3. (a) Find the coordinates of the points: A, B and C in the figure. A (b) Find the areas of the regions: R, and R2 in the figure that are bounded by the graphs of: y = 2x - 8x + 7, y = x2 - 4x +7, the y-axis and the horizontal line thru point C. 20 Ps

Q: 6. Find the area of the region enclosed by the graphs of y = Vx+1 and y = }x – 2 and the vertical…

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Q: Consider the region satisfying the inequalities. Find the area of the region. y se-3x, y > 0, x > 0

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Q: 6. Sketch the region in the zry-plane that is bounded between the graphs of y= In+4 and y = +2x.…

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Q: What is the area (in square units) of the region bounded by the graphs of y=x+2, and the x axis from…

A: topic - area under the curve

Q: Find the areas of the regions enclosed by the lines and curves x + y2 = 0 and x + 3y2 = 2

A: Consider the curves ,x+y2=0 and x+3y2=2To calculate the area of the region enclosed by the given…

Q: 19) The region in the first quadrant bounded on the left by the circle x2 + y2 = 1, on the right by…

A:

Q: Find the area of the region bounded by the curve ,2-4r and the lines x = 1 and x = 4. 21/2 square…

A: The given question has been solved in detail and option B is the correct answer.

Q: 1. Find the areas enclosed by the y-axis and the following curves and straight lines: b. x= y(y-2),…

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Q: 3. Sketch the graphs of the curves y = 2x² + 1 and y=7-x. Shade the region bounded by the curves.…

A: We are authorized to answer one question at a time, so we are answering the first one, please repost…

Q: 1- Find the areas of the regions enclosed by the lines and curves: y=r-2 and y= 2 1- y = x* and y =…

A: As per the guidelines we can solve 2 problems only

Q: 2. Find the length of curve of shaded region in the shape. y = x2 2.

A:

Q: 7. Find the radius of gyration of a plate covering the region bounded by y3,x 2, and the x-axis with…

A: Formula used:Radius of gyration, moment of inertia and area under curve with reference to y axis is…

Q: Sketch the region defined by the inequalities 0 <r< 2 sec 0 and -T/4 < 0 < T/4.

A: The given inequalities are

Q: 5- Determine the area of the region enclosed by the curve y-3- V, and the lines y-5- z, x-axis and…

A: We have to determine the area of the region bounded by the curve y=3-x and the line y=5-x, x-axis…

Q: Find the areas of the regions enclosed by the two curves y = x and y = -x² + 4x.

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Q: Find the region bounded by the parabola x = y - 8 and the line y = x - 12. O 163.5 121.5 103.5…

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Q: Find the areas of the regions enclosed by the lines and curves x = y2 - 1 and x = | y | √(1 - y2)

A: The curves x=y2-1 and x=|y|1-y2, we have to find the area of the bounded region by the lines and…

Q: 1. Find the area of the trapezoid that is the region bounded by the lines x = 1 and x = 3, the x…

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Q: 6. Find the area of the region enclosed by the graphs of y = VT+1 and y = r – 2 and the vertical…

A:

Q: Find the areas of the regions enclosed by the lines and curves y = x2 - 2 and y = 2

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Q: Let R be the region bounded by the parabola y = x − x2 and the x-axis. Find the equation of the line…

A: Given information:

Q: Find the area of the region bounded by the graphs of the equations. y = −x2 + 2x,    y = 0

A: y=-x2+2x, y=0 The diagrammatic representation of the area of the region bounded by the graphs of the…

Q: (7) Find the area of the surface given by √x² + y² ≤ ≤√4-x² - y²

A:

Q: Find the area bounded by the parabola x = 8 + 2y − y^2 and the y axis and the lines y=-1 and y=3

A:

Q: Find the areas of the regions enclosed by the curves x3 - y = 0 and 3x2 - y = 4

A: The given curves are x3-y=0   and  3x2-y=4. Rewrite the above equations as  y=x3  and  y=3x2-4. Now…

