Find the minimum value of n that guarantees an error of no more than 1/30,000 in approximating integral 1/x dx from 3 to 4 by the trapezoidal rule with n equal subintervals.

Multiply −2x(6x^4−7x^2+x−5) express the answer in standard form. enter your answer in the box.

The diameter of a ball is 8 in. what is the volume of the ball? use 3.14 for pi. enter your answer as a decimal in the box. round only your final answer to the nearest hundredth.

Ur environment is very sensitive to the amount of ozone in the upper atmosphere. the level of ozone normally found is 4.04.0 parts/million (ppm). a researcher believes that the current ozone level is not at a normal level. the mean of 2525 samples is 4.44.4 ppm with a standard deviation of 0.80.8. assume the population is normally distributed. a level of significance of 0.020.02 will be used. make the decision to reject or fail to reject the null hypothesis. answer tables