Sketch the region enclosed by y=7x and y=7x^2.Find the area of the region

Q: Find the area of the shaded region.

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Q: find the total area of the region between the graphof ƒ and the x-axis. ƒ(x) = 1 - (x2/4), -2 ≤ x ≤…

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Q: Calculate the total area of the region described. Do not count area beneath the x-axis as negative.…

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Q: Determine the area of the shaded region. 2.1 +2x 3.1 4.1 y-2x- y-2-

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Q: Sketch the region enclosed by y = 6x and y = 7x2. Find the area of the region.

A: Given curves are y=6xy=7x2

Q: area of the region

A: Consider the given equations, y=2x2+10y=4x+16x=-2x=5 It is observed that the region is bounded only…

Q: Find the area of the shaded region: 1. y=x+4 (3,7) (-2, y=r-2

A: Area between the curves

Q: Determine the area of region by y = x^2 + 4x and the y - axis

A: Area between the y=x^2+4x and y-axis is unbounded .  So, we will find the area bounded by the region…

Q: Find the area in the first quadrant bounded by the curves y = x/2, y = 4x and y x2 You need to draw…

A: The graph of the bounded region(shaded region) in the first quadrant is given below.

Q: Find the area of the shaded region. 8 y=5 x- x (3, 6) 2 y=2 x 1 21 4.

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Q: Find the area of the region between the curves y = |2| and y = 1² - 2. %3D %3D Area between curves =

A: Given: y=x    and   y=x2-2

Q: Sketch the region bounded by the graph of the equations and find the area of the region. x = y² -…

A: Solution

Q: Find the exact area of the shaded region: (0, 4) y = 4 - x2 3 (3,-5)

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Q: Determine the area of the region in the first quadrant bounded by y = 2x, y = - x + 1, and the…

A: The graph is shown below:

Q: Find the area of the unbounded shaded region. y = 8xe- y 2.0 1.5 1.0

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Q: Explain why it is important to determine all points of intersection of two curves when finding the…

A: To find the area between two curves you should first find out where the curves meet, which…

Q: Sketch the region and find the area of the region bounded by y = -x2 + 9 and the x-axis.

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Q: Determine the area of the region bounded by y = 4x + 3, y = 6 –- x - 2x2, x = -4 and x = 2. Sketch…

A: Given:- y = 6-x-2x2 , y=4x+3 , x=-4 , x=2  To find:- Area of region bounded by given curves

Q: Sketch the region enclosed by the curves y=x+2, y=25-x^2, x=-2, and x=2. Find the area of the…

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Q: Find the area of the region bounded by the graphs of the equations.                 y = 8 − x,    x…

A: If f(x) is continuous on [a, b] then area of the region bounded by f and x axis is, A=∫abf(x)dx

Q: Find the area of the region bounded by y=square root of 2x, y=3x-4, and y=0

A: Recall: Area between the curves:      If f(x) and g(x) are two continuous functions and f(x) ≥g(x)…

Q: What is the area of the shaded region?

A: Given,

Q: Sketch the region enclosed by y = 5x and y = 6x². Find the area of the region.

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Q: Sketch the region enclosed by y = 4x and y 4x2. Find the area of the region. %3D

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Q: Find the total area of the shaded region. 10- y = 8 6- 4- y=8 cosx 2- 1/2 元 Зл/2

A: Given curve y=8cos2x  liney=8

Q: Find the area of the shaded region. 2 (0,4) y = 4 - x (3,-5) 23 3 5/3 3.

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Q: y = 4x,_y = 4x – 2

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Q: Find the area of the region enclosed by the curves y = 4x – a² and y = -2x + 5. You need to draw a…

A: Let's find the point of intersection first: Compare both the equations:

Q: Calculate the total area of the region described. Do not count area beneath the x-axis as negative.…

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Q: Find the exact area of the region that lies beneath the curve y = 8x-4, 1 < < 6.

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Q: Find the total area of the shaded regions enclosed by y = 2x° - x2 - 5x and y = - x² + 3x. Ay…

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Q: Determine the area of the shaded region bounded by y=−x^2+4x and y=x^2−2x.

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Q: Determine the area of the shaded region bounded by y = 30sinx y= 30cosx

A: Given:    y=30sinx, y=30cosx

Q: Find the area of the region bounded by y = x³ - 8 the x-axis and the y axis.

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Q: Find the area of the region between y = 6x² and y = x² + 7.

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Q: Sketch the region enclosed by y = 4x and y = 8x². Find the area of the region.

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Q: What is the area of the shaded region? Please show your work.

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Q: Determine the area of the region enclosed by the curve y = x2 – 2 and line y=2

A: Given that y=x2-2 and y=2To determine the area enclosed by the curve.Solution:

Q: Find the area of the shaded region. (9,3) x = y2 (0,0) (9,-3)

A: Using horizonal strip Established double integral

Q: 5. Find the area of the region enclosed by y = 4 – x², y = 3x and r-axis.

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Q: determine the area of the region bounded by y= 8/x, y=2x and x=4

A: The equations are y=8x, y=2x, x=4

Q: Find the area of the shaded region (using the area between two curves). y=x2 - 4 y=2x² •x - 6

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Q: Sketch the region enclosed by y=6x and y=8x^2. Find the area of the region.

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Q: Find the area of the region in the first quadrant bounded by the line y=5​x, the line x=5​, the…

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Q: Sketch the region enclosed by y 4x and y = 2x2. Find the area of the region.

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Q: Determine the area of the region enclosed by y=x^2 and y=2x-x^2.

A: Please refer the attached image for complete solution.

Q: Calculate the area of the segment cut from the curve y=x(3−x) by the line y=x. Also, sketch the…

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Q: 2+ y =x+ - 2x3 1 y = 0 2 -1

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Q: Find the area of the shaded region    y = 5x - x 2  ,  y = x            ,  (x ,y )  =  ( 4, 4 )

A: The given equation of curves are: y=5x-x2. y=x Draw the area represented by the curves. The area…

Q: Find the area of the shaded region between y =x2-4 and y =2x2+x-6.

A: use vertical strip to get limits