Q) Consider (Z12, +).Then (6) U (9) = %3D i. {0,6} شيء مما بالأعلى .ب Ĉ. {3) J. {0} o. {0,3,6,9}

Q: find extreme Value of function fex, y) = x°t 3xy?-3x²-3y=t7 1

A: Given:  fx,y=x3+3xy2-3x2-3y2+7 ⇒fx=3x2+3y2-6x, fy=6xy-6y To find extreme points put fy=0, fx=0…

Q: Find the following

A: Given, ∫5z+2dz To solve the above integration.

Q: = f(2y + 3)²√√y+2 dy

A: To solve the given integral

Q: dx (4-2²)° (뿌): O none of these 1/2 11/8

A:

Q: If 21 = (2, -1), z₂ = (6, 3), find 2₁ 22 - 22.

A:

Q: What is the coefficient of x2y" in (5x- y)°?

A:

Q: Q5) if z = 1./(3+x.^2+y.^2), where x and y = -3:0.1:3, could you plot x,y,z as shown below: 0.3 0.25…

A: Given: z=13+x2+y2where,x=-3,y=1.3   Now plot the given function.

Q: zdz + -dz. Izl=1 Z :Select one True False أخل اختياري

A:

Q: 2. f(х, у) 3 а? —гу + у? then ,is

A: Given: fx,y=x2-xy+y2   We know that; The sum/difference rule: f±g'=f'±g' The Power law; ddxxn=nxn-1…

Q: dy if y= 3x Find dx х2+1 3(1-х2) D) (x2+1)2 3x2-3 A) 3. 3 B) 2x C) (x2+ 1)2 х2 +1

A:

Q: Find the following products for P (7,0,2), q = (-2,2,-2), 7 = (0,2,-3) (F. P)a

A:

Q: 5. Prove that arg(z1zz) = argzi – argzz %3D

A: Introduction: For a complex number z=x+iy, where x is the real part and y is the imaginary part,…

Q: 4 (0) = 4l6)=3 Soluhon DE: Y= 64,-442

A:

Q: Let C z-1=3 and1 = §, = dz. Then

A: The solution is given as

Q: XI. 6 F dF where F = (x³ – y, x + e') and C is triangle with vertices (0,0), (3,0), (4,2).

A:

Q: dz If z = w", then is equal to: dw 7x7 w(1 – 49z8 In w) 7z'w7z²-1 7z8 w(1 – 49z7 In w)

A: topic - derivatives

Q: = Express by ¡y¡ in the terms of x variables where y; = C₁jx; and bicik = 8%.

A: express bijyiyj in the terms of x variables where yi=cijxj             ...i and bijcik=δik…

Q: Given u = (-2, 4) and = (1, 6), find 3(uw).

A: The vectors are given by u→ = -2, 4w→ = 1, 6 To evaluate: The value of 3u→·w→

Q: +: 1+ x² ]dx

A:

Q: (5)Find x if. i. e* = 3, ii. Inx = 2 iv. 32-x = 27, v. 8x+1 32. %3D

A:

Q: ...=AxB|^2| JĀ X B|? al . B= 2ī + 27 – 2K 3Ā = -i- 35 -k JS là

A:

Q: 2 (0² 20 0 Ans v=c₁ +c+.

A:

Q: 1 = 4y-24 ア-6 9.

A:

Q: a.) S dx/x²+4x+5 b.) S(cscx – tanx)²dx

A: topic - indefinite integral

Q: The relationship between x and y, where the purchase price of a good is x and the selling price is…

A:

Q: 6х —9 4.) dx 22— 3х +2

A:

Q: -dx. (3x² + 1)ª Evaluate -1 +C OA. 18(3x² + 1)³ O B, In(3x2 + 1)ª) +C 1 OC. + C 18(3x² + 1)³ x2 +C…

A: Given- ∫x3x2+14 To find- The value of the integral

Q: solve the D. y +8y" +16Y

A: We have to solve the differential equation.                                  y''''+8y''+16y=0 can…

Q: Determine the length of x = 3+ (y – 2)², 4<x< 19

A:

Q: Is the ordered pair (4, 7) a solution to which equation O 3x + 4y = 4 O 3x = -4y+ 4 O y = 3/4x + 4…

A:

Q: Find z,(-1,2) if z=In(5x°y²+2y*). Answer:

A: We can find the answer as below.

Q: Calculate the length of PQ where P = (-2,1,6) and Q = (-3,4, –1).

A: We will find the length of PQ→ in the following step

Q: uppose ū = (1, −3,−1) and v = (1, -5, -5). Then:

A:

Q: 3. (D5 –Dª – 2D³ +18D² –31D+15)y =0

A: Given differential equation is D5-D4-2D3+18D2-31D+15y = 0

Q: Find V · (V x F), if F(x, y, z) = 5e*?i+ 9xe"j – 6e²k. V · (V × F) =

A:

Q: Sx°e*dx =(_)-e* + c,

A: