40 POINTS Find the derivative with respect to x of the integral from 2 to x squared of the cosine of the quantity t squared plus 1, dt.

(see picture attached)

Answer choices:
– 2xsin(x^4 + 1)
2xcos(x^4 + 1)
– 4x^3 sin(x^4 + 1)
4x^3 cos(x^4 + 1)

Solve the given system of equations. 2y= -x+9 , 3x-6= -15

The probability that a student graduating from suburban state university has student loans to pay off after graduation is .60. if two students are randomly selected from this university, what is the probability that neither of them has student loans to pay off after graduation?

Suppose that sahil knows that 45 people with ages of 18 to 29 voted. without using a calculator, he quickly says then 135 people with ages of 30to 49 voted. is he correct? how might sohil have come up with his answer so quickly?