O what t. ll members 4 the famihy f kuur fro - 1, mCr 13) members 2 what do all the famitly g linear fuchions I + m (x +3) have in Common ) several the family. Sketch

Q: Kis the midpoint of GI and FJ. Complete the proof that AGJK = AIHK. H G

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Q: A. State De Moivre's theorem and if z 7+ j4, find z using the theorem.

A: De Moivre's theorem states that: cosθ+isinθn=cosnθ+isinnθ for all integers n. Also, it extends to:…

Q: Let F(x, y) = x2 + x² + y2J- (a) Show that F. dr +| F. dr if C and C2 are the semicircular paths…

A: The function given to us is  F(x,y)=yx2+y2i-xx2+y2j

Q: Let T: c'Ca, b →Clab] be given by and let TiC°[a,b]→C la, b] be givern ky Tz Cf GA)=S"fCt) dt for…

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Q: M Given: Lis the midpoint of KN and MP Prove: AMKLE APNL K Statements Reasons 1. 1. 2. 2. 3. 3. 4.…

A: I am going to prove the congruence of triangles by using the given statement and property of…

Q: het c denate the tine segment nd z=1. Show that zp

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Q: Preview File Edit View Go Tools Window Help Adobe Scan Apr 05, 2021.pdf Mon Apr 5 2:30 AM Page 3 of…

A: In the given question we have find the orthonormal basis for the solution of the given system of…

Q: Suppese That z is guen in implicit form by the equation : X°y -yz?+ X = 16 enviroment %3D in an of…

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Q: ?, R(A)IN(A*)

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Q: langle of the edgen of a length of the bon's dingonhe ond z are Yedangahar bon, the Common Aruming…

A: Differentiate both the sides of the equation  s=x2+y2+z2  with respect to t and simplify to obtain…

Q: Q: Show that the functi on f:R →R given by f (x) = ax +b, where ab e R, a #0 is a bijection.

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Q: 2. Calculate the Fourler serles up to and Including the third harmonlc In terms of the secondary…

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Q: Cönsider the map part. Find all fixed nany different Bord Lis ergodic

A: Given: Consider the map T :  0, 1 → 0, 1 And Tx = 1x

Q: 5. Find the cubic spline g for the given data, f(-2) = f(-1) = f(1) f(2) 0, f(0) = 1, %3D ko = ka =…

A: Given f-2=f-1=f1=f2=0, f0=1, k0=k4=0

Q: 4) Use Green's Theorem to evaluate f √1+x³dx + 2xydy. C is the triangle with vertices (0,0), (1,0),…

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Q: 7.A= pVa +qVE +rVc ,B = Va Va-b b. If A=0 prove that, ap + bq + cr' = 3apqr where a be c. If a? = b'…

A: Given that  A=pa3+qb3+rc3 and  B=ab32+ba23 Solution a:…

Q: Find a relating ab and c Sothat the linear Systen X +2y- 2X +3 y +3Z = 6 5X +9y - 6Z = c eojarrar A…

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Q: Given that vec F =x^ 2 y hat i -(z^ 3 -3x) hat j +4y^ 2 hat k find the k- component of ( nabla* vec…

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Q: 4z2+4 Let C: |z+1|=4 and I = dz. Then z²-1 O None of these O I=-2ni O l=0 by Cauchy-Goursat Theorem…

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Q: If B,>3, then a measure of kurtosis is Leptokurtic Mesokurtic Platykurtic None of the above

A: In question, We'll discuss about measure of kurtosis.

Q: 4) Osig the inteecal de finiton, find the convo wto a gis diaM fug a of f(+)= cs 2+ 9C-) = e b)…

A: Given:

Q: 10. Point P is the centroid for AMNO. Calculate OP if OS = 36. Round to the nearest tenth if…

A: This question is related to triangles , We will solve it using given information.

