Find the area of the region enclosed by the curves x 3 and x y +3 3 The area of the region enclosed by the curves (Type an integer or a simplified fraction.)

Q: Determine the area of the shaded region bounded by y=-x² + 6x and y=x² - 2x The area of the region…

A: NOTE: Refresh your page if you can't see any equations. . here we have first, we need to find the…

Q: Find the volume of a solid obtained by rotating the region enclosed by the graphs x = 6 – 2y and x =…

A: Obtain the volume of the solid generated by rotating region bounded by x=6-2y and x=9-y2 about the y…

Q: etch the region enclosed by y = (x - 2)^2 and y = x. Find the area of the region.

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Q: Find the area of the region bounded by the graphs of the given equations. y = x, y= 2 x The area is…

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Q: Find the area of the shaded region. 4 f(x)=x²-8x³+21x², - 8x³ +21x², g(x) = 6x + 36 The area is.…

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Q: Find the area of the shaded region. f(x) = 10x - 3x²-x³, g(x) = 0 The area is (Type an integer or a…

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

Q: Find the area of the region enclosed by the graphs of y = 8 – 3x, y = 6 – x, and y = -6. (Use…

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Q: Find the volume of a solid obtained by rotating the region underneath the graph of f(x) = 6x³ about…

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Q: Find the area of the region enclosed by the curves y=x²-7 and y=9. The area of the region enclosed…

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Q: Find the area of the region enclosed by the curves y = 2x and y = 4x- 2. You may find the graph of y…

A: We have given two curves y = 2x and y = 4x-x2 Write the limits of y and x by the given graph: y…

Q: Find the area of the region enclosed by the graphs of y = 8 – 3x, y = 6 – x, and y = -5. (Use…

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Q: Find the area of the region enclosed by the graphs of y = 7x x²+1 (Use symbolic notation and…

A: Introduction: We already know that the area under a curve represents an integral. The difference…

Q: Find the area of the shaded region. (x) = 5x + 4x² - x°, g(x) = 0 The area is. (Type an integer or a…

A: The area lies between x=0,x=2 Hence the area under the curve is given by:…

Q: ind the area of the region between y =x3  and y=x2+x

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Q: Find the area of the region enclosed by the curves y =x-4x and y = -x+2x. The area of the region…

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Q: Find the area of the region enclosed by the curves y= x-7 and y = 9. The area of the region enclosed…

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Q: Find the area of the region bounded by y²= 8x and y=x With figure and representation

A: Given,y=x...............(1)andy2=8x..................(2)on solving equation (1) and…

Q: Find the area of the region bounded by the graphs of the given equations. y=2x-x, y= - 5x The area…

A: The given curves are y=2x-x2, y=-5x. Calculation: Let y1=2x-x2 and y2=-5x. Compare y2 with y=mx+c.…

Q: Find the area of the region. y = 16 − x4

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Q: Find the area of the region enclosed by the graphs of y = x² – 57, y = 519 – x³, and x = 0. (Use…

A: We have to find the area between the given curves.   As per our guidelines we can solve only one…

Q: Find the area of the shaded region. 90 1x) =x - 8x +21x², g(x) = 10x+40 (4,80) 19 (- 1,30) 10 -4 The…

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Q: Find the area of the region bounded by the graphs of the given equations. y = 16x, y = x", x = 0, x…

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Q: Find the area of the region enclosed by the graphs of y = 8 − 3x, y = 6 − x, and y = 1. (Use…

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Q: Find area of the region under the curve and above the x-axis for  2≤ x ≤4.…

A: To determine :  The area of the region under the curve y = 8x2 ex -1x2 above the x - axis for…

Q: The shaded region between the graphs of y = 2x + 20 and y = 3x – 15 is displayed below in orange. 25…

A: Solution...

Q: Find the area of the region enclosed by the curves between their intersections y= 3x and y = x The…

A: Plotting the rough diagram of the both curves gives us a better idea.

