HW 06 - calc - gonzales(pag757 HW 06 Odell(57000 This...

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gonzales (pag757) – HW 06 – Odell – (57000) 1 This print-out should have 23 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points Determine A so that the curve y = 5 x + 4 can be written in parametric form as x ( t ) = t - 2 , y ( t ) = At - 6 . 1. A = - 5 2. A = 6 3. A = - 4 4. A = 4 5. A = - 6 6. A = 5 002 10.0 points Find a Cartesian equation for the curve given in parametric form by y ( t ) = 1 8 t 2 , x ( t ) = 1 8 t 3 . 1. y = 1 2 x 3 / 2 2. y = 1 4 x 4 / 3 3. y = 1 4 x 3 / 2 4. y = 1 2 x 4 / 3 5. y = 1 2 x 2 / 3 6. y = 1 4 x 2 / 3 003 10.0 points Find a Cartesian equation for the curve given in parametric form by x ( t ) = 3 cos 2 2 t , y ( t ) = 4 sin 2 2 t . 1. 4 x + 3 y = 12 2. x 3 - y 4 = 1 12 3. 3 x + 4 y = 12 4. x 4 - y 3 = 1 12 5. 4 x - 3 y = 12 6. x 4 + y 3 = 1 12 004 10.0 points Determine a Cartesian equation for the curve given in parametric form by x ( t ) = 4 ln(9 t ) , y ( t ) = t . 1. y = 1 3 e x/ 4 2. y = 1 4 e 6 /x 3. y = 1 3 e x/ 8 4. y = 1 3 e 8 /x 5. y = 1 4 e x/ 3 6. y = 1 4 e x/ 6 005 10.0 points Describe the motion of a particle with posi- tion P ( x, y ) when x = 4 sin t , y = 2 cos t as t varies in the interval 0 t 2 π .
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gonzales (pag757) – HW 06 – Odell – (57000) 2 1. Moves once clockwise along the ellipse x 2 16 + y 2 4 = 1 , starting and ending at (0 , 2). 2. Moves once counterclockwise along the ellipse (4 x ) 2 + (2 y ) 2 = 1 , starting and ending at (0 , 2). 3. Moves along the line x 4 + y 2 = 1 , starting at (0 , 2) and ending at (4 , 0). 4. Moves along the line x 4 + y 2 = 1 , starting at (4 , 0) and ending at (0 , 2). 5. Moves once counterclockwise along the ellipse x 2 16 + y 2 4 = 1 , starting and ending at (0 , 2). 6. Moves once clockwise along the ellipse (4 x ) 2 + (2 y ) 2 = 1 , starting and ending at (0 , 2). 006 10.0 points Which one of the following could be the graph of the curve given parametrically by ( x ( t ) , y ( t )) when the graphs of x ( t ) and y ( t ) are shown in 1 1 t x ( t ) : y ( t ) : 1.
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