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Q: Let D, ECC be starshaped w.r.t the same 2, E DnE. Show that DUE, DOE are starshaped.

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Q: 9.) Find the length of arc XW. * Y 85 Z 108° W XV = 24 meters %3D O 72 meters O 15 meters O 75…

A: Given circle is, Here XV is nothing but the diameter of length 24 meters ∠XZV = 180° Formula to…

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Q: Which of the following expressions represents the height of a right circular cone having a slant…

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Q: In AVWX, the measure of X=90°, WV = 65, XVW = 16, and VX = 63. What ratio represents the tangent of…

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Q: Find the length of the entire perimeter of the region inside r = 18 sin but outside r = 3.

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Q: 1. Given OQ, AC = x2-6, BC = x, CQ = 5, Find the area of OQ. %3D %3D B

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Q: Show that [(x- y) dx + (x – y)' dy] = 3ra" taken along the circle x +y =a° in C the counter…

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Q: carth quate intesly This Scole of earthquate intesity ramges fram This scole I to t ll

A: Modified Mercalli intensity scale

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Q: ze The value of the integral dz , where C is the circle z=2 traversed once in 2z -3 positive sense,…

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Q: Evaluate the double integral 1+ 4x² + 43²&A where D is the bottom half of the circle x? + y? = 16.…

A: In polar coordinates,                                   and

Q: Find the inde finte antegral Px3% +? dx ,3/2

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Q: to Aind the aren of the regron Vbe a lire megral R.

A: Given,           y=2x   and    y=x2

Q: is parallel to D. he distance between L and D is v26.

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Q: Use Green's theorem to evaluate -y dx + x dy, where C is the unit circle r? + y? = 1

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Q: 2. Find the area of the shaded sector. Use 3.14 for Tt. * 270° 12 in

A: The area of the shaded sector can be calculated by subtracting the area of the non-shaded sector…

Q: Evaluate tet? + y* + z* dv, where E is the portion of the unit ball x2 + y2 + z² s1 that lies in the…

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Q: Please evaluate (3y – ein(e) dx + (7x + Vy* + 1) dy, where C is the circle a? + y = 9. Hint: use…

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Q: Given: A ADE~a ABC; EC = BC; DE = 4; AC = 18 Find: BC %3D %3D

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Q: T (3x + 1)° 148° R

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Q: Please evaluate P (3y – esin(@)) dx + (7x + Vyª + 1) dy, - where C is the circle x2 + y? = 9. Hint:…

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Q: Q/D check if The feanction is Contrnous (2 eaisł find if The Cimił es (メリ/→& 0) mn (2 2. x" +3y…

A: (i) lim(x,y)→(0,0)x3yx6+y2 Let y=mx3. Then, lim(x,y)→(0,0)x3yx6+y2 becomes,…

Q: Find the length of the entire perimeter of the region inside r = 14 sin ở but outside r = 3.

A: The given curves are r=14sinθ and r=3. Find the intersection points as follows. 3=14sinθθ=sin-1314,…

Q: Find the tirst B secend dericatices %3D

A: y=7x55-x+8ex Differentiating with respect to x, we get dydx=ddx7x55-x+8ex=75·5x4-1+8ex…

Q: Q)= Einluate the interral f(tsinzdz, 3. where C:121=L, by two melheds and Campare the Yesult.

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Q: dy given the following Find dar 24sin(ry) dy da

A: The given equation whose derivative is to find is:

Q: 10. Find mAD (11r – 3) B (8x + 15) A %3D Measure of Arc AD =

A: Given: ∠ABD=11x-3° and ∠ACD=8x+15° The objective is to find the measure of Arc AD

Q: ind the longes PtaV + (In(z- 2) )y = 0. y(3) = 1 and y(3) = 0

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Q: 5. AB is a diameter of circle O and m AC=m DB D B. Given that ZAOC = (2x) ° and ZBOD = (x+24) °,…

A: We have, AB is diameter of the circle O and mAC⏜ = mDB⏜ ∠AOC = (2x)° and ∠BOD = x+24° To evaluate :…

Q: r cot VE-tan° V cosº /T VEsin JE dx

A: Given that: ∫cot3x-tan6x.cos6xx.sin3xdx

Q: 6. If AF = 23in find the length of arc EC and the area of that sector. %3D 87 148 F E D B.

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Q: dy : Find for y = cot (4 – 2²). da

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Q: Under a change of variables æ = u², y= v³ , the infinitesimal element of area dædy becomes 3u?u°dudv…

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Q: In the diagram below, JK is tangent to circle M. Answer the following. If MJ = 7, ML = 7, and LK =…

A: We have that the tangent and radius line at a point on the circle makes an angle of 900. So the…

Q: 3. In the diagram below, AB = BD = 5 and AD = 7. %3D %3D Is BD tangent to OC? Explain.

A: Given,      AB=BD=5 and AD =7 We need to explain is BD tangent to C?

Q: e²+y´ dydx, where D is the circular region inside the unit circle

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Q: A randon veniable is uaiform ly distabutzd over whit is its skew ? t's

A: The pdf of uniform distribution is as follows:

Q: 7. Which is closest to the perimeter of Figure RSTU S 234 OA 8+v26 О в. 18 OC. 20 O D. 8+2/26

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Q: Given a tuuo Varialle findio ulm,t) =_\ _ė K ù a contant 2 show that du kou Ž Evalnati S uln,t) dm

A: The given function is: u(x,t)=14πkte-x24kt

Q: T i poniS possible DIaW a VEHA dlagram that illustrates the situation described A=B Choose the…

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Q: Contre a Condles Can he en passis throue the Centr ie of Ci 3,2) tqunton Paclusion 67endling me 农…

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Q: What is the measure of BCD AB is tangent to C at point B AD is tangent to C at point D

A: Find angle BCD=?

Q: z2 dz, where c is a unit circle. 3) Evaluate C 4z-i

A: Given : ∫Cz24z-idz Here, C is a unit circle. we can write it as 14∫Cz2z-i4dz it has singularity at…

Q: 7. Evaluate sin(x² + y?)dxdy where R is the region inside the circle x² + y? = T.

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Q: Make canonical equations:

A: We need to make canonical equations of the following. For (a), Ellipse: b = 3, F(4√2, 0). So, c =…

Q: R T OS = (6y + 57) ft; 0Q = 9 ft %3D OT = ( ft; OR = (42 – x) ft %3D %3D

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Q: Which of the following formulas would find the lateral area of a right cone where ris the radius and…

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Q: Find the length to the nearest tenth. U UV = 12 %3D Y. V XY The length of XY is

A: Consider the given figure, where UV represnts the radius and XY is the chord of the circle.…