ex and 2 The area betweeny et curves and x = 1 line is given. %3D - a)draw the graph in the coordinate system and specify the area b)write the integral expressing the volume of the object formed by rotating the given region around the y axis c)solve the integral

Q: Evaluate the integral (2.x - y)dA, where D is the region in the first quadrant enclosed by the lines…

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Q: 2)Find the area between y2=x and y=X-2 by using: a) Vertical strip. b)Horizontal strip.

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Q: 5. Use Desmos to sketch the region whose area is , V36 – x² on the provided coordinate plane. Then,…

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Q: Find the area bounded by the indicated curves. x=2y2 – 1, x= y? +8 109 OA. 3 О В. 36 ОС. 24 O D. 27

A: We will sketch the graphs and find the points of intersection. Then we will mark the appropriate…

Q: 3. Use the area formula derived from Green's theorem in order to compute y? the area of the ellipse…

A: Introduction: Green's theorem is a significant theorem in line integral. Suppose, the line integral…

Q: 4. Find the SURFACE AREA of this delicous can of soup. * 2 TH VEGETABLE CLASSICS OPERN PROGRESSO…

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Q: The volume generated by revolving the first-quadrant area bounded by the parabola y2 = 8x and the…

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Q: The lateral area L of any prism whose altitude measures h and whose base has perimeter P is given by…

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Q: 12. Find the area of the region enclosed between the curves defined by the equations y = √(x + 2), y…

A: We have to evaluate the area of the region bounded by the curve y=x+2 and the line y=x using the…

Q: Find the area enclosed by the given curves. y 2x-x, y-2x-4 37 34 OB. 3. 31 32 3 D.

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Q: 1. Find the area of the region enclosed by the equations below. y = x² – 2x and y = x

A: Given function :

Q: ind the area of the region bounded by the graphs of the given equations. y = 2 x + 24, y = x2

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Q: 3. Find the area of the region bounded by the parabola y? = 2x – x and the line y = x – 5 by taking…

A: We have equation of parabola  y2=2x-xy2=x                                                     ……(1)…

Q: Find the area between the following curves. x= -3, x= 1, y=e^, and y-3- e 2 (Type an exact answer in…

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Q: between

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Q: Figure,, ty-axis 1cm 1cm R-2cin C5 X-axis

A: To determine: The area of the given figure. Concept: We shall split the given shape into triangle,…

Q: Find the area of the region enclosed by the graphs of 1 0, and x = 10 1 y = 0, x 1 — 25л2 NOTE:…

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Q: Find the area enclosed by the given curves. y csc 2 x, y = cot 2 x, x ▪ , and x- 3n Do o o

A: Given query is to find the area inclosed by the curves.

Q: Given the area in the first quadrant bound by x²= 8y , the line x= 3 and the x-axis. What is the…

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Q: 11. Find the area of the region enclosed by x+y? = 0 and r+3y? = 2.

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Q: 1. the bop of y? = x * (3 - x)

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Q: Find the area of the region bounded by the graphs of the equations given as follows :-   find the…

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Q: Find the area of the region enclosed by the graphs of 1 1 =0, and x = 4 y = 0, x V1– 4x? - NOTE:…

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Q: The area bounded by the curve y = 6x , the x-axis and the ordinates x = = 0, x = 2 is 6 O 3 O 12 O…

A: area bounded by curve and x axis given by integrating curve

Q: Find the area of the region enclosed by the graphs of 1 VI- 472' Y =0, x = 0, and x = 4' 1 — 4г?

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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: Find the area enclosed by the given curves. 10) y = - 4sin x, y = sin 2x, 0 < x < n B) A) 16 C) 8 D)…

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Q: 15. у з ,y = 1+x? Y = |x|

A: Accoding to Given Question no 15 only

Q: Sketch the following region enclosed by the following curves and find its area. y = x, y = a, x = b,…

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Q: y² = x and y² = 2 − x

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Q: Find the area enclosed by the given curves y= x?,y = x 2 + 6, x = -2, and x = + 2 32 16 4 O00O

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Q: 4. Find the area of the region bounded by y = sin x and y = sin? x between a = 0 and a =

A: The region bounded by y=sinx and y=sin2x between x=0 and x=π2 Note:    Multiple questions are given,…

Q: 1. Let V be the volume of a pyramid of height 20 whose base is a square of side 8. (a) Use similar…

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

Q: If 0 < c < 1, find the area enclosed by the graphs of y=0, y=1/x,

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Q: T is revolved around the 4. Find the volume of the region formed when the area enclosed by y = x and…

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Q: 17. y = 2+ |x– 1|, y = -x+7 18

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Q: Find the area bounded by the given curves: (answers in square unit) a)y = x2 − 5 and y = 4 − 8x2…

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Q: Find the area between the curves y = e and y = ex (shown below) from x = 0 to x = 2. (Leave the…

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Q: Find the area enclosed by the given curves. Find the area of the "triangular" region in the first…

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Q: The area labeled Bl is 5 times the area labeled Al. Express din terms of al. yA y= e* y= e* A a b.

A: In calculus, an integral is a mathematical object that can be interpreted as an area or a…

Q: Calculate the area limited by the graph of the equation r2 = 4sin2∅

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Q: a the area of R is ESG - mx - b][1 + mf (x)] dx Hint: This formula can be verified by subtracting…

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Q: ind c such that the area between the curves y = r- c and y = c -2 is equal to 69. Round your nswer…

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Q: Find the area bound by the graphs of y = sin x, y = 1 and the y-axis in the first quadrant.

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Q: ind the area between the two curves: y = x2 and y = 4x + 5 -symbolic formatting help

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Q: Graph the equations and shade the area of the region between the curves. Determine its area by…

A: The solution are next step

Q: 1. Find the AREA of the region bounded by y = y=x, and y = 5. Express the answer as an exact value…

A: Please see the explanation below

Q: ind the area bounded by y = sinx - e*, the x-axis and the lines x = HT onfe 10 7 juo 44 KI4 x = ².…

A: This question is based on definite integral.

Q: Graph the equations and shade the area of the region between the curves. Determine its area by…

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Q: The area bounded by the curve y=cos2x and the x-axis is revolved about the x-axis. What is the…

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