The difference of two rational numbers is always negative true or false

Note: remember to show all of the steps that you use to solve the problem. be sure to use the text box where the question mark first appears to show your mathematical work. you can use the comments field to explain your work. your teacher will review each step of your response to ensure you receive proper credit for your answer. ! i will pay you to do this for me! will mark brainliest. i am not lying solve the following problem. jana buys a dress for $25.98 and a for $14.99. the total sales tax is $2.46. a. what is the total cost of her purchase? b. if jana pays with a $50 bill, how much change should she receive?

(a) compute the maclaurin polynomial m2(x) for f(x) = cos x. (b) use the polynomial of part (a) to estimate cos π 12. (c) use a calculator to compute the error made using the estimate from part (b) for the value of cos π 12. remember that the error is defined to be the absolute value of the difference between the true value and the estimate.

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) = .