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l Identify the critical points. Then use the test of your choice to decide which critical points give a local maximum value and which give

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l Identify the critical points. Then use the test of your choice to decide which critical points give a local maximum value and which give a local minimum value. Give these values. X x2+1a six} = 0 Critical points: -41 01 4: local maximum ail = %; local minimum fi-tijl = -% 1 1 0 Critical points: at 4: local maximum mi) = E; local minimum f{4J = E CI No critical points; nu local minima or maxima 0 Critical points: at 4; local maximum flan = fiat} =% Find the limit, if it exists. 19 -x lim x -9 9- X O Does not exist O1 O -1\fSolve the problem. 8 S 4 Suppose that f and g are continuous and that f(x) dx = -5 and g(x) dx = 10. Find [g(xx) - f(x)] dx . O 5 O -5 O -15 O 15\fFind the derivative of y with respect to x. y = sin -1 (e 6t) O ebt Al - el2t O -6 ebt W1 - el2t O 6 e6t 1 - =36t O 6 e6t V1 - el2t\fFind the value or values of c that satisfy the equation f(b) - f(a) b- a - = f(c) in the conclusion of the Mean Value Theorem for the function and interval. f(x) = x + + 0 such that for all x, 0

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