8l Aply ithe / Jesidues de eualuate Calular Cosnede It 20 (oS0+ a?

Q: 1. AB and AC are tangent to OP. Find AB. 4 3y +4 B 1ly

A: here we will find AB,

Q: 3). wh.ch of these condition ally Ca uvergent! Tuere may be more than 1 right answer. Odre arctan u…

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Q: If z= asen(xy)cos(xy), with a > 0, then the result of simplifying the expression: az əz *əx ây…

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Q: 2 sinºe cos³e de= 60 a O 120 b O 1 .c O 60 .d O 120

A: We have to solve given problem:

Q: Q2: Evaluate Seas cos²(y s) ds. إضافة ملف

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Q: 10. y = C, cos 4x + C2 sin 4x + C3xcos 4x + C4xsin x + C5; C, to C5 are arbitrary constants

A: Since their are 5 arbitrary constants so the differential Equations will be of order 5. We find the…

Q: 8. If fx) = cos (2x), findf '(). TC %3D a. b. c. 1 d. -1

A: The given function is f(x) = cos2(2x) Differentiate with respect to x using chain rule…

Q: Find asy mPtotes st the f ellowing cur Ves then g laph them. -メメロメーー

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Q: %3D 7. If mBC = (9x – 53)' and mCD = (2r + 45)", find mBAD. E

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Q: 2.1. Nhal 14. w far illu golf ball Arom the cuup at the canter? 3. Find the value of x. AB e AD au…

A: Hi! Thank you for the question As per the honor code, We’ll answer the first correct question since…

Q: 3 Find C at any time7 2l/min SIN SIO 6l /min 8 elmin C NI8 100 Pure waley

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Q: (b) Evaluate Vsin r cos" rdr=?

A: Using substitution sinx =u evaluate integral

Q: 0. gy c ube a losed Cont Conlainig he okigin it. Pycoue thal az 2.

A: I have used Cauchy integral formula

Q: Solve the dfferential equiation dy-pne™ + cosn

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Q: . Eualuati losh (12)d2 uhere. C di the Ciscube. lel=2

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Q: 9) 5olve For OLO<2M Cose+sin A =1 2.

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Q: みm 'cU24onba buimoll ut anos Give answers occurate to o tu100yら19 SONe the foilowing tigures 6.8=…

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Q: O! Find tue indefinite integrel by q meleing tue febstelion d=4 Sin o. 2 *7 16-x"

A: To determine: by substituting x = 4sinθ

Q: 15) Name the bes+ answerfor the reiation ship angiel and angie 7. Cal alternate interi or Co b)…

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Q: Find U from the differential equation and initial condition. I'm know the answer but I don't know…

A: To solve below initial value problem.

Q: 3. Evaluate by hand the following To (a) (cos nwot, cos mwot)= coS nwot cos mwot dt when m tn То (b)…

A: To calculate the given trigonometric integrals

Q: b. y = -In (12yx²) + sin(y)e312xy + e12yx4

A: Given:

Q: If u = e3x. du = 2 cos 2x dx then du = 3e* dx, v = sin 2x. Select one: True O False

A: Differentiate the equation u=e3x with respect to x.…

Q: 2- Find the solution of the diff. equ. dy ty Six dx

A: First Order differential equation :        Consider the differential equation…

Q: 2n Evaluate " Lo sin(x + y)dxdy O None of these O 1 O 7/5

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Q: iP fca)ex+s and gixjex?-3- find the folllowiny D Rc fext

A: a)         f(f(x))=f(x+5)           =x+5+5           =x+10

Q: 12 Deter mine the hunchon fbc) 13 conhintdeus at loe Birked 1S Pes) Conhinaus at oc =0?

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Q: dy Find ax if y cos (Tx) O 1) sin(x) 2) 3ncos2(Tx)sin(nx) 3) -37cos 2 (TY)sin(Tx)

A: we have to find

Q: (zev=) TY 3. revry az 4. ây (1,0.5) if z = eT+2y sin y

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Q: 7) [ysin x'dxdy ans:(cosl-1) 6.

A: We use change of order of integration method to solve the given integral. We change the order  dxdy…

Q: (6) Euter eio_ el" = Cos e +i Sino, whore i = J1. where i= JT,

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Q: By using Residue fined S 2+3 sin z(z-1)² dz, C:|2|=2? (6 €13) (4

A: See the details solution in below

Q: Evaluate: Je*cos(7e*)cos(4e*)dx. 1 @ sin(3e*) - sin(11e*) + C A 22 O cos(ae) - cos(1le") +c 22 1…

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Q: O Verify that yo cos Cas (zt) is a solution to y"- Sy=-9cos (2t) %3D (-00, a

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Q: 2ху 3. y' = -x?

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Q: which of the foliowing is a vaiid equ be us ed to Soiue for 2 ak di altan 40=x 60 60 bl Sin 4O= 40…

A: Given : A right triangle

Q: Evaluate S eas cos?(y s) ds. V2

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Q: Prove thet (1+ cose -isine)" +(l+ Cos e+isine)" = 2""cos (em). %3D Co."(을) COS

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Q: Nhat is Duf at P(1, 1) if f(x, y) = sin(x - y) and u=i-İ? 3 O 5 O 3 4 O 10 9

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Q: B. Let ulr,e) = r"sin(ne). Find 4 2n-2 +u -nr Ure or

A: Given

Q: J Ax) dx 11. 12. -3

A: 11) From 0 to 5 there is a trapezium and from 5 to 6 there is a triangle

Q: Sind Vhe General Solulion for Uhe eumlion dk2 xp

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Q: Solue the differeulial equalion dy +9-é^ Cosre zo yo) =0. 2. by csing milne's methad with h = 0.1.

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Q: 0, o° s 0 < 360°, given the follo Cos e = and 0 in QIII 2.

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Q: 2- Evaluite the Value of 4he next nteg Pation by using Ahe trapezodal rule ; Then Find the absoluto…

A: Given the integral                                   The trapezoid formula is given by where…

Q: Ⓒ'Evaluate Sot So Sox sing ²sin y dy dz dx tim of the

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Q: [2D+3 ID+1 11 [2D. D + 41 D+21 +40}={¯ cos

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Q: Evculucte the ntegre ree)dt where re =secttleH, tine TNt C 2

A: The given function is

Q: Find the solutions of the Following Diffevential Equuations 28) 5+zý -33 = lo sinh(2 t) 560) =Y y…

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Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.