(b) Suppose 2 5 1 2 4 6 0 А 3D| -1 -1 0 B -3 4 5 and C =|0 1 4 3 3 2 0 0 -3 compute tr( B' A' + 2C-10 – 5) |

Q: If y = u³ - 4 and u = 3x² + 10, find y' O 18x(3x² +10)² O 3x(6x² + 10)² O18(3x² +10)² 6x(3x² +10)² घ

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Q: 2x+5 Differentiate: y =

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Q: Show that 1 п-1 .. 1 X2 x5 п-1 x2 ... =II("; – 2;) i>j 1 n-1 .. •.

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Q: 4 find the difference quoitent of... f(x) = -√x-19

A: To find the difference quotient of the following function.fx=x-19

Q: x + 2x + 34 (* – 10)(x^ – 25)²(,² – 8) -

A: Step:-1 Partial Fractional:- The Partial fractional is a process of taking a rational expression and…

Q: 28. 2y (3)-y"-5y' - 2y = 0 29. y(3)+27y=0

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Q: Find what m equals given tyll-3kyloMyo the differential equation

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Q: 47. If S(2,y)=(2x-3yy', then f,= _ a) -15(2x-3y)" b) –10(2x-3y) c) 15(2x-3y) d) 10(2x-3y)

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Q: Solve the IVP, explicitly if possible. 3y x+9(-7)=1 (x– 7)* 8. y=(x+9)3 (x + 9|) yl = (x+9|)

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Q: Exercise 21 Simplify the following: (2x - 1)(x - 3x - 1) (3x + y}(9x² - 3xy + y) 2. 1. (x+2)(x² +…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: {In(æ² + xy+y³)} Find

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Q: If y = 3, then dy de 3x+2" |3|

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Q: a) 2y2/3-1/2 - 4y5/6 3/2 where A = = A(1 – B) √z and B =

A: 2y2/3 z-1/2 - 4y5/6 z3/2 =A( 1-B)/sqrt(z)Find A and B.

Q: The top and bottom margms Op a poster are are 8 cm and Hhe Side mary Ms'are each 6 cm if Hhe ae a of…

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Q: 12) x+(6x + 5)___dx √√x6 + x³ + 5 S

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Q: Мaximize 6x] - 2х2 + 9х3 + 300 2 subject to 2x1 - 6x2 хз <100 х + х2 + 9хз < 200

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Q: (a) A = [í 21 B = R s c= D= -2 -5. 4 = G ) B= = L, ) = 5[ -3 -5 (b) A = [; ) B =[ D = 5 -11. -5]

A: Givena)A=2112, B=-30-2-5 , C=-2-402, D=0000.b)A=1114, B=-3-50-11 ,C=19-110 , D=-55-20-25To find All…

Q: Suppose f(x, y, z) = xyz + 2xy + 2² · Compute the following values -(2,8₁16) - (-2,-8, 16) (1,-1,0)…

A: We have to find functional value.

Q: 2y4-6x3 +|1x=-37x-16 dx X3 - 3x2+5x-I5 2x

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Q: If x² + 2y +3z1 = x2 + 2y2 + 3z2 = x3 + 2y3 +3z3 =2, and x₂x3 +2y2y3 +3z2z3 = x3x1 +2y3v1 +3Z3Z1 =…

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Q: Show that |1 - (x, + x,) - (x, + x,) X,*z = (x, – ,) (x, – y2) (x2- ,)(x2 - 2) 1 -(), + x2) 1 - (y,+…

A: See the attachment

Q: 4- compute dw dw дх' ду at the point (-2,3) if w = (2x + 3y - 1) ²

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Q: x + 2y + 3z = 1 -3x – 2y – z = 2 Can be written as 4x + 4y + 4z = 3 3 -1 5 2 4 1 2 1 2 3 -1] | 1 0 1…

A: In given three equations, at first shift right hand side to left hand side then write it in form of…

Q: 2 2) x₁ = 3X₁ + X₂ ~ 12 t -4X₁+ 2X₂ + 12t ร 5 X₁ (0) = 0, X₂ (0) =6 0)

A: Given system is   x'1 = -3x1 +x2 - 12t-----(1)…

Q: 9. Find the general solution of (D² – 2D+ 1)y= 6e*. A) y= (c, +c,x)e* + 3e™* B) y= (c, +c,x+ 3x² )e*…

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Q: Q6 : find 1) j(1 – jv3)(v8 +j) 2) (1+j)(1– j/3)² 3) cos-1(2)

A: (1) j(1-j3)(8+j) Use the property (a+b)(c+d)=ac+ad+bc+bd in the expression (1-j3)(8+j) and…

Q: -5= =DS"S"?{(m-3)x²+³"(m - m x- ? y)'-4myx] dydx

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Q: 4) f(x²+2) lnx dx = a) (+x) Inx--x+c b) (+2x) inx--2x+c c) (x² + 2) lnx--2x+c d) None of the above

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Q: 2x1 + x₂ + x3 X₁-2x₂-3x3 = 1 3x₁ + 2x₂ + 4x3 = 5 (Ans. x₁ = 1, X₂=-3, X3 =2)

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Q: 3. Decompose and find constants x+4 а) x (х-2) x+2 b) x2+4x+3 2x2 +х-12 с) x (х+3)(х+2)

A: As per our guidelines, we are allowed to answer the first three subparts of the first question only…

Q: 42+2 312-5x Differentiate: y = O y = 12z-40z+12z-10 (3z2-5z) O y' = - 12z* – 40x³+12z–10 (3z2-5z) O…

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Q: 10) (42x-33)+ (7x + 7) Please write in Q(x)+r(x)/d(x) Form

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Q: 1. (а) 52x $* (b) 3' x 32 - 5 2. (a) k* x k? (b) m³ x m 3. (а) у к (-у") (b) -x (-)

A: Given: 1.(a)52×56  (b)33×332.(a)k4×k7   (b)m5×m9   3.(a)y2×(-y10)  (b)(-z3)×(-z4)

Q: 14. 15. 16. 17. (2c + 3d) − (-6d – 5c) - - (5x² + 6x − 9) - (x² − 3x +7) - (3y-6) -(8-9y)

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