Determine whether the integral is convergent or divergent. 0 −[infinity] z z4 + 81 dz convergent divergent If it is convergent, evaluate it. (If the quantity diverges, enter DIVERGES.)

Rewrite the following quadratic functions in intercept or factored form. show your work. f(x) = 3x^2 - 12

`if you have a set of parallel lines a and b cut by transversal x, if angle 1 = 167 degrees, what is angle 4 and why. also what is the measure of angle 5 and why? you need to use the names of the angle relationship and explain. ''.

Which of the following would be a correct step in proving that triangle abc is congruent to triangle cda? a. use a protractor to measure the angles and show that all the corresponding angles are equal in measure. this will allow you to prove congruence by aaa. b. show that segment ab is parallel to segment cd and segment ad is parallel to segment cb. this will allow you to prove congruency by asa. c. show that is segment ab is perpendicular to segment ad. this will allow you to prove congruence by sas. d. none of the above.