Find the area of a region enclosed by the parabolas f(x) = x2 +1 and g(x) = x and the lines x = -1 and z = 0. NOTE: x² +1>r² for all z in (-1,0). O -5 0 1 O None of the choices 0 5

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Q: Find the area of the shaded region. 1) f(x) = x3 + x2 - 6x %3D 30+ g(x) = 6x 20- (3, 18) 10+ (0:0)…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

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A: Find the area between the curves

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Q: Find c > 0 such that the area of the region enclosed by the parabolas  y = x2 -c2 and y = c2 - x2…

A: Explained below

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A: Given information:- Find the value(s) of c such that the area of the region bounded by the parabolae…

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A: Given :           Equation of curves as :                  y = 9 - x , y = 0 Formula :           A =…

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Q: 3. Let R be the region below bounded by the parabola y = 4x² and the lines 3x - 2y +3=0 and y = = 0.…

A: Follow the procedure given below.

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A: Please follow the next step.

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A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

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A: As per the question we are given two parabolas defined as : P1  :  y2 = 4(p+1)(x+p+1) P2  :  y2 =…

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A: (a) Given: x=y2-4……1x-2y=1……2

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A: Topic = Area

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Q: Q.5 Using Green's theorem to evaluate f[(2x² – y²)dx + (x² + y²)dy], where C is the boundary of the…

A: Introduction: Green's theorem is a significant theorem in calculating the line integral. This…

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A: area between curves

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Q: the and g(X)=x²-6x+5 sketch the region over the interval 0 sxs 1.

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Q: 8. Evaluate F. dr using Stoke's theorem when F = (2xy — x²)ī — x² − y² )ī and C is the boundary of…

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Q: 3- Find the area between the parabola x² = 4y and the straight line x-2y + 4 = 0

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Q: Find the value of c > 0 such that the area of the region bounded by the parabolas x² - c and c2 -x²…

A: Sketch the region and integrate in x variable.

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A: All options are incorrect.

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A: The objective is to find the area of the shaded region.

Q: Find the area of the shaded region. 12) f(x) = -x3 - x² + 20x, g(x) = 0 %3D see pape 50- 40- 30-…

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Q: Find the area of the region bounded by the graphs of the given equations. b) f(x)=2x2-6x+5,g(x)=x2+…

A: See below the answer and calculation

Q: f(x) = x2 – c² and g(x) = c² – x². Find c > 0 such that the area of the region enclosed by the…

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Q: hade the area of the region bounded by the parabola, x 2 +p2-2(p+7)x-5y+59 + 14p 0 and the straight…

A: Area is a 2-dimensional quantity, it is the measure of 2-dimensional space enclosed by any shape.…