What is the area bounded by the curve y2 = 4x and x2 = 4y? А. 5.33 В. 6.67 С. 7.33 5- -5 5 D 8 67

Q: 2. Find the area in the third quadrant bounded by the curve x= y2 + 2y.

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Q: 2/ determine the area of the region enclosed between the curves x= 0.5y-3 and y=x-1? ans/ 18 2. 10

A: In the question it is asked to calculate the area between two curves y=0.5y2-3; y=x-1.

Q: 2. Find the cerntroid of the area bounded by the curve y= 2x + 1 x+y =7 and x= 8

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Q: 2/ determine the area of the region enclosed between the curves x= 0.sy-3 and y=x-1? ans/ 18

A: Topic- Application of Integration

Q: 2. FIND THE AREA BOUNIDE O BY 2 y= x (2,4) and the X- axis THE CURVE

A: The given curve is: y=x2      .........(1)We have to find the area bounded by the curve y=x2, (2,4)…

Q: 2/ determine the area of the region enclosed between the curves x= 0.5y-3 and y=x-1? ans/ 18 2. 10…

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Q: Set up the definite integral required to find the area of the region between the graph of y= 2²-12…

A: find intersection point

Q: What is the area bounded by the curve x^2 = -9y and the line y + 1 = 0?

A: Solution:Givenx2=-9yy+1=0To find the area bounded by the curveFormula:Area=∫abf(x)-g(x)dx

Q: Solve the area bounded by y3 + 10y + 5 = x², the y-axis and the lines y=0 and y=3 *

A: Given:  The boundary curve1. y3+10y+5 = x2  OR x = ±y3+10y+5 2. y=03. y=34. x=0 y-axisThe given…

Q: Find the area between the curves. x = 0, x = 3, y = 2e3x, y = e3x + e6

A: To find the area between the curves, f(x)=2e3x and g(x)=e3x+e6, use the formula, A=∫ab[g(x)-f(x)]dx.…

Q: 2. Find the area between the curve y = 3x2 + 2 and the line y = 2 * x- 3 from x = 0 to x = 3. Answer…

A: To find the area enclosed by the curves y=3x2+2 & y=2x-3 from x=0 to x=3.

Q: 6. Find the area bounded by the curve ay = x² and the lines y = a and y = 4a.

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Q: Determine the area of the region between the two curves by integrating over the y-axis. x = y² and x…

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Q: Determine the area (in units) of the region between the two curves by integrating over the x-axis. y…

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Q: y = e²x and x - 2y + 5 = 0

A: I am attaching image so that you understand each and every step.

Q: 4/ Find the area of the region enclosed between the curves y= cos 2x, y=0, x=TT/4, x= TT/2 ? ans/…

A: The curve is given as y=cos2x The objective is to find the area of the shaded part.

Q: 9. (20 pts) Find the area between (bounded) by the curves y = x² + 10x and y=2x+9.

A: Given: curves y=x^2+10x , y=2x+9 We have to find the area between the curves

Q: Find the area under the curve y = 5xe- for x > 4. area =|| %3D

A: Explanation of the solution is given below...

Q: 5. Calculate the area between the Curve fex) = 4-x² and y = 4, y = 2x_4? 20 GMS: S-U 3

A: To find the area bounded by the curves f(x)=4-x2, y=4, y=2x-4. The region bounded by the curves is:

Q: 2/ determine the area of the region enclosed between the curves x= 0.5y-3 and y=x-1? ans/ 18 10 4.…

A: Consider R be the required region or shaded region

Q: Sketch the region whose area is given by the definite integral. 36 - x2 dx y y 12 35 30 25 20 15 10…

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Q: 3. Find the area bounded by the curve ay² = r8 and the line * = 4 a. Ans. 142 a².

A: Find the area bounded by the curve.

Q: An area bounded byy = 0, x = 0, and y = e*, is revolved about the x-axis. 7. CD method is…

A: Yes it is true we can use CD method here for area revolution and find volume generated due to area…

Q: 1. Find the area bounded by the curves y – 2 = x² ,y = 6 and the y – axis ( in Quadrant I only), as…

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Q: 1/ Find the area of the region enclosed between the curves y= 2x2+10 and y=4x+16 and ,x=-2 and x=5?…

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: ii. Apply an appropriate method to approximate the area under the curve y = 65 – x*. 70 60 50 40 30…

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Q: Find the area between the curve inclosed by the curve x = 2y^2 and the curve x = 4 + y^2

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Q: 3. Find the area bounded by the curve 2x? + 4x + y = 0 and y = 2x. Answer: sq. u.

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Q: 4/ Find the area of the region enclosed between the curves y= cos 2x y=0, x=TT/4, x= TT/2 ? ans/ 1/2

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: If f(x) = a +2a + 4, then the estimation of the area under the curve y = f(x) between 1 <r < 2 with…

A: We have to choose correct option

Q: Find the area between the curves. x= 0, x= 3, y=2 eX, y= e³ 3x + e

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Q: Find the area bounded by the given curves. y = 2x - x2, y = 2x- 4 32 O A. w/ 3 37 OB. 3 31 OC. 3

A: The objective is to find the area bounded by the given curves

Q: Find the area between y= e" and y = e over [0, 1]. %3D A =

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Q: What is the area bounded by the curve y² x – 4 = 0? А. 29/3 В. 30/3 С. 31/3 = x and the line %3D -…

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Q: y = 2 ve y = x² Calculate the area between the curves 1+x?

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Q: 4/Find the area of the region enclosed between the curves y=0, x=TT/4, x= TT/2 ? ans/ 1/2

A: The curves given to us is  y=cos2x,y=0x=π4,x=π2

Q: 4. Find the area between the curves y = x2(x – 3) and y2 + 8y – 16x + 48 = 0

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Q: 18 - over the interval [ – 1, 1]. (x + 2)? Find the area under the curve y = area

A: The area under the curve y=f(x) over the interval a, b is defined as A=∫abfxdx.

Q: 2 1 2 3 4 5 6 7 8 2 to z = 7 using a Left Endpoint Approximate the area under the curve shown above…

A: The left point approximation of a function f(x) over the interval [a,b] with n subintervals is given…

Q: 4. Find the area bounded by the given curves:y² = x + 4, x - 2y + 1 = 0

A: Answer is given in next step.

Q: Find the area bounded between two curve by using Simpson' 3/8rule y=Vx+2 x=2 y = x+1

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Q: Solve the area bounded by y3 + 10y + 5 = x², the y-axis and the lines y=O and y=3

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Q: Find the area bounded by the curve xy=2 and the line x+y=3 O 0.11 O 0.17 O 0.22 0.05

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Q: 2) Find the area of the region enclosed between the two curves y = x² and y = -x? + 4х.

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Q: 4 / Find the area of the region enclosed between the curves y%3= cos 2x, y=0, x-TT/4, x- TT/2 ? ans/…

A: we allowed providing one solution at a time. Please upload the rest questions seprately.   Question…

Q: Find the area of the region between the curve y = 5-* and the interval 0sxs2 on the x-axis. 25 O A.…

A: Given query is to find the area of region by curve and x axis.

Q: What is the area bounded by the curve x^2=-9y and the line y+1=0. O 3 O 4 O 5

A: Given equations: x2=-9yy+1=0

Q: 17) Find the area bounded by the curve 4x - 3y + 19 =0, y-axis, the lines y = 1 and y = 5.* O a) 15…

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Q: Find the area bounded by the curve y=x^2 and the line y-4=0. O A. 16/3 В. 32/3 О с.0

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