2. Expand. (a) 2+² (b) e-lnx (c) log3 (2xy)

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Q: Exercise 11 Evaluate the limit lim x → T 6 sin x + x- 품) 1/3/5/6 - 1

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A: Expand the logarithmic expression.

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A: I am attaching image so that you understand each and every step.

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Q: (ii) (x - ²)4

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Q: Question Let h(x) = f(g(x)). If g(5) = −3, g'(5) = −4, f(-3) −4, ƒ(−3) = −1, and f'(-3) = -5, find…

A: Let hx=fgxIf g5=-3, g'5=-4, f-3=-1, and, f'-3=-5, then to find h'5.

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Q: For the function f(x) = 3x² - 4x, evaluate and fully simplify each of the foll f(x + h) = f(x…

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Q: 5. Let U(x, y) be the utility function for two goods, X and Y, given by xy² x- Y U au au Find the…

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Q: compare Exact and Non-Exact Differential Equation

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Q: Using Boole's Rule, evaluate the integral of a. √x cos(2x² + 7)dx b. In(x + 2) dx

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Q: Given that; f(2)=2, f'(2)=3 g(2)=6, g'(2)=4 Calculate the following (fg)/2= (f/g)'(2)= (g/f)'(2)=

A: Please see the below picture for detailed solution.

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Q: y=x^2, y=x^3 between x=0 and x=2

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