Show that (2, 4) and (4,8) are both points on y = z- 4x+16, but that (2, 4)+(2, 4) # (4, 8).

Q: -Salve. Linear.- Program by.using graiphic metheed miax-Z=4X+3X7 Sat. 6x,+4Xq€48. 4%2 8X2 8a X、ッ父セ2。

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Q: 9. If mZW = (5x + 1)' and m2Y = (13x - 37)', find mLY. %3D %3D X.

A: Given : m∠W = 5x+1°m∠Y = 13x-37°

Q: (B) let y = 3sin5x - 2cos5x show that ax y + 25y = 0

A: Given :y=3sin5x-2cos5x

Q: Find div(V), where V= (x²+y² + z²)¯²(-3x, -3y, –3z].

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Q: (-6, 4) and (2, 9) %3D AX : %3D Ay Slope = %3D AX

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Q: Solve graphically the dual of the LLP Minimise: z=4w, +6w, +5w,-wĄ Sub. to w; +w, 23 W;,W,W,Wq 20

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Q: ® y"+zy'+3y=27x

A: Question 1 is solved. Solving more questions are against the policy of bartalby.  Find roots using…

Q: If U = xz - x²2y + y²z², evaluate div grad U O2y + 2z²+2y² O -2y + 2z²-2y² O2y-2z²+2y² O2y + 2z²-2y²

A: I have given the answer in the next step. Hope you understand that

Q: Let x be the solution to the linear least square problem Ax b, where, 1 1 A = 1 2 3 [1 duel

A: According to the least square method , PART A As all the residuals are positive so the curve can be…

Q: Find the equation of the family of orthogonal trajectories of the system of parabolas y^2 = 2x + C

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Q: Find y' by implicit dif ferentiation for 2y³+4x² –y = x6 . 6x5- 8x y '=- 6y2 – 1 A 6r5 + 8x B 6y2– 1…

A: Given, 2y3+4x2-y =x6 We have to find y' by using the implicit differentiation.

Q: Prove that if you minimize the square of the distancefrom the origin to a point (x, y) subject to…

A: GIVEN Prove that if you minimize the square of the distancefrom the origin to a point (x, y) subject…

Q: (b) x' = -x – 3y + 2z + yz, y' = 3x – y – z + xz, z' = -2x + y – z + xy.

A: As per your query the solution of the part (b) has been done in detail in the following steps.

Q: . Show that y x2 2 (xyz)(x – y)(y – z)(z - x) N N

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Q: b) p(x) = x* – x³ – 6x² %3D y-axis 4+ 3+ 1-- X-axas 1 3. 4. -1 -1 -2 -2 -3 -4.

A: We have to draw the graph of px=x4-x3-6x2 Factorizing the curve:…

Q: Compute (T2 T)(x, y). T(x, y) (3x, 7y), T2(x, y) = (x-y, x + y)

A: We have to find T2 composition T1 .

Q: Find Vz or Vw. 39. w = In /x² + y² + z²

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Q: on of y" – 2y' + 2y =

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Q: 3 If z= then: (2x² + y² )² ' dz az + y- -4z he dz dz + y- 4% az dz + x- y- = 4z az az = -4z

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Q: Find the maximum and minimum of Q(x) = x² + x1x2 + 3x2x1 + x² subject to |||| = 2 along with the…

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Q: y + z = 6, x + 2y +3 nsistent, if λ is

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Q: Show that the equation x+y+z=4,2x+5y-2z=3,x+7y-7z=5 are not constant

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Q: Identify the new coordinates of (-4, 1) after a reflection across the y-axis. y 10- 8- 6- 4+ ((6, 1)…

A: Given  Coordinate (-4,1)

Q: If x < 0 and y > 0, determine the sign of the realnumber. xy2

A: Given that, x < 0 that is x is negative. y > 0 that is y is positive.

Q: 2. xy2 = 6 at point (6,1)

A: Follow the procedure given below.

Q: 2x-5y ≥10 y-axis 4 3 2 1 -54-3-2-1 1 2 3 4 5 6 6 5 N -3 -4 -5 -6 x-axis

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Q: 2,t-3P dt, then %3D 12

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Q: Find y' for x^4y^3−3x+2y=24 at the point (−2,1).

A: We have, x4y3−3x+2y=24 Using the chain rule of differentiation,…

Q: Find ƒxx ( x, y)  and ƒxy( x, y). ƒ(x, y) = -3x2y3 + x3y

A: Given that, fx,y=-3x2y3+x3y Then we get,…

Q: y = Vx+6 y = v-x² – 4x |

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Q: Find the eu. f line through the Pont (-2,3,4) and Parallel to e Planes: 2x +3y +42-5, 3X+4y+52 - 6…

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Q: Find the points of intersection of x = 4y and y = 4x. (ans.:(0,0),(16,64))

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Q: Solve graphically the dual of the LLP Minimise: z=4w; +6w,+5w,-W4 Sub. to w, +w, 23 W; +w, –w,2-2…

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Q: When X and Y are moving in the same direction the cross-products are likely to be

A: Cross Product :  It is a vector operation that acts on vectors in three dimensions and results in…

Q: *宗+> B. If z = show that x 3z %3D x+y

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Q: . Find the minimum value of C = 3x + 5y subject to %3D 4x +3y > 240 4x + y > 120 y > 0

A: 4x+3y≥240 divide both sides by 240 4x240+3y240≥240240 x60+y80≥1 compare this equation with the…

Q: Find the equation of a line perpendicular to 3x – 2y = 16 that passes through the point (9, 4). - Oy…

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Q: 1. уд y = 5x -x y=Vx+2 (4, 4) X= 2 y x x+1 y = 1 2.

A: "Since you have posted multiple figures, we will answer the  questions 1,2 and 3.  If you want…

Q: Find y' for x^2y^4−3x−3y=13 at the point (−1,2)

A: Given Data: Equation: x2y4-3x-3y=13 Point: x, y=-1, 2   Differentiate the above equation with…

Q: Find ø if (a) Vø = (y² – 2xyz³)i+ (3 + 2ry – x²z³)j+ (4z³ – 3x²yz²)k and ø(1, 1, -1) = 4. (b) Vý =…

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Q: And the ares of the Shaded veglon veglar y = 2x2 + x – 6 y = x² - 4 (2,4), -3 -1 -1- -2+ -3+ -5+ -7-…

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Q: 3 18. z= 19. y= Vx(x-1) 3x-1 20. y= 2x+1

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Q: Use the characteristics method to solve the problem U, +3yU, = 2U , U(x,1) = f(1+ x,)

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Q: Find the dual to the standard problem. Minimise Z = 3z, + 5x2 – 6x3 Subject to: 2r1 + 6r2 + 6z3 > 52…

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Q: Use Cramer's rule to solve for y. 5x + 4y + 4z = 39 4x +3y-2z 15 4х - 5y - 4z%3D -15 |

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Q: If x < 0 and y > 0, determine the sign of the realnumber. xy

A: Let x<0 and y>0

Q: Find fx ( x , y ) and fx ( 3 , -2 ) and fy ( -2 , 1 ) .  f ( x , y ) = 8xy + 4y4 + 8

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Q: Find the maxima and/or minima of f (x, y,z) = 2x2 + y2 + 3z2 subject to the constraint 2x - 3y - 4z…

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