Given: mAB = x Prove: mz1 = 180° - x A D Exercises 25, 26

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: (a) find a parametrization of the path C, and (b) evaluate (r? + y?) ds.

A: Here we have to find the Parameterization of path C, Counterclockwise around the circle x2+y2=1 from…

Q: e = 11rad %3D r= 2/5 Radius: Central angle: Length of the arc:

A: Consider

Q: What is the radius of the given contour C : |z + 7i| = 8 + 6, 0

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Q: Find the angle 0 E [0, between the planes 2x - y+z= 1 and x + z = -3. Lütfen birini seçin:…

A: Given that the two planes: P1:2x-y+z=1P2:x+z=-3Normal   are,Let,      n^1:    2i-j+k=1n^2:   i+k=-3

Q: Show Whát You KhOw: Properties POSSIBLE AC = 36 cm, and BC = 27 cm. A Verify that DE || AB- 20 cm C…

A: Solve the following

Q: Find the length of the secant XY in the following diagram if the radius is 6, XW= 9 and WY =XZ z а.…

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Q: Use the arc length formula, L = √√√1 + (f' (x))² dæ, to find the length of y = 2ª + 1 on [1, 5].…

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Q: The area of circle H is 90.25 cm2, The sector area contained by ZGHJ and GJ is 31.4m cm2. What is…

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Q: Suppose r(t) = (et cos t)i + (et sin t)j. Show that the angle between r and a never changes. What is…

A: Given information:

Q: 20. Find given that a) y = arctan ) simplifying your answer as much as possible, b) y = In(x'-3x? +…

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Q: ............ In the diagram below, QN = 6, OP = 12.5, and OQ = 10. Find the length of PM. Round your…

A: The objective of the question is determine the value of  PM in the given triangles.

Q: Find the length of the indicated portion of the trajectory. rt) = (e 'cos t) i + (e 'sin t) j +3e t…

A: Here I am attaching image so that you understand each and every step.

Q: Given: © 0 and P are externally tangent. OA = 8, PB = 2 Find: The length of common external tangent…

A: Given OA=8PB=2    using the formula AB= d2-R-r2wher d is distance between  O and P and R and r are…

Q: Integrate counterclockwise around the circle |z – 6i| = 3. z(z – li)? - NOTE: Enter the exact…

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Q: Find the length of one arch of the cycloid 2(t – sin(t)), y = 2(1 – cos(t). х

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Q: Q3/ If the adjusted interior angles for clockwise closed-loop traverse ABCD are below Interior angle…

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Q: The diagram shows an initial arm of length1 unit being rotated countercockwise about the origin to…

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Q: dx Evaluate LJv by using Trapezoidal rule (up to three 1 + x? decimal places). [Ch-4(B), Expl-2]

A: We have to evaluate ∫01 dx1+x2 by using Trapezoidal rule.

Q: Is AB a tangent to OC? 29 C 10 A Your answer: nt o Yes, AB is a tangent. No, AB is not a tangent.…

A: We have to check

Q: In the diagram below, tangent DA and secant DBC are drawn to circle 0 from external point D, such…

A: To determine: The angle ∠D and state. Given: The values are AC⏜≅BC⏜ and mBC⏜=152°. Concept used: The…

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

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

Q: МAT MAT = 150° %3D ZM = 78* %3D 150 78 Find the measure of ZH and ZT. degrees degrees T =

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Q: What is the radius of the given contour C : |z+ 6i| = 9+ 10, 0 < 0 < 2T ?

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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: V W C 55 ° X

A: Inscribed Angle : An inscribed angle in a circle is formed by two chords that have a common end…

Q: What is the radius of the given contour |z + 2i| = 8 + 7, 0 s 0 s 2n ?

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Q: TQ and TR are secants from Point T to Circle A as shown below. R 70% •4 34 T. If mQR = 70° and mSP =…

A: To Determine: what is m∠T? Given: we have a figure in which TQ=TR are secants from point T to circle…

Q: The ________ ________ is derived from the Pythagorean Theorem.

A: We know that, The distance formula is derived from the Pythagorean theorem.

Q: Find the length of the portion of the arc given by r(t) = (e 'cos t) i + (e 'sin t) j + 5e ' k, -In…

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Q: Let a = ci +jand b = 12i + 9j. Find cso that the angle between a and bis 6' Round your answers to…

A: Solve by dot product

Q: e* AY dy 'dy Ve? le?Y -16 ,2y

A: The given integrand is- ∫e4ye2y-16dy Substitute e2y-16=t to simplify the given integrand.…

Q: Use Green's theorem to evaluate $y – sinx)dx + cosx dy Where c the triangle of the adjoining figure…

A: Green`s Theorem:-  Green`s Theorem states that the line integral is equal to the double integral of…

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: A beam whose centre of gravity divides it into two portions, a and b, is placed inside a smooth…

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Q: Use one of the formulas in the equation A = f. x dy = £. -ydx = } Þc x dy – y dx to calculate the…

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Q: O is the centre. EO = /3 . OF = 2 and OE I DF. Calculate the length of DE. (b) %3D F. E V3 2]

A: From the given problem:   EO=3 ;OF=2  OE⊥DF.   As we know that perpendicular from the center of the…

Q: Find the length of the portion of the arc given by r(t) = (e 'cos t) i + (e 'sin t) j + 7e'k, -In 2…

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Q: R 2 S V 2715° 4.

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Q: For planes 2x+ y - z = 2 and 2x + 3y + 5z = = 4, Find the angle between these two planes arcsin A…

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Q: moves along iine ield x, y, z) = z?i + + 4 s' Theorem to finc

A: The work done is the line integral o the force along the given path C, W=∫CF.dr Apply Stokes…

Q: Blid E8ne thất iš čut up into 2 section 4 and B, such that section A is a cone similar to the…

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Q: W = C - sec?(3x) – V8 )dx. Evaluate W - 6х+9 *

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Q: Find the value(s) of a making i = 7ai – 33 parallel to w = a²i +63. -

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Q: b) c) 200 A 10 in Length of the arc AB = %3D Len Area of a sector = %3D

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Q: Approximate the value of =dx, using two and three points Gauss Quadrature Vx+ A

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Q: What is the radius of the given contour C : |z + 2i| = 7+ 4, 0 < 0 s 2n ?

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Q: What is the radius of the given contour C: |z+5i| = 7+7, 0<0< 2n

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Q: Given observations (xį, Yi), i = 1, … n, fit a quadratic sion model Yi = f (xi) + €i, where f(x) = a…

A: The polynomial equation that will fit is y = β0+β1x+β2x2+....+βrxr to the n pairs of observations…

Q: Find the are length of one turn of the helix, t=0 to t = 2r , given by 7(t) = (bcost, b sin t, V1 –…

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