nclosed by x = y, x = 2 - y and the x-axis?

Q: 13. y = x'/9, 0 sxs 2; x-axis

A: The formula for area of revolution of a curve on interval [a,b] about x-axis is given as…

Q: from y = ae + be %3D 2.

A: y=ae4x+be-4x ....(1) Differentiate both side w.r.t x dydx=4ae4x-be-4x        ....(2) From (1) and…

Q: What is the need of y=mx+b

A: The need of y = mx +b is given in the next step.

Q: 4. Šolve Člairaut equation y = xy' – 2In(y' +1)

A: The given clairuat equation y=xy'-2lny'+1 s the first order nonlinear ordinary differential…

Q: dz and dy dz 3. If x? – 3yz2 + xyz – 2 = 0, find -

A: In this question we have to find the dzdx and dzdy.

Q: nissile is propelled from the origin of a coordinate system with the x units

A:

Q: Let X; = tB¡ B,ds. | Is (X,)r20 a F - martingale?

A: Consider the given process:        Xt=tBt-∫0tBsds

Q: Find the length of the curve y = x2, 0 ≤ x≤√3/2.

A:

Q: If y2 is positive, then y1 + y2 will lie _______ y1 by a distance equal to ____.

A: Consider a function y=sinx+1. Here y1=sinx and y2=1>0positive.

Q: 1-x² 2. , S. et²+y? dydx = (е-1) 4

A: We have to show that:  ∫01∫01-x2 ex2+y2 dy dx=π4(e-1)

Q: Find the length of the curve 4t2 -1 dt, y = %3D 1<x<3 8. 15 104 3 3.

A:

Q: f(x, y) = 2x – x² – y? %3D -

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

Q: Y Is the midpolnt of XZ.If XZ 8x-4 and YZ = 3x +1, find x.

A: Given Y is the mid-point of line segment XZ XZ = 8x-4 YZ = 3x+1   to solve the given question use…

Q: Evaluate: xyze-(a+y+z) dxdydz 0.

A: The given problem is from the calculus and subcategory triple integration here in the given question…

Q: , y = X = t+2 t+2,

A: The solution of the problem is given in the next step.

Q: Eliminate the parameter from x = 2sint, y=4cost

A:

Q: Find y" * y" at (1,1) of x'y =1

A: We have to find derivative

Q: Dyy 2y-x; %3D

A:

Q: y = VT, y = 2 - x and r O about the x-axis?

A:

Q: dz Find at (2, -2, 1) if x² + y? + z2 6xz + 6yz + 21

A: Given equation is x2+y2+z2=6xz+6yz+21 We have to find ∂z∂y at 2,-2,1

Q: Find the length of the curve. y= (16-x2/3)3/2 from x=1 to x=64

A:

Q: dy 4. x2 + y? = dr xy (Bernoulli DE) %3D

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: If x2 + y2 = 4 which has domain Dr=[-2,2] range Rf=[0,2]. Shrink and stretch it vertically by 3…

A: We are given:  x2+y2=4⇒y=4-x2=f(x) For shrinking vertically by 3 units , we have: f(x)→13f(x) Hence,…

Q: Find the points of intersection of x = 4y and y = 4x. (ans.:(0,0),(16,64))

A:

Q: 2 The Range (Ry) of y = v9 – x² -

A:

Q: 13. y = x², y = 0, x= 1; about the y-axis

A:

Q: 2. Differentiate the follow a) y = e 2x -ex %3D ex

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Q: ed by F(x, y) = (-: %3D

A: The function given is , F→x,y=-x,y. Draw the table for the points plot on the graph for the vector…

Q: Find the length of the curve 3x = (y² + 2)³/2 from y = 2 to y = 3 %3D

A: Use length of curve formula:-  for a given curve x = f(y) from y=y1 to y=y2 length of curve,…

Q: Find the length of the curve x = y2 — 2y, 0 ≤ y ≤ 2.

A:

Q: Find the length of the curve x = (y3/33) + (11/4y) on 3≤y≤5.

A: Consider the given curve f(y) and find the derivative w.r.t y.

Q: dy If dz 3x - 3 and y(0) = 8, then y(1) %3D ---

A:

Q: Find the length of the curve y = 4 1 between x 1 to x 2. %3D &x2

A: It is length of curve.

Q: Find at (2, -2, 1) if dy x2 + y? + 22 = 6xz + 6yz + 21 %3D

A: Given that x2+y2+z2=6xz+6yz+21 Then we have to find ∂z∂y

Q: x, y) Edy is

A:

Q: Find the length of the curve. y = (4 - x2/3) 3/2 from x = 1 to x = 8 O 9 O 12 O 18 O 6

A:

Q: The curves x=y²and x = 2 y – y?

A: Since you are asking multiple questions. As per our guidelines, we are supposed to answer only one…

Q: a) Let y" + xy' + y = 0 be given. Why does the approach y(x) := e^× does not work?

A:

Q: Find y' for x°y* + 2x + 2y = 128 at the point (2, – 2). At (2, – 2), y' = Preview -

A: The given equation is: x3y4+2x+2y=128...(1) To find y' at the point (2,-2).

Q: స్థాగ The length of the curve y = Ex3/2 between x = 0 and x = 1 is %3D 2/3

A: Length of the curve=∫ab1+f'(x)2dxy=f(x)=23x32f'(x)=23×32x12=xf'(x)=xLenth of the curve between x=0…

Q: Symmetric with respect to the y-axis yA 1 1+ x?

A: Functions can be symmetrical about the y-axis, which means that if we reflect their graph about the…

Q: Sove the IVP y" + 2y' + y : if 0 4

A:

Q: Evaluate the length of the curve y = 2 + Vx , 3 < y< 4

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Q: 4. x = 9-y2 ,-2 <y S2 about y-axis vis

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Q: Q2 Find2 of y = 4x/x+ vã at x=1? %3D

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Q: The length of the curve 4/2 3 y = xi - 1,0 < x < 1 is .

A: Given,            The length of the curve y=423x32-1 , 0≤x≤1 is 136.To find : Check whether the…

Q: Evaluate S. (x – y)dx + xydx where C is the y = 2x2 – 1 from the point (-1,1) to the point (2,7).

A:

Q: Find dy when r + y? = 5.

A:

Q: Solve for the domain and range of. f(x,y,z) = V4-x2-y?

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Q: Eliminate the arbitrary conutantu 2. %3D y= ax + be

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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.