Q: Points E, F, G, H, and J lie on 00. H a. mEF 2 and MEHF %3D b. Suppose JH = HG. theorem that…

A: given: E,F,G,H,J lie on OTo find:…

Q: 16. Obtain the toigonometric fouries seajes for A fit) > wt 277

A: The given image is of sine wave form. Here, period T=πand so, w0=2πT=2ππ=π

Q: 3. Find the constants bo, co, a1, b1, C₁ so that So(x)=1+ box + cox² + x³, S(x) = { S₁(x) = a₁ - 2x…

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Q: 1 Let W = Span{u} where u =-2.Let y = |1, find the distance from y to W %3D None of these O 2 /3 3…

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Q: Find the residues of each of the fellowing functièns at its. poles. e •f(z)- 22+3 4. ans : ri=7/4 ?…

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Q: OFind all Max. , Min, seddle Point for the fure tiens below: 3xy - 15 X +.

A: We need to find max. min. and saddle points of given function.

Q: graup Consider a dibedral 2. Du= carb: d=b-(ab)"%=D1> Discuss all passible Commulators 'and verify…

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Q: O consider A= 2 2 3 is A Diegnalizatle? if yes cateulate the dognal matrin D and invertible malyix P…

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Q: Compute the two Parbigls of each of the following funcbions 9 fcaxy) = J¢ + 3y b) Z = %3= Sin cacy)…

A: Note: As per our company guidelines we are supposed to answer ?️only first 3️⃣ sub-parts. Kindly…

Q: -3z²-3 Let C: |z – i| = 4 and I = . dz. Then z2-1 1=-2ti None of these O 1-2rti O 1=0 (without…

A: Given that: C:|z-i|=4 and I = ∮c-3z2-3z2-1dz

Q: -4z2-4 Let C: |z-1|=3 and I = $. dz. Then z2–1 |=-2nti |=0 (without applying Cauchy-Goursat Theorem)…

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Q: z? f(2) = 1-z* 4

A: We use the fact that the 1/(1-z)= 1+z+z2+z3+z4+......

Q: o Let ã = (5,-2,-2) and 5= (-3, -3,0) ニ Show there ane scalars s and t so that -> sá + tb = -…

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Q: 6. A cable for a su sp en si on bridge has the sh ape of a parabol a with eqation y = kx². Let h…

A: Solve the above problem.

Q: -4z2-4 Let C: |z-1|=3 and I = Pc 7?-1 dz. Then O I=2ni O I=4rti |=0 (without applying Cauchy-…

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Q: b- Let X₁, X2,... X (a) Find a comp (b) Find the UM

A: Solution:   (a):

Q: nozmal subgsoup H of ozder 4 of subquoup H of order 4 of Consieles dihedral poove that a Dy= Lasbi…

A: It is known that; Next, we show;

Q: The Canonical form of a hyperbolic PDE is F (ξ, η , u, ug , un ) %3D False True

A: To check the given statement is true or false. Given that the canonical form of a hyperbolic PDE is…

Q: Complex Analysis

A: For given function, First we will show the function is harmonic function as shown below :From the…

Q: QV A/ Find at (t-) as a funetion of t, if (x = t).(y= vE)

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Q: -3z2-3 Let C: |z – i| = 4 and I = f. dz. Then %3| z2-1 I=2ri |=0 by Cauchy-Goursat Theorem |=0…

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Q: 12 In the diagram below, GI is parallel to NT. and IN intersects GT at A. A G Prove: AGIA~ ATNA

A: Consider the given triangles, In this diagram GI∥NT and IN intersects GT in A.

Q: #04 Check thet the funetions 7,g and h are linearly dypendint oY independent 7 f(1)- é, g)=ë, kp-t…

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Q: %3D %3D In MIMI2 9.5. Ly=, Wq= F and L== au Find : Po =? and P,= ?

A: A/B/c Queueing System: A is the interarrival-time distribution. B is the service-time distribution.…

Q: Ouestion 01 f JeRla.b] and if hicx)-912) for finite mumber of Point except in [asb] then b. and…

A: Set ε> 0. Since g ∈ R[a,b],  there exists a partition P = {a=x0,x1,...,xn−1,xn = b} such thatU(P,…

Q: (NAS 4) Given, A = x²zî – 2y°z²j + æy?zk Find divAat the point (1, –1, 1)

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Q: Ginen ahad 2,=J3+Landza=1-J5 Express 21 and 22 in the podar form expsess the namber 1-iJ} aut u!…

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: