Question

. Consider the curve C = {(x, y) ∈ R 2 | x 4 + y...

. Consider the curve C = {(x, y) ∈ R 2 | x 4 + y 2 = 4x 2 + 3y}

(a) Find all intercepts of C. 1 MAST10005 Calculus 1 (b) Find the points in C where the tangent line is horizontal. Be careful to check the conditions given in Theorem 3.34. [Hint: there are 6 points in total.] 2 MAST10005 Calculus 1 (c) Find the points in C where the tangent line is vertical. Be careful to check the conditions given in Theorem 3.34. (d) Sketch C on the axes. Label all the points you found in (b) and (c). Abbreviations HT for Horizontal tangent and VT for Vertical tangent will save space in your labelling

please solve by implicit derivative

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