1. Let f(x)= x²+x-6 |x2| 7 x b 2 x + a 3 2 if x < 2 if x = 2. Find the value of a and b such that lim f(x) exists. x-2 if x > 2

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A: Topic = Limits

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A: The given function is G(x)=x2             for x&lt;2-x+6     for x&gt;2 We have to find the…

Q: Question 32 Evaluate /(x+1)√x+2dx. 2 0²/(x+2) 5/² - ²/² (x+2) ³/²2+ C 3 4 0²/(x+2) 5/² = (x+2) ³/² +…

A: INTRODUCTION Aim:  An indefinite integral is an antiderivative of a function, which is a function…

Q: Find lim (₁x) (0,0) (x²-16) (0₁ [(x-4)² ty ²] if it exists

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Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) 25 - x² x−-5\ 5x2 + x3 lim

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Q: Find the minimum and maximum values of the function f(x, y) = 5xy subject to the constraint 4x² + y²…

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Q: Using the method of u-substitution, 1² (₁2- (4x - 4)5 dx = [² a where u = 4x-4 du = 4 a = 8 b = 12…

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Q: Question 20 The point where the curve changes its concavity is called O critical point point of…

A: The point where the curve changes its concavity is called _____