Use forward and backward difference approximations of o(h) and a centered difference approximation of o(h2) to estimate the first derivative of the function examined in prob. 4.13(f (x) =25x3−6x2+7x −88). evaluate the derivative at x =2 using a step size of h=0.25. compare your results with the true value of the derivative. interpret your results on the basis of the remainder term of the taylor series expansion.

What is the volume of this square pyramid?

Two language majors, anna and megan, took exams in two languages. anna scored 85 on both exams. megan scored 74 on the first exam and 85 on the second exam. overall, student scores on the first exam had a mean of 82 and a standard deviation of 4, and the second exam scores had a mean of 71 and a standard deviation of 13. a) to qualify for language honors, a major must maintain at least an 85 average across all language courses taken. so far, which of anna and megan qualify? b) which student's overall performance was better?

Two customers went to a post office. first customer paid $12 for 14 and 5 envelopes the second paid 24.80 for 10 postcards and 15 envelopes. what is cost of each envelope?