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)

In the coordinate plan (-6,9) b (3,9) c (3,3) def is shown in the coordinate plan below

The amount of money, in dollars, in an account after t years is given by a = 1000(1.03)^t. the initial deposit into the account was $_^a0 and the interest rate was _a1% per year. only enter numbers in the boxes. do not include any commas or decimal points^t. the initial deposit into the account was $__^a0 and the interest rate is % per year.

Acompany wants to reduce the dimensions of its logo by one fourth to use on business cards. if the area of the original logo is 4 square inches, what is the area of the logo that will be used on the business cards?