10.4 EXERCISES 1-4 Find the area of the region that is bounded by the given curve and lies in the specified sector. 1. r = e 0/4, TT/2 0T 2. r cos 0, 00T/6 i6 us s 3. r= sin 0 + cos 0, 0 <0 < T 4. r 1/0, T 2 02T 6

Q: 4/ Find the area of the region enclosed between the curves y= cos 2x, y=0, x=TT/4, x= TT/2 ? ans/…

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Q: Consider the curve segments: $1: y = x from x =- to x = 2 and S2: y = Vxfrom 1 x =- to x = 4. 4. Set…

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Q: 22 Calculate the value of the integral over the following c curves, a) C:l2+1| =1 c) Cil2+il = 1.4…

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Q: Consider the curve segments: 1 S1: y = x from x = to x = 3 and %3D 3 1 S2: y = Va from x =to x = 9.…

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Q: 5) Evaluate the integral (e* - y) dx + (sin y + x)dy using Green's theorem where Cis bounded by y =…

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Q: Consider the curve segments: 1 $1: y = x from x = to x = 4 and 3 1 S2: y = Vxfrom x = -to x = 16.…

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Q: 2. Let R be the region inside the curve C :r=1+ cos 0 and to the right of the line l :r = 3 sec 0.…

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Q: 2. Find the length of the curve over the given region. (a) r = e", 0 € [0, 2], (b) r = 8+ 8 cos 0, 0…

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Q: Sketch the region enclosed by the given curves. y = 3D 4 cos(5x), у %3D4 —4 cos(5х), 0 < x < T/5

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Q: 3. Let R be the region below bounded by the parabola y = 4 - x² and the lines 3x - 2y + 3 = 0 and y…

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Q: integrate ƒ over the given region. ƒ(s, t) = e^s ln t over the region in the first quad-rant of the…

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Q: 1. Evaluate the integral |// cos (-) dV, where G is the solid defined by the G inequalities <y< , y…

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Q: Q2-A) Find only the limits of integration of the following: YA yA R. ty=2 ア= z dydz ( cos e sin 8)…

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Q: Find the area of the specified region. sec e Inside the dircle r 3 and to the right of the line r =…

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Q: у 3 1 + sin х, 0 <x< т/2 y

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