Find the unit vectors that are parallel to the tangent line to the curve y = 8 sin x

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• Find the unit vectors that are parallel to the tangent line to the curve y = 8 sin x
• Find the unit vectors that are parallel to the tangent line to the curve y = 8 sin xat the point (π/6,4).(Enter your answer as a comma-separated list of vectors.)
• The point P(7,-4)lies on the curve y=4/(6-x)(a) If Q is the point(x,4/6-x),use your calculator to find the slopemPQ of the secant line PQ (correct to six decimal places) for the following values of x.(1) 6.9 mPQ=?(2) 6.99 mPQ=?(3) 6.999 mPQ=?(4) 6.9999 mPQ=?(5) 7.1 mPQ=?(6) 7.01 mPQ=?(7) 7.001 mPQ=?(8) 7.0001 mPQ=?(b) Using the results of part (a),guess the value of the slope m of the tangent line to the curve at P(7,-4),m=?(c) Using the slope from pa
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