Q: Find the area of the region bounded by the graphs of the given equations. y= 7x-x, y = 2x The area…

A: Given that, Two functions are, y = 7x - x2   and    y = 2x we have to calculate the bounded area by…

Q: Find the area of the region enclosed by the graphs of y^2 = x+7 and y^2 = 5-x.

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Q: Find the area of the region enclosed by the curves y = x - 1 and y = 3. %3D The area of the region…

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Q: Find the area of the region bounded by the graphs of the given equations. y = 81x, y = x°, x = 0, x…

A: y=81x →  f(x)=81x y=x5  →  g(x)=x5   x=0, x=3 This means we need to find Area between the above two…

Q: Find the area of the region bounded by the graphs of the given equations. y=x, y 3x The area is…

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Q: Find the area of the shaded region bounded by y = 4x and y = xV64 – x² in the figure. y (Give an…

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Q: Find the area of the region described below. The region bounded by y= 2x and y=x +4 The area of the…

A: Given:   Region y=2x2 and y=x2+4         2x2=x2+4         2x2-x2=4         x2=4        x=±2 , x=2,…

Q: Find the area of the region bounded by the graphs of the given equations. y = 6x-x², y = - 2x The…

A: The given curves are: y=6x-x2, y=-2x   Now find the point of intersection between the given curves.…

Q: Find the area of the region described. The region bounded by y= |x-12 and y = 3 The area of the…

A: Plot the st. lines and find the region enclosed by the st. lines. Triangle ABC is the region…

Q: Find the volume of a solid obtained by rotating the region underneath the graph of f(x) = 32 – 8x²…

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Q: Evaluate the area of the region bounded by y2 = x and y2 = 6−x.

A: To find : Area between y2=x and y2=6-x First let's find the intersection points x=6-x⇒x=3 Therefore,…

Q: Find the area of the bounded region enclosed by the curves y =x² - 4x and y = -x² + 2x. ..... The…

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Q: Find the area of the region enclosed by the graphs of 1 1 y = 0, x = 0, and z = - 9x2 NOTE: Enter…

A: Integration

Q: Finf the area of the region bounded by y=√x-4, y=0 and x=8

A: Formula to find the area of the bounded region helps to find the required area. integration formula…

Q: Find the area of the shaded region. Enter your answer as a reduced fraction. (-2, 3) (-2,-1)…

A: Given:              sx=3-x2tx=-x+1 point of intersection of two curves let:         y=3-x2…

Q: 5. Example. Find the area of the region in the coordinate plane bounded by the r-axis and lines y =…

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Q: Find the area of the shaded region bounded by y = 4x and y = xy64 – x² in the figure. (Give an exact…

A: Given curve  y=x√(64-x2) and line y=4x  To find :- Area between curves

Q: Find the area of the region bounded by the graphs of the given equations. y= 2x + 24, y = x2 The…

A: Given : The equations y = 2x + 24 and y = x2   To find : Area of the region bounded by the graph…

Q: Find the area of the region enclosed by the graphs of x = y – 18y and y + 5x = 0. (Use symbolic…

A: Area of the region in bounded by x=y3-18y and y+5x=0.

Q: Find the area of the shaded region. f(x) = 6x – x² - x°, g(x) = 0 The area is (Type an integer or a…

A: Given that,  fx=6x-x2-x3,   g(x)=0 To find :  area between curve fx and gx on as interval a,b given…

Q: Find the area of the region bounded by the graph of f and the x-axis on the given interval. i(-2,-1]…

A: Given: y=1x4; x∈-2,-1

Q: Find the area of the region enclosed by the graphs of x + y = 7 and √x + √√y = √7. (Use symbolic…

A: This question is based on application of integration.

Q: Find the area of the shaded region. f(x) = 6x – x² – x³. 0 = (x)6' x The area iS (Type an integer or…

A: we have given                           f ( x ) = 6x - x2- x3 , g ( x ) = 0