1. Consider the integral function cos(t)dt, 0 x 2 (a) [3 marks] Use Maple to fill...

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1. Consider the integral function cos(t)dt, 0 x 2 (a) [3 marks] Use Maple to fill in the following table of values. Range = = F(x) = 2 O (b) [3 marks] What is the range of F(x) on the indicated domain? Justify your answer with a sketch. -1 y 1 Sin 1 - - 0.5 TX 0 X 0 11/13 1 2 F(x) 0 1 O 0.5 A 0.5 1 2 (c) [5 marks] Find F'(x) by hand and check your result with Maple. Use F'(x) to determine where F(x) is increasing or decreasing. F'(x)=d [ { "casitiat] 0 dn I 2 - 1.5 1. Consider the integral function cos(t)dt, 0 x 2 (a) [3 marks] Use Maple to fill in the following table of values. Range = = F(x) = 2 O (b) [3 marks] What is the range of F(x) on the indicated domain? Justify your answer with a sketch. -1 y 1 Sin 1 - - 0.5 TX 0 X 0 11/13 1 2 F(x) 0 1 O 0.5 A 0.5 1 2 (c) [5 marks] Find F'(x) by hand and check your result with Maple. Use F'(x) to determine where F(x) is increasing or decreasing. F'(x)=d [ { "casitiat] 0 dn I 2 - 1.5