t DR) dende Dartine dövßes e te than show that Deo) X DR1) to DG20). o is atoxphic

Q: Given: LM NO; ZLMO = ZNOM Prove: LO NM ments Reasons

A: We have to Prove that LO congruent NM

Q: If f is Caib], ab solute maxinum continouus on then f attains valye fcc) and an ab solute mirinum an…

A: Que: Ans : Given         f(x) is any continews function on [a, b]          Let f(c)  be absolute…

Q: E valugte the cube raot of z when 2=27 Cis(210) ( Let 0s GS360°) Smallost ☺ ualus) targonst ualue).

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: Ex: © Suppise that the fiowing Aransferuntin Conneclğs the lei) and (ti) coordnate Syshems; a4ス?) 2…

A: Given that, ζ=x¯1=ex1+x2x¯2=ex1-x2 To find: a) Jacobian matrix J and J-1 b) Compute J¯

Q: evaluate the in! integ ral if u = 16+ ex then e* V T6tex dx = ( Jü cu=(ile %3D

A:

Q: O Ic ABCD is a diagonals thombus whese Cut at the origin O , then prove that OÃ't OB tO toD=0

A:

Q: Show that : sup {reQ:r<a} =a, for each a e R. %3D

A:

Q: Give the condition which ensure that Je-| < 1 where z E C.

A:

Q: Led xe R be such thad Xn→x, show that %3D

A:

Q: Which of the ing moion can be nduced to be asepehle gation y--1da + de = 0 Oa Ony Oh Orly Cc Orly…

A:

Q: Complete the proof that AUVX ATWX. U V T. W

A: Given:  WX=VX and UX=TX. In △UVX and △TWX WX=VX                  (Given) UX=TX…

Q: Find the fowien senies fon | X), -T<X <A

A:

Q: メ (myst メート→ Q(2,4) where: Path C くz rom ○)と to over the Evaluate the

A:

Q: F ind the oua gohenegion Aounded ky メ=y,メ=13-が 2 x=18-y (0,9) てっ (,) Une borizontal ilement to firid…

A: The area of the region can be calculated using the formula , where is the curve of the first…

Q: OVESTON Prove that A is inveitine if at0 and at b l Gind The pivos 9 A %3D a a

A:

Q: y Verify Euler's theorem for u = x' In

A:

Q: Find to the the equation du green funclion corresponding pula)=fex) conditions U(o) =0 with and…

A:

Q: . Show that z)= E kz is D: 1215 continuous io domain

A: The series can be shown as continuous in a domain if it converges. Therefore, the first calculate…

Q: .Use the De Moivre's Formula to show that if z = (cose + isine), then z" + ; ÷= 2cos (n8) and (금) 3…

A:

Q: E/Prove the foltowing Eoshtutv)= CoshucoshVt Sinhu Sinhk

A: To prove that cosh(u+v)=coshucoshv+sinhu sinhv

Q: dy If then de impossible to calculate O In(æ)

A: 7.  slope of tangent line  slope at point ( 4 ,2 )

Q: Show that if A is nonsingular and AB = O for an n × nmatrix B , then B = O .

A: We have given  matrix A is non singular and AB=0 for an n×n matrix  B. We have to prove that B=O

Q: A nermally distolated cndee erióbh with medn e has ė pabiblity dansty pabibiliy Ancty fnctin fris by

A: The normal distribution: A continuous random variable X is said to follow normal distribution if the…

Q: Consider a dihedral groop Dy=<agb: asb= (abj=1 Ds cuss all Dy and verify Subgooups of "Dy=…

A: See answer below.

Q: Prove that for Vr > 0, s > 0, √√r + √√5 ± √√r + s r, s

A: # As per the guidelines we are entitled to solve one question at a time please resubmit the other…

Q: Use Greens Theorem to evalute fyx² dx + x²dy as shown below Leh Half of (0,5) +y-25 (0,-5)

A:

Q: Given: ZB ZD Prove:A ABC -A EDC в Ma com A D

A: Explained below...

Q: lar, let m = 2 and n e of A and B such that

A:

Q: Fin d the sc cond soluhen prr tk edo te edo If Konow that y, =x IS a solotień

A: We will reduce the order of the given given second order homogeneous differential equation using the…

Q: In R', the point (1, 1, 1) does not belong to the cylinder x + y = 2. Select one: True O False

A: Given problem:- In R³, the point (1, 1, 1) does not belong to the cylinder x² + y² = 2.  True  False

Q: 1f itwas x25ect, yatunt prove Thut dy

A: Simple derivative

Q: Show that Z, dv=2010 %3D if B= 2) : -1 Śn s3, ISySY,e

A:

Q: dy then In z is If y = cosh z

A: Without wasting any time, any further, differentiate the RHS to get your answer.

Q: Let BE Cnxn. If z" Bz = 0 for all z E C, then show that B = 0.

A: Given expression is

Q: If (a + bx)e = x, prove that x’y, =(xy,-y)

A: Since you have asked multiple questions , we will solve first question for you. If you want any…

Q: Use the diagram to prove that ACAS ATAS. A T. Given: CS = ST and mzCAS mzTAS= 90 Prove: ACAS= ATAS

A: Given : CS ≅ STm∠CAS = m∠TAS = 90°

Q: Complete the proof that AWXY AWYX. Y W Statement Reason WX WY Given ZW ZW AWXY AWYX AAS ASA CPCTC…

A: see below the answer and explanation

Q: Show that (t As) can be derived from the premises pq, q→~r,r, pV (t As).

A:

Q: prove that tr(aA+bB)=atr(A)+btr(B)for any A,B belongs to Mmxn(F)

A: Let A=aij and traceA=trA=∑i=1maii.. Note that, aA+bB=aaij+bbij. Then,…

Q: Prove that (A = B) where (A = ax + ay + az) and (B = bx + by + bz)?

A: Given- A=ax+ay+az and B=bx+by+bz To Prove- That A=B

Q: O let T:R?→R² be a lineas tanafor- mation Such that T([:])- [ ]. T %3D Find matnie A Such that T(x)=…

A: Given that T:ℝ2→ℝ2 such thatT11=41  and T01=32 We have to find the matrix A such that Tx=Ax   ,…

Q: the following "quation sutisfied Cauchy - Rieman equation es .4 W = Z

A: The general form of a complex number is given by z=x+iy, where x,y are two real numbers and i=-1.…

Q: O Evaluate: | (In a + xe" + Vry) dy

A: Solution of the problem as follows

Q: a) Suppose that you wish to prove that ARST = ASRV. Using the reason Identity, name one pair of…

A: Given: We wish to have the triangle RST and triangle RSV to be congruent.

Q: Let 1 an(r) : u(reie)e ino de %3D Prove that:

A: .

Q: Prove Vr, y E Z, if ry is even and y is odd, then r+y is odd.

A:

Q: Prove that A Unitoy matylre U is Yemem bereel as Svuare Matsin whose colounn Vecto 8 have Cume theio…

A: The solution is in step 2

Q: Q3. Let z, y be real numbers such that ry 1 and z #y. Prove that

A:

Q: Given: ZR= ZZ C R CA= YA Prove: ACRA =AYZA Y

A: Use the congruent postulate and prove that both triangles are congruent.