24. in 6a 4R.2 29 26. 32 R.7 y X- yxy +R6 29. (V3 - Vi(V3+ 28.

Q: find ƒx , ƒy , and ƒz . ƒ(x, y, z) = 1 + xy2 - 2z2

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Q: 6 4 for f(x, y) 3 3x у" - 4x"у. 5 3 Verify that дх ду ду дх of 4 5 3 4 18y x - 20y°x dx 18x°y -…

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Q: (11) Evaluate [[3x+5y+i(x²-y') dz along y=x (0,0)

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Q: 2 X+y +Z=lo Gouss eleminahin 3 X+ 2Y4 32=18 X +uy+ 9Z= 16 ماركة العرض من قبال

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Q: 2.Evaluate . xy+ds where C is the right half of x2 + y? = 16

A: Integrate with use parametric form

Q: If it is known that L {y'' (t)} = -15s+24 with y(0) = -3 and y'(0) = 6, then it can be ensured that:

A: The given problem is to find the Laplace of y(t) from given info, given Laplace of y"(t) =-15s+24…

Q: 6. +4y> S 7. 15m+42s 8. pe-5 9. 52x+y 10. -zy-3r +S ame Cortesian anc

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Q: 18. X ve Y bağımsız r.d. ler olsunlar. E(X)=3, E(X²)=25, E(Y)=10, E(Y² )=164 ise Var(3X-Y- 8)=? a.…

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Q: 8z Find at (2, -2, 1) if By z' +y +z2 = 6xz +6yz +21 eej49 1.

A: Given x2+y2+z2=6xz+6yz+21

Q: 1. Find x, y, and z so that x + y 4x 2y -16 -- y 11 4 Z

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Q: 1. If (x and jy) = 3 + j8, find x and y. x = 2.40 and y = 1.67

A: According to policy we are allowed to do one question. Image is attached with solution.

Q: - r)rdrde 32(V2-1) 16(VZ-1) c. VZ-1) 4(VE-1), S(V2-1) a. d. 3. 3 3 e. 3.

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Q: 2 3 Compute fyz, if fx, y,2) = x² -x³y² -z'. %3D xyz» OA7 B. 5 OC.0 D. No one correct. O E. 6

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Q: for w = ze(zy²+2:). Do not include =" in your answer.

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Q: 8.) if z = x +jy, then Rez + Imz= (2+2) + ½/₂ (2-2²)

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Q: 8 15 Va 8 dx Evaluate 3 5 12 x 4 – In(x®)+12 x 3 + C, Where C is the parameter 5 - - 12 x 4 –…

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Q: Graph the functions in Exercises 39 to 56

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: f(x,y) %3D —4у3 — 4ху — 12у — 3х? - 5х- 21 then fyy equals O -6 -12y? - 4x – 12 — 4y — 6х — 5 - -24y…

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Q: 3. If f(x, y, z)= In xyz te(3.0²), find f,,f, and f-· 4

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Q: 4. (a) If y = A + Bx + Cx2 and yo, yı, y2 are the values of y corresponding to x = a, a + h, a + 2h…

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Q: 7. f (1, y) = z + y subject to z² – zy + y² = 1

A: Let h(x, y)=x2-xy+y2. Then we have ∇h(x, y) = (2x-y, 2y-x) and we also have ∇f(x, y)=(1, 1). Let the…

Q: 3. Show that S4 has the presentation (x, y|x* = y² = (xy) = 1). %3D

A: To show: S4 has the presentation x,y| x4=y2=(xy)3=1

Q: 9. If x2-xy + y2 = 3, find y' and y", %3D

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Q: .1//3 7earctan(y) dy + y? 3

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Q: 3. If 4=(x+2y+az,bx– 3y-z,4x+cy +2=) is irrotational. Find constant a,b,c.

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Q: 9. If y = V-|x|, then Dr = %3D %3D

A: Df :  Domain of function f  The set of all input values where f defined

Q: 3. (z, y)(1.5x, 1.5y) A' will be located at ( B' will be located at ( C' will be located at (

A: We have given the scalar factor i.e . (x,y)=(1.5x,1.5y)

Q: 1. v20x*y 6. V121x*y* = 2. V147a'b5 7. V625u1ºv16 15 11 3. 320p°q" 8. V224pq" 9. V27w²z° 13 4. V7…

A: Authoring guidelines:…

Q: B) fometie w= xty+y2-23, x²ry*+2?=6

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

Q: What value of c will satisfy y(x) = c(1 – x²) given y(0) = 1? 2 O Option 1 Option 2 3 Ontion 3…

A: Let's find.

Q: B/ If Ø = (x³y²z) and A = 2xzi - 3y2j+ 3xy²k Find a(A) at ду дх the point (2, -1, 3)?

A: When partial derivative is done with respect a specific variable, then other variables are treated…

Q: 3 4 If f(x, y) = x3 + 5x?y + y3 and u = calculate Du?f(3, 1). 5' 5

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Q: :Max z=6x + 8y subject to x +y 0, y=0.

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Q: 3. If V = (3r'y-1,x2'+y',-2r:"). Find grad divl at the points (2,-1,0).

A: We have to find grad(divV ) at (2,-1,0) where  V = (3x2y-z,xz3+y4,-2x3z2)

Q: 4. The line 3x + 2y – 10 = 0 is perpendicular to Ax + By + 1 = 0. Find the possible values of A and…

A: Consider the set of simultaneous equations, 3x+2y-10=0………(1)Ax+By+1=0…………(2) Let m1 be the slope of…

Q: 19. Given that 20t8=3and that ö n .... auto sece t wsece Sın`9 tos g

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Q: 3. Obt nin the parh cular folu tion 9. xdx - ydx + 3x dy +ydy = 0 ; wun x - 5,4= -:

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: (,² + 4y² )0.5_x = se!y =r!0in(r) find Ou 2 0.5 when s= 2, r = 4,t = -3

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Q: j. Min Z = 12x, + 8x, subject to: 4x, + 2x, 2 24 2x, + 2x, 2 10 2x, < 8 X,, X2 20

A: To solve the Linear programming problem using the graphical method  Consider the constraints as…

Q: 2 dt t² +2t +3 18. Evaluate 8 dz z² +8z+ 25 20. Evaluate o

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Q: e-", if 0 3,

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Q: 3. Find and at (0,0) where if (r, y) # (0,0) if (z, y) = (0,0) f(1, y) = Are they equal?

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Q: Suppose T(x,y) = (2x, 2y) and U(x,y) = (x, -y). Is T∘U=U∘T?  Justify your answer.

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Q: Suppose that z = f(x,y), find for 4 x²z* – 5yz³ + xy? - 3z? = x

A: Given: 4x2z4−5yz3+xy2−3z2=xz=f(x,y)∂z∂x=?

Q: 3 9-r22 1 dy dz dr 9-r2 0_æ²_22 (x² + y² + z²)1/2

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Q: 2/3 If y = xl/3 + 2 dy then |z */0 =-8 dr

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Q: A- If y = e3x and y = e-3x , prove that: - d²y - 9y = 0 - dx2

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Q: 3/2 Evaluate fLS10e(=²+y²+z²)"² dV over B where B= {(x,y, z) : x² + y² + z² < 1}. Take T = 3.

A: We can use spherical coordinate to solve it easily.

Q: 7. x + 3y + 522 = 173.61, x - 27y + 2z = 71.31, 41x - 2y + 3z = 65.46. Start with x = 1, y = - 1, z…

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Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.