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3. (7 Points) Consider the space curve represented by Ro (3sint, 4cost, 2t), 0 s t...
Consider the parametric equations below. x = 2 + 4t y = 1-t2
Consider the parametric equations below. x = 2 + 4t y = 1-t2 (a) Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the curve is traced as t increases.(b) Eliminate the parameter to find a Cartesian equation of the curve. y = _______ Consider the parametric equations below. x = 3t - 5 y = 2t + 4 (a) Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the...
Part 1: A Space Curve Embedded on a Surface: (material HW1 & HW2) Space curve: *(t)...
Part 1: A Space Curve Embedded on a Surface: (material HW1 & HW2) Space curve: *(t) = (2e+sin(t),6e2t, 2e*cos(t)) A: Find the equation of a quadric surface on which the given space curve is embedded. B: Show the space curve is embedded on this quadric surface. C: Draw a LARGE 3-D diagram of the quadric surface in color (shade BLUE) on an entire page in Landscape and sketch the space curve on the surface in RED for Ost <2nt, label...
3) a) Sketch the curve represented by the given parametric equations. Label initial and terminal points....
3) a) Sketch the curve represented by the given parametric equations. Label initial and terminal points. Use an arrow to show direction. x = 2cost y = 3 sint osts b) Find the area between the curve and the x axis.
Questions 9-11 all deal with the same curve: Consider the curver(t) = (cos(2t), t, sin(2t)) Find...
Questions 9-11 all deal with the same curve: Consider the curver(t) = (cos(2t), t, sin(2t)) Find the length of the curve from the point wheret = 0 to the point where t = 71 O 75.7 G O 7/3.7 2. O 7V2.7 2 7.T 2 3 (Recall questions 9-11 all ask about the same curve) Find the arc-length parametrization of the curver(t) = (cos(26), t, sin(2t)), measure fromt O in the direction increasing t. Or(s) = (cos(V28), V28, sin(28)) Or(s)...
Find the curvature of the space curve. r(t) = -21 + (7 + 2t)j + (t2...
Find the curvature of the space curve. r(t) = -21 + (7 + 2t)j + (t2 + 5)k Ok=- 1 2012 Ver I 1 K= 2(2 + 1)3/2 Ok= 1 (2 + 1) 3/2 Oku- 1 2012-132
Consider the parametric equations below. - 2 y=+4 -3553 (a) Sketch the curve by using the...
Consider the parametric equations below. - 2 y=+4 -3553 (a) Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the 2 + 6 (b) Eliminate the parameter to find a Cartesian equation of the curve. for 1sYS 7 Need Help?
(7.5 points) Let C be the oriented closed space curve traced out by the parametrization r(t)...
(7.5 points) Let C be the oriented closed space curve traced out by the parametrization r(t) = (cost, sint, sin 2t), 0<t<27 and let v be the vector field in space defined by v(x, y, z) = (et - yº, ey + r), e) (a) Show that C lies on the cylinder x2 + y2 = 1 and the surface z = 2cy. (b) This implies that C can be seen as the boundary of the surface S which is...
1. [-/1 Points] DETAILS SCALCCC4 1.7.005. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Consider the parametric...
1. [-/1 Points] DETAILS SCALCCC4 1.7.005. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Consider the parametric equations below. x = 5t - 2 y = 3t + 1 (a) Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the curve is traced as t increases. (Do this on paper. Your instructor may ask you to turn in this work.) (b) Eliminate the parameter to find a Cartesian equation of the...
A Philips curve is represented by the following relationship: T 10(U-U) +s where sis a supply shock tem, on average equal to zero. Draw the Philips curve when l-7% and underlying inflation 3% and...
A Philips curve is represented by the following relationship: T 10(U-U) +s where sis a supply shock tem, on average equal to zero. Draw the Philips curve when l-7% and underlying inflation 3% and 60%. Okun's Law is Draw the aggregate supply schedule when Y -10,000.
