16) Let f(m)-0 be the auxiliary equation of f(D)y=0 with solution set equal to (-1,0,0,2), then f(D)y-0 is equal to a) (D¹ + D³-2D²)y=0 b) (D-D³-2D²) y = 0 e) (D¹-D + 2D² )y=0 d) (D+D³ +2D²)y=0

Q: Solve: (3x – 2xy+ 3y)dx = 4rydy (y +3x)(y – x)3 = Ca³ %3D O (y + 3x) (y – x) = Ca³ (y – 3x)(y + x)3…

A:

Q: A line 4x + y = 1 through the point A(2, −7) meets the line BC whose equation is 3x - 4y + 1 = 0 at…

A: Let the equation of BC be 3x-4y+1=0      ....(1) and the equation of AB be 4x+y-1=0         ....(2)…

Q: Solve:

A:

Q: Solve for (x, y, z): 2x-2y+z=10 x+y-4z = - 17 3x-y + 2z = 13 O (4, -2, 1) O (1, -2, 4) O (2, 4, -1)

A: We have,  2x-2y+z=10 , x + y - 4z = -17 , 3x - y +2z = 13

Q: Find the general solution of x²y" + 10xy + 8y = x² Use the variation of parameters.

A:

Q: solve  w''' - 4w'' - 25w' + 100w = 0 how many linear independent solution to the equation needed…

A: solve  w''' - 4w'' - 25w' + 100w = 0 how many linear independent solution to the equation needed to…

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A: We know that the product rules of the derivative d/dx(uv)=u*(dv)/(dx)+v*(du)/(dx)

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A: Q 1 Consider the given polynomial as fx=x3+3x2-x-3: f1=0 If f1=0 then, x=1x-1=0

Q: Determine general solution of: y(5) - 8y" = t² + 6t+4+et

A:

Q: Solve (D2+20D+200)y = 10 O y = e-10x (c₁sin10x + c₂cos10x) + 20 Oy=e-10x (c1sin10x + c₂cos10x) +…

A: Given

Q: A competitive firm's profit is given by T(x,.x2) = 95(4x2 + 6x}")- 4.75x, - 15x2. %3D The stationary…

A: To find stationary point of a function fx,y, we have to find fx and fy. Then we put fx=0 and fy=0.…

Q: 20) For the the function f(x) 5x-2, find f(4a+ 1) A) a-1 C) 9a-3 B) 20a - 1 E) 20a + 3 D) 9a – 1

A: Given that  f(x)=5x-2 Find f(4a+1)

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A: Given expression is as follows

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A:

Q: 13. In y = what is the derivative of 2x2 +3? x+1 a) 2x b) 4x c) 4x +3 d) 7

A:

Q: Find the solution of 4x²y" - 6x²y + y = 0, x > 0 of the form Y₁ = x¹(1+₁x + €₂x² + 3x³ + ...) Enter…

A:

Q: R= {(x,y) | X is the sister of y}

A: This is question of algebra Here set is given We have to find components of it Further calculation…

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A: To find the equation of the form

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

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Q: Q4) Find the linearization of: f(x) = x³ + 10 when a = -3

A: l(x)=f(a)+f'(a)

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A:

Q: f(x) = xª -4 and Perpendicular to the line x - 4y + 1= 0.

A:

Q: 2x +y-z=3 x- y+z=0 y+2z =1. Then x=

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A: We have to find a point from where the sum of square of its distances from 1,0 and -1,0 is smallest.

Q: What is the point of intersection of the two functions? 12) y--3x-23 -2r+4y-6 A) (-2, 3) C) (-3, 2)…

A:

Q: If 6x° +x*-y? 3x² +y? if (x, y) (0, 0) f(x, y)= if (x, y)= (0, 0) then f,(0, 0)=

A:

Q: If B = x°ya, + (2x + y)a, – (y – 2)a, find (a) V B (b) V X B (c) V (V B) (d) V x V X B

A: Given : B=x2yax +(2x2+y)ay - (y-z)az

Q: 3.) The total weekly revenue( in dollars) that Depot realizes in producing and selling its speaker…

A: