#1 and #2, write a 2-column proof. Given: 5(2x - 8) = 30; Prove: x = 7 %3D 5C2x-8)3D30 Gioen

Q: z = 24245°, zą = 52e2i, z3 = 10 – 11.5i %3D %3D 6. Z1 – 22 – Z3

A: Given: z1=24∠45°, z2=52e2i, z3=10-11.5i Convert z1 and  z2 into rectangular form as follows.…

Q: Solve the following equation with master theorem  T(n) = 2T(n/2) + n2

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Q: Find a value ofr and a value ofs so that AB" = 0, where A = [1r 1]and B = [-2 2 s].

A: Given: A=1r1 and B=-22s. To find a value of r and s so that ABT=0. Solution: We have, A=1r1 and…

Q: Verify the following statements is false by finding a counterexample. √ x^2 + 16 = x + 4

A: Verify the following statements is false by finding a counterexample. √ x^2 + 16 = x + 4

Q: Given that Z2a = 1.38 %3D Find the value of a O 0.0419 0.1676 O 0.0838

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Q: 2. s - [GpAq)Ar] = a. 7 [(pV7 (qAr)) As] b. (pV7 (qAr)) As с. (pV (qAr)) d. None of these

A: The given question has been solved with explanation in step 2.

Q: Solve, z2 - 4z + 5 = 0 Given that z, = 3 + i, z2 = 4 – 3i, z3 = -1+ 2i and z4 = -2 – 5i, determine…

A: Given equation is, z2-4z+5=0 Now, z=4±16-4×52⇒z=4±-42⇒z=4±2i2=2±i So, the solutions are z=2+i, 2-i

Q: Solve the IVP, explicitly if possible. 3y x+9(-7)=1 (x– 7)* 8. y=(x+9)3 (x + 9|) yl = (x+9|)

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Q: 3+4i Given that =5 find

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Q: O Find A), IB1, AB, and 1AB Thin verify that |A||Bl = \A8]. %3D S 4 3 Li 68 B %3D 9 -2 )시 A B = | AB…

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Q: 3. a) Solve the following two equations. In(x – 2) – In(x + 3) = 1 4x-2 = 3x+3 i) ii) %3D

A: To solve the following two equations:

Q: Find the cofactor of the element a13- -2 -1 0 5 4 2 3 5 O A. 3 О В. 19 ОС. -3 O D. 14 3.

A: Given a square matrix, the cofactor of aij is denoted by Aij=(−1) ^(i+j)M where Mij s the minor of…

Q: (c) If f (2) = (2³ + 6) e'0-, 10z and f' (6i) = re®̟ then what is the value of r² ?

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Q: Solve the following B.V.P. utt %3D с 2ихx; { и(х, 0) 3D сos x - и (0) %3 0, и (2л) - 00<x<20 1, ut…

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Q: Which of the following statements are true? V-25 = -5 a. %3D b. (2+5i) + (3 + 4i) = 5 + 9i² 6i =-6…

A: Solve the equations

Q: Answer the following using Jacobi Method. Show complete solutions. 2.)  9x1 - 13x2 + 4x3 = 111…

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Q: The simplified form of Newton-Raphson formula to solve x5 = a is : 4x - a A) x4+1 = 5x 4x + a 5x -4x…

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Q: Solve the following; (a) e2-3z = 6 (b) In(2. + 5) = 4 2 dr %3D %3D

A: (a) Given equation is: e2-3x=6 To find the value of x.

Q: please show all your work step by step. Given a = 4i + 5j and b = 6i + 7j, express i and j in terms…

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Q: Decide R, its size, and its order of operation so that if you multiply X4x100 with R, it would give…

A: The detailed solution is as follows below:

Q: Which of the following is equivalent to the problem shown? In(2) where z = 10ei

A: To evaluate: lnz, where z=10eπi3. Let, z=x+iy. In polar form, z=reiθ+2nπi. Because, ez is parodic…

Q: 3.9FB, AF = 5.2 cm, and FD = 12 cm, 9. If EF = find BF. %3D %3D

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Q: XY ZA АВ

A: Given :- ABCD IS CONGRUENT TO WXYZ

Q: If A = *yzi – 2x² j + xz? k and B = 221 + yj – x° k, find za (AXB) at (1,0,–2). Ans. -41 - 8j