Q: 5. Sketch the region in the -plane defined by the equation or inequalities a. -1&lt;=y&lt;=3 b.…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: find the vertices of the parabola, points of intersection, and sketch the graph of the bounded…

A:

Q: Find the area of the region bounded by the curve y2=4x and the lines x = 1 and x = 4. 24 square…

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Q: Find the areas of the regions enclosed by the lines and curves  1. y = 7 - 2x2  and y = x2 + 4 2.y =…

A: Since we only answer up to 1 question, we’ll answer the first question. Please resubmit the question…

Q: Sketch the region in the xy  -plane defined by the equation or inequalities. -1 &lt;=y&lt;=3

A: -1≤y≤3

Q: 3. Sketch the region {(x,y) | 0< y < 4, <x < 9 (Hint: graph all of the four "curves".) R =

A: Given regions are,

Q: x = y² – y, x = y – y² |

A: The solution is given in the next step.

Q: Find the area of the trapezoid that is the region bounded by the lines x = 1 and x = 3, the x axis,…

A: Area bounded by the given curve:

Q: Find the area of the region bounded by the curve ,2=4x and the lines x = 1 and x = 4. 63/2 square…

A:

Q: b) Find the exact area of the region enclosed by the curve y = x² – 3x, the x-axis and the vertical…

A:

Q: y = -a(x – h)? +k (-2.1 , 2.9) (1,n)

A: The given curve is y=-ax-h2+k. Here h=-1 and k=11 given. So the curves becomes y=-ax+12+11. Also the…

Q: Find the areas of the regions enclosed by the lines and curves y = x2 and y = -x2 + 4x

A: Consider the given curves y=x2                               …1y=-x2+4x                    …2 First,…

Q: Sketch the region enclosed by the given curves. y = 14 – x2, y = x² - 4 y y 15- 15| 10 10 5 5 -6 -6…

A: Here we have to sketch and find the area of bounded region.  The solution is following.

Q: The area of the region bounded by the curves y = 4x? 3 22 and the lines æ = 1 and x = 5 and y is

A: Here is the solution of the given problem

Q: (i) Draw the graph and shade the region bounded by the curves x = y2─ 5y and y = x. (ii) Determine…

A: (1). x=y2-5yx=y2-5y+254-254x=y-522-254x+254=y-522y2=4axy-522=4×14x--254line : y=x

Q: 4. Evaluate ff(2x- y²)dA over the triangular region Renclosed between the lines y =-x+1, y=x+1, and…

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Q: Find the area of the region bounded by the curve 2-4r and the lines x = 1 and x = 4. 63/2 square…

A:

Q: Sketch the region enclosed by the given curves. y = 14 - x2, y = x2 - 4 y y 15 5| 10 -6 -2 2 4 -10…

A: we have, y=14-x2,y=x2-4 region between two curves will be :

Q: Determine the area of intersection of the regions limited by the graphs of the equations: r= 3sin2∅,…

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Q: (b) Find the areas of the regions enclosed by the line y = x and curve y = x- 3x

A:

Q: Find the areas of the regions enclosed by the lines and curves x = y3 - y2 and x = 2y

A: Given that, x=y3-y2x=2y

Q: Find the area of the region bounded by the parabola y2 = 2x-2 and the line y = x-5 using (a)…

A: We will find out the required area.

Q: Find the area enclosed by the graphs of z+y = 4, z-- y = 0, y+3r = 4. 1. Area = sq. units 7 sq.…

A: Given, The equations  x+y = 4 ,  x-y =0  and   y+3x = 4 We have to find the area enclosed by the…

Q: Sketch the region in the xy  -plane defined by the equation or inequalities. |x|&lt;4 and |y|&lt;2

A: x&lt;4  and  y&lt;2⇒-4&lt;x&lt;4  and  -2&lt;y&lt;2   ∵x&lt;a⇒-a&lt;x&lt;a