* Use Partial Fraction method to evaluate "y4 + y² - 1 dy y3 + y

Q: find the total area of the region between the graphof ƒ and the x-axis. ƒ(x) = 1 - (x2/4), -2 ≤ x ≤…

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Q: find the total area of the region between the graphof ƒ and the x-axis. ƒ(x) = x2 - 4x + 3, 0 ≤ x ≤…

A: We first sketch the region using a graphing calculator.

Q: Find the area of the region bounded by the graphs of the  2 equations. a)y = −x2 + 10x,    y = 0 =…

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Q: Find the area of the region bounded by the curve  y=2x2-3x+2  x axis and vertical lines x=0 and x =…

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Q: 2) a) Consider a rectangle which is on the region bounded by the lines y = x+4, y =-x+4 and X -…

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

Q: Q3/Explain the rules of integral by partial fractions method and solve following example x2 ?…

A: We have to solve using partial fraction.

Q: 9. Find an expression in terms of x for the volume of this cuboid 3z - 1 2z - 3 5z +1 30z - 492 - 4z…

A: Concept: Volume of the cuboid is given by the formula: v=l×w×h

Q: When the degree of a polynomial ƒ(x) is less than the degree of a polynomial g(x), how do you write…

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Q: Find the area of the region bounded by y=x^2-6x+5, y=0 and the lines x=2 and x=5

A: We have to find the area of the region bounded by y=x2−6x+5, y=0 and the lines x=2 and x=5. The…

Q: Find the area of the region bounded by the graphs of the equations. y = 8x2 + 4,  x = 0,  x = 2,  y…

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Q: find Partial, saution Salisfy y62) =\

A: Given equation, y=x+1+y'  ;  y-2=1

Q: Find the exact area of the shaded region: (0, 4) y = 4 - x2 3 (3,-5)

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Q: Consider a rectangle which is on the region bounded by the lines y=x+4 y=-x+4  and X-axis. If its…

A: Consider a rectangle which is on the region bounded by the lines y=x+4 y=-x+4  and X-axis   Let…

Q: 2. Find the area of: (a) the region bounded by y = x^2, the x-axis and the line x = 2 (b) the region…

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Q: Determine the area of the region bounded by y = 4x + 3, y = 6 –- x - 2x2, x = -4 and x = 2. Sketch…

A: Given:- y = 6-x-2x2 , y=4x+3 , x=-4 , x=2  To find:- Area of region bounded by given curves

Q: Express the integrand as a sum of partial fractions and evaluate the integral. 7x² +3x+8 xp- x -1…

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Q: decompostition

A: The integral given is , ∫x3+1x2+42dx. Apply the partial decomposition,…

Q: Find the area of the region enclosed by x = 9- y² and x = 5.

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Q: partial

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Q: Solve for the region bounded by y=9-x^2 and y=x^4.

A: To find- Region bounded by the given curves.

Q: Find the area of the region enclosed by the graphs of x = 9-y^2 and x = 5.

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Q: Expand by partial fractions. x2 + 3x – 4

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Q: Compute the partial sum

A: Introduction: A Partial Sum is the sum of a segment of a sequence. An Infinite Series is the sum of…

Q: Express the integrand as a sum of partial fractions and evaluate the integral. 9x2 - + 5x + 10 dp-…

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Q: Draw the diagram of the region bounded by y=2x+1, x+y=7 and x=

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Q: The shaded region between the graphs of y = – 2x² + 20 and y = 3x - 15 is displayed below in orange.…

A: The limit of x can be determined by solving the graphs of functions for x, so…

Q: Expand the quotient by partial fractions. X +2 (x + 1)2 X +2 (x + 1)2 (Simplify your answer. Use…

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Q: find the total area of the region between the graphof ƒ and the x-axis. ƒ(x) = 1 - √x, 0 ≤ x ≤ 4

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Q: Explain one application of partial equations in detail

A: According to the given information, it is required to explain the application of partial equation.…

Q: the area of the region bounded by the graphs of y2 = 5 - x

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Q: 2. Find the area of the region bounded by y = 2x² +10, y = 4x+16, x = -2, and x = 5.

A: first draw bounded region then find limit of region and using vertical strips find the area

Q: (4+x*)³ 3

A: To find ∫x dx(4+x2)3 Use the substitution method to solve substitute t=4+x2  i.e. dt=2x dx

Q: Express 2x − 1/(2x − 3)(x − 1) in partial fraction form

A: The given expression is 2x-12x-3x-1. This expression can be written as follows.…

Q: The shaded region between the graphs of y = 2x2 + 20 and y = 3x – 15 is displayed below in 25 -6 -…

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Q: = -x² + 3x |(2, 2) y y -2 +1 1 y = 2x – x² – 5x (-2, –10) - –10 |

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Q: How many square units is the area of the region bounded by the two curves y = x^2 - 4x and y = x^3 -…

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Q: Find the area of the region bounded by the graphs of the given equations x=y^2 , x=16-y^2

A: topic - area bounded by curves

Q: Find the area of the region between the curves y = 8 - x2, y = x², x = -3, and x = 3. Area between…

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Q: Find the area of the region bounded by the  graph y=2x2-3x+2 the x axis and the vertical lines x=0…

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Q: piece of wire 26 m long is cut into two pieces. One piece is bent into a square and the other is…

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Q: Find the total area of the regions enclosed by the two curves y = 4-x2 and y = -x+2 %3D and the two…

A: The given curves are: y=4-x2, y=-x+2 and the lines x=-2, x=3

Q: Find the area of the shaded region. Ay 81- y= 81-x 63- 45- 27- 9- -9 -7 -5 -3 -9 1 3 5 7 9 11 -27-…

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Q: 2. Find the area of: (a) the region bounded by y = x^2, the x-axis and the line x = 2 (b) the region…

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Q: 5. A piece of wire 30cm long is cut into two pieces. One piece is bent into a square and the other…

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Q: Chapter 6, Section 6.1, Question 001 Find the area of the shaded region. y = x² +4 y = x 4 -1 4…

A: We have to calculate area of shaded region

Q: Find the exact area of the region bounded by the graphs of y = x2 -4x+3 and y = -x2 +2x+1. Also…

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Q: Express the integrand as a sum of partial fractions and evaluate the integral. 7x² +4x + 7 xp- 3-1…

A: Please see the explanation below

Q: Find the area of the shaded region. Ay 121- y 121-x 99- 77- 55- 33- 11- -11 -9 -7 -5 -3-11 3 5 7 9…

A: The given figure is: Find the area of the shaded region.

Q: Determine the area of the shaded region bounded by y = -x² + 8x and y = x² - 6x. Ay 30- 20 10 -30…

A: We first find the x values where the graphs intersect by setting them equal.…

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

A: use vertical strip to get limits