2s +10s F(s)=D (s²–2s +5)(s+1)

Q: How 2 Find the absalute maxima and minima for the funchion 3 2. f(x,y) 48xy -32 x-2u yen the…

A: since f(x, y) is a polynomial, it is continuous overthe given rectangular region D.So, f(x, y) has…

Q: 2s + 1 7. F(s) = %3D s2 - 2s + 2 1- 2s 9. F(s) %3D s2 + 4s +5

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Q: f (x, y) = 3x²: f (x, y) = x² + 3y²: f (x, y) = y – 2x?: f (x, y) = 5x² – 5y²:

A: The function f(x,y)=3x2  Level curves are made by fixing values of fx,y=k.…

Q: V121–a² r85-x²-y² 11 x dz dy dx -157+x²+y²

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Q: 2s a) F(s) s2 – 2° s + 3 b) F(s) = s2 + 2s + 4

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Q: (a) Y(s)-e-5s (85-3) s²+6s+12

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: v² =v² +2a(s-s) i. j. K = = kx² 2 k. T = 27 е g ,a = ,X = ,g =

A: This question can be solved using the concept of explicit function.

Q: 3 L cosh-t|= 4 .a 4s 4s2 – 9 - .b 4s 4s2 – 16 .C 9s 9s2 – 16 .d 16s 16s2 – 9

A: We have to solve given problem:

Q: Particular solution of y" - 5y' = x-2, when x = 0, y = 0, y = 2

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Q: (2siny + 1) = 4 and y(0) = what is x when y =n?

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Q: S² z²√√(-z² + 1)5 dz

A: To find the value of the given integral.

Q: y-y1=m(x-x1) y-(-1)=4/5(x-(-1)) y+1 = 4/5x + 4/5 y=

A: The given equation is y+1 = 4/5x+4/5      y = 4/5x+4/5-1         = 4/5x-1/5

Q: Coefficient Linear in Two Variables 2. (x-3y-7)kdx – (2x – 4y-8)dy=0

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Q: b) y =1+ f(z)=2x-2 O 1ks f-(z)=-1 O 2 34s (2)=2x-1

A: Step 1 Replace y with x and x with y  Step 2 Then solve for y in this equation  Step 3 Replace y…

Q: y'' - 6y' + 9y = x^-2(e^3x) using Methods of Variation of Parameters

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Q: f(s) -3s² – 5 %D S f(s) -2 -1

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Q: (w³ + wz² – z)dw + (z³ + w²z – w)dz = 0

A: Let us consider a differential equation  Mdx+Ndy=0  To check the equation is exact, determine…

Q: 8s – 3 F(s) s2 – 36

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Q: s³-2s²+5s-9 R(s) = %3D s2(s+3)(s+1) 3s+10 W (s) %3D s(s-8)(s-6)²

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Q: 7. Particular solution of (D³ + 12 D2 + 36 D)y = 0, when x = 0, y = 0, y' = 1, y" = -7

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Q: Apply the method of reduction of order (not itť's formula) to find the second solution if 6y"+ y'-y…

A: Write the given differential equation 6y''+y'-y=0 in standard form by dividing by 6 throughout.…

Q: GiNen Y+ 3y -22 こ4 what is the value of - - マ+ メと 2y +3z = -1 X +y tz?

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Q: 5r+1 (d) 16 - 2>0 (e) 2 4

A: Solution set of inequality are following

Q: lim a. y 2 - y 7 + 6y 4 V 5x² - 2 lim b. V 5 (x + 3)

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Q: 교고 + z-2 I+ -2, b) f(x) = I+2 -3, I = -2;

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Q: -x+y+2z = -3 3x- y+z = -2 2х- Зу- 42 %3D 1 X = y =

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Q: 1) e - 3 s2 -7 2) -la 2 (s – 3)5 7s 3) C-1 s2+4

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost other…

Q: у" +2y' + у %3 6 (t - 1) + e2t у (0) %3 0, у' (0) —0

A: The general form of a second-order nonhomogenous linear differential equation is given by…

Q: xyz 9. f(x, y, z) = x² + y2 + z2

A: Givenf(x,y,z)=xyzx2+y2+z2To find Domain of above functions

Q: Apply the method of reduction of order (not it's formula) to find the second solution if 6y "+ y'- y…

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Q: 3. F(s) 2(s – 1)e-25 s²+2s-2 2e-2s 4. F(s) s2–4

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Q: Evaluate L{(t²+ 4)e³t} 2(2s² – 12s + 19) а) 2(2s² - b) 12s + 19) (s + 3)2 (s – 3)2 (2s2 – 12s + 19)…

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Q: 5. (D5-11D4+19D³ + 115D² - 200D - 500)y = 0 Ans: y = C₂e-2x + C₂xe-2x + C₂e³x + C₂xe³x + С5x²e³x

A: To Solve: Solution of ODE

Q: s³ - 7s² +14s -9 23) F(s): = (s) (s-1)°(s – 2)' Ans. f(t) = te' -0.51'e %3D

A: Solution is given below:

Q: F(s) = 5s+3 6s 8 9- - (5s2 +4s+1) s2+7 9

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Q: 2. x'y-x'y 12 at (-1,2)

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Q: C(-4,0) andr = 3 (x – h)2 + (y - k)2 = r2 0 = 1 + + +A + zX

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Q: 3s 4) F (s) s2+2s-8 10-4s 5) F (s) (s-2)2 s+12 6) F (s) s2+4s ||

A: Inverse Laplace transform 1/(s-a) = e^(at)  Inverse Laplace transform 1/(s-a)^2 =t e^(at)

Q: L() tu(t-3) e6-3s ( 1 + (s+2} 3 s+2 e2-3« ( + ) o 1 (s+2} S+2 e-3+ ( +) o 1 (s+2} s+2 ( e-6-3s 1 3 +…

A: We will find out the required value.

Q: fo 뉴- 토욜 하블 4+0 X = 2 (-1,4] find MLE (0) GE | + 旦22 0 + ㅈㅈ =-2 7= 1 1

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Q: 2x+y-52 +l =. X-y+ 2-6= 0 4x+zy-32+8 =

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Q: an = Vn - Vn + 1 S1 S2 S3 S4 Sn II

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Q: 2s – 3 F(s) s2 + 2s + 10

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Q: 3s F(s) = s2 – s – 6 s - 6

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Q: P(-0.34<Z < 2.46) = (Using table E) %3D

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Q: + Vs + es +- ds n = 3 From left endpoint s² + 1

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Q: 9. Method of undetermined coefficients * y" -y = 3e*

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Q: 3/ r2-3r+4 V 2r2 –r–1 lim r→4

A: We need to evaluate the given expression.     limr→ 4r2-3r+42r2-r-13Plug in the value r=4=42-3·…

Q: Q.3// Find the optimal point from the mathematical model (by graphic methods): Max Z= 3x1 + 6x2 s.t.…

A: First We will Draw the Feasible region bounded by given constrain then by finding the value of the…