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Q: Find the value of zo so that dz = -2ri Izl=13 (z – z0) (z – 14i)

A: Given integral is ∫|z|=13z(z-z0)(z-14i)dz = -2πi   ---(1)

Q: Third D

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Q: When two resistors having resistances R1 ohms and 2' ohms are connected in parallel, their combined…

A: While finding partial derivative in multivariable function, if we have to find the partial…

Q: Solve the following problem, using the method of undetermined coefficients. у" — 2у' — Зу %3D 6 - -

A: To solve: y''-2y'-3y=6 using the method of undetermined coefficients.

Q: When two resistors having resistances R1 ohms and R2' ohms are connected in parallel, their combined…

A: It is given that, R=R1R2(R1+R2)   According to the definition of partial derivative, when we take…

Q: 1. Prove that C(n, r) = n!/r!(n – r)!

A: Since you have asked multiple questions we will solve the first question for you. If you want to be…

Q: Question x²+5x+4 If y(x) = In *), find y' (x).

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Q: The remainder when dividing z = 12+5i by w = 1+2i is

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Q: What is the solution of 22- 3z= 5+14i, %3D 2+3i Select one: O a. 2.6i O b. None of them Oc. 52-2.6i…

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Q: The value Of (1+1)8, is equal tO O 16 4 4i

A: 1)  f(z) = (x-y)2+ 2i (x+y)Here u = (x-y)2,  v = 2(x+y)ux = 2(x-y),   uy= -2(x-y)vx = 2,  vy = 2for…

Q: If AC = x + 11, and AB = 23 solve for x. %3D

A: Given that     AC= x+11  and AB= 23 We have to find the value of x.

Q: ABCD is a rectangle. A В 4 3 1 E 5 Given: mz1 = (4x – 28)° mz2 = (x + 12)° - Solve for x. m23…

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Q: The remainder when dividing z = 12+5i by w = 1+2i is * O 1+2i O 1 O None of the choices -

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Q: X+1 2x-1 C If AC = 15, find... %3D . Find the length of BC O 15 0 9 O 5 0 6

A: Given  AB = x+1, BC = 2x-1 and AC = 15. We have to find the length of BC¯.

Q: Suppose z-2z +x=5, What is the value of y ? | - 3 3 0 3i nim

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Q: Solve for v. 41 24v If there is more than one solution, separate them with commas. If there is no…

A: SOLUTION-

Q: Solve the followings: 1- if zl=2+3i, z2=-1+i and 23=3-2i, give an expression for zlz2 + (23).

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Q: EF = (6x – 4y, z – 4x, y – 8z), then V × F = 0.

A: Topic:- application of derivatives The given function is F=6x-4y,z-4x,y-8z To find the curl of the…

Q: 11. If AB = 8z + 5, CB = 10z – 1, and BD 1 AC, solve for z.

A: Given, AB=8x+5, CB=10x-1

Q: f(n) = 2f(n – 1) +n² for n > 1; f(0) = 1. %3D -

A: According to our company policy, I am supposed to answer only one question at a time. For the rest…

Q: Find all possible pairs of integers x, y so that 7x + 3y = 4. Then find which of these pairs makes…

A: Given:   7x+3y=4                        ........(1) We have to find all possible pairs of integers…

Q: Reduce the following equation into its canonical form and then solve it 3ur + 10ury + 3uyy = 0

A: To find - Reduce the following equation into its canonical form and then solve it  3uxx + 10uxy +…

Q: AC 8x-14 and EC = 2x+11. solve for z. %3D %3D B. D.

A: If AC=8x-14 and EC=2x+11, solve for x

Q: Q2: Write in indicial notation: a²¢ ¸ a?¢ ¸ a²p s = A? + Až + Až + + 2 %3D .2

A: S=A12+A22+A32 this can be written in indicial notation as: S=∑i=13Ai2

Q: Let Find in terms of x and y. x=1+3a+6a² +10a³+, |a|<1 y = 1+ 4b+10b² + 206³ +.., |b|<1…

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Q: . Given that z = 1 is a root, find the other two roots of 2z3 −z2 +3z−4=0

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