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- The motion of a point on the circumference of a rolling wheel of radius 4 feet is described by the vector function r(t) = 4(12t - sin(12t))i + 4(1 − cos(12t))j Find the velocity vector of the point. v(t) = Find the acceleration vector of the point. a(t) = Find the speed of the point. s(t) = =The motion of a point on the circumference of a rolling wheel of radius 5 feet is described by the vector function r(t) = 5(11t sin(11t))i +5(1 − cos(11t))] Find the velocity vector of the point. v(t) Find the acceleration vector of the point. ä(t) = Find the speed of the point. s(t) =The motion of a point on the circumference of a rolling wheel of radius 4 feet is described by the vector function r(t) = 4(18t – sin(18t))i + 4(1 − cos(18t)) Find the velocity vector of the point. v(t) = Find the acceleration vector of the point. a(t) = Find the speed of the point. s(t)
- The motion of a point on the circumference of a rolling wheel of radius 2 feet is described by the vector function r(t) = 2(23t sin (23t))i + 2(1 - cos(23t))j - Find the velocity vector of the point. v(t) = Find the acceleration vector of the point. a(t) = Find the speed of the point. s(t) =The motion of a point on the circumference of a rolling wheel of radius 3 feet is described by the vector function 7(t) = 3(26t – sin(26t))i + 3(1 – cos(26t))} Find the velocity vector of the point. (?)a Find the acceleration vector of the point. d(t) Find the speed of the point. s(t)The motion of a point on the circumference of a rolling wheel of radius 3 feet is described by the vector function 7(t) = 3(13t – sin(13t))ỉ + 3(1 – cos(13t)) Find the velocity vector of the point. v(t) = Find the acceleration vector of the point. a(t) = Find the speed of the point. s(t) =
- Q5: al State and prove the theorem of derivative of inverse functions. -1 bl Use the theorem steps in (a) to find df/dx of f(x) = secx. c\ If u = i + j-k, v = 2i+j+ k, w = -i- 2j + 3k are three vectors, find (1) the area of the parallelogram determined by vectors u and v and (2) the volume of the parallelepiped determined by the vectors u, v, and w.The position vector r describes the path of an object moving in the xy-plane. Position Vector Point r(t) = 2 cos ti + 2 sin tj (VZ, V2) (a) Find the velocity vector, speed, and acceleration vector of the object. v(t) = s(t) a(t) = (b) Evaluate the velocity vector and acceleration vector of the object at the given point. a(#) =Find the directional derivative of the function at the point Pin the direction the unit vector u = cos ôi + sin 0j. Sketch each the graph of the function, t point P, and the unit vector u. 2. f(x,y) = sin(2x + y), P(0, n), 0 = -.
- The motion of a point on the circumference of a rolling wheel of radius 5 feet is described by the vector function F(t) = 5(24t - sin(24t))i +5(1 - cos(24t))j Find the velocity vector of the point. v(t) Find the acceleration vector of the point. ä(t) 2880 sin (24t)i + 2880 cos (24t)j✔ CABAME 120(1- cos (24t) )i + 120 sin (24t)j✔ Find the speed of the point. s(t) 240 sin (12t) wwwww Submit Question X Q Search EO HThe motion of a point on the circumference of a nolling wheel of radius 4 feet is described by the vector function F(0) - 4(26t sin(261))i + 4(1 - cos( 26 Find the velocity vector of the point. ü(t) = Find the acceleration vector of the point. a(t) Find the speed of the point. s(t)= Submit QuestionThe motion of a point on the circumference of a rolling wheel of radius 5 feet is described by the vector function F(t) = 5(12t - sin(12t))? +5(1 cos(12t))) Find the velocity vector of the point. (t) = 60(1- cos (12t)i + sin(12t)j) × Find the acceleration vector of the point. ä(t) = 720(sin(12t)i + cos (12t)j) ✓ Find the speed of the point. s(t) = 120 sin (6t) (Write i, j, k for 2,5, k.) Submit Question