the equation uxx+4uxy+10uyy-2ux+42uy+2(x+y)=0 is reduced to canonical form by substitution  A) ξ=y-2x, η= x√6 B) ξ=5x, η=7y-2x C) ξ=x+y, η=x D) ξ=y-x, η=2y-x E) ξ=y2-x2, η=2y2-x2

Q: 6. Solve for x, XE C: a) x³-7x+6=0 b) 2x³ + x²-8x-4 = 0 c) 9z³-4z=0

A: As per the guidelines of bartleby First three question from multiple Parts is answered at a time,…

Q: ) ydx + zedy-y'dy=o

A:

Q: value of ∑n=1∞(6an+9bn) if ∑n=1∞an=8 and ∑n=1∞bn=2.

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Q: 6. Use Cramer's rule to solve: x - 4y +z = 6 4x -y + 2z = -1 2x + 2y3z = -20

A:

Q: Suppose the complex numbers x and y satisfy the following equations: xy - y² xy + 2x² = = 3 1 (A) 8…

A: Answer is D. 16

Q: b) Heron's Formula Area = √5(5-a)(s-b)(s-c), where s = 1/(a+b+c) prove using the following steps.

A:

Q: Oues: Solve:- min flx,,) = (x, - 1)*+ Cn3- 1)? Subrected to n, +22=4 X,ー-2 き6 Hint : Convert to…

A: Given that,minx1, x2fx1, x2=x1-12+x2-12Subjected tox1+x2=4x1-x2-2≥0The minimum of the given function…

Q: 19 · sin 0 = 5 -4 7t 7n 11n B) {", Ila, 6. 6.

A: Given that, -4 - 25 · sin θ = -19    5   - 25 · sin θ=-19    5 +4-25 · sinθ=-19+205sin θ=15·-52sin…

Q: 7) y = -3 sin x A) B) -21 -21 21 D) -2n - 2n -2n

A: Given: y=-3sin13x

Q: Find f. fy. f(1,5), and f,(-3,6) for the following equation. f(x,y)= (Type an exact answer, using…

A:

Q: Solve for x: a x 2 + b x- ct = 4tr + a x 2 O A) x = (47tr + ct) / b O B) x = 4tr + 2a x 2 - ct /b O…

A: we have to solve for xax2+bx-ct=4πr+ax2

Q: a) Solve y" thy=2e?+xsin2x

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: 3. Express 4xi + 5yi° + óxi* + 2yi* in simplest a + bi form.

A: Given z=4xi+5yi8+6xi3+2yi4 To express Z in a + bi Form:

Q: Give The 15T four non zero Term of Mhe Sentes aboufx= %3D

A:

Q: 4. If ā= 3i - 2j and b=-5i- j, express 3 a -b in terms of i and j.

A: This is a vector problem

Q: Given A= 3i-7j+5k, B = -i+7j-k, C = 4i-j+k. Find %3D (a) A-B+C (b) A×C×B

A: we have given vector A, B, C and we need to find (a) A-B+C and (b) A×B×C

Q: 4. What is the simplification of the following complex expression (i? = -1) 5-i 3+i

A: To simplify the given complex expression:- 5-i3-i

Q: SUppOrE THAt y VEIES DIRECTLY WITH X ANO y =9' WHEN X = 18 X HUIM WRITE A DIRECT RAATES. VAQMOW…

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Q: If å = 4i + 2j + 4k ,b = -2i + 4j – 3k and ĉ = 4i + 5j. If å + xb is perpendicular to ĉ then find x.

A: Solution:-

Q: Exponent Rules Simplify each expression completely, with positive exponents. 1) (5s³t-5)(-2st) 12x3…

A: Note: As per Bartleby policy, in a question with more than four parts, it is instructed to answer…

Q: S öz (vā - z°) dz =

A: indefinite integral

Q: (b) у — 2г tan-"(г) — In(1 + x?)

A:

Q: Evaluate by Algebraic Substitution: * 5. S/1+vz dz -(1-v5)(3VE – 2) +c b. (1+ v7)(3V7 + 2) + C 5(1 +…

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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT S e 2xdx +) Sex (2x) da 5x+3x x) my (20x+3) dx

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Q: Express the result in trigonometry and rectangular form (1 + 2i)4 44. (1 – 2i)?

A: