Q1/A: Evaluate the area under the curve y = -3x2 + 6x + 5 between x = 0 and x = 2

Q: Q2/ Find the area of a region bounded by the curve f(x) = 8x' and x-axis and the two lines x=1, x=3.…

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Q: 5 Find the area under the curve y = - over the interval [4, 7]. (3x + 1)² Enter the exact answer.…

A: Area under the curve y = f(x) from a to b is : A = ∫abf(x)dx

Q: The area bounded by y = x2 + 5 and the caxis from x = 0 to a = 5 is

A: given, and the x-axis from x = 0 to x = 5 we have to find area bounded by .

Q: Find the area beneath the curve g(x) = 8x + 3x2 from x = 5 to x = 6

A: Given function is,

Q: Q4. Find the area between curve y = x - 3x + 2 and x-axis from x =0 to x 2

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Q: 6. Find the area between the curve y = x(x - 3) and the ordinates x = 0 andx = 5.

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Q: Q4A) Find area bounded by y = 0.y = √2x-x² using double integration.

A: We are authorized to answer one question at a time since you have not mentioned which question you…

Q: Find the area under the curve y = x3 + 3x2 and the x-axis between x = 1, and x = 3

A: Find the area under the curve y = x3 + 3x2 and the x-axis between x = 1, and x = 3.

Q: Find the area between the curves f(x) = −x² + 4x and g(x) = x² - 6x + 8.

A: Basic identities of integration are used

Q: Find the area under the curve y = 3x 2 from = 1 to x = 2 .

A: We have to find the area of the given curve.

Q: "In Computing the area between two curves, why does f(x) have to be greater than g(x) over the…

A: In computing the area between two curves, why does f(x) have to be greater than g(x) over the…

Q: 1. Find the area in the second quadrant bounded by the curve 2x² + 4x +y = 0 using two methods

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Q: Let f(x)=-2x^ 3 +6x^ 2 -x+1, Use L 4 to estimate the area under the curve or the interval [- 1, 1]…

A: L4 is the left endpoint of the expression with 4 approximating rectangles.

Q: Find the area between the curve  y = x2 + 3x + 2  and the x-axis from  x = −1 to x = 1.

A: We have to find the area between the curve y=x2+3x+2 and the x-axis from x=-1 to x=1.

Q: 4. Find the area bounded by the curve a²y = x³, the x - axis, and the line x = 2a. Solve in two…

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Q: Find the area under the curve y =3x2-2x from x= 1 to x =5.

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Q: Solve for the area beneath the curve y = -(x – 1)² + 10 and above the axis from x = -1 and x = 2.

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Q: 2. Find the Area bounded by the curve y=4-x2 and the x-axis.

A: 2. The area bounded by the curve y=4-x2 and the x-axis Note:    Multiple questions are given, we are…

Q: Approximate the area under the curve y = 4 ln(x² + 11) from æ = – 15 to a = - 7 with 4 sub-…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Find the area between the curve y = x² + 7x + 12 and the x-axis from x = -3 to x = -1. Step 1 Notice…

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Q: Find the area bounded by the curve f(x) = -x² + 10 and the x-axis. Give your answer correct to two…

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Q: Area under the curve y2 = 4x from x=1 to x=4

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Q: The area under the curve y = 2x bounded from below bythe x-axis and on the right by x = 4 is 16 3…

A: Given that the area under the curve y=2xwe need find the area below the x-axis and the right by x=4

Q: Find the area of the “triangular” region in the first quadrant that is bounded above by the curve y…

A: Consider the provided curve,  Bounded above by the curve y=ex2 and below by the curve y=e-x2. And on…

Q: Find the Area below f(x) = -x² + 4x and above g(x) = x² – 6x +5 over the interval 1 siS4. 3

A: Given    fx = -x2+4x   gx = x2-6x+5Find out area in interval 1≤x≤4Area = ∫14fx-gxdx          =…

Q: 22) Find the area of the region between the curve y = 2x/(1 + x2) and the interval -2 sxs2 of the…

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Q: 2. Find the Area bounded by the curve y = 4-x? and the x-axis.

A: Topic = Area

Q: Q4A) Find area bounded by y = 0, y = √2x-x² using double integration.

A: The required graph is shown.

Q: 1. Solve the area bounded by the curve (x - 2)² = - ( y - 4) and the lines x=- 2 and y= 4.

A: The area bounded by the curves (x-2)2=-(y-4) ,x=-2, y=4 is as shown above.

Q: 7. Find the area bounded by the curve y = x exp(-x²), the x-axis and the vertical line p through the…

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Q: Find the area between y = ln x and the x-axis from x = 1 to x = 3.

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Q: Let f(x) = -a² + 6æ – 5. Estimate the area below the curve y = f(x) and above the x-axis using 100…

A: Let f(x)=-x2+6x-5 To estimate the area below the curve y = f(x) and above the x-axis using 100…

Q: - 5. Find the area bounded by the curve y² − 3x + 3 = 0 and the line x = 4

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Q: Find the area under the curve y = a²xe¬b²x from x = 0 to x = 5.

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Q: 11. Find the area bounded by the curve y² + 2x - 2y - 3 = 0 and the y-axis.

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Q: 3) f(x) = 2x + 5, on the interval [–1,4]. Use RRAM and five sub-intervals to approximate the area…

A: Note:  According to the guidelines issued by the company we should answer only one question, please…

Q: Find the area bounded by the curve f(x) = -x² + 7 and the x-axis. Give your answer correct to two…

A: We have to find Area bounded by the given curve and x-axis.

Q: Find the area between the curves f(x) = x2+2x+1 and g(x) = x+1

A: We need to find area between given curves.

Q: Find the area between the curves f(x) and g(x) 2. f(x) = 3x, g(x) = x² – 3x + 8

A: We will find the area between the two curves.

Q: Find the area the region lying between the x axis and the curve y=(ln(8x)-1)/x2 to the right of the…

A: Given curve is y=ln(8x)-1x2 Since region lying between x-axis and the curve to the right of the line…

Q: 2 Find the area between the curves y= 2x +6x+1 and y =-x +3x+7 over the interval [-4,10]. Draw the…

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Q: 3. Find the area between the curve y = 2sinx cos x and the x-axis within the interval [0,2π].

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Q: Find the area above the curve y=Inx in the lower half-plane between x=0 and x=1. YA y=In x 1

A: The correct option is option d. From the curve determine the upper curve , lower curve. and the…

Q: 14. (a) Find the area bounded by the curves y = 2x² and y = 4x. %3D (b) Two cars both start on a…

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Q: Solve. 1. Find the area of the region between the function f(x) = 4x + 1 and the x– axis on the…

A: Note :As per our guidelines we are supposed to answer only one question if there are multiple…

Q: 19. (a) Find the area bounded by the curves y = 2x2 and y = 4x. (b) Two cars both start on a journey…

A: Given two functions: y=2x2 and y=4x To find a) Area under the two curves b) If two curves represent…

Q: Find the area (sq. units) covered by the line y = -Gx+ 3) from x1 = -8 to x2 = 0.

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Q: Find the area bounded by the curve y=10+4x+x^2 and x-axis from x=-3 to x=-1.

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