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

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

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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: Find the margin of error for the given values of c, s, and n. C=0.99, s= 3.3, n=11

A: Givenn=11s=3.3c=0.99degrees od freedom(df)=n-1=11-1=10 α=1-0.99=0.01α2=0.005t0.005 (10)=3.169

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

A: The shaded area is from 1 to 3

Q: Find the margin of error for the given values of​ c, s, and n. c =0.90​, s =3.8​, n= 18

A: c = 0.90 s = 3.8 n = 18

Q: Find the area of the shaded region. y = x 4-32 40 y=x4

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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. (3,7) y = 2x + 1 (1,3) A 10 12.5 7.5

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

A: We have the given curve equation as y=12x2+5x+6 On calculating partial fraction, we get the result…

Q: Find the area of the unbounded shaded region given below. 6 y = x2 + 4 2 - 10 -5 10 -1

A: Find the area of the region using properties of the definite integral

Q: Find the area of the shaded region. y 3y= 2 x+ 16 (1, 6) 6 4 (2, 4) (-2, 4) y = 8 – 2x -4 -2 2 4 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. 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: Select which shaded region below satisfies the conditions. 5x 4 37 3 <r<4 and 12.

A: We have to find the graph of required area.

Q: Find the total area of the shaded region. AY 24- 22 20- 18- 16 14- 12- y=12 10- 8- 6- 4- 48 468 10…

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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 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.

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

Q: Find the margin of error for the given values of​ c, s, and n.   c=0.95​, s=5​, n= 23

A: Given that, C = 0.95 Sample standard deviation = 5 Sample size, n = 23

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: Find the margin of error for the given values of​ c, σ​, and n.   c=0.90​, σ=3.3​, n=49

A: The population standard deviation is 3.3.

Q: Find the area of the shaded region (-2, 8) (2, 8) 8 y = 2x2 y = x - 2x2 -2 -1 2 O 111/12 O 95/24 O…

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Q: Find the area of the region enclosed by y = 3.5x and x = = 8.5 – y?. 4 7 8 to

A: y=3.5x  x=8.5-y^2

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 area of the region bounded by y²= 8x and ? = x please include graph and solution

A:

Q: Find the area of the shaded region. O Save y= 9 x- x 15 (7, 14) 10 5 y=2 x 2 4 8. 10 6. 20

A: To find the area of shaded region

Q: Find the margin of error for the given values of​ c, s, and n.   c=0.98​, s=2.2​, n= 19

A: Sample size = n = 19 Sample S.D = s = 2.2 Standard Error = s/√n  = 2.2/√19 = 0.50471…

Q: Find the margin of error for the given values of c, s, and n c=0.99 s=3.1 n=8 The margin of error is…

A: Our estimates will deviate by how many proportions of the total degrees from the true population…

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

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Q: Find the area of the shaded region. x = -y 2 x = 2 - -2 A B 10 3 2.

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

Q: Find the area of the shaded region. y=2 y= 2sin(70x) -2. O 4+4 4 + 8

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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: Find the area of the shaded region. y 14 y = 7x -x? 12 10 (5, 10) 8 6. 4 y = 2 x х 2 4 6 8 2.

A: Given the diagram :

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 region. y = 81 – x4 y 80 60 40 - 4 -2 2 4 20

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

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: 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: 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: c) Copy the vein diagram and shade the region for expression (A U C) – B. U A B C

A: Given,          The expression is A∪C-B .

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

A: Given query is to find the area enclosed by the curve : y = 81-x4

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: Find the area of the shaded region. y x = y° - 10 y 10 75 15 4' 2 -30 - 20 - 10 x = 5 y- y -5 - 10

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

A: Given that:       1.                                                                  2.…

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.