3.11. dz, a) y:|z + 2| = 1; (z -1- 3i)(z + 2) 6) 7:|z +1- 2i| = 3;

Q: 10 of 17 If y(t)+(t-r)y(r)dr=t, then y(t)= Su-nyndr3Dt,

A: Convolution Theorem: The Laplace Transform of the convolution of f(t) and g(t) is:…

Q: Show that for A symmetric inf. = Amin(A).

A:

Q: Suppose that X, Y C U. If Pr(X) = 0.3, Pr(Y) = 0.32, and Pr(X n Y) = 0.08, what is Pr(X' U Y)?

A: Given :  X , Y ⊆ U . P (X) = 0.3 , P (Y) = 0.32  and P(X∩Y) = 0.08 .  To find : P (X' ∪ Y) = ?   The…

Q: 11. If AMNP is reflected across the line y = 2, then translated using the rule (x + y) – (x – 8, y –…

A: given,

Q: af Find ar ar and ax' ay az 38 Ах, у, 2) x² + yZ + z? af ax ar ay af az

A:

Q: 4/ur grans funthon y"-Uy't3y = et

A:

Q: 5. Show that if x,y∈Z and 3|x^2+y^2 then          3|x or 3|y 6. Show that if c=sa+tb where c=(a,b),…

A: Please check that x=1,y=3, then x^2+y^2=10 does not divide by 3. So  must 3|x and 3|y instead of 3|x…

Q: 4 À =A, i + Ayj + Az kk and + Byj + Bzk prone ズx8 %3D Ax Ay Az B By Bz

A: Given, A=Axi+Ayj+Azk ; B=Bxi+Byj+Bzk, so the left-hand side is:…

Q: 1. Show that S, has the presentation (x, y|x² = y = (xy)² = 1). %3D

A: The symmetric group S3 is given as S3=I, 1 2, 1 3, 2 3, 1 2 3 1 3 2 where  I=123123, 1 2=123213, 1…

Q: Suppose that receiving stations​ X, Y, and Z are located on a coordinate plane at the points…

A: Given that receiving station x = (15,7)   ,  y = (-9 , -3) &   z = (-9 , 7)Now, let coordinate…

Q: 7. Solve the following first-order linear DE's. y' + (cotx)y = xcscx, ) = 1

A: As per our guidelines we are allowed to do 1 question at a time. Please post other questions next…

Q: Suppose that receiving stations​ X, Y, and Z are located on a coordinate plane at the points…

A: Given:X≡4,4Y≡-12,-4Z≡-6,9The epicenter of an earthquake is determined to be 5 units from X​, 13…

Q: Chapter 13, Section 13.6, Question 001 Find Duf at P. S(x, y) = 3(1 + xy); P(1,3); u = Enter the…

A:

Q: , where a, B,Y

A: Let f(x)=αx2+βx+γ be a function defined on the closed interval [a,b], where α,β,γ,a,b are real…

Q: What is u × w, assuming that w × u = 〈2, 2, 1〉?

A: Given,w×u=2,2,1 To find:u×w Solution: We know ,by property of cross product of two vectors (say,a…

Q: 3.5 30 21 Not drawn to scale. O SAS- Theorem O SA- Postulate O SSS- Theorem O AA- Theorem

A: There are 2 theorems for similiar triangles. SSS and AA theorem

Q: In the given figure, suppose M2TUV=(4x-8)° and mzTSV= (x+16)°. Show that mzTSV is hal of M TUV. * S…

A:

Q: 4. If X and Y are independent RVs, then O2+ ,(@) = ¢,(@) × ¢,(@)

A:

Q: If "|xsin x|dr = kT, then the value of k is equal to

A:

Q: 5. If Q = ((2q+ 3)% + e®)*, then dQ/đdq is: %3D

A:

Q: 8. Show that, for u, v E R³, ||u|| ||| = (u - v)² + ||u x v||².

A:

Q: 4.51 Verify that BIBD with the parameter a = 8, r = 8, k = 4, and b = 16 does not exist.

