URGENT PLEASE DO EVERY QUESTION AS THEY BELONG TO THE SAME SET OF EXERCISES THAT I NEED TO STUDY FOR MY CLASS PLEASE AND THANK YOU

the first image is a different question. the last three belong to the same thank you

A function y = f(t) is defined and continuous for all real numbers t on the closed interval [25, 6.5]. The rst derivative, 91' = f'(t) is sketched below. For each question, give a short and brief explanation. (a) At what value(s) of t does the function f has critical point(s)? (b) On what open interval(s), the function f is decreasing. (c) At what t va|ue(s) does the function f has local minimum point(s)? (d) On what open interval does the graph of f concave down on? (e) At what if values does the graph of f has inflection point(s)? Q7 12 Points In each of the following parts, select the ONE option that best answers the question. Q7.1 6 Points Let g(t) = t* + ct + d, where c and d are real constants. What can we say about the critical points of g? q(t) has only one critical point at t = 2 O g(t) has no critical points if c > 0. g(t) has only two critical points at t = O g(t) always has at least one critical point. Save AnswerQ7.2 6 Points Let h(t) = t4 - 2t2 + d, where d is a real constant. On what interval(s) is h(t) concave up? O (-00, 00) 0 ( -00 , - V 3 ) U ( V 3 , 00) O (-V3, V3) O (-1, 0) U (1, 00) Save