If f(x) = x² – 2x & g(x) = 3 – x then solve the equation a) (fog)® = 0 b) (gof)) + x² + 5 = 0 &

Q: (b) Find the general solution of: = yx² - xy ex

A:

Q: Solve using crama's rule: 2x - 2y + 3z = 13 5x - y + 4z = 11 x + 3y - z = -10

A: We solve the system using Cramer rules

Q: Find the solution of the equation on the interval [0, 2π).

A: We have, cos (A+B) = cos A cos B - sin A sin B sin (A-B) = sin A cos B-cos A sin B

Q: Solve the initial value problem: f'(x) = x13 - 4x + 12x + 18 and f(0) = 2. %3D %3D

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Q: Solve using the method of undetermined coefficients: x" – x' = te*;x(0) = 2,x'(0) = 1 %3| -

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Q: Solve the particular solution (D2+3D+5)y = 5e-xsin2x using  D- operator method.

A:

Q: Solve for x and y simultaneously: x-2y -3 and y320

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Q: y" + y' - 3y = 4sin 2x

A:

Q: 8. x = y² – 2y, x= -1, y= 0

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: Show your complete solution in finding the General Solution of (D³ - D)y = 4x² Use method of…

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Q: Obtain general solution of y' = y + y^3.

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Q: x' = 4x + y + 2t, y = -2x + y %3D

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Q: A factory can produce two products x and y with a profit approximated by P= 14x+22y-900. The…

A: A factory can produce two products x and y with a profit approximated by P= 14x+22y-900. We are…

Q: Solve the root of the nonlinear equation f(x)=x²-3 using false position method. Root interval (x =…

A: Roots are

Q: Find the particular solution of y''-5y'=x-2 when x=0, y=0, y'=2

A: Given that that a non homogeneous differential equation and we find its solution.   Here i attached…

Q: . Find the general solution of (³ + 2y*)y' = 3ya² in implicit form f(x,y) = c. When y(0) = 1, what…

A: We have given differential equation  x3+2y4y'=3yx2…

Q: 2senx y' - 2y =

A:

Q: Solve for Gaussian Elimination with Back Substitution. 2x+y+8z=-1 x-y+z=-2 3x-2y-2z=2

A:

Q: 4. Solve for the general solution of --y = x²y? a. y-1 = Ce* - 12e* b. y-1 = Cex - 10e2x c. y-1 =…

A: Given that, The differential equation is following, dydx-2xy=x2y2 We have to find the general…

Q: Show your complete solution in finding the General Solution of (D³ - D)y = 4x² . Use method of…

A: Given that: (D3-D)y=4x2

Q: Solve the Coout's 2n, toX t X3 = -3n, +4%2 -2nz lineas method. uquation by ニー3 %3D 6. 1)

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Q: Find the general solution of the different ial equation where y = æ2 is a particular solution (1 –…

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Q: We wish to find the solution to =26y that passes through the point (x, y) = (1, 3).

A: Explained below

Q: What is the particular solution for y′=−6x+3 that passes through the point (−4,−8)? Do not include…

A: The given differential equations is y′=−6x+3.

Q: b, Solve dy- y -n3y²--x5 finding particular solution.

A: Solve DE

Q: Use Separation of Variables to find a solution in the domain (-∞, 1] with h(1) = 0.

A:

Q: Obtain the general and particular solution 1. 2ydx = 3xdy, when x= 2, y = 1.

A: The given differential equation,1. 2ydx=3xdy, when x=2, y=1 Note:     Multiple questions are given,…

Q: 2x + 3)y’ = y + (2x + 3)1/2

A: Given differential equation can be reduced in linear differential equation

Q: Find the auxiliary equation with constant coefficients satisfied by  e^2x , e^-x , e^3x , e^5x

A: Let's find.

Q: solve in R: (x)-1" = (z-1)² 2x+1 %3D

A: The solution of the equation, f(x)=g(x) can be obtained graphically. The point where the graph of…

Q: Show that the equation 2/x– 1– Vx = 3 has a solution.

A: Equation is 2x-1-x3=3

Q: Obtain the general and particular solution 1. 2ydx = 3xdy, when x 2, y = 1.

A: Given differential equation 2ydx=3xdy and when x=2,y=1 The objective is to find the general…

Q: 4. Solve for x. MZWYX = 56x +1 M2WLX = 58x - 1 4. Solve for x Y

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Q: Solve initial value problem f(r) = - 8z2 + 16z +1:f(0) = 0. %3D

A: Topic - application of integration

Q: Find the particular solution of xy' – 2y = -x ; when x y = 5 1,

A: Recall: Consider the first differential equation                           dydx +P(x) y =Q(x)…

Q: Find the general solution to x*/ = x*y – y°.

A:

Q: 2. x (х — 2)у" + 2(х — 1)у' — 2у %3D 0 |

A: Power series solution of the differential equation

Q: Two solutions of y"-2y'+y = 0 are e^-x and 5e^-x. Is the general solution y = cle^-x + c25e^-x?…

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Q: What is the particular solution of 2xyy' = 1+y2 , when x =2, y = 3

A: The given differential equation is solved below in detail.

Q: 4. Solve y 3x 3y + 2y" e using undetermined coefficient. Show all the work.

A: We need to solve D.E.

Q: A firm can produce only 2900 units per month. The monthly total cost is given by  C(x) = 500 + 200x…

A: Since, A firm can produce only 2900 units per month. where, the monthly total cost is given by  C(x)…

Q: (b) Solve y" + y = 0, y(0) = 3, y(1) = -3 by using finite-difference method with h = 0.2.

A:

Q: Solve Using left to right elimination method x-2y-z=0 x-3y+z=1 3x-6y+z=12

A: The given equations are, x-2y-z=0                                                       1x-3y+z=1…

Q: 1. Solve [6x²e*, 35x-3,x>0 ,x<0 [w(x)dx if w(x)= а. b. 3cos 2xsin 7xdx

A: we have to solve the following Integration ,  a) ∫-11w(x)dx if w(x)=6x2ex3,x≤035x-3,x&lt;0b) ∫3cos2x…

Q: d) Verify if y = 2e* + x - 1, solves y' = x - y

A: If y=2e-x+x-1, solves y'=x-y

Q: What is the general solution to y''+y=0. Show the solution.

A:

Q: Find the particular solution of (d2y/dx2) = 4x3 - 2x; y' = 4/5 and y = 1 when x = 1

A: Given differential equation, d2ydx2=4x3-2x       ...(1) y'=45 and y=1 when x=1

Q: x  -   y  -  z  =  2 -x  +2y  - 3z  = -5 3x  - 2y  - 7z  =3 solve x, y and z

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.