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2. [7 points] A table of values for a differentiable and invertible function q(x) and its derivative q'(x) are shown below. Note that this is
2. [7 points] A table of values for a differentiable and invertible function q(x) and its derivative q'(x) are shown below. Note that this is the same function q as on the previous page. However, you do not need your work or answers from the previous page to do this problem. -3 -2 0 1 2 3 14 10 3 2 -6 15 d' (x) -10 -12 0 -2 -5 -6 Let C be the curve defined implicitly by the equation ry" + sin(2nq(x)) = 6e-4 + 10. a. [1 point] Exactly one of the following points (x, y) lies on the curve C. Circle that one point. (-2, 1) (1, 4) (0, 4) (0, 10) b. [6 points] Find an equation for the tangent line to the curve C at the point you chose in part a. Make sure to show your work clearly
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