4) The area between y = In x and y = 2ln x up to x= e is:- = 7 A) B) = 1

Q: What are the area bounded and intersections of y = x2 , x= -1, x = 2 respectively?

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Q: Find the area bounded by y=2/√16−4x^2, x=0, y=0, x=1. Round to four decimal places.

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Q: Find the area between the two Curv G. ye- -X, x² = G - Sy

A: Given that  y^2=-x,x^2=6-5y To find the area between the curves

Q: YA y= /(x) 0. C

A: Topic- area under the curve

Q: 3. Find the area bounded by the curve 2x² + 4x +y = 0 and y = 2x. Answer: 'n bs

A: Given:     curve 2x2+4x+y=0                and y=2x    2(x2+2x+1)=-y+2(1)    2(x+1)2=-(y-2)…

Q: Find the area under the graph of y = 1/x^2for x ≥ 2.

A: The equation for the curve is y=1x2Area under the graph of y=1x2 for x≥2 is A=∫2∞1x2dx   =limc-∞…

Q: A curve is such that the area bounded between the curve, the y-axis, the x-axis and the line…

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Q: 4 and What is the area enclosed between the graphs of X = x = y? – 5? Note: Round to the nearest…

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Q: The shaded area bounded by y=x^2 and y=x^3 is 0.016 0.083 O 0.055 O 0.16 (1, 1)

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Q: 4 Find the area bounded by Y 0, y = 0, x = 1. 256 – 16x² - Round to four decimal places.

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Q: 7. Find the area bounded by the curve y = 4x - x^2 and the lines x = 0 and y = 4.

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Q: What is/are the difference/s when using the Trapezoidal Rule, Simpson's 1/3 Rule, and Simpson's 3/8…

A: Basic Difference is :   Trapezoidal uses Linear Approximation within each subinterval, while…

Q: 7. Determine the area bounded by y = x² - 6x + 10, x = 1, x = 5 and the x-axis.

A: Above question is solved.

Q: Find the area bounded by y=4/√(400−16x^2), x=0, y=0, x=3. Round to four decimal places.

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Q: Using four triangles to estimate the area under f(x) is approximately

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Q: 3 Find the area Of the indicated region. between y=X and y= x2For x 'in

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Q: 6. Determine the area bounded by y = x² - 6x + 10 and y = 5.

A: This question can be solved using the concept of area bounded by two curves.

Q: y = 5; [1,3] 6. y=5 4 3 2 1 0 1 2 3 4 x

A: Given : To find : Area under the curve y=5 under the limit [1,3]

Q: Find the area under each curve over the indicated interval. [4.3] 16. y = 6 - x²; [-2, 1] 17. y = x2…

A: 16. Therefore, area  A=∫-21ydx=∫-216-x2dx=6x-x33-21=6-13--12--83=173--12+83=173+283=453=15…

Q: Compute the area contained between the parabolas y and y 3 = 4 --x2

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Q: 2. Find the area bounded by y = ÷x' 3x and y = -4. - %3D 3,

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Q: Determine the area bounded by the graphs of the following equations. y=coshx  , y=3

A: Given that, y = coshx  and   y = 3 we have to calculate the area bounded by both equation, Solve…

Q: Find the area bounded by y³ = x² and x-axis, from x = 0 to x = 8.

A:

Q: 3 8) Find the area bounded by y = x = 0, y = 0, and x = 2. Vs1 - 9x2

A: Given function  y=381-9x2 y=39(9-x2)y=339-x2y=19-x2 To find area bounded by the curve

Q: 5. Find the area under y = -x² [0, v7] on

A: Given curve, y=x34-x2,   0, 2

Q: The enclosed area between y= 2 x and y= 6/x is evaluated by

A:

Q: 7 Find the area under the curve y = x over the interval [1, 5]

A: Please refer to the image below

Q: What is the area under the graph of y = 2 54-3-2-1 O O N/W 13 2 15 2 ਜਾਨ , -2+ -3 4 1 2 3 4 5 X on…

A: The region is bounded by the graph y=2-x on the interval -2,1

Q: Find the area of the region bounded by the graph of f(x) = Jx, the y-axis, and the tangent line to…

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Q: Find the area between y=6sinx and y=7cosx over the interval [0,π].

A: Given the curves, y=6sinx and y=7cosxon the interval 0,π To determine the point of intersection:…

Q: What is the area bound between the curve y= \x/2 and the x-axis between x =-3 and 4/2 - 2/3 3 x = 2?…

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Q: 7 - over the interval [1, 5] Find the area under the curve y

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Q: 2 the area bounded by y = x , y = x is

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Q: 2. Find the area between between x = 0 and x =9. y=√x-10 and y=0 10

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Q: Show that the region bounded by y = 2 cos x, y = sin x, 3/2 -1. x = 0, x =- has area 2

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Q: Find the area bounded by y = x³ and y = x² + 2x on x € [-1, 1]. Submit your answer in fractional…

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Q: 6. Compute the area enclosed by the curves y = x² - 9 and y = 9-x2. Page 5

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Q: b) Estimating the shaded area with the Composite Trapezoidal Rule with n=4 yields lunits2, while the…

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Q: 8. Determine the area bounded by x = -y² + 4y and the y-axis.

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Q: By using Simpson's 3/8 Rule alone, one can the area under a curve when the number of segments is any…

A: Simpson's 3/8 rule approximates the area under the curve when the number of segments is an odd…

Q: Find the area bounded by y = Round to four decimal places. 2 100 - 4x² x = 0, y = 0, x = 2.

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Q: The area between y 3 x + 1 and y x2 from x = 1 to x 3 is

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Q: 4 Find the area bounded by Y = 0, y = 0, x = 2. || 144 – 16x² Round to four decimal places.

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Q: 9:(a): Find the area bounded by the curve y² = -x, the line y = x, and the line y= 2.

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Q: By using Simpson's 3/8 Rule alone, one can approximate the area under a curve when the number of…

A: This question related to numerical integration.

Q: 4.Determine the area bounded above by y: 5 + x² and below by y = 1 + 2x²

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Q: 11. Evaluate the area under the curve y= on the interval [7, 9].

A: Given,            The curve is y=x2 and the interval is 7,9.To find : Evaluate the area under the…

Q: What is the area bounded by the curve x^2=-9y and the line y+1=0. O 3 O 4 O 5

A: Given equations: x2=-9yy+1=0

Q: APProximate the area under fa)=XZ 1. and a 1.9ht approXimation cright end Point reltungies 100 k…

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Q: 9) Find the area bounded under the curve y = x+2 and y=x² – 4.

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.