A:

Q: what is the averaage value of y=a/x on [1,b]?

A: First we have to find formula of average value.

Q: 7. If (x, y, 2) = 3xz³y – y?, find grad o at the point (1, -2, –1) Ans. - (16î + 9j + 4k)

A: The gradient of a scaler point function φ is obtained by applying the del operator ∇ to the scaler…

Q: 32. In APQR, mZP = 53°, PQ = 16, and QR = 10. Find mZQ.

A: As per given by the question,  There are given that  △PQR,m∠P=53°,PQ=16, andQR=10 Then find m∠Q. For…

Q: too x(Ju) - xt) e ot * the famer heansfarm ナR X( Jw) Sen %3D

A: Fourier transformation of a function x(t) will be X(t) and inverse Fourier transformation of…

Q: If SU = 11, what is VW? S. W

A:

Q: Suppose, X0- Binom(m,0)and 0~ Beta(a, B), then E(X) is equals to, a) maß b) aß ma c) d) me

A: Given: Suppose,  Xθ~Binom(m,θ) and θ~Beta(α,β)

Q: 4.2 ezt So 2(z – ni)3d%, with C : |z – 3i| = 1.

A:

Q: 5. Use De Moivre's Theorem to evaluate (1 – V3i)%.

A: Demoivre's Theorem

Q: A, Az, An are independert,2) PLiln)=r9)-1), where Bi is eitler Ai or Ai for izlityn in please proof…

A:

Q: (6) If w = f(u, v), where u = x + y and v = x – y, show that = 2 ди

A:

Q: 3. fualende Zdv, where, E- (nyE):0くn<l,o<y<1-n,oくまく1-1-

A: We have to evaluate the triple integral ∭E z dV where E is the region containing the set of points…

Q: 1. Do not use a theorem to find the ff. Z if yz? + z = 5xy – 1. %3D

A: In the multivariable function, if we have to find the partial derivative of one variable with…

Q: 4 1) B= |_1 matrisinin özdeğerlerini ve bu özdeğerlere karşılık gelen özvektörlerin bulunuz ve B…

A:

Q: Find the Duf of S(x,y,z) = 3xvy+4xz² from Po(2,1,1) to P(4,7,2) %3D

A:

Q: 14) Find mzYIJ if mZHIY = 28°, %3D MZYIJ = 139x + 1, and mZHIJ= 168x. %3D Y

A: Given : m∠HIY = 28°m ∠YIJ = 139x + 1m∠HIJ = 168x

Q: 3. If u= (x+y +z') , prove that +y

A:

Q: true or false without justify The sel { 1,2,t, 3,,4,+, csx, coss is mot Ti Bomded in (CToi], Ul6)…

A: True.

Q: 12) Given: MZRSU =91° show that MRST = 23° %3D 68° T.

A: Show that measures of angle RST= 23°.

Q: Then, we assume that Wn+1 - H Wn - u kin+1 kn 1 2 E Wn-p E Wn-p p=0 p=1 (6) Zn+1 - € Zn - E Vn+1 Vn…

A:

Q: Let S = {(x, y) :x² + (y – 1)² < 1} U {(3,0)}. %3D Is the origin an extreme point of conv S? Is the…

A:

Q: 10. If mZTSV= (6x + 17) and mSV = (15x + 13)', find mSUV. %3D T

A: A circle

Q: (6) If u, = x-Pa(x)Pn-1(x) dx, show that nu, + (n – 1)u,-1 = 2, | and hence evaluate u.

A: To get the desired result first we will the recurrence formula for pn(x). Then after simplification…

Q: In AJKL, JL is extended through point L to point M, MZLJK = (x + 9)°, mZJKL = (x - 2)°, and m/KLM =…

A: The exterior angle is equal to sum of two opposite interior angles. We will use this property to…

Q: 10- Prove that a.b3D la+bl2- la-bl? /4

A: Prove that a.b= la+bl²- la-bl²/4

Q: ф%3 ASin2лut $ = TUt dø, k " ø = 0 dr m U = ? +

A: