Suppose an integral of the form $\int_a^bf(x)dx$ is approximated using one of the following methods. for each method, find the largest value of n such that the approximation will be perfect for all polynomials f(x) of degree $\leq$n .
a) the trapezoid rule
b) simpson's rule
c) guass-legendre quadrature using 3 points (or nodes)

The larger of two number is 4 less than twice the smaller number. the sum is 41. find the numbers

Based on the graph, what is the initial value of the linear relationship? a coordinate plane is shown. a line passes through the y-axis at -2 and the x-axis at 3.

Write an introductory paragraph for this corrie ten boom and her family were faced with some difficult choices after hitler came to power. some family members paid the ultimate price. write a carefully thought-out paper of at least 200 words dealing with the following concepts: --how should a christian act when evil is in power? --what do you think it would be like to live in an occupied country? remember to proofread anything you write thoroughly.