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Q: Based on one of the intercepted arc theorems, we can say [ Select ] are congruent because [ Select]…

A: The figure is If the angles are subtended by the same arc then theses angle are congruent

Q: Ez fand Pi) Pow = * in Tesm of Po, Pg

A: For a function fx, it is known that  fx=∑kAkPkx                        (i) Where Pk is the Legendre…

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A: Here function is given and we have to find equation of tangent at given point Note: as per guideline…

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Q: Are X and Y independent rv’s? Explain.

A: If two random variables, X and Y, are independent, they satisfy the following conditions. P(x|y) =…

Q: Use set buiela motañoo& oul rilles of Wogi Cal equivolences to Suow thied AnB = A UB.

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Q: Show tuat a fuinchon fiR?>Rlefined by 3ں۔x5 ,ie (xxy]#Cojo) f cary)e je xcy=o Is continuous at (o,e)

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Q: Given: YX - XZ, WX bisects ZYXZ prove: AWYX = AWZX

A: Given: Prove:

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: NOTEL Line Intagrel DAT OM 0 1. MAY A DA TAKP 1. Eva luate Fdr where Cis The hine Se Segment from…

A: According to our guidelines, we can answer only the first problem or the first three subparts of a…

Q: IF fla) =V3x, g(x)= and h(x)= 6x-)0 %3D %3D Lind for mula For the following a) g(hiecs) b) h

A: We need to find: (a)g(h(f(x))) (b)h(f(g(x))) (c)h(g(f(x)))

Q: Let TiPy =Mg4 and suppose that we knos clim CRange CT) = 3. Determine dim(Kercti)

A: Given linear transformation is T:P4->M34 and dim(Range(T)) = 3

Q: IF d (u,y) is one meter el, prove that on p(a,y) is also one meter on d (u,y) 1 +

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A: Given,              y''-y'=5ex-sin(2x)

Q: Consider a ladder sliding down a wall as in the figure.

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Q: an Prove that n! ell7. dz 2ni (Z)n+1 Where C is a circle 1Z| 3D1 %3!

A: We have to prove that ann!=12πi∫Ceazdzzn+1, where C is the circle z=1 Use theorem which is given…

Q: I if é osy =xe, fiel y' by, use Implicite di fferen ional ? %3D

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Q: Derive the frenet frame, curvature and torison o the binormal indicatrix of hypocycloid?

A: We need to Derive the fernet frame, curvature and torsion o the binormal indicatrix of hypocycloid.

Q: show that (2n+1) Pr= PA+t=PAt Use tege ndre palgnanicds the

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Q: 9. If QS bisects ZPQT, MZSQT = (8x – 25), %3D measure. S T R

A: Please refer the attached image for complete solution.

Q: Let a = arcos/a and tan/B)= whe B is n Quadrant N. Usng this mformatien, euduate the 25 Stataments…

A: Given, a = arccos(-7/25) then cosa = -7/25 tanB = -3/4             B is in fourth quadrant

Q: 3. After the side JK is extended and the compass point is on point L with a width beyond JK, what is…

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Q: Find a baxs for d (R', e'), the spece of R? to R>. 2 ee lineer tren sformations from

A: a linear transformation L : R2 -> R3 such that  S = {[ 1 -1 2] , [3 1 -1]} is a basis for range…

Q: which of the fotowing desrites eeion

A: To find the region bounded by the curve, y=x+2 and the lines y=0 and x=7

Q: the right hand side. con cot z + sin' # . eve a Stens:

A: To Determine: prove the trigonometric identity  Given: we have a trigonometric identity…

Q: we Know that leitIcİtles) + 2 RelciĞ) + 2 Rece.c) = ? where C ,cnd e: are camplex nymbers

A: Given c1+c22=c12+c22+2Rec1c¯2 Where c1, c2 are complex number. Also given that c3 is complex number…

Q: speeal Solthont of bhe eqtrotio

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Q: |A" |= |B |,implies that A=B" %3D ylgn ihi

A: Use the property of vector and their modulus.

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: a) Assume that y is a continvoudly differentichle fone b) Celculote tontseetdt + 3.

A: We have to solve these

Q: π If the area inside the cardioid r = 8 +8 cos 0 but outside the circle r = 5 cos 0 is A then what…

A: The area is:-

Q: hrat oR the aoos tickane frs fn Cars to leave dihe lot hin ve a Cheroles onaa Tod, reaprdiess of the…

A: here given, total 25 cars data car brand no. of cars Nissan 4 Toyota 6 mercedes 2…

Q: 6. After the side JK is extended, what is the next step in constructing the orthocenter in AJKL? K

A: After the side JK is extended next step is:-

Q: Which rec tor lield s are not conservative %3D O F(ay)= (3x² - 4 y 4y=-2x> r.

A: Note : As per authoring guidelines, when multiple subparts are posted, then only first three…

Q: キIND THE SOLUTIONS to THE DEFF ERENTIAL EQUATI ON y'= x? tyZ %3D メY

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Q: 20, Yu,t e Rt ond Yc eR Dimension (R) = ? %3D

A: This question is related to linear algebra topic dimension of vector space.

Q: use implici't differen tiatiom to brind dyldu at the pont (2,2) = 1+y" エ+Scu

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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: B) Evaluate fLn z dz around the circle | z| = 2

A: Ln z has singularity at z = 0. But we cannot use residue theorem as Ln z has non isolated…

Q: we eed to find for and poove feommulas and This question is based an Secosd and first Fibd of…

A: Let sn,k denote the singless stirling numbers of the first kind.  As we know that, Sn,n-2=143n-1n3.…

Q: Tis the midpoint of RV Prove: ARST ATUV

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Q: Use the trapezoidal rule with n = 2 to estimate - dz. Hint 1 Set Ar = -. The endpoints of the…

A: Trapezoidal Rule :         ∫ab f(x) dx ≈ ∆x2 f(x0) +2 fx1 + 2fx2+...+2fxn-1+fxn ; where ∆x = b-an.

Q: SR ⊥ RT, TU ⊥ US , ∠STR ≅ ∠TS PROVE: ∆TRS ≅ ∆SUT

A: Since SR⊥RT So, ∠TRS=90° Also as TU⊥US So, ∠SUT=90° ∠STR≅∠TSU (given)

Q: O Find tor foaunctric yuatrn yzl+2tan o, 1: 2rseco

A: y=1+2tan∅x=2+sec∅find d2yd∅2 Since multiple questions are asked, according to guidelines, I am…

Q: I| Name the mathe moticion aho is credidet sith Hhe cefine mand of the co When acopt of fundion.…

A: Peter Gustav Lejeune Dirichlet ( 1805-1859) was a German mathematician, a student of Gauss, was…

Q: Ô dlen proplical auolyir to alve Use Max

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Q: 10. If M2POQ = 19, m<ROQ = 31, and M²ROS = 15, what is mzPOS? %3D %3D %3D R

A: Solve the following problem

Q: If HO = NR. LH = LN and 20 = 4R, which triangle-congruence postulate guarantees that AHOP = ANRT.…

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