What is the area of this sector? 3 [ ? ]T 4

Q: O Find the area • y- 1x, y- e* %3D

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Q: 1. Find the area bounded by the parabola y=4ax, the x-axis, and the lines x=4a, x=9a.

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Q: Find c > 0 such that the area of the region enclosed by the parabolas y 2 and - y = c² – a? is 90.

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Q: 4 -2 2. a

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Q: x² + a? = 1

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Q: 2. The area between the graphs of a(t) = t2 + 5 and b(t) = 2t3 + 3t? – 4t + 5.

A: According to the guideline we should have been able to solve only one question at a time #2

Q: Find Is, Iy and I, for the area enclosed by the loop of y? = x²(2 – x) %3D

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Q: Find c > 0 such that the area of the region enclosed by the parabolas y = x² – c² and y = c² – x? is…

A: We have to calculate the value of c for c>0 such that area enclosed by the parabolas.

Q: find the area of the region. 2y = 4/T, y = 4, and 2y + 2r = 6

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Q: Find the area of the shaded region. y = x² +1 %3D 5 y = x -1 A 23 2. 2/2

A: Given

Q: 2. Find the area bounded by y = 2x? + 10 and y (Hint: you will need both points of intersection). =…

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Q: Find the area of the region that lies inside the first curve and outside the second curve. 7-…

A: r2=18cos2θ r=3 Then, r2=9 First, we will find the intersecting points of both the curves-…

Q: Find the area A of the region between the graphs of the equations y? = 9x x2 = 9y A = 27 9.

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Q: Find the area of the shaded region.

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Q: The area bounded by the curve x = 4y + 7, the y-axis and the abscissas Y = 0 and y = 2 is 11 22 18…

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Q: Find the value of c > 0 such that the area of the region enclosed by the parabolas y = x? – c and y…

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Q: The area enclosed by the curves y = x and y = 3x – x² is (a) 2/3 (b) 4/3 (c) 10/4 (d) 9/2 (е) 2

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Q: The area which is enclosed by the curve x2 – 10x + 4y + y? = 196 is O 12n 15n О 14п 144n O 225n

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Q: 2. Fmd the area of the loop of the given cierve y' = (1-x²)ª

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Q: Find the area enclosed a'x = y°(2a – y)| 2 X. -

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Q: Evaluate B) Find the area between the parabolas x = y? – 1 and x = 2y? – 2

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Q: Find c 0 such that the area of the region enclosed by the parabolas y z? -c² and y= c² – a?is 200.

A: Solution: we are given curves and firstly, we find bounds and for finding bounds, we set them…

Q: Find the area of shaded region frx)- メ+3 grx)= -x²_ 3 Alx) 3 gre a) 176 3 5) = 88 C) 44 3.

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Q: The area z =-2.18 and z 1.42 is

A: We have to fine The area z =-2.18 and z 1.42 is

Q: Q5 / Find the area of the triangular region in the first quadrant bounded by the x-axis and the…

A: We have to solve given problem:

Q: b) Find the area of the shaded region. 1) ii) アー =-y 2Fx=2-

A: 1. Required area is, ∫04x dx+∫04-14x dx=∫04x12 dx+14∫04x dx=x323204+14x2204=23432-0+148-0=238+2=223

Q: The area of a sector is Asector=n/360ºπr^2. What does the term n/360º represent?

A: Given that area of sector is n360∘πr2.

Q: c) Find the area between: y = 2x + 3 and y = -x² + 10x – 9 %3D

A: We first sketch the region using a graphing calculator The functions intersect at x=2 and x=6

Q: a) Find the area of the curve x²/3 +y2/3 = a²/3 %3D

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Q: Find c > 0 such that the area of the region enclosed by the parabolas y = x2 – c2 and y c2 – x? is…

A: Given:-   c > 0 such that the area of the region enclosed by the parabolas C = y = x2 - c2 and y…

Q: 4. Find the area between the parabolas y? = 4ax and x² = 4ay. %3D

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Q: y = 2 16-2

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Q: What is the area of a sector when 0 = 85° and r = 2 ? [ ? ]T

A: Explanation of the answer is as follows

Q: Q2A) For the parcel shown in the figure below: Compute the area using: a. Trapezoidal Rule 30m 25m…

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Q: Q2 Find the area of the shaded region. (a) YA x= y² – 4y (-3, 3)– x= 2y – y²

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Q: Find the total area of the shaded region below. y y = sec?t 2 1 21 - 3 3 y = -4sin?: -4

A: Solve the following

Q: Find the area of the sector. Use 3.14 for T. C 19 m 37 Your answer: O 6.1 O 9.7 O 12.6 O 116.5 B.

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Q: Find the area of the region enclosed by t 4x² + y = 4 and x* - y = 1.

A: Here we have to find find the area enclosed by the region 4x2+y=4 ...............(1) and…

Q: 25. Find the area of the curve r² = a²cos 20. B. a A. a² C. 2a D. a³

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Q: 7. What is the area bounded by the curve y=x and the line x-4=0? A. 10 32 B. 3 C. 32 D. 11

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Q: Find the value of c > 0 such that the area of the region bounded by the parabolas x² - c and c2 -x²…

A: Sketch the region and integrate in x variable.

Q: 3. Find the area of the loop of the curve y? = 4x'(1-x)

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Q: Find the area outside r=1 and inside r=2cos(2Θ)

A: Use the following formulae, to obtain the result.…

Q: Find the area limited by the line x + y = 10, the axis OX and the ordinates of x = 2 and x = 8.

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Q: О к The area of the bounded region below is ec x2 C X²

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Q: The area of the shaded region: y-24 -1 (1.2) 2 3 5n

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Q: Find the area enclosed by the inner loop of r=6 +12cosθ.

A: First plot the graph of r=6+12cos(theta) Then indentify the limit by putting r=0 ,and integrate the…

Q: The area enclosed by the curves y = x and y = 3x – x? is %3D (a) 2/3 (b) 4/3 (c) 10/4 (d) 9/2 (e) 2…

A: I can attempt only first question according to guidelines