Mathematics

Mathematics

Problem

Let x=t2+1,  y=t3x=t^{2}+1,\;y=t^{3}. The tangent to the curve has slope 44. Which of the following is its equation? a) y=4x+36427y=4x+\dfrac{364}{27} b) y=32x−36427y=\dfrac{3}{2}x-\dfrac{364}{27} c) y=4x−36427y=4x-\dfrac{364}{27} d) y=4x−29227y=4x-\dfrac{292}{27}

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