the figure above shows the graph of the differentiable function g and the line tangent to the graph of g at the point (5, 2). let f be the function given by f(x) = [tex]\int\limits^x_0 g{t} \, dt[/tex] . Let h be the function with first derivative given by h'(x) = x²sin([tex]\frac{x}{3}[/tex]) for 0 < x < 7. If the line tangent to the graph of h at x = a is parallel to the line tangent to the graph at x = 5, what is the value of a?

a) 1.273
b) 1.857
c) 2.572
d) 24.885