11. Evaluate 2 dA, where D is the shaded part inside the semicircle of radius 2 in Figure 26. 2 FIGURE 26 y = V4 – x2.

Q: Evaluate the line integral [6. 6ayⓇ ds, where C is the right half of the circle x² + y² = 4.

A: To evaluate :   ∫C6xy6ds, where C is the right half of the circle x2+y2=4 Prerequisite : We can…

Q: Compute the line integral (Баллов: 2) Jo ds, Cis the right half of circle x2 + y 16 (counter…

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Q: Evaluate COS Z -dz , where C is the circle |z – 1| = 3. (Integrate counterclockwise around C.)

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Q: Let C be the circle of radius 3 given by r(t) = 3 cos ti + 3 sin tj, 0 st s 2n as shown in Figure…

A: .

Q: The speciat sotution to the equatio %3D ho A/y)=+X B/yo)=y - %3D d/other than that

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Q: The centroid of the half-ellipse-shaped-cross-sectional area shown is given by: 4 Ye 9 - 25m9-y² dy

A: Given half ellipse shaped cross section is:…

Q: Oct 13, ATIO ANYW.If m/T 37 and m/O = 55°, find mY. %3D %3D mZY be determined. Submit Anawer

A: Note: As per company guidelines we are supposed to solve only 1 question. So, kindly repost the…

Q: What does the arc length formula give for the length of the line y = x between x = 0 and x = a,…

A: line y = x between x = 0 and x = a

Q: 5.2 Compute I = e -dz, where C is the boundary of the square centred at the origin, with sides of…

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Q: Sketch and evaluate the reverse in tegral 9/x dy dz

A: Consider the provided integral,

Q: 4. Which would not be sufficient to prove AWXZ AWYX? C ZWXZ = LY WZ А WX XW YW WZ D WX WX XY XZ WX…

A: To show that the given two triangles are similar we need to show that the sides of the two triangles…

Q: B) Evaluate S Ln z dz around the circle | z| = 2 %3D

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Q: 5. Find the volume of liquid needed to fill a sphere of radius R to height h (Figure 18). R h…

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Q: Given show =5 how dy %3D

A: differentiate y with respect to x .

Q: If UV = 7, UX = 5, and XY is x + 3 find x. Assume that segments that appear tangent are tangent.…

A: Given : UV = 7UX = 5XY = x+3

Q: What is the ratio of the area to the perimeter of an ellipse 9x² + 25y² = 225? %3D O None of these O…

A: Topic:- geometry

Q: In Exercises 17-20, find the area of the shaded region in Figures 16-19.

A: Consider the following diagram:

Q: dz The value of the integral Jc 22+9 where c is the circle z - 3i| = 4 is %3D

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Q: 1. Integrate P (3)*dz, C: clockwise unit circle centered at (0, 0).

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Q: Compute the irertia móment by x ( Ix=Sy?JA) tor number off segment n=s hyte multple-trapezoidal…

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Q: 1. In Figure 2, diameter AB bisects CD at E. CE = 3x + 35 and ED = 6x + 2. Find x. Figure 2 A

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Q: 1. Find the area of the part of the planer+ 2u + 3z = 1 that lies inside the cylinder x2 + y? = 3.

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Q: Find the area of the sector of the disk of radius r = 13 and with arc length s = 15.

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Q: Problem 5. Compute the positively oriented contour integral e32 dz 2² + 4

A: ∫z=5 e3zz2+4Here we use residue and  solve this question

Q: 4. Given YZ tangent to oJ at point Y and m<WYZ = 104, %3D what is the measure of WXY?

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Q: From Rogawski ET 2e section 8.1, exercise 7. 3 Calculate the arc length of y = x 7 over the interva…

A: use arc length formula for finding it.

Q: # 4. Evaluate the line integral | (x +2x²y) ds, where C is the upper half of the unit circle x2 + y2…

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Q: 29. Area = %3D EF, FH, and HI are tangents. EI is a diameter. E 2ft.F J 8ft. H

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Q: We have e+y dA = n(e-2) where B is the interior of t radius 2 and centered at the origin. Select…

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Q: Given that u = arctan(xyzw), calculate dyðw"

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Q: Consider a χ2-curve with df = 16. Obtain the χ2-value that has area a. 0.025 to its left. b. 0.975…

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Q: 4.2. Calculate the arc length of the cardioid given by r = a(1 – cos 0) -

A: The cardioid is symmetrical in nature and ranges from θ=0 to θ=π as a half figure. We can also…

Q: Find the area inside the oval limaçon r = 6 + sin 0.

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Q: 2.7 Describe cll soilutions of Asso where A is the Yow ta the matirix meg Vse Y S, and/or t as in…

A: Given  A=1-6-50-2-100100-200001-7000000 Here, we have to solve Ax=0

Q: s being pumped into a spherical ballo nge of the radius when the radius reac

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Q: As shown in figure 5.111 to the right if the two small semicircle, each of radius 1 unit with…

A: For the given figure both small semi circles with center O' and O" are of the same radius, so their…

Q: Given a level suface 4x2y2 + 3xy = 5 with y = y(x). Find at the point (2, 4). Give your answer…

A: Given surface is: 4x2y2+3xy=5

Q: consider the curue desoribed by 2y"-x²_4y vevity that the foint (4-25 les on this o8 wrE andd find…

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Q: 1. Draw the curve r² = 2a? cos 20, a > 0 and calculate the area enclosed by this curv

A: This question is about application of integration in polar coordinates

Q: Prove that (x+) ) is the rolution on the dipporen tial equation y'+ y-e 9= C,e*+ C2x + Cg, y" - 4 y"…

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Q: s) Evaluate the line itegral ( +2y + 2)dy – dz, where C is the arc of parabola z = 2+ y". from (2,0)…

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Q: If the area of the triangle is 25 square meter, the centroid of the shaded area shown in figure (4)…

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Q: 13-Evaluate JJI zdV E where E lies between the spheres x2 + y? + z2 = 1and x2 + y? + z? = 4 in the…

A: The given integration is , Let, I=∫∫∫EzdV change the integral into spherical coordinates Put x=r…

Q: 1) (a) Evaluate |(2² – y°)dz +2rydy, along the circular C that is upper half-circle oriented…

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Q: Find dyldy and xz4 Sint, y² Scost, OCtca24 For which vakes Of t is Hhe cure concave puars? anguer n…

A: x=4sint  , y=5cost

Q: Show that the subtangent to y = x' at x = a is equal to a/3.

A: Definition used -                            Length of subtangent =ydxdy

Q: 10) Find the Area of the sector of the cirde Rand your an swer te nearest tenths 1 Substitute into…

A: Given : Radius (r) = 3 cm and angle (θ) = π/8

Q: Find the areas of the regions Inside the oval limaçon r = 4 + 2 cos θ

A: