Use partial fractions to find the area of the given region. 12 y = x² + 5x + 6 y

Q: Evaluate -6x)) JA where D is the region shown below ソニxマ ソニ -x

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Q: Use partial fractions to find the area of the given region.

A: Explanation: Given that,                                  Now find the partial fraction…

Q: Use partial fractions to find the area of the given region.

A: The shaded area is from 1 to 3

Q: Find the area of the shaded region. (-11/4, 11/2) 10 y 8 x = y² - 6 y 6 4 -2 x = 5 y-y² 5

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Q: Use partial fractions to find the area of the given region. 12 %3D x2 + 5x + 6 y 1 2 3 4 5 2.

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Q: Find the area of the shaded region. y 2 x = y - 6 y=1 x= -4 -2 2 4 H y = -1 -3 2. 3.

A: Given two curves x=y2-6 and x=ey To find the area of shaded region bounded between y=-1 and y=1

Q: i)Find the area of the region enclosed by graph of fx=x3-x2 and gx= 2x .

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Q: (b) Find the total areas of the shaded region. y = x} y = -2x4 2.

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Q: Use partial fractions to find the area of the given region. y = 12 2+5x+6 y 2 2 3 4 5

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Q: Find the area of the region. y = 81 – x4 y 60 40 -2 4 2. 20

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Q: Find the area of the shaded region. y y3x² 3y 2 x+16 8 (1, 6) 4 (2, 4) (-2, 4) 2 y = 8 – 2 x -4 -2 4…

A: First we will divide the region in two parts.

Q: Find the area of the shaded region. 6) 8 10 x

A: Solution: The objective is to find the area of the shaded region

Q: Find the area of the shaded region. y. 8- x= y-6y (-35/4, 7/2) -12 -10 -4 x=y-y

A: Please refer the attached image for complete solution.

Q: find the area of the shaded region. m = x2+3

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Q: Find the area of the shaded region. y=2x2+x-6 y=x2-4 W

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

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Q: Find the area of the shaded region. y y=5x-x (3, 6) 4 2 y=2 x 1 2 3 4

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Q: Find the area of the UNSHADED region -3 -2 -1 1 2 3

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Q: Evaluate / xydA, where R is the region shown below. R 1,3) (5. 3) R (2, 1) (4, 1)

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Q: Find the area of the shaded region. y=x-4 y= /2x 2. 8. 10 x -4 2.

A: Given query is to find the area of tha shaded region.

Q: 5. Evaluate ffV+y dA, where the region R is given by R-(r, y) |15+ vS 4,x 2 0}.

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Q: Find the area of the shaded region. 15) y=-x4 y = x2 - 2x C) 2 76 D)- 15

A: From the given graph. Use the double integration method to calculate the bounded…

Q: Find the area of the shaded region. y = x2 + 3 (2,7) (0,3) 23 A) 3 26 В) 3 22 25 D) 3

A: As per the guidelines we can solve 1 problem only.

Q: y = x2 − 2x,  y = 4x + 7 find area of region

A: y=x2-2x......(1)y=4x+7......(2) Solve the above equation, 4x+7=x2-2xx2-6x-7=0x=-1,7

Q: Use partial fractions to find the area of the given region. 12 y = x2 + 5x + 6 y 2 1 2 4

A: from given figure it's clear that

Q: Find the total area of the shaded regions. Ay 40 y = 4x (3,36) 32 +3,36) 24 16 y=x*- 5x² -6 -4

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Q: Find the area of the shaded region. y y = 9x-x 20- 15- (7, 14) 1아 5- y= 2x 10

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Q: Find the area of the shaded region. y 15 y = 7x-x² 10 (5, 10) 5 y= 2 x 4 6. Enhanced Feedhaclo

A: We can application integration in order to solve the given problem.

Q: Find the area of the shaded region. y = -x3 + x2 + 16x and y = 4x %3D 30 254 20 IS 104 y 4x 20 25 30…

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Q: Find the total area of the rose curve. r = 3cos(2theta)

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Q: 25. Find the area of the partial circle. R=18'-7" 155°

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Q: Use partial fractions to find the area of the given region.

A: Given: fx=159-x2 according to given figure shaded areaA can be find as below A=∫02fxdx…

Q: Find the area of the given region. y = x − x2

A: The given region is the colored portion of the following graph: Lower limit of x value is 0 and the…

Q: 2 and y c2 – 2² is 440 then: If c > 0 and the area of the region enclosed by y = x c =

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Q: Find the area of the shaded region. X = y 6 x = 27 / y2 6.

A: Area between the curve x=f(y) and x=g(y) on [a, b] is, A=∫abfy-gydy

Q: Find the area of the region. y = 81 – x4 y 80 60 40 - 4 -2 2 4 20

A: From the graph calculate the region for the integration.

Q: Find the area of the shaded region: y y = x - 15 x 20 10 y = x (4, 4) -6 2 4 6. (-4,-4) - 10 - 20

A: QUESTION-  Find the area of the shaded region

Q: z> (x² + y? )+/2 Draw the region: and x² + y? + z² 4 x² + y? + z2 <= 16 and

A: Consider the inequalities, z≥x2+y212, x2+y2+z2≥4 and  x2+y2+z2≤16 To draw the region enclosed by…

Q: Use partial fractions to find the area of the given region. 12 x2 + 5x + 6 y 2 3. 4. 5. 2.

A: Solution:- The given function is  f(x)=12x2+5x+6

Q: find area, y=2x , y=3-x2  (0,1)

A: Area is a 2-dimensional quantity which is the measure of amount of space covered by any shape in a…

Q: 7. Are these two regions the same? R1 = {(x, y) | 0 < y < 2, y? < x < 4} R2 = {(x, y) | 0 < x < 4, 0…

A: The objective is to explain whether the two regions are same R1=x,y | 0≤y≤2, y2≤x≤4 R2=x,y | 0≤x≤4,…

Q: Find the total area of the shaded region. AY 14- 12- 10- 8- y=7 6- 4- y%3Dx 2- 28 10 12 14

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Q: Use partial fractions to find the area of the given region. 12 y = x2 + 5x + 6 2 5 4, 2-

A: The given function is y=12x2+5x+6 we have to calculate :-  Area =∫04y dx=∫0412x2+5x+6dx

Q: Find the area of the shaded region. y x = y - 4 y 15 5 4'2 2 -6 -5 -4 3 -2 X= y-y -2 -4 -6F

A: Given, The right function   x = y -y2  and left function     x = y2 - 4y Point of intersection of…

Q: Evaluate xydA, where R is the region shown below. R f1, 3) (5, 3) R (2, 1) (4, 1) x xydA = i R

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Q: how do you find the shaded region of (A' U B)n C

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Q: Find the total areas of the shaded regions

A: The shaded region is determined by two curves namely y=x2 on [0,1] and x+y=2⇒y=2-x on [1,2]. Also,…

Q: Use partial fractions to find the area of the given region. 12 y = - .2 x + 5x + 6 y 2 2 3 4 5

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Q: Find the partial area of the circle that is shaded. Give the exact and approximate answe

A: Given that:       1.                                                                  2.…