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3. (8 marks) A function y(1) obeys this relationship: y' = ry² + ar?, where a is a constant. (a) Determine the value of a such that the tangent line to the graph of y(«) at (1,1) passes through (2,5). (b) For this a value, determine the concavity of the function at r= 1.

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Elin Hessel
Elin HesselLv2
7 Jun 2018
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2. (12 points) I 2? + 3.0 -1 if > 2 (a) Let f(x) = { Find all values of k such that f is k2.– 1-1 if I<2 continuous at r = 2. (b) Find the point(s) on the curve y² +ry-r? = 9 where the tangent line is parallel to the line 2.0 + 4y +3=0.

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