Consider the region bounded by y = x² and y = -7x + 44. (a) Which of the following is a sketch of the region? (not drawn to scale) (1) (3) X X X (1) (3) (b) Which of the following can be used to find the area of the region? 11 (x² + 7x - 44) dx 0f41- -11 11 of L₁₁ (-7. p/ of -11 [₁₁ (x² + 7x - 44) dx 11 (-7x +44 + x²) dx (-7x + 44 - x²) dx X (-7x + 44 - x²) dx X X

Q: 5) Sketch the graphs of the functions f and g. f(x) = x2, g(x) = 1/x2   Find the area of the region…

A: Given: fx=x2, gx=1x2 To determine: The graphs of the  given function and the area enclosed by these…

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Q: 3 а) J(x2 + 2х + 3) dx

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Q: Q5) A) Graph the curve Y= - 2x (x -4)(x + 6)(x - 2) between the value of x (0, 41. then find the…

A: y=2x(x-4)(x+6)(x-2)

Q: Refer to the graph of f(x) on the interval [-2, 4] shown below. Which of the following would give…

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Q: 4x2+6x+1 dx (x+3)(x²+2x+2)

A: =?

Q: which is enclosed by the functions f(x) = 2x and g(x) = x³ – 2x. Find the area of this region,…

A: fx =2x , g(x) =x3-2x Here use formula of area of bounded region =∫ab|fx-gx |dx find  a and b here…

Q: (6; 55) y f(x) =x' -2x + 3x (0,50; 0,77) 1 4 (2,63;-5.22) On the left, between a 3rd order function…

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Q: Q2 Which of the following is the area of the shaded region in the figure below y = f(x) (0,-3),…

A: Shaded area can be divided into two parts

Q: .  (a) Sketch the graph of y = 2x2 over the interval [-1,1] (b) Let x be any point in the interval…

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Q: Find the area of the figure surrounded by the two curves given. y = 2x² (1) 5x + 4, y = 3x − 2 ) y =…

A: The region is bounded by the given curves,1) 2) .We have to find the area of the region.

Q: dx 12. 4+16x2

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Q: 0 g(x) (1- /1- (a + 1)²)da -x2 Interpret g(1) as an area.

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Q: 6. dx = x + 4x + 5 (A) arctan(x + 2) + C (B) arcsin (x + 2) + C (C) In|r*+ + 4x + + C 1 (D) + C x° +…

A: Proceed as shown below...

Q: The profit function (in dollars) for a product is given by P(x) = 8x° – 0.25x + 1000, 0 <x< 24. Find…

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Q: (a) Sketch the area of the region bounded by f(x) = 3– y² and f (x) = x- 1.

A: As Q(b) is not given completely then I am solving only Q(a). Kindly post remaining question as next…