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10 Nov 2019
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Consider the parametrically defined space curve z = 4t2, y = 5t3, z = 3t2 for 0 t 1. What are the end points of the curve? Find the exact value of the arclength of the curve. Be sure to show all calculations. Suppose that the position of an object is defined by the position vector r(t) = 8sin2t + 1, t, 1 - 8cos2t for any time t. Find the velocity, speed and acceleration of the object at any time t. Show that the acceleration vector is perpendicular to the velocity vector at any time t. What fact about the speed of the object would indicate that this would be the case? Let z1 = 5-i and z2 = -5+3i be complex numbers. Find z1-z2 z1z2 z1/(2z1+z2) Express the exact value of all answers in standard form. Let z = z1+z2. Find the magnitude of z and the principal argument of z and use these values to find exact values for the square roots of z.
please solve
Consider the parametrically defined space curve z = 4t2, y = 5t3, z = 3t2 for 0 t 1. What are the end points of the curve? Find the exact value of the arclength of the curve. Be sure to show all calculations. Suppose that the position of an object is defined by the position vector r(t) = 8sin2t + 1, t, 1 - 8cos2t for any time t. Find the velocity, speed and acceleration of the object at any time t. Show that the acceleration vector is perpendicular to the velocity vector at any time t. What fact about the speed of the object would indicate that this would be the case? Let z1 = 5-i and z2 = -5+3i be complex numbers. Find z1-z2 z1z2 z1/(2z1+z2) Express the exact value of all answers in standard form. Let z = z1+z2. Find the magnitude of z and the principal argument of z and use these values to find exact values for the square roots of z.