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

Q: find the general solution of (y-zx)p+(x+yz)q=x2+y2

A: We have to solve the given partial differential equation.

Q: If Fx) is an antiderivative of x2 +x1, then what is the value of F(1) - F(-1)? 3

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Q: Find the general solution of (y-zx)p +(x+yz)q=x2+y2

A: we have to find the general solution

Q: 3. Find f'(x) for f(x) = v5 + e2x xe2x-1 А. V5+e2x 1 2v2e2x С. 5+ e2x e2x D. V5+e2x V5+e2x B.

A: In this question, concept of chain differentiation is used in this question.

Q: find the general solution of (y-zx)p+(x+yz)q=x2 +y2

A: We have to find the general solution of given partial differential equation.

Q: dy X -2= y² - 3y dx

A: We use variable separable method to solve the given differential equation.

Q: (D² + D)y =x+| ;

A:

Q: c) f(x) = 3x – 2 5 3メー2 51

A:

Q: Find the particular solution determined by the initial condition. f'(x) = 3x2/3 - 4x3; f(1) = - 8…

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Q: Find the general solution for: y'' - 4y' - 5y = -6xe(-x)

A: We need to find the general solution for y'' - 4y' - 5y = -6xe(-x). ---------(1)Idea: First, we will…

Q: Consider (D3 + 3D² + 2D)y = 3x2 + 5x + 9. Using method of coefficients, what is y A y = 6x – x2 + 2…

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Q: Find the solution of the D.E. below: 2(2x² + y*)«x – xycdy = 0 ... x* = c (4x²+y²) x* = c(x?+ 4y?) B…

A:

Q: Find the general and particular solution of the y"=3e³x if f(2)= k and f'(2)=k²

A: y"=3e³x if f(2)= k and f'(2)=k²

Q: If f(x)%3D3X2 4x+2, wha a. -7 b. 0 С. 7 d. -1 e. 1

A: Given:fx=3x2-2 and gx=4x+2f+g-1=

Q: Obtain the general solution. (D4 – D³ – 3D2 + D+2)y=0 O y= Ce* + C2e2x+ e¬*(C3+ Cax) O y= Ce-*+…

A: Solution is given as below:

Q: 2x1-x-4x₁x₂ = 0 -x + 2x3-4x₁x₂ +10x₁ = 5

A: We need to solve the following system of equations using a numerical method.…

Q: The general solution of (D³+4D)y=0 is Ay=e*(c₁cos2x+c₂sin2x) B y=c₁+c₂cos2x+c3sin2x Ⓒy=c₁еx+c₂e²x +…

A:

Q: Find the general solution of (D3 – 2D2 + D)y = x

A: (D3-2D2+D)y=xlet D3-2D2+D =0D(D2-2D+1)=0D(D-1)2=0 D=0 or D=1,1Therefore C.F.=C1+C2ex+xC3exnow we…

Q: (c) f(x) = x4 - 1 and g(x) = x4 – x³ – 3x² + 5x – 2 in F(R) -

A: HEre we have to find the GCD of the given polynomIal.

Q: | 2x²+ 4x- 5 x(x² +6x+10)? * To solve | -dx using the method of partial fractions, we write it as

A:

Q: Determine whether y=x-1 is a solution of V)'+y=-1

A: Given y=x2-1, taking derivative with respect to x. ⇒dydx=ddx(x2-1)⇒y'=2x-0  ∵dydx=y'⇒y'=2x…

Q: Suppose x E R. If x³ – 4x4 + 3x3 – x² +3x – 4>0, then x2 0. - |

A: Given that x∈ℝ. We have to prove the statement "If x5-4x4+3x3-x2+3x-4≥0, then x≥0" by using…

Q: Find the General Solution: y" - 3y' + 2y =e*

A:

Q: find the general solution of (y-zx) p+ (x+yz)q=x2+y2

A:

Q: The antiderivative of the function f(x) = x2 + 9x is. -5 + 18.0x? + c -5 4.5x? + c -9 + 2.5x² + c -5…

