4 4 0 4 x t t y t t dx dy t t t dt dt t t slope t a t t t slope m t b t t t slope m t c x y t t t t t slope   3 2 10 4(0) 10(0) 0 0 3 1 3(0) 1 1 t t t
Section 9.3 Question # 2
2 2 2 2 2 2 2 2 4 2 2 2 2 2 2 2 2 2 2 3/2 2) 3 , 2 / 2 2 / 3 3 2 (3 ) (2 ) 2 (9 4 2 2 (1 (3/ 2 ) 2 (1 (3/ 2 ) , 1 3/ 2 2 9 / 4 2 9 / 4 2 4 9 8 3 ( ) 9 3 8 9 (1 ) 27 4 8 2 ( (1 27 a dx dy t t dt dt dy dy dt t dx dx dt t t t t dt t t dt t t dt t t dt z t zdz x tdt zdz tdt x z zdz t length x   2 3/2 2 0 3/2 9 ) ) 4 8 8 2( (1 9) 27 27 8 2 (31.623 1) 27 16 30.623 18.147 27 t x x
2 2 2 2 2 2 2 2 2 2 4 2