660. Let A = (1, 5), B = (3, 1), C = (5, 4), A' = (5,9), B' = (11, –3), and C' = (17, 6). %3D Show that there is a dilation that transforms triangle ABC onto triangle A'B'C'. In other words, find the dilation center and the magnification factor.

Q: O Find the area • y- 1x, y- e* %3D

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Q: 2. pusts s-zX x)"こ(x)6

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Q: Find the area of the shaded region.

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Q: Find the area bounded by the curves 5y^2 = 16x and the curve y^2 = 8x – 24

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Q: Find the area bounded by the following curve and line: y=4/x , y²-4y+2x=5 and the line y=4

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Q: 3. Find the area of the striped sector. MV 104 d-25ft

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

Q: YA y= /(x) 0. C

A: Topic- area under the curve

Q: 4. Find the area of the shaded region by integrating with respect to 'y', y-2x-4 1.-2)

A: The area between two curves f1 and f2 between the points y=a to y =b is given by; A=∫ab(f2-f1)dy

Q: у%3D 2х — х", у%3D 2х — 4х -

A:

Q: Find between the porabolas the area 2 2.y= X+2 メャ 2.

A: We first sketch the region using a graphing calculator

Q: What is the area to the right of z=1.15?

A: Given z=1.15

Q: he area bounded by y^2=4x and the line 4x-3y-4=0.

A: In this question, the concept of Integration is applied to determine the area bounded by two curves.…

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

Q: Calculate the area of the shaded part y = x + 3 and y = x³ – 3x + 3. y3x+3 Area 1 Area 2 (2, 5) + y…

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Q: Find the total area of the shaded regions. 14 Q 4-2,12) 12- (2,12) 2. fy%3D3x ty= 10 -4- -2- y%3Dx…

A: We will solve the problem

Q: 2. (a) Find the area between y = 3x² – 4 and y = 6x + 5.

A:

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: у 3 4/x, у-4y + 2х %3D 5 2x = 5

A:

Q: Compute the area of the shaded region. y=-x(x-2) 3 3/4 13

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Q: Find the area in the first quandrant bound by the parabola y

A:

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

A:

Q: Compute the area contained between the parabolas y and y =4-

A: Given parabolasy=x23y=4-23x2

Q: B- Find the area between the curve (y-√x - 2) and the lines (y-4-x),(y=0).

A: We have given three curves-y=x-2y=4-xy=0 First we will find intersection of first two curves…

Q: 2.1 Find the area of the shaded region. y=1 x=y'-1

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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: The area bounded by the curve y = 3x and the lines x = 4 and x = 6 above the x - axis is O 30.00…

A: Given that y=3x at x=4 and x=6  find out area bounded by the curve

Q: The area bounded by the curve y = 10x and the lines z = 7,x = 11 and a – axis is O 850 square units…

A: Given y=10x,x=7,x=11 and x-axis  Area= integral a to b f(x) dx  Let y=f(x)=10x then find area…

Q: Find by integration the area of the triangle having vertices at (3, 4), (2, 0), and (0, 1).

A:

Q: If rectangle ABCD is dilated by a scale factor of 1.5 with a center of dilation at vertex A, how…

A:

Q: Suppose an area S of a parabola y = x² illustrated in Figure 1.1 below is divided into four stripes…

A: The area, A, of a rectangle is calculated using the formula: A=l·w, where l, w are the length, width…

Q: Evaluate C, dxdy, by first reversing the order. . Se ye" x' i) Draw the region R for the above…

A: This question is related to Integral calculus

Q: Determine the area of the shaded region given the following figure. x= y2 - 15 -19 -8- 10 - 15 Ов.…

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Q: Evaluate ]] 6z°dxdydz , where V – is the region below 4x+ y+2z=10 in the | V first octont

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Q: Find the area between the loops of the limacon r=2(1+2cosθ).

A:

Q: Where is the center of dilation on BC, if the scale factor = 0.8? R1 R2 -> R3 R4- Region 1 on BC…

A: Given: Scale factor=0.8

Q: Determine the area of the shaded region. 70. 15 4+ 3+ 2- 1 이 12x - x2 2 becodelating onesyde, −12 +…

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Q: Find the area of the unbounded shaded region.

A: We see from the curve that x is varying from x=0 to x=1 for shaded region.So, our limit will be x=0…

Q: Find the area between the cuo ves CUrres y=8-x² and y= -2

A: Given curve

Q: Find the Area of the region inclosed by x=y3 and x=y1/2-6

A: Please find the solution below:

Q: 1- Find the area of the region enclosed by the line y=4x and the curve y=x³ + 3x.

A: To. Find thhe area of enclosed region

Q: d the area of region between twe nctions flx)= oinx, Sc)=cosax,-LXLI

A:

Q: Find the measure of ZD AC.

A: Given :segment ED and segment Ec are tangents to circl A m∠DBC=57°To find :m∠DAC

Q: 2. Find the area the regiro Anended ky 4 4. and x - = 3y- 4 ラメ ラメ

A:

Q: Find the area between the loops of the limacon r=4(1+2cos(Θ)).

A:

Q: Find area to the right of z=2.3

A: We have to find area to the right of z=2.3

Q: What is the scale factor of the dilation centered at the origin that maps ABC to A'B"C'?

A: Given that the coordinates of the triangle ABC is A-2,1,B2,3 and C2,0 and the coordinates of the…

Q: Find the area of one petal of the rose curve.  r=2sin(5theta)

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Q: Start with the area bounded by y=x^2 , y=0 and x=2, then rotate around the line y=4.

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Q: Compute the area of the shaded region. y -x+8 -8 128 4. O 16 64

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

A: We use integral to find area bounded by curve and lines

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.