Question 10 1 pts The following equalities are False in general. For each statement, find a function f showing that the statement is False. Explain and justify your answer. 2 . [f(x)]'dx = f(x) de 1 dx = In |f(*)| +C . f(x) Upload Choose a FileQuestion 6 1 pts If the function f {1:} solves the initial value problem 3: = (a: + IIII'll?" 1r~ oos(m) then what is y(8} ? Write a decimal answer. rounded to two decimal places. Question 7 1 pts For each statement, decide whether it is necessarily True, or whether it can be False. . If F() is an antiderivative of f(x) =x , then F'(x) =2x. [ Select ] . If F(@) is an antiderivative of f(I) , and G(@) is an antiderivative of g(@) , then F(x) +G(x) is an antiderivative of f(x) +g(x) . [ Select ] . If F(c) is an antiderivative of f(x) , and G(@) is an antiderivative of g(x) , then F(x) .G(x) is an antiderivative of f(x).g(x). [ Select ] . If F1 and F2 are two antiderivatives of f , then F1 =F2 . [ Select ] vQuestion 8 1 pts (ex/2 - 2). ( ex/2 + x) du = O e + C Oex - x' + 0 O (Ger/2+ 1) . (er/2 - 1) + C (2. ( 3 / 2 + 2 ). 2 07/ 2 _1- + CQuestion 9 1 pts 1 Select all the antiderivatives of f(x) = + r2 + 1 OF(x) = In (x| + Inc- +1) OF(x) = In x + tan 'x OF(x) = In |3x| + tan-'x OF(x) = In x + tan '(3x) OF(x) = In x + tan '(x2 + 1)