Let . The tangent to the curve has slope . Which of the following is its…

MATHEMATICS · Single correct · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions

Problem

Let

x=t^{2}+1,\;y=t^{3}

. The tangent to the curve has slope

4

. Which of the following is its equation? (a)

y=4x+\dfrac{364}{27}

(b)

y=\dfrac{3}{2}x-\dfrac{364}{27}

(c)

y=4x-\dfrac{364}{27}

(d)

y=4x-\dfrac{292}{27}