## 1431EMCF02

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## 1431EMCF02

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- Pages:
- 3
- School:
- University of Houston
- Course:
- Math 1431 - Calculus I

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Math 1431 Fall 2017 EMCF 2 Covers 1 5 2 1 and 2 2 Due Thursday 9 21 at 11 59pm Instructions Submit this assignment at http www casa uh edu under EMCF and choose EMCF 2 1 If f 2 3 and f 2 1 find an equation of the tangent line when x 2 a y 3 2 x 1 b y 2 3 x 1 c y 1 2 x 2 d y 3 1 x 2 e none of the above 2 If f x x 2 x which of the following will calculate the derivative of f x x lim a 2 x h x 2 x h h 0 x lim b 2 x h x 2 x x 0 h c x h 2 x h x 2 x lim x 0 h d x h 2 x h x 2 x lim h 0 h e none of these 3 Let f x x 2 3x Give the value of lim h 0 a b c d e f 1 1 2 DNE 2 None of these f 1 h f 1 h 4 Give the slope of the tangent line to the graph of f x x 2 2 x at the point where x 1 a b c d e f 2 0 1 DNE 1 None of these 5 Differentiability implies continuity a b True False 6 Continuity implies differentiability a b True False x x2 x 2 7 Give a value of A so that the function f x 2 is continuous x Ax x 2 a 1 b 0 c There is no such value d 2 e 3 f None of these 8 The Intermediate Value Theorem can be used to show that there is a solution to on 2 4 a b True False 9 Let f x a b c d e f 1 f 1 h f 1 Give the value of lim h 0 2x 1 h 2 9 2 9 1 3 DNE 1 3 None of these 10 Give the smallest value of x for which the derivative of f x x3 3 x 2 is 0 a 1 b 1 c 2 d 2 e 0 f None of these

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