3. Find the area of the region bounded by the graphs of the given equations. 2 y = 4x, y = x? The area is (Type an integer or a simplified fraction.)

Q: Find the area of the region bounded above by y = x + 2 and below by y => X 542 1 1 2 3 4 5 -2 -3 O O…

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Q: 11. Find the area of the region bounded byy = (x - 1)² + 1, the x -axis, x = -1, and x = 2. A. -6 C.…

A: Here we are using integration method to find the area of the given region.

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: 4. Find the area of the region bounded by the graphs of f (x) = x³ +x2 – 6x and g(x) = 2x – x2 20 А.…

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Q: 41. S = {(x, y) |x> 1, 0< y sey 41-46 Sketch the region and find its area (if the area is finite).

A: The given region is: S= (x, y)| x≥1,  0≤y≤e-x

Q: 3. Find the area of the region in the first quadrant that is bounded by y=Vx , x-axis and y=x-2. |

A: 3) To find the area under the curve in first Quadrant

Q: Find the area of the region bounded above by y = -x² + 2 and below by y = x². 4 3 2 & A wit 543-2-11…

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Q: 10. Sketch the region bounded by the graphs of the given equations and find the area of that region…

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

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Q: 16. Sketch the region enclosed by y = |x| and y = x2 - 2, and find its area.

A: To evaluate the area between the following curves

Q: 3. Find the area of the region bounded by y = x², y = 8 - x² and y = 4x + 12.

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Q: 3. Find the area of the region enclosed by y =-r² + 6, y = I, y = 5x, and r>0.

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

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Q: 1. Find the area of the region bounded by y = x2 + 4, y = x, x = 0, and x = 3.

A: The equation of curves are C1: y = x2+4C2: y = xC3: x = 0C4: x = 3 To evaluate: The area of the…

Q: 29. Find the area of the region bounded by y =. = x2 + 3x + 1 and y = 6x - 1. [4.4]|

A: If two curves f(x) and g(x) defined over the interval [a,b], then the area bounded by the curves…

Q: Find the area of the region described in the following. The region bounded by y = 4x + 4, y = 6x +…

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Q: y x-3' y = 0, x = 4, аnd x = 3 + e

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Q: Question 42 Solve the area of the region Bounded by y=x2 – 3x + 12 and by y=18+x-x2 199/3 63 c) -199…

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

A: First we sketch the region bounded by the equations using graphing calculator f(y)=y16-y2g(y)=0y=3…

Q: 5. Calculate the area of the region enclosed by the graphs of y = 2r- r and y = 0.

A: We first find where they meet Plug y=0 in y=2x-x2 and solve for x

Q: 4 Find the area Of the indicated region. Between = x?-4x+1 and vex?+4x-5 for in

A: The given functions are: y=x2-4x+1          and               y=-x2+4x-5 ;          x∈0, 3

Q: 1. Find the area of the region bounded by the graphs of the equation y = x and y = x2.

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Q: 3. Find the area of the region bounded above by y=e*, bounded below by y = x, and bounded on the…

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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: Determine the area of the given region. y = 4x(1-x) A 10 A 7 6- 4 2 0.25 0.5 0.76 1.26 1.5 1.76 2…

A: Given, a= 0 b= 1 f(x)= 4x(1-x)= 4x-4x²

Q: 9. a) Find the area of the region bounded by the y = Vx and y = x 1 graphs of (set both equal and…

A: To find the area of the region bounded by the curve and a line , find the intersection of both and…

Q: 4. Find the area of the region enclosed by y = –x² + 6, y = x, y = 5x, and x 0.

A: Area bounded by the region y=-x2+6, y=x and y=5xFirst we sketch the region

Q: What is the area of the region in the first quadrant bounded above by y = -2x + 8 and below by y =…

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

A: Area bounded by curves can often be calculated with an appropriate definite integral. The area…

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

A:

Q: Sketch and shade the region bounded by the graphs of X = y? +1 and x + 2y = 4 and find the area of…

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Q: 1. Find the area of the region bounded by y = x? + 4, y = x, x = 0, and X = 3.

A: Note : As per authoring guidelines, when multiple questions are posted, then only first question or…

Q: (1) Find the area of the region bounded by the curves and draw an illustration y = x² and y = 6x-x².

A: The region bounded by the curves y=x2 and y=6x-x2 Note:    Multiple questions are given we are…

Q: 3. Find the total area between the given region and the x-axis .2 a) y = -x - 2x,-3 < x < 2 b) y =…

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Q: x = 4 – y? ;x = 4 – 4y

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Q: 3. Find the area of the region enclosed by the given curves. y = Vx + 2, 1 y = x = 0, x = 2 %3| x…

A: Recall: If f(x) and g(x) are two continuous function and f(x) ≥g(x) on the closed interval [a,b] ,…

Q: 18) Find the area of the region bounded by the graphs of y = x + 2 and y = x².

A:

Q: 5. Find the area of the region bounded by y = e", y = e¬¤ and x = 2

A: We have to find the area of the region

Q: Consider the following equations. Y= (1)/ (x2 + 1), y=0, x= -1, x= 1 Sketch the region bounded by…

A: Here given curve is Y = 1/(x2 + 1) Y = 0 X = -1 X = 1

Q: What is the area of the region bounded by the graphs of y = x³ – 2x² + 1, x = 1, x = 3 and the…

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Q: 4 Find the total area of the region bounded by curves y = x 3 – x, x E [-1,8] 83 4 25 3 45 12

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Q: 5. Find the area of the region enclosed by y = =, y = x, Y = 7x, and x > 0.

A: Ans: 0.69315 sq.unit

Q: 10 2. Find the area of the region enclosed by y = 2x – x² and y = -3.

A: Given curves, f(x)=y=2x-x2 g(X)=y=-3

Q: 4. Find the area of the region enclosed by x = 2y+3 and x = y².

A:

Q: 1. Find the area of the region bounded by the graphs of the equation Y = x and y = x2.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 4. Evaluate 15x-6ydA where D is the region bounded by x=ty and x=

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

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

A: Here we find the area using integration.

Q: 1. Find the area of the finite region enclosed by у%3D — (х + 1)(х — 3) аnd y %3 0 | -

A: Given: y = -x+1x-3,  y = 0 To find: The area of the finite region enclosed by  y = -x+1x-3, y = 0.

Q: 3. Find the area of the region bounded by y = x and y = x².

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Q: 9) find the area of the region enclosed by: x= y' and x=-3y' +36

A: From the given problem: x=y2 : x=-3y2+36   So, the bounded region is shown below:     Finding the…