A:

Q: Find the general solution: dy + ycotx = 3eCosx dx y = 3cscx(ecosx) - ccosx b. y = -3cscx(ecosx)+…

A:

Q: Q1: Find the general solution of the y - 4y - 5y = 2sin2 x

A: Given differential equation is y''−4y'−5y=2sin2x. We have to find the general solution of the given…

Q: Solve using the chain rule f(x) = 6/2x – 5 12 A. 6V2x- 5 В. 2х-5 6. C. 12x/2x –5 С. D. V2x-5 - O A O…

A:

Q: 12. Given f(x) = 2x3 + 11x + 2 and g(x) = x³ - 2x2 + 7, find (f - g)(x). %3D A. x3-9x2 + 11x + 9 B.…

A:

Q: The general solution of (D³-5D²-6D)y=0 is Ay=c₁+c₂е¯x + c3e6x By=c₁ex+c₂e²x + c3e³x Ⓒy=c₁+c₂e²x +…

A:

Q: Find the critical points of the functionf (x) = 4x³ – 48x+2. O a. 2,3 O b. -2,-1 O C. -3,3 O d. -2,2

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Q: What is the general solution of xy^2dx+x^2ydy=0

A:

Q: Find the general solution of (y-zx)p+(x+yz)q=x2+y2

A:

Q: Suppose g(x) = x² +2, then g(x+h) will yield to A x+2xh+h2+2 B x²+2xh +h+2 x2 +2xh +h2 +2 x²+2x+h?…

A:

Q: Find the general solution of: y"- 4y' + 4y= e2x %3D

A: Method of variation of parameters : consider the differential equation        d2ydx2+P(x)dydx+Q(x)…

Q: 2. Find the stability of the difference equation xn = Xn-1+¤n-2.

A: By theorem,            Let the 2nd order homogeneous differential equation is,…

Q: The antiderivative of the function f(x) 6 + 8x is -8 + 3.0x2 + 6 + 4.0x2 + c 6 + 16.0x? + c -6 4.0x?…

A:

Q: b. Given f(x) = 3x + 2, g(x) = 2x² – 4x and h(x) = x-x+ 7, find (g + h) (-1/2). %3! %3D

A: Given: f(x)=3x-2, g(x) = 2x2 -4x and h(x) = x2 -x+7 To find: g+hf-12 This can be defined as follows:

Q: The general solution of (D³-4D²)y=0 is A y=C₁ + ₂x + c3e4x By=c₁+ c₂e²x + c3e-²x Ⓒy=c₁+ c₂x + c3e-4x…

A:

Q: f(x₁, x₂) = (x₁ - x₂)² + (x₁ −4)² + 2x₂-2 Find the optimal solution using Hessian.

A: note : As the "Student ID" is not provided, we will solve the first question (a) only.   As per the…

Q: The general solution of xy' = -x3³y-csc (xy) is A B C D 2x²cos (xy)+1=cx² -2xcos (xy)² + 1 = cx²…

A: Please see the below picture for detailed solution.

Q: Determine the general solution of y" - y = 0 given y₁(x) = e-2x using reduction of order

A:

Q: Find gof. f(x) =x², g(x)=x- 4 († +zx) O

A: Find gof

Q: Q2/ Show that y =e2x + e-3x is the solution to the y"+ y' - 6y = 0

A:

Q: find the general solution of y''+2y'-3y=(5x^2-7)e^-x

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Q: Q2/ By using partial method solve fx² In x dx

A:

Q: The particular solution Yp for the DE (D2-5D-6)y=-6x2-10x-4 is A Yp =x2+2x-1 Yp =x? +3x+1 Yp =x?…

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Q: c. Solve x2 + 4x-y+3 = 0 and x-y+7 = 0 using any of the two methods.

A:

Q: Find the general solution of (2x –y) = 2y – x

A:

Q: Find the general solution of y" - 4y/ + 4y = .

A:

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.