f (x) = 2x² + 3x – 4, g(x) = 2x – 1. Find (g •f)(x) -

Q: m (x) = V - 6x 1. f (x) VI +2-3 1 t(z) V9 - 1 9-r

A: we have to find the domain for the following function

Q: Find d2y/dx2 in terms of x and y. x2y2-10x=1

A:

Q: Find the real valued general solution of y" + 5y = 0. %3D

A:

Q: V121–a² r85-x²-y² 11 x dz dy dx -157+x²+y²

A:

Q: Find DF of fcxiy)=x²e° at the point (-2,0)-

A: Given function is fx,y=x2ey. We have to find the ∇f at the point -2,0. We know that ∇f=∂f∂xi+∂f∂yj…

Q: The function y = 2x2 - ln 4x (x 7 0) has one minimum point. Find its first coordinate.

A: Given  y = 2x2 - ln 4x

Q: What is the particular solution for y′=−2e^x−3x^2+x−4 such that y(0)=1?

A:

Q: particular

A: We find particular solution.

Q: Suppose that f(æ, y) = e-3x² – 4y? + y Then the maximum is

A:

Q: The y, of y'"-y=2x2-x -3 by using variation of parameters is: .A Y,(x)= x - 1 .B y,(x)=x² + x +1 .C…

A:

Q: Use variation of parameters to find a particular solution of y"- 2y' +y = 14xie" Yp(x)

A: y''-2y'+y=14x32ex find the roots for the homogeneous system  r2-2r+1=0 r-12=0 r-1=0 r=1 for one real…

Q: メ Find dy S-3xメ+)X-2) (x211) (2X+3)

A: We have to find the derivative of y

Q: -x-1 a) y' = +2yi-1 v(0)=1

A:

Q: a. Solve f'(8) for y = Vx – 4x-1 + 2x x² – 6x + 9 b.The y'for y = x – 3 c. The f'(3) for y = v3x² +9

A: Given: a) y=x3-4x-1+2xb) y=x2-6x+9x-3c) y=3x2+9

Q: Use variation of parameters to find a particular solution of y"- 2y' + y = 14xie Yp(x) =

A: Auxiliary equation for the given equation:

Q: Find the general solution by using reduction of order method to (x2 + 1)y" – 2xy' + 2y = 0 given…

A:

Q: Q2. Solve the DE. y"" = x2sinx 1. by using inverse operator method. 2. by using variation of…

A: As per bartleby guidelines for more than one questions asked, only one questions is to be answered,…

Q: h(x) = Vx – 2 on the domain [2, 5]. -

A: The given graph is:

Q: y" -4y' + 13y :

A:

Q: der the problem maxx + 2y subject to x² + y² ≤ 1 and x + y 20

A:

Q: Apply the Gauss-Seidel method to the system

A: the Gauss-Seidel method to the system x1 - x2 = 1 and 2x1 + x2 = 5 with initial approximation [0  0]…

Q: 2a V2ax 2ах f (x, у) dydx (a > 0) е. 2ах-х2

A:

Q: Find the particular solution for ysqrt(1-x^2) * y'-xsqrt(1-y^2)=0  when y(0)=1

A:

Q: Let_y=x² +5x³-4x+1 then dy- ||

A:

Q: Solve the particular solution (D2 + 3D + 5)y = 5e-x sin (2x) using D - operator method.

A: We find the particular solution of  (D2 + 3D + 5)y = 5e-x sin (2x) using D - operator method.

Q: Find the maximum value of 5x2 - 4xy+ 8y subject to x+y? = 1..

A:

Q: Find the particular solution determined by the initial condition. f'(x) = rx) = 2x2/5 - 3x, f(1) =…

A:

Q: f(x, y) = 6 – V4 - x2 - y2 is

A:

Q: A fast food restaurant hos a cost Production C(x) = ||x+120 and arevenue function R (x) = 5x,When…

A: Consider the profit function is P(x)=R(x)-C(x) when this function is more than 0 then company makes…

Q: S2-3x', x>2 Vx -2, х <2 а) g(x)-

A: The given function is gx=2-3x3,   x&gt;2x-2,    x≤2. Sketch the graph of this function as shown…

Q: -V4-x² c3-x²-y² xdzdydx, 0. 0, J-5+x²+y²

A: We will find out the required value.

Q: Given that y1 = 3x is a solution of æ°y" + xy' - y = x2 on the interval (0, 0), use the reduction of…

A: Concept - used the reduction of order

Q: What is the DE for A(x^2)+Bx+C using elimination of arbitrary constants.

A:

Q: Solve for fazy for f(x, y, z) = 4x³y²z - e²zy¹ + + 4y - x¹6

A:

Q: The y, of y'"-y=2x²-x -3 by using variation of parameters is: .A y,(x)=Ae*+ Be- .B Yp(x) = x – 1 .C…

A: Given that  y"-y=2x^2-x-3 To find the particular solution by using the variation of parameters

Q: Find the solution of y-x =0 using separable variable method. dx

A:

Q: -3x2 F(x) = S*" t² dt %3D

A: TO EVALUATE THE FOLLOWING INTEGRAL F(x) ∫-x3x2 t2 dt FORMULA USED- ∫abxn dx = xn+1n+1 i.e substitue…

Q: f(x) = 2x3+az? 12z has alocal maximum at z -2,then a

A: f(x)=2x3+ax2-12x  has a local maximum at x=-2then we have to find the value of a

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

A:

Q: A particular solution of x¨ − 3x˙ + 2x = t2 + 1 is given by

A: given that x''-3x'+2x=t2+1. we need to find the particular solution for the given differential…

Q: Find the general solution of y" = 6y' – 9y where y is a function of x.

A: Given differential equation, y''=6y'-9y Find the general solution of the differential equation.

Q: Use variation of parameters to find the general solution of y′′−2y′+ 2y=(e^x)csc(x)

A:

Q: A cell phone factory has a cost of production  C(x) = 150x + 10,000  and a revenue function  R(x)…

A: Given  cost of production  c(x)= 150x+10,000 Revenue function  R(x) = 200x

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

A:

Q: Find DF of fcx,y)=x²e° at the point (-2,0)-

A:

Q: 9. Find a quadratic function y = ao + a1x + a2x² satisfying y(1) = 1, y(-1) = 2, and y'(1) = 2.

A: put values and make equations then solve

Q: Use variation of parameters to find the general solution of y" – 2y' + 5y = e'.

A:

Q: Find General Solution of y" + y" = 0.

A: Given the differential equation is y"' + y" = 0. Here the auxiliary equation is m3 + m2  = 0

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.