If u = x+y+ z 19 (x2+y2+ z2)2 show that x ди ди +y +z- ду - Әх ди == дz 0.

Q: d = V(22 – a1)° + (42 – Y1)² %3D - - (8, -3) and (-5, 6)

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Q: 6x2 + 23х — 9 -dx х3 + 2х2 — Зх

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Q: 7.Find of z = x3 + 5x2 y + 6 02z дхду

A: find ∂2z∂x∂y of z=x3+5x2y+6 formula: ∂xn∂x=nxn-1

Q: 1000, 1000 20 40 40 - * - - - 100 100 v2 2040 40 '2040 20 40 -GM • M3 - 2000 , 2000 60 1 15 '15 5 60…

A: Here we simplify the given system and then use elimination method to solve the system of equation.…

Q: (2x + 3) = 3y1 4 Select the correct response: O 2+ 12y3 2,2x + 3 3 3 Y 1 (2.x+3)3 o 12y°(2.x + 3)?

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Q: 3x* y+1

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Q: Simplify Зх + 2у — х + 4у -3х- 2у

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Q: Calculate B(5,2) if B (a,r) = 2ar+r^3

A: I have to calculate B(5,2) It is given that B(a,r) = 2ar+r3

Q: 2х -1 x² - x +1 X 2.

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Q: ifferentiate. 12) y = (x2 - 2x + 8) ex A) (x² + 4x + 6) ex C) (x²+6) ex 1 [ 2 ² + x + 1] x B) ex 3…

A: Given query is to find the derivative.

Q: Suppose [V] B₁ [V] B₂ = 7 1 3 -[-]-* *, - {{; } [³])} and B₂ - {[²][³])}; [ 2 ] = find B₂ = If B₁ =…

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Q: Find a counterexample in the following cases. 5. (P^Q⇒R)⇒(P⇒R)^(Q⇒R)

A: As per our guidelines,we are supposed to solve only first question. Kindly repost other question as…

Q: L4 for x2+1 고 on [-2,2]

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Q: * Let z1 = 2 + i and z2 = 5 + 2 i. Find 3 z1/ ( z1 - z2) - (12/ 10 ) - (3/10)i O (1/10 ) + ( 3/10) i…

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Q: 6y²dx- x(2x³ +y)dy = 0 a. x³yi = y#+ c b. x-3yi 2y+ c C. x³yi= yi+ c -y= 2y+ c d. x

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Q: Зт m m 2 (т - 3)x? +. 4 -5 = - 4myx т - - Y- 4

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Q: YA 7) 3 X+4 3 y>}x-1 2 432 -2 -1 -4 2 3 4 -2 -3 4 -5

A: The given inequality is: y≤-34x+4y>12x-1

Q: 하금 Find au du dx and 좀 하 dy (a) yuand u = x2 +2 dy (b) y = us and u = 4x2-x + 6

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Q: If web₁x-b₂y-b3z, w= where b₁,b2, b3 are constants and b² + b² + b = 1. Show that 8² w 8² w 8² w əx²…

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Q: h(z)=-z5+8z3-5z2-7z+35      differentiate

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Q: 2X where %3D %3D

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Q: splve 15. (12х — 7) - (5х — 12) 16. (5 — Зх) + (2х — 8)

A: 15.  Given a expression,

Q: 12 z² + \82c - 3

A: given function is solved with the help of differentiation rule i.e. Quotient rule (fg) = gf'-fg'g2…

Q: Does (Z11 , + , .) have subfields? In this case which subfields.

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Q: дz дz 45. Find and Әх ду at (-1, 1, -1): yey-x² +z² = -3z-y²³

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Q: simplfy у — Зу — 18 22. - 3y 21. 2y + 7y + 3 2x – x – 6x 23. 2x - 7x + 6 24. x' - 1

A: (21) Consider the provided expression, y2+yy2-1 Simplified the provided expression. Now,…

Q: Evaluate / Vx2x/x +1 dx: /2x/x + I dx: 3 (2x + 1) + C 중 금(2xi + 1)' + C + 1) + C 5 (2x3 + 1) +C

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Q: 6) y = 2x + lo 3x - 6y = 0

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Q: Rewrite 3x2 + 20x – 6 in the form (Зх — 1) х q(х) + r(a). 3x2 + 20x – 6 = (3x – 1) × ) +

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Q: (6y² - 3y-8y')-(3y - 2y-5y') Зу

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Q: Find of z = 2x° 5xy" + x¯ y dy2 -10ху + 3x? у? = -10y + 6xy²

A: To find ∂2z∂y2 of z = 2x3-5xy2+x2y3

Q: seA (D²-D-6)y(x) = xe sled a 1 1 *(5x + 2) - y,(x) = xe"(5x- 2) - y,x)= xe" (5x +2) -i 50 50 50

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Q: 2х + Зу? 5х + 4y? Zxуat(-3,2) %3

A: The given function is z=2x+3y25x+4y2 To find zxy firstly differentiate 'z' with respect to 'x' and…

Q: Find all points where fex)= |21x-131 fails be be differenbiadle

A: Given:- f(x) = |21x-13| To find:- All points where function non differentiable

Q: а. (1- 15 ) -1 x² b. 3 пx2 C. Зу 4х -8 d. 4(y-5) 3x-6

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Q: If x+y=5 and x^2+y^2=13 then x and y =??

A: We have two equations as :                                                        x+y=5…