If F =< 3xy,10 cos y >, and C is the boundary of the region bounded by the curves y =x, y=x´ in the first quadrant. Then F•dr is equal to a. -1/6 O b. 1/4 O c. 1/6 O d. -1/4

Q: What is the area (in square units) of the region bounded by the graphs of y=x²+2, and the x axis…

A: Area under the curve is given by integration over required interval

Q: 10. (1 – y³) dx + (x³ + e*) dy, Č is the boundary of the region between the circles x² + y² = 4 and…

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Q: Given : The region is bounded by the curve y=4x-x^2, y=4 and the y-axis Problem : The center…

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Q: Find the area enclosed by the given curves. Find the area of the "triangular" region in the first…

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Q: Find the area of the region bounded by the graph ofy =1/x the x-axis, and the vertical lines x = 1…

A: The area is calculated by taking a rectangular element of width  dx and height y. The total area is…

Q: Consider the region between the graphs x = y 4 and x + 1y = 26 . The area of this region can be…

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Q: 6. Consider the region bounded by the function y = 4x, and the lines x = 0 and x = 3. Then the area…

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Q: Evaluate ([7y'e*+ dA where D is the region bounded by y = 2 x , x=9 and the x-axis.

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Q: The numerical value of 34 3dA (where D is the region bounded by lines y=0 and x = 1, D and the…

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Q: Find the area of the region bound by the following curves: y = /x, y= 6 – x, y = 1. O 17/6 O 1/2 O…

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Q: In(7x) – 1 Find the area of the region lying between the a-axis and the curve y = to the right of…

A: We have to find the expression of the area of required problem.

Q: Suppose we are asked to evaluate fL (y? z)dV where E be the region in the first octant bounded by…

A: The given integral is ∬∫Ey2zdVWhere E is the region of first octane bounded by the planesx=z, x+z=2…

Q: 10. Find the area of the region bounded by the graph of x = y² – 4y – 5 and the y-axis.

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Q: 9. What is the area of the region between the graphs of y=x2and y =-x from %3D x=0 to x= 1. A) 1 B)…

A: Topic = Area

Q: Consider the following equations. x = y2 + 5, x = y + 7 Sketch the region bounded by the graphs of…

A: To find the area of the region for the curve x=y2+5 and the line x=y+7

Q: In the given question  find b such that the line y b divides the region bounded by the graphs of the…

A: Given :           Equation of curves as :                  y = 9 - x , y = 0 Formula :           A =…

Q: 1. Sketch the region R between the functions y = 2x and y = x2

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Each of the regions A, B, and C bounded by the graph of f and the x-axis has area 3. Find the value…

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Q: Give area of the region enclosed by y and y = 0 from x = 1 to x = 3 2 А. 2 В. 3.4 С. 1.5 D. 1

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Q: (1- y*)dx + (x° + e*)dy where C is the boundary of the region between the circles x² + y² = 4 and x²…

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Q: Find the areas enclosed by the following curves: (e) x + y2 = 3 and 4x + y² = 0

A: Solve using application of integrals

Q: If F =, and C is the boundary of the region bounded by is equal to the curves y=x, y=x in the first…

A: Given F→=xy2,3cosy and C is the boundary of the region bounded by the curves y=x,y=x2 in the first…

Q: Below is the graph of y = x2 +5. 141 12 10 8- 6- 4 2 -3 -2 The area bounded by y = 22 +5 and the…

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Q: The area bounded by the curve y = 3/T and the lines e = 5 and a = 9 above the a – axis is square…

A: First of all find all meeting points then calculate the area.

Q: Find the area of the region bounded by the given curve: r = 5e° 4 on the interval =<O< 2n. 5

A: The area of the curve r=f(θ) is A=12∫abr2dθ.

Q: Find the area of the given region bounded by the graphs of y1, y2, and y3, as shown y1 = sin x, y2 =…

A: Given curves are  y1=sin x, y2= cos x, y3= sin x +cos x Bounded region is given by

Q: In the given question ,sketch the region bounded by the graphs ofthe equations and find the area of…

A: Follow the steps to draw the graph of the function y=x2-1 and y=-x+2. Make a three-column table…

Q: Suppose that 0 <c <n/2. For what value of c is the area of the region enclosed by the curves y=cosx,…

A: Suppose that 0 &lt; c &lt; π2. We have to find the value of c at which the area of the region…

Q: For items 8, 9, and 10, consider the region bounded by y = e+1, y = 1, and y-axis. -1.5 8. Which of…

A: Let us consider a shaded region in the xy-plane bounded by curve f(x) and g(x) where f(x)&gt;g(x) in…

Q: Which of the following represents the area of the region bounded between the graphs of y = +3z and y…

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Q: 2 Find the area of the region bounded by the curve y2 =4x and the lines x = 1 and x = 4. A. 24…

A: Given y2=4x X=1 and x=4

Q: x+ y = 6 6x y = X+1

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Q: Consider the following equations. 1 x² O 6 Sketch the region bounded by the graphs of the equations.…

A: Given: y=1x2, y=4, x=6. To be find: area enclosed by given curves. Concept: the areaA of region R…

Q: Find the area of the region that is bounded by the given curve and lies in the specified sector. r =…

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Q: A region bounded by f(x) = x² + 1, y = 1, and x = 2 is shown below.

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Q: Find the area of the region bounded by the graph of f(y) = y2 and the y-axis for 0 ≤ y ≤ 1, as shown…

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Q: If 0 < c < 1, find the area enclosed by the graphs of y=0, y=1/x,

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Q: 1 2. Find the total area of the region between the curve and the x-axis. a. y=2-x; b. y= 3x-3;…

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Q: The diagram below shows the graph of y = √√x and y = x. Consider the region bounded by the two…

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Q: the region described. 5 1 ded by y = 7 and y = 4 2 1-X egion is approximately

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Q: 16. Find the area of the region bounded by the given curve: r = 9eº on the interval ≤0 ≤ 2m.

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Q: Question 4. Compute the Area of the region bounded by the given curves. Y1 = 3x- x2 and Yz = 3 -x

A: Given: y=3x-x2, y=3-x we finding area region bounded by given curve, first we draw graph of both…

Q: Find the area of the specified region. sec e Inside the dircle r 3 and to the right of the line r =…

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Q: R is the region bounded by x = y? + 1 and x = 9 – y² and the axis of revolution is x = 9.

A: Given that,

Q: The value of $(2xy - x²) dx + (x + y²)dy, where C is the enclosed curve of the region bounded by…

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Q: Find the exact area of the region bounded by 2y = 4√√x, y = 4, and 2y + 2x = 6

A: Here we have to find the area of the region.

Q: )Find the area of the region bounded by the given curves and lines for the following problems:- 1.…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 5. Consider the region bounded by the function y = 4x, and the lines x = 0 and x = 3 Then the area…

A: We know  that the area under the graph of a continuous function f (x) between the vertical lines x =…

Q: Evaluate the following Where A is the region in the first quadrant bounded by the curve xy=25 and…

A: Find the attachment