29. f(x) 1 + e* 31-32 Find ion specfied point the do

Q: 4. So, if we can recognize the function that we want to find the antiderivative of as a result of a…

A: Given that ∫x22x3+33dx The derivative used here is ddxxn=nxn-1 To evaluate the integral  substitute…

Q: y' – (cotx)y = -(2cosx)y-2

A: Handwriting solution

Q: Q 4. If tan x sin x is an integrating factor of the ay differential equation dx + Py = Q then P =?

A:

Q: 7. What is M(x,y) for the following differential equation: x(1 – sin y)y' = (cos x – cos y – y)

A:

Q: (e cos y + y)dx + (2y + x – e sin y)dy = 0 -

A: 1)verify that the differential equation bis exact using the test for exactness method   2) find the…

Q: A thin bar of length L = 3 meters is situated along the x axis so that one end is at x = 0 and the…

A: Given: Length of the bar L = 3 meters  is situated along the x axis so that one end is at x = 0 and…

Q: A tank initially contains a solution of 14 pounds of salt in 70 gallons of water. Water with 1/2…

A: Note : according to our guidelines we can answer only first three subparts A tank initially contains…

Q: Q.3.a).lf « & ß are real numbers, ß # 0 then the function y, = e" cos ßx and y, = etr sin ßx are…

A: Give two real numbers α,β≠0. First we have to check the linear independence of…

Q: A) ( This problem consists of two parts. Evaluate the following indefinite integral 5 TVER _ln(x+1)…

A: To evaluate: ∫51-x2+x21+x3+lnx+1x+1dx Let I = ∫51-x2+x21+x3+lnx+1x+1dx I =…

Q: Given a family of curves y= sin(x+ A) The associated differential equation is (y')² = a + by 2 Then…

A: Topic - differential Equations

Q: 1.3 Is x?y*dx + x°y³dy factors are not unique. an exact differential? Can you find an integrating…

A:

Q: Let y/ = sin(y) + 1. (a) Sketch the phase diagram for the differential equation. (b) Let y(0) = 0.…

A: Consider the provided question, (a) The phase diagram of the given differential equation is drawn…

Q: 3. a) Define Integrating Factor and Exact Differential Equation. b) Solve: (x2 + xy-y² )dx+ x² - 2xy…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Let y = 7x. Find all values of r such that y = ræ? satisfies the differential equation. If there is…

A: The objective is to find the value of r.

Q: At what point (or points) does the function g have an inflection point. Write "NONE" if appropriate.…

A:

Q: Q. 1 Find the general solution of the differential equation y" – 4(sec x + tan x)y' – 4(y - 2) = 0.…

A:

Q: Find an implicit expression for the solution of the ordinary differential equatic dy = y + Vx2 + y².…

A:

Q: 47.Find the area of the finite region bounded by the curve: y=xlnx, the x-axis and the lines x = 2.…

A: In the given question we have to solve question (47) and (48)in question (47) we have to find the…

Q: 3 (a) Find the differential dy of the given function y = x cos x (b) Use the information to evaluate…

A: Find dy.

Q: 4. Determine the differential equation of the family of circles shown of fixed radius r with centers…

A:

Q: Find the function y = f(t) passing through the point (0, 11) with the given differential equation.…

A:

Q: II. Find the differential equation of the following families: 1. straight lines whose x and y…

A:

Q: 5. A particle moves on the curve y= lnx so that its x-component has derivative x'(t)=1+1 for t 2 0.…

A: First do the integration to find the position vector and then at t=0 find the integrating constant…

Q: (iv) The trial form y,(x) for the differential equation y" + 2y' + 2y = cos(x) is... (a) yp(x) =…

A:

Q: dy Differential equation = f(x) · g(y) can be solved by separating variable as - = f(x)dx. dy + 1+y?…

A:

Q: 6. Find the general solution of the following differential equation. Primes denote derivatives with…

A:

Q: Soru 1: xE (0,+) Defined in the range d²y dy x² +1 +6- -+9y=e3* differential equation dx? dx a)…

A:

Q: (y – x + xy cot x) dx + x dy = 0

A:

Q: 10. What is the integrating factor of the differential equation * y = csc a-ycot a tan a sec x O…

A:

Q: 1. Find the differential equation for the family of: 1. Circles passing through the origin with…

A: Topic:- application of derivatives  Note :- as per our guideline if more than one question uploaded…

Q: B and C are 3. Obtain the required differential equation associated with the following, where…

A:

Q: ind the differential equation of the family of curves described in the following 1. Straight Ines…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: What is N(x,y) for the following differential equation: x(1 - sin y)y' %3D (сos x - сos y — y)

A: Given a differential equation, x1-sinyy'=cosx-cosy-y

Q: The non-exact differential (x² + y²)dx + (3xy² + 2xy + x³)dy = 0 can be reduced to exact after…

A:

Q: 2. Test baz exactness and solve by fimding an integrating factor for hlie oodinery first order…

A: Test for exactness is by dM/dy= dN/dx For integrating factor , since degree of M and N are equal ,…

Q: I If f"(x)+ f'(x) + f²(x) = x² be the differential equation of a curve and let P be the point of…

A: Introduction :

Q: In your answers below, for the variable > type the word lambda; for the derivativeX(x) type X'; for…

A:

Q: particular

A:

Q: 5. The von Bertalanffy equation is defined by the ODE W'(t) = aw (t)-BW (t) where is a constant…

A: The von Bertalanffy equation is defined by ODE as follows W'(T) = αW(t)2-βW(t)Let  y(t) = W1-λdWdt =…

Q: Q.2 Show that the function y = cos x Fis a solution of the differential equation x +y = - sin x. dx

A: If  y = cos(x)/x is a solution of given differential equation x(dy/dx)+y = -sin(x)     then it will…

Q: rove that the given first order ordinary differential equation (2x – y) dx – (x – 2y) dy = 0 is an…

A:

Q: (b) A trigonometric curve C satisfies the differential equation. dy cos x + y sin x = cos³x. dx Find…

A:

Q: Show that the function flx, y)=sin (bcty) Satisfies the wave a²f =0 ə y² The wave equation Is an…

A:

Q: . Form the differential equation representing all tangents to the parabolas y^2 = 2x.

A:

Q: he differential equation by Frobenius me ents represented up to and including x3 dy + (x² +1)y=0 dx…

A:

Q: Нотogeneous Differential Equation x'ydx+(x* + x²y² + y* )dy = 0

A:

Q: 3.Find the differential equations for each familyof curves under the following conditions:…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 3. Let the function y = y(x) satisfy the equation (y – x)² = 1 + 3(y +æ)*. Show by implicit…

A:

Q: 5) Find the differential equation of family of circles through the intersection of the circle x2 +…

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.