The graph below shows a function f(x). Determine whether each of the following integrals would be positive, negative, or neither. 4 3 2 A. 1 1 2 3 4 5 16 7 -2 -1 CN NE -2 -3 -4 -5 0 a.) f f(x) dx [Select ] i f(x)dx 4 b.) ff(x) dx [Select] f(x) dx -2 6 c.) ff(x) dx [Select] if(x)da

Q: Find where the function is increasing. 2 y = x² - 3lnx, (x > 0)

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Q: Where does the graph of the function h (x) = x* + 3z² – 4 cross the x-axis? %3D O x= -1 and x = 1 O…

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Q: Find the values of c and d that make the function continuous. C = d= f(x) = 6x cx²+d 7x if x 2

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Q: Express the given function h as a composition of two functions f and g so that h(x) = (f o g)(x). 1…

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Q: Evaluate √a²-x² -√√a²-x² { 2xy dx dy

A: The given integral ∫0a∫-a2-x2a2-x22xy dx dy.

Q: For f(x) = 5x – 1 and g(x) = 5x2 - 1, find the following functions. %3D a. (fo g)(x); b. (g o f)(x);…

A: Given f(x)=5x-1 and g(x)=5x2-1fog(x)=In place of x of f(x) substitute g(x)fog(x)=f(g(x))=5(5x2-1)-1…

Q: 3. If f(x) = x² + 2x + 1, find f(x + h) where h is a variable.

A: fx=x2+2x+1

Q: Match each function f with a function g so that (fog)(x) = x². (x² + 2)² (²-2)² x² - 2x + 1 :: 2 ln…

A: I am going to solve the problem by using some simple calculus to get the required result of the…