a vector-valued function R(t)=Ro+ tV such that R(t) de- scribes the line through P and Q. 5. Let P (-2, 1) and Q (3, 2) be points in the plane. Find a vector-valued function S(t) = cribes the line through P and Q. So+tu such that S(t) des- Let P be the vector-valued function P(t) = (sin t, cos t). What curve is traced by P? Draw a picture of this curve. (a) (b) Draw the vector P'(T/3) at the point corresponding to t = r /3 on the picture you produced in part (a). (c) Find a vector equation for the line tangent to the curve at tπ/3. 7. Let P be the vector-valued function P(t)= (2 cos t, sin t). (a) What curve is traced by P? Drawa picture of this curve. (b) Draw the vector P'(T/6) at the point corresponding to t r/6 on the picture you produced in part (a). (a vector equation for the line tangent to the curve 18 Eind

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