Given the table below for selected values of f(x), use 6 trapezoids to estimate the value of the integral from 1 to 10 of f(x) dx. x 1 3 4 6 7 9 10 f(x) 4 8 6 10 10 12 16

This is the number of parts out of 100, the numerator of a fraction where the denominator is 100. submit

If f(x)=x^3 and g(x)=2x+7 when g(x)=-5

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?