dz 12. Evaluate 9z² – 25 A. In(32 + V9z* – 25 c. In(3z-V9z* – 25) + C В. In( 3z + /9z² – 25 ) + C D. 3z - V9z? – 25 )+C 3 3

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Q: Evaluate fSS, 5y²dV where E is the reqion below x + 3y + 6z = 9 in the first octant.

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A: Given,                     yk+1yk-2yk=-2                                (6.38)

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Q: Evaluate fff. 5y²dV where E is the reqion below x + 3y + 6z = 9 in E the first octant.

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Q: From (2) we get: 7h 1 (7g+7)n+1 - 2-(7g+6) (2 - N-(79+6) II ig+1)k-(a+1)t-q +1 h=0 k=1 7h 1…

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Q: 28x+4y+kz -10 -5x-8y-4z = -2 e must have, k +|

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Q: 6. Show that, for integer s, S. s! | x25+lexp(-ax²)dx =: 2a +1

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Q: 9b of sido s8 Into4 gnggit EGcops otivostnsliM If ((h IR>R such that h(x) =x-6) and (g R --63-70000R…

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Q: Evaluate , 5y²dV where E is the reqion below x + 3y + 6z = 9 in the first octant.

A: Given: In the first octant, evaluate∫∫∫E5y2dV , where E is the requirement below x + 3y + 6z = 9 .

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Q: -145 2. find least 0అ కావులి Sంఖనాుంది spcave Axz b A z] 1 -4 1 1 2. 2. enter xas a Coloumn ve

A: Given that, AX=b A=1-4010012-1121,   b=3134 The least square solution to the system AX=b is the…

Q: Evaluate fl. 5y²dV where E is the reqion below x + 3y + 6z = 9 in the first octant.

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Q: -3 2. Evaluate: V12-피 + z dar 0,

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Q: 1 If z = 2 V3 -i, then find ()*

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A: Given,      ∠1 is complementary to ∠M    and     ∠2 is complementary to ∠M  ⇒ m∠1 + m∠M = 90   and…

Q: 8a, 2+ 225n for n> 2 with initial conditions ao 7, a1 83 %3D

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Q: Prae that x4 -5x +3 is ineducible ouer Q

A: Given polynomial is f(x)= x^4 -5x^3 +3

Q: Evaluate f (22 -1)(z2+3z+2) O a. 구미z+11+ + 흡nz-1-mlz + 21 +C ㅇ b. 글mle+11 + 1 + 습nz-11+ 옮mlz+ 21 +C…

A: Solving the problem by finding the integration.

Q: В. a = lass)-(21-1) given that w= In(6x + 2y³ – 3z).

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Q: 3-Evaluate S Fdr where 2X Cisgiven by rT) = C 3+U-3t)jrék

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Q: Use the fact that 9(z) dz 65 to compute each of the following: g(y) dy = %3! | 9(z) dz 9(z) dz %3|…

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A: topic - application of derivatives

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Q: 2. Determine Var(Y) when Y 3X1 +2X2 with Var(X1) 1, Var(X2) 5, Cov(X, X2) 2, E X1} 3, аnd E{X} 4.

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Q: (8) If w = 5x² + 2y², x= -3s+t, and y = s – 4t. Find and Əw as

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Q: Prove indirectly: "V n E Z, 4 ł (n² – 2)."|

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Q: Simplify #28

A: The known fact is that

Q: 5x 60(x, +x,) 3 b) Y = In 60(x2 . 3,

A: The given differential equation:                                                 Y=ln5x1360(x2+x1)32…

Q: Thene m for Voritly functiom Mean Valne fex) 2. 3X -4 +S the

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Q: Employ a suitable c 2n² +3n diverge (a) V5+n² n=1

A: ∑n=1∞2n2+3n5+n5limn→∞an+1an= limn→∞2(n+1)2+3(n+1)5+(n+1)52n2+3n5+n5= limn→∞…

Q: 21. Find af and of if f(x,4)= 3x" +2xy+ Sy , x= 4v? + Bn", and u 2v-w? Vour %3D 4= 2v-w? Vour av…

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Q: Gives a farme of v2 to within 10-3 Gives a farme of v5 to within 10-2

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Q: 1 Use convolution theorem to evaluate L-1 (s²+9)²)

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Q: es lls ew zeiflucifiib ons einiseen stigesber Show that for neN, (2n)! ' (r!)² ((n −r)!)² - 7=0 2n -…

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Q: Compute Projsw given by |2 -1 – 2 and S is defined by 8 [2 – 12]+t[-1 – 13], s,t e R. x = s ||

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Q: Use Cramer's rule to solve for z. Зх — 4у + z %3D 3 2х + 3у = 8 5y + 8z = 11

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Q: 7. f(t)=3e" cosh (In 21) -2t in two ways.

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Q: Evaluate , 5y²dV where E is the reqion below x + 3y + 6z = 9 in the first octant. dxdydz dxdzdy…

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Q: 9.12 suppose; a 3. A. %3D bる 19. .bz .(3. olet (A) = 2.. assume that fhe de teminanf ef find this…

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Q: 4х +4y+23D24 2х — 4y +230 5х — 4у-52%3D 12 Q9:

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Q: 2r+1 if the values of x, y is O none O x-1,y32 O x-2,Y3D2 O x=2, y =1 223

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.