Let a = 8 and b = 9. Find m,n E Z such that am+bn =1.

Q: If z = e'x + y In(x), find z, and z, Zx Zy II

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Q: If f = xi + yj + zk, l7I = r,and i=, then show that grad () =

A: 1. Gradf=(dfdxi^ + dfdyj^ + dfdzk^ )      2.  dxndx = n xn-1 3. r = x2+ y2 +z2

Q: following (a) E(X) and E(Y) (b) Cov(X, Y) (c) Are X and Y independent? Justify your answer.

A: Solution

Q: If z = æe", then dz = (ev)dx + (aye) dy. Select one: OTrue OFalse

A: Thanks for the question :)And your upvote will be really appreciable ;)

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

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Q: Use substitutions to waite (In t)at, for seyo (1n ms of と in 0,9 € N, aE IR E IN, a E IR, a#0 where

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Q: Complete the proof that ZYXZ SUT. P Q R. U W Y

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Q: trength, S ot S: Kxy? where K x and y or the stron a beam 2

A: Given:- Strength (S) of the beam is given by  S=Kxy2

Q: for for w= rs ,Y=uV S=uーv, find and Jw

A: Given w=rsr2+s2, r=uv, s=u-2v To find  ∂w∂u and ∂w∂v By chain rule,…

Q: Given w = xysin(z²), x= s-t, y = s², z= t². Find ay

A: Explanation of the answer is as follows

Q: Given u(x, t) = t-²e¯, 2 , compute:

A: We can find the required answer as below.

Q: Let z= I= 2e", and y = 3 ln v. Find in terms of u and v.

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Q: Let w e H and suppose that (1+ i)w(1+ 2j) = 1+ k. nd w (your answer should be in the form a + bi +…

A: Given function is, 1+iω1+2j=1+k

Q: Let a e R" and let A = aaT. Show that xT Ax = (a" x)².

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Q: 2. Given: XW XY, HA I WY, KB 1 WY Prove: AHWA ~ AKYB. K Y.

A: Given data is : XW¯≅XY¯ Therefore ,  ∠XWY≅∠XYW∠XWY≅∠HWA∠XYW≅∠KYBTherefore,∠HWA≅∠KYB     .....1…

Q: The ODE M(z. v) dz + N(z. v) du = 0 is exact if and only if

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Q: AISO is isosceles with IS = IO. 22 = 2x+24, mZ3 = 6x– 52, %3D %3D nd mZ1. 1/ 3 bX 2 bx -52-180 S x-…

A: We have to solve the problem

Q: For x,y E [0,1], prove that xy(1-x-y)≤1/27

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Q: Let o e C (RN), heRN - {0}. For te IR', we set (x + th) – (x) (x) = 1- Show that E C (IRN).

A: Since, you have post multiple question. I am answering first one. Please post again for the rest…

Q: Show that the following relationships hold. a) (1+i)™sn[ = Sn+m[ ¯ Sm| b) än+1] = 1+ an] (m) (m), c)…

A: Considering the LHS (Left hand Side) : LHS=(1+i)mSn|¯ RHS=Sn+m|¯-Sm|¯ ( Right Hand Side)…

Q: Given that E(X) = 5, E(Y) = 8, E(X2) = 68, E(Y2) = 75 and rx,y = .35, find the followings. j. Find…

A: The correlation coefficient formula between two random variables X and Y is, rx,y = Cov(X,Y)/SxSy,…

Q: Let X ~ NB(r, p). Find M,(1). а. Use M,(t) to find E(X). Use M, (t) to find V(X). с. b.

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

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

A: Explained below...

Q: H.W: if w=√x2 + y2 + z2, x= erCose, yerSine, z=ee prove that aw/ar = e²r/w and aw/00 = e²0/w

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Q: en Gx) show that GCxx) = to is a t Slution to x y" + Cy')a = c

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Q: E Given: AC= BD D AE = DF ZA = ZD A Prove: ACAE= ABDF F

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Q: nd C such that AC=E

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Q: Suppose that a) b) f(x, y) = [15x²y; 0<x<y<1 0; otherwise. Compute E(X | y), Var(X) and Var(Y).…

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Q: Let z = e*y, where x = Vuv and y = . Find in terms of u and v.

A: Change the z in the terms of u and v and the differentiate.

Q: Let a,b E R with a # 0, b # 0. Prove that (ab)¯1 = a°1b´1. %3D

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Q: Find e² in the form of u + jv and le²| for z = 2 + 3nj

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Q: 6. Write.a.Ct).in. the farm..aaT.T+ a. N. a..r(t).=(tcost). .+ (tsint.) j.+t ..to.

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Q: a) Let Z = 7 – 13i, find: i) Im ) ii) (Re Z)?

A: Complex Numbers: The complex number is basically the combination of a real number and an imaginary…

Q: dæ is equivalent to Using the substitution u = x + 1 Vx + 1 1 -du 1/2 du du -1/2 du - 1) /u2

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

A: Given expression is

Q: For x, y E [0, 1], prove that 1 xy(1 – x – y) < 27

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Q: Let A and and A us si clar to B= M'AM cwhere M- then we finel he vala uf A follow : Find the value…

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Q: 1. Let s, =2+j8 md -, = 4+j36. Show that a. -1+- = -+- 1 -1- -2 -1 -2 = -1-2 -1 : b. C d. =2 ||

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Q: Let w = 4x? + y? + z? x = psinpcose y= psinpstno z = pcoso Find dw dw dw de ee de

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Q: (b) Let z = x + iy = re?". Find |z| and z² first in terms of x and y and then in terms of r and 0.…

A: Given:

Q: az az Q1/ a. Find and if z= (x² + y²) where x =r+ e*and ar as y=Ins

A: Solution: The objective is to find the partial derivatives of the given equation

Q: Derive pz, 192. sjt9z, Hz(t), ez, čr: directly , if X ~ U (0, w) with r = 20, n = 30, w = 100. %3D

A: Note: Hi there! Thank you for posting the question. As your question has more than 3 parts, we have…

Q: Given: ARST with right ZRST; mZR = 30° and ST = 6; T. N ZRST is trisected by SM and SN 30° Find: TN,…

A: In triangle RST, &lt;RST is trisect by SM and SN. Therefore, the angle ∠TSN=∠NSM=∠MSR=30∘ Then,…

Q: Let u = 2i−j+3k, v = 3i+j−k, and w = 3i+j+2k. Verify Equation (3).

A: Given- u=2i-j+3k,v=3i+j-k and w=3i+j+2k To verify- The equation u×v·w=u·v×w

Q: Let m e N and a, b e Z be such that (a, m) = 1 and (b, m) %3D = 1. Let h = 0m(a), k = 0m (b), and…

A: Let m∈ℕ and a, b∈ℤ be such that a, m=1 and b, m=1. Let h=oma, k=omb,  and  n=omab. We need to show…

Q: Given: BD 1 AB, BD I DE, BC = DC Prove: Z4 = ZE A B 3.

A: As per our guidelines I am solving only first question please resubmit other question.

Q: If C is given by x(t)=t,y(t)=t,0sts1, then S. | t?dt. xyds = Select one: True False

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Q: Find the bo coefficient using the data below. Aşağıdaki verilerden yararlanarak b0 katsayısını…

A: Correct answer is (D) 6.1