4. f(x) = -3 (x + 8)2 -20 a= b= C= h= k=

Q: 3 max z = -X1 + 3x2 s.t. X1 - x2 4 X1, X2 2 ()

A: LINEAR programming problem graphical method

Q: to d. 1 2/3 60% 4 61° °, mz2 = °, mz3 = %3D mz1 =

A:

Q: 4 The value of x that satisfies the equation 4. x+10 is 15 (1) -6 3 (3) 10 (2) 5 (4) 30

A: our objective is to find x

Q: An automobile manufacturer sells cars in America, Europe, and Asia, charging a different price in…

A: The number of cars manufactured in America, Europe and Asia are x , y and z The price functions for…

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: 4 (a) s(-) = -2x + -4x +3x (b) s(<) = 2x° + (c) s(2) = -2(x - 2) (*+ 4) %3D 2.

A:

Q: O ) -. x- -2 46. f(z) = 1/x. - -2 fe) = V3r + 1, x=0

A: Given: 44.  f(x)=x2,  x=−246.  f(x)=1x,  x=−248.  f(x)=3x+1,  x=0

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: - a°y°, show that fæy = fyx. 85 Problem - 24: Given f(x, y) =

A: Solve the following

Q: Determine L-1{F(s)} 2s+1 sF(s) + 3F(s) s2+2s+1

A:

Q: Max z = x1 + x2 s.t. 2x1 + x2 ≤ 20 x1 +3x2 ≤ 15 x2 ≤ 4 x1, x2 ≥ 0

A:

Q: 11. In the function y = 3x2 - 3, y is replaced by y and then y is replaced with y +2 ; the new…

A: Given:     Function y=3x2-3   Here y is replaced by 12y       substitute y=12y      12y=3x2-3…

Q: 5. Eliminate the arbitrary constants from the relation y = Ae* + Bxe²*.

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Q: 10 2. F (s) s2 +4s+4

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Q: The linear functions m(x) and n(x) are perpendicular to each other and intersect on the x-axis. If…

A: Two lines with slope m1 and m2 are perpendicular to each other if m1m2=-1 Given: m(x)=4x+48 Let the…

Q: (d) F(s) = - 1- e-s s2 +s - 2 (е) F(s) - s3 – 3s + 2

A: (-2 δ(t) + δ'(t) + δ''(t))/(s^3 - 3 s + 2) = (-2 δ(t))/(s^3 - 3 s + 2) + (δ'(t))/(s^3 - 3 s + 2) +…

Q: 5. Given that mz1 42°, mz2 = x2, mzC =D %3D K C E D

A:

Q: s+1 If F(s) = then s(s-3) ' %3D

A:

Q: (9) Does the equation r2 - 31y² = -45 have a solution? %3D in itegers please

A: The set of all (x,y) that satisfy an equation, y=f(x) are the solution of the equation.

Q: X, t Xx t 2 Xz531 2X, + X> t Xz Z22 Naximzed By: 233y,tax2tdxg

A:

Q: A business determines P(40) = 3000, %3D P'(x)0 where P(x) is the profit in thousands of dollars at a…

A:

Q: 10. Particular solution of y"-4y' + 8y = x³, when x = 0, y = 2, y' = 4

A: We have to find the particular solution of y''-4y'+8y=x3,  when x=0, y=2, y'=4.

Q: Зх — 4у + 23 (a) f(x, y, z) = '9 – x² – y² –. - V2t – 4 x² – y? - (b) g(x, y, t) : -

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Q: S (x,y.:)= 4x°y° -e°y* ++4y-x" +4y–x'6

A: It is partial derivative

Q: Тx + 37 + 2 + x + 14 – m sgn 1 %3D 3 4 |

A: Given: The equation  sgn1-x3+x+34+2+x4-m=1

Q: 8. 8 If , f(x-c)dx = 5 where c is a constant, then f (x)dx= -c

A:

Q: (10 – 6y + e-3=) dæ -3.z 2dy = 0 -

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

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

A: Solution set of inequality are following

Q: A manufacturer estimates that when x units of a particular commodity are sold domestically and y…

A: The profit function is given as: Px,y=x−3070+5x−4y+y−4080−6x+7yWhere x​​ units are sold…

Q: 4. Is (1,5) a solution of 3x-2y S-4

A: Let's find.

Q: 1. For h() = - 6t + 7, determine „-4) . [ 5 KUJ 2. For g(x) = 4 – 9x , determine gª(-3). [ 5 KU]

A: x in place of t

Q: 2s - 1 s2 - s -- 2' F(s) = s2 – 4 - 4 F(s) : (s2 + 4)2 1 F(s) = s2 + 3s + 2

A:

Q: 4. Solve S/² x + ²/2 y = − 3 y=x+2 using elimination method

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Q: 30 If g(y) - (v- 11y + 18) lly + 18)*, find g'(y) = 30(v - 1ly+18) ) 29 (2y – 11)

A:

Q: 3. What is the particular solution if y(1) = 0 • xy' = y+ (x² + y²) ||

A: Given:- xy' = y+(x2+y2)1/2 y(1) = 0  To find:- Particular solution of given differential equation

Q: If the nuts vendor has a fixed cost of $550 and every pack of nuts cost him $2.50 to produced. By…

A:

Q: 6 6 If f(x) dx = 33 and g(x) dx = 14, find | [3f(x) + 4g(x)] dx.

A: We know that, for a constant k, ∫k·fxdx=k∫fxdx        ⋯⋯1 We have, ∫06fxdx=33 and ∫06gxdx=14

Q: 4. Eliminate the arbitrary constant on the given equation: x + C1e2 + C2e-2

A: 4. The given equation is  y=x+C1e2x+C2e-2x

Q: 2. If y=x³e²x find y(n) and hence y(3). (v)

A: I am attaching image so that you understand each and every step.

Q: 14I hox)= x)-0, whese fCn=2 and fとい=8,

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Q: 30. The graph of y = x³ + 21x² – x + 1 is concave down for (a) x 7 (e) x 7.

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Q: 12. X and Y are two faucets which can fill a tank individually in 10 minutes and 20 minutes,…

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Q: X-3y+z--1 3x-y+2z-2 2x + 3y -z= 1 Eat Ax B A-B 3.

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Q: Suppose M = max{2x for x E [0, 4]}, then the value of M is

A: The objective of the question is determine the maximum value of M.

Q: 2. 2r +z +w 5 y -w = -1 3x -z - w = 0 4r +y + 2z +w = 9

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Q: Q1/ Apply the Range – Kutta Method to the initial value 23 problem y' 107 (-5x* + 216x² – 1296) if |…

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Q: /25-22-y2 zVx² + y? + z² dz dy dr

A:

Q: D’(D² – 4)y = 3x+ 2e¬3* | y = 3x + 2e¬3x m° – 5 - 4m³ = 0 ® m' (m2 – 4) = 3x+2e-3* D (D² - 4) = 0 3…

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Q: What is L[y] if y = u3(t) (t- 3)2? %3D L[y] = e3s . - 3 O Lly) = e3s. 2 L[y] = e-3s. 2 O Lly] = e-3s…

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Q: 7 If f(x, y) = (3x³ + 2y² – 30)', then fy is - given by :

A: