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Please help me with this question Consider the function f : R3 - R3, f(u, v, w) = 5(cos u, sin u, 0) + w

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Consider the function f : R3 - R3, f(u, v, w) = 5(cos u, sin u, 0) + w cos v(cos u, sinu, 0) + w sin v(0, 0, 1) (a) For v E R fixed, let ov : R - R3 be the linear motion av(u) = (u, v, 1). Sketch and describe the parametric curve four: R - R3 (b) For u E R fixed, let Bu: R - R3 be the linear motion Bu(v) = (u, v, 1). Sketch and describe the parametric curve fo Bu: R - R3 (c) Sketch and describe the transformation effect of f on the plane w = 1 in R3. (d) At every (u, v, w) ER' compute matrix representing the total derivative of f. (e) Find all (u, v, w) E R3 for which D(u,v,w) f is not invertible

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