In Exercises 33-42, find a counterexan the statement is false. 33. x>- 34. x+x > x 35. x' > x 36 x +yl = \x] + ]yl %3D 37. -x< x (x + 1)(x - 1) 38. (x- 1) undefined. x +1 Hint: D

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A: We need to plot the given functions.

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Q: 4. Find the Laplace transform of the following function. if 0 4. f(t) = t, 4e-t+4,

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

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A: Use function composition and division rule

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A: Consider the given function,

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Q: 410 3. h(x) = { x -1<x<1 Domain: 21 Range: 6-5-4 -3 -2 -1 0 9 123 45 %3D = (8) -2+ -3- %3D (0)4 -5+…

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Q: 8. and If sa)3 7-3 g(1)= 1+ 5, find the domain of 6 B. (-5,7] A (-00,-5) U (-5,7] C. (7,0) D. (-5,7)…

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Q: Solve 1. (x+4)(x+2)(x-3)≤0 2. (x+3)2 (x-1)2 > 0

A: 1. (x+4)(x+2)(x-3)≤0 (x+4)(x+2)(x-3) = 0 x +4 = 0       or    x+2 = 0         or x-3 =0 x= -4…

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Q: Refer to Example 3 to find a value of 8 > 0 such that 1 then 1 If 0 < |x – 3| < 8, < 10-4 3 - - -

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