Write an integral that computes the arclength of the curve y=ex/2 between x=0 and x=2.arc length =20correct: your answer is correct. dxnow use simpson's rule with n=4 subintervals to estimate the value of the integral. give your answer accurate to four decimal places.

Select all the correct statements. the amount in dollars an electrician charges in terms of the number of hours worked is represented by the function y = 22x + 42. from the function, identify all the phrases that hold true for the situation. the electrician charges an initial fee of $22 the y-variable represents the number of hours the electrician charges an initial fee of $42 the electrician charges $22 for every hour worked the x-variable represents the electricians charges in dollars the electrician charges $42 for every hour worked

Solve 3x-18=2y and 5x-6y=14 by elimination or substitution . show all !

Prove (a) cosh2(x) − sinh2(x) = 1 and (b) 1 − tanh 2(x) = sech 2(x). solution (a) cosh2(x) − sinh2(x) = ex + e−x 2 2 − 2 = e2x + 2 + e−2x 4 − = 4 = . (b) we start with the identity proved in part (a): cosh2(x) − sinh2(x) = 1. if we divide both sides by cosh2(x), we get 1 − sinh2(x) cosh2(x) = 1 or 1 − tanh 2(x) = .