Appropriate form of particular solution of y(4) – y(3) = e3x +x is %3D (a) yp = Ae3x + Bx* + Cx³ + Dx2 + Ex + F (b) yp = Ae3x + Cx + D (c) yp = Ae3x + Bx + Cx3 (d) yp = Ae3x + Bx5 + Cx* + Dx3 (e) None of these

Q: Maximize z = 60x1 + 120x2 + 30x3, subject to 5x1 + 5x2 + 10x3 ≤ 1000 10x1 + 8x2 + 5x3 ≤ 2000 10x1 +…

A: The LPP is:Maximize z=60x1+120x2+30x3Subject to5x1+5x2+10x3≤100010x1+8x2+5x3≤200010x1+5x2≤500x1≥0,…

Q: For g (x) 2x^2+ 7x and h(x) = 4x - 1, g(h(x)) = x^2+= x+=

A:

Q: What equation is equivalent to * x² + y² – 8x + 2y = 8? %3D (x - 4)² + (y – 1)² = 25 (x – 1)2 + (y –…

A:

Q: 5(2) = 1 If then 2-3z f(r +h) = 1 23-3r2+hz² –3hz 1 12+2xh-3x-3h+h? I+h 12-3x 1 12-37-3h+h²

A: We use (a+b)2 = a2+2ab+b2

Q: y is initialized with 90 and multiplied by a factor of 4 each time x increases by 1 1. y = 90 + 4x.…

A: here option (4) is true

Q: Explain how to get y=kx+b from y=x, and how to get y=ax^{2}+bx+c from y=x^{2}

A: Transformation of the function  f(x)+b shift b units upward f(x)-b shift b units downward…

Q: P(X)=x^(3)-4x^(2)-8,P(2)

A: given that  p(x) = x3-4x2-8 then  P(2)=?

Q: Find (fo g)(x). f(x) = 5x - 2, g(x) = – x² + 4x -1 O-5x2 +20x - 7 %3D | -25x2 + 40x - 13 5x +20x -7…

A:

Q: (X+1)(X) 3D x2*-X +X-1 x2-1 2メー5 メー! メt1

A: Given:

Q: Be f(x) = 3x^2+7x-2, g(x) = 4x^2-x+1 and h(x) = x^3+x^2-2 determines:

A:

Q: 3x Vx - 25

A:

Q: If Var(X) = 5 and Var(Y)=10, then Var(3X-2Y) is

A: Given that Var(X)=5 Var(Y)=10 we have to find Var(3X-2Y) ?

Q: The virus DIVOC-91 has been infecting the residents of the Moniyan Empire. lowever, due to the…

A:

Q: 1. f(x)=-2x²+x-1 a) f(0) =-| %3D b) f(-1)=- c) f(-x)=-X- %3D d) - f(x) = | e) f(x+1)=-3 ) f(2x)= -…

A: 1.    fx=-2x2+x-1   a) On putting x=0                         f0=-202+0-1      =-1  b) On putting…

Q: Let f(2) = x² +1 and g(z) = z² - 1 Then (fo f)(z) -X (fo g)(x) (go )(x) : x*4-x^2+1 x*4+x^2-1 Note:…

A: Consider the following functions: fx=x2+1gx=x2-1 ffx=x2+12+1=x4+2x2+1+1=x4+2x2+2…

Q: If f (x) = 5x2 2a + 7 and g (a) = -2x2 + 6x + 3, then f (x) - g (x) = %3D

A: A function defines a relationship between two sets, where one set is dependent on other set. Any…

Q: y = 0, is: %3D The general solution of y +xy +9x-4 Oa C,(3x) + C,Y,(3x) Ob C,XJ,(3x) +C,xJ_2(3x) Oc…

A:

Q: (5) 4x1 + 6x2 = 8 3x12x2 = -7 x1 + 3x₂ = 5

A:

Q: refertoihe Furction (f. thXX f(x)%=X+10 D=DX hox-2xt7 Dox²+3X+n x2+3X+17 Oe-X2-x+3 40-X2-X十9 2.

A:

Q: One model for expenditures at high school gives the cosr C, in dollars per pupil, as a function of…

A: The quadratic equation, y=ax2+bx+c can be expressed in the vertex form as y=a(x-h)2+k, where, the…

Q: For matrix A = (4 6 3 5 ). If f(x) = x2 - 5, calculate f(A)?

A: The given matrix is, A=4635. The function is f(x)=x2-5. For matrix multiplication: The number of…

Q: f (x) = a? - 1, g (a) = 20- If d(x) 3, h (x) = 2x2 5x + 7, k (x) = v2x-6. %3D %3D %3D 22+87 %3D Find…

A: (h-g)(x)=h(x)-g(x)                 =(2x2-5x+7)-(2x-3)                 =2x2-7x+10

Q: Differentiate f(x) = //2x² 4х + 2 %3D - 02() x-1 2x2-4x+2 x-2 2 2x2-4x+2 x-1 2x2-4x+2 x-1 2 2…

A:

Q: (a) (b) (c) (d) 2x1 + 3x2 + x3 - 11x4 + 4x5 = 30 5x12x2 + 5x3 4x4+x5 = 36 ₁ - ₂ + 3x3 3x4 + 5x5 = 23…

A: Given: The system of equations,…

Q: x + 5X" + 4X - 3 dx (x² + 3x + 5) (x²+7X+12)

A: The given integral is ∫x6+5x4+4x-3x2+3x+5x2+7x+12dx.

Q: 2.

A:

Q: Describe the end behavior ofp(x)=7x^5+15x^4+16x^3-11x^2+9x+20

A:

Q: The sum of f(x)=9x^2+2x+8fx=9x2+2x+8 and g(x)=7x+4gx=7x+4 is?

A:

Q: (x8/5y1/2)7/8/x1/80y3/32

A: Given,             (x85y12)78x180y332

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.