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Once they are established, NAEYC does not update its program standards.

Use the Trapezoidal Rule with 4 subintervals to approximate the integral \[\int_{0}^{3}\frac{1}{1+x^{3}}\] Give your answer to the nearest 0.0001.  

Find the slope of the tangent line to the curve \begin{align}x&=4t^{2}\\y&=t+t^{3}\end{align} at the point \(\left(4,2\right)\). Enter your answer as a decimal. Round to the nearest 0.01 if necessary.

What is the role of a program board or committee?

Describe the relationship between the director and board.

Find the following indefinite integral \[\int \frac{1}{x^{2}\sqrt{16-x^{2}}}\,dx\] Give your answer in the box below, using math input if necessary.

Find the indefinite integral \[\int \frac{x+2}{\left(x-1\right)\left(x+3\right)}\,dx\] Use the text box below for your answer, and use math input if you would like.

Which of the following indicates a classroom environment with an established sense of place?

In what way is program accreditation helpful to parents?

Who is in charge of the day-to-day operations of most programs?