- 13 Points Let F X Be A Function On 0 1 Defined By Lve 1 1 201 F X 1 1 Sin T Tan T Dt A Sh 1 (27.7 KiB) Viewed 10 times
(13 points) Let f(x) be a function on [0, 1] defined by LVE -1/1/201 f(x) = [] -1 -1 (sin-¹ (t³) - tan-¹ (t³)) dt (a) Sh
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(13 points) Let f(x) be a function on [0, 1] defined by LVE -1/1/201 f(x) = [] -1 -1 (sin-¹ (t³) - tan-¹ (t³)) dt (a) Sh
(13 points) Let f(x) be a function on [0, 1] defined by LVE -1/1/201 f(x) = [] -1 -1 (sin-¹ (t³) - tan-¹ (t³)) dt (a) Show that the function f(x) has exactly one root in (0,1). (State the theorems you use whenever necessary.) (b) Find the root of f(x) in (0, 1).