a)i) Calculate the area of the region enclosed by y=x2 , lines x=1 , x=3 , and the x− axis. Round up your answer to the nearest integer value. ii) Alternatively, if you want to compute the area of the region in Question 2a(i) as a sum using right endpoint approximation, obtain the value of n that will produce the answer obtained in Question 2a(i).

Q: find the region bounded by x= Y-y3 ,X=1 = 1 Y=L, revolved about o X- axis

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

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

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Q: Find the area of the region. 5ex y = 1 + e2x y 4 3 x = In V3 2 1 -2 -1 2)

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Q: 7. Draw and set up the integrals for the area enclosed by x = 2y and y = 2x, A. as type I region B.…

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Q: Sketch the region enclosed by the curves x-6=3y and x-24=(y-6)^2 and compute the area.

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Q: 2 ア=x,y=2r

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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: Sketch and shade the region y = x² – 1, hence find the total area between the given curve and the…

A: The standard form of a parabolic function is where (h, k) is the vertex. This standard form is also…

Q: 4. Find the area of the region bounded by the horizontal strip. y² +1 and the y-axis using

A: Topic = Area

Q: Consider a triangle of area 2 bounded by the graphs of y = x, y = 0, and x = 2.   Sketch the region?

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A: The midpoint is: A≈∆xf(x1)+f(x2)+...+f(xn) Here, ∆x=b-an and xi is the midpoint of the interval.…

Q: Sketch the region enclosed by the given curves and find the area.  y = 12 − x ² , y = x² − 6

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Q: 1- Find the area of the region enclosed by the line y=4x and the curve y=x'+ 3x'.

A: According to our guidelines we can answer only first question and rest can be reposted.

Q: Compute the area of the region enclosed x² 5x X 1) y 2 2 2 +

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

A: here we have .............the x-axis .............upper and lower limit (2 vertical lines)

Q: . Sketch the region enclosed by y= 9-x and y = 0 and calculate its area. 14.

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Q: 3. Show that the volume of a truncated prism whose right section is a paral- lelogram is the product…

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Q: Find the aea of the region bounded by 2. given Curves

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Q: 1.) Find the area of the region bounded by the curve ya 12 and the lines y=o, y=x, x=2.

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Q: 1. Draw and set up the integrals for the area enclosed the y-axis, the horizontal line y = e and the…

A: WE find area in type-I by vertical strip and in type-II by horizontal strip

Q: 3 Find the area Of the indicated region. between y=X and y= x2For x 'in

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Q: 1. Find the area of the region bounded by the ves y = x³ – 5x + 6, y = 10 – 4x – 4x2 and the line x…

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Q: Find the area of the region between y = 3x2 + 12 and y = 4x + 4 over [-3, 3] (Figure 12). y = 3r +…

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Q: Calculate the area of the region enclosed by y = x2 , lines x =1, x = 3, and the x − axis. Round up…

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Q: 2.2. Sketch the region enclosed by y = VI-1, 1- y = 1 and calculate its area.

A: Area between the curves

Q: 2. Find the area of the indiconted region. Between y=x3 and y=1 For x in El,ņ I for x in El,]

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Q: Determine the area of the region bounded by y=2x^2+10, y=4x+16, x=-2 and x-5. O 46/3 2/3 32/3 O 1/3…

A: Given y=2x2+10, y=4x+16, x=-2 and x=5

Q: 1) Sketch the region bounded by y = 1– x and y = x2 – x and find the area of this region. 2) Sketch…

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Q: Suppose the area of the region enclosed by f(x) = x - 1, y = 0, x = 2, x = 7 is approximated by…

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Q: Find the area of the given region. 5 y = 16 + x2 y 0.5 0.4 0.2 0.1 -1 1 4 -0.1 4 2.

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Q: Sketch the region enclosed by the curves y = 2 sin(x), y = 2 csc²(x), x = 7 and x = 4, and compute…

A: The given curves are: y=2 sin x,       y=2csc2x,       x=π4      and      x=3π4

Q: Use inscribed and circumscribed rectangles to find the area of the region to the right of the line x…

A: Concept: the area between the region y=f(x) and ==g(x) on the interval [a, b] Let us assume that…

Q: B- Find the area of the region bounded by y -x, y? x, and circle r = 2 By used Double integral.

A: Given: y=-x and y2=x from the above the we get x2=xx2-x=0⇒x(x-1)=0⇒x=0  and x=1

Q: Find the total area of the region satisfying the E

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Q: Find the area.of.. the region. R bounded by the graphs of gien equations 2. 4.= X +2 draw.and.…

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Q: While evaluating the area of the region bounded by two curves y√=xy=x and y−15x+54=0y−15x+54=0, the…

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Q: 1. Use integration to find the area of the given region R.

A: Determining intersection point of curves y=1-x and y+2x=-2 on solving we get y =4

Q: Compute Ix (I bar sub x, in mm4, round-off to 2 decimal places) for the region shown. 60 mm 80 mm 20…

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Q: Sketch the region. s= {(x, y)\x 2 -2, 0sys se2 y 14 12 600 10 8 400 4 200 O-2 4 6 8 10 2 4 8 10 y y…

A: Given information: The area is bounded by the region S=x,y|x≥2,0≤y≤5e-x2. Graph: Draw the graph of…

Q: 8. Draw and set up the integrals for the area enclosed by y = 4x – x² and y = x²: A. as type I…

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Q: Find the area of the region bounded by the graphs of the equations.

A: Find area of region.

Q: 1- Calculate the area of the region which is bounded by: y = (x - 1)², y = (x-4)2, and y = 0.

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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: In circle P with MZNPQ = 82 and NP = 3 units find area of sector NPQ. Round %3D to the nearest…

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

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Q: 4. Sketch the region enclosed by the curves y |x| and y = x2-2. Compute the area bounded by the…

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Q: Approximate the area of the shaded region using the Trapezoidal Rule and Simpson’s Rule with n = 4.

A: Definition used -             Trapezoidal Rule-                   ∫abf(x)dx≈∆x2(f(a)+…

Q: 5. Determine the area of the region bounded by y = 2x² + 10 and y = 4x + 16. %3D 28 24 y= 4x+16 20…

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Q: 5. Determine the area of the region bounded by y = 2x2 + 10 and y = 4x + 16. 28 24 y= 4x+16 20 16 y=…

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