A Philips curve is represented by the following relationship: T 10(U-U) +s where sis a supply shock tem, on average equal to zero. Draw the Philips curve when l-7% and underlying inflation 3% and...
0 t t 0, 1 Question 3 (25 points). Consider the differential equation y' T(xy), where T(t)= 0 -1 t0. (a). Draw the...
0 t t 0, 1 Question 3 (25 points). Consider the differential equation y' T(xy), where T(t)= 0 -1 t0. (a). Draw the direction field for this DE. (You need only draw 25 line segments in the grid provided.) (b). Verify that y 0 is a solution on the interval (-oo, oo). (c). Explain why y = |x|+1 is not a solution on the interval (-1,1). (d). Explain why y = |z - 4| is not a solution on the...
Part 1: A Space Curve Embedded on a Surface: (material HW1 & HW2) Space curve: *(t) = (2e+sin(t),6e2t, 2e*cos(t)) A: Find the equation of a quadric surface on which the given space curve is embedded. B: Show the space curve is embedded on this quadric surface. C: Draw a LARGE 3-D diagram of the quadric surface in color (shade BLUE) on an entire page in Landscape and sketch the space curve on the surface in RED for Ost <2nt, label...
3) a) Sketch the curve represented by the given parametric equations. Label initial and terminal points. Use an arrow to show direction. x = 2cost y = 3 sint osts b) Find the area between the curve and the x axis.
Questions 9-11 all deal with the same curve: Consider the curver(t) = (cos(2t), t, sin(2t)) Find the length of the curve from the point wheret = 0 to the point where t = 71 O 75.7 G O 7/3.7 2. O 7V2.7 2 7.T 2 3 (Recall questions 9-11 all ask about the same curve) Find the arc-length parametrization of the curver(t) = (cos(26), t, sin(2t)), measure fromt O in the direction increasing t. Or(s) = (cos(V28), V28, sin(28)) Or(s)...
Find the curvature of the space curve. r(t) = -21 + (7 + 2t)j + (t2 + 5)k Ok=- 1 2012 Ver I 1 K= 2(2 + 1)3/2 Ok= 1 (2 + 1) 3/2 Oku- 1 2012-132
Consider the parametric equations below. - 2 y=+4 -3553 (a) Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the 2 + 6 (b) Eliminate the parameter to find a Cartesian equation of the curve. for 1sYS 7 Need Help?
(7.5 points) Let C be the oriented closed space curve traced out by the parametrization r(t) = (cost, sint, sin 2t), 0<t<27 and let v be the vector field in space defined by v(x, y, z) = (et - yº, ey + r), e) (a) Show that C lies on the cylinder x2 + y2 = 1 and the surface z = 2cy. (b) This implies that C can be seen as the boundary of the surface S which is...
1. [-/1 Points] DETAILS SCALCCC4 1.7.005. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Consider the parametric equations below. x = 5t - 2 y = 3t + 1 (a) Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the curve is traced as t increases. (Do this on paper. Your instructor may ask you to turn in this work.) (b) Eliminate the parameter to find a Cartesian equation of the...
A Philips curve is represented by the following relationship: T 10(U-U) +s where sis a supply shock tem, on average equal to zero. Draw the Philips curve when l-7% and underlying inflation 3% and 60%. Okun's Law is Draw the aggregate supply schedule when Y -10,000.
A Philips curve is represented by the following relationship: T 10(U-U) +s where sis a supply shock tem, on average equal to zero. Draw the Philips curve when l-7% and underlying inflation 3% and...
0 t t 0, 1 Question 3 (25 points). Consider the differential equation y' T(xy), where T(t)= 0 -1 t0. (a). Draw the direction field for this DE. (You need only draw 25 line segments in the grid provided.) (b). Verify that y 0 is a solution on the interval (-oo, oo). (c). Explain why y = |x|+1 is not a solution on the interval (-1,1). (d). Explain why y = |z - 4| is not a solution on the...
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