3. Differentiate y = 2x-1 - with respect to x and then evaluate 2 x(x – 1) -dx (2x – 1)2

Q: Find an interval of definition for the equation x^2 dx/dt = 3x^3 t^2

A: Domain of definition is where X(t) is defined

Q: Express the relationship between a small change in x and the corresponding change in y in the form…

A: Consider the given function

Q: r3 V9-x² »6-x-y dz dy dx in the order dz dx dy 0,

A: Given triple integral is ∫03∫09-x2∫06-x-ydzdydx

Q: dy for all of: dx Find 3 x(x-2) 2- у %3 x2+1

A: We will use simple differentiation rules to solve this question.

Q: 2x -1 If y-f and .1 + 'א. dy f'(x) - sinx".find - dx

A: NOTE: Refresh your page if you can't see any equations. . now substitute

Q: Find the dy/dx by implicit differentiation. 1. 4x2 – 9y2 = 1 2. x³ + y3 = 8xy 3. x? – 7xy + y2 = 0 |

A: As we know that; The sum/difference rule: f±g'=f'±g' The Power law; ddxxn=nxn-1 The Product rule:…

Q: Find the particular solution for (2y - x) dx + 3xy2 dy = 0 when x = 1, y = 1

A:

Q: 2FI 2FI sım nx dx = cos nx dx = 0, where n integer. 0.-

A:

Q: dy y = In 1-х2 dx 1+ x2

A: To find: The derivative of y=ln1-x21+x2. Concept used: Chain rule of derivative: fgx'=f'gx·g'x The…

Q: dy 2х + ху is separable. dx y2 + 1

A:

Q: dy olution of the DE =CO dx 2x + C nx + C (x) + C

A: We have to choose the correct answer from the given options according to the given information

Q: Find dy/dx and d2y/dx2 without eliminating the parameter. x=1-t^(2), y=1+t

A: x=1-t2,  y=1+t Differentiating with respect to t, we get dxdt=0-2t  &  dydt=0+1⇒dxdt=-2t  &…

Q: Show for Re(z) > 1 -dx r(2) ((2). 1 er 0.

A:

Q: Q4 Find dy for all of : dx 3 x(x-2) 1- y = xvInx 2- у 3D x2+1

A:

Q: Assuming 8x³ - 10y² - 2xy = 0 defines y as a differentiable function of x, use the theorem dx dy dx…

A:

Q: dy Evaluate dx at point (4,2) given 3(x² + y²)² = 100(x² – y²).

A: Answer and explanation is given below

Q: d²y 1.) of y = sinInß and x = In(Inß) dx2

A: Topic = Derivative As per guidelines , At a time only one question can be answered out of different…

Q: What is / - z dx? 1-x² o f- dx = -2cos-lx + C V1-x2 S- dx = 2sin-lx + C (1–x2 S-d 2 dx = 2cos-x + C…

A: 1. I=∫-21-x2dx =-2∫11-x2dx =-2sin-1x+C    ∵As ddx(sin-1x+C)=11-x2⇒∫11-x2dx=sin-1x+C=-cos-1x+C…

Q: Find of/dx and dfldy. f(x,y)% 3 (3xy-1) of

A:

Q: dy 17. Find dx at the point (-2, 2) given that 2x- 5y = 3xy

A: Explanation and solutions is given below.....

Q: 26. (2xy2-3x²)dx + (x² + 2y)dy = 0 A. Exact B. Not Exact

A: As, the student has posted multiple questions but we can solve one question at a time according to…

Q: 14) find the respect of y with respect to x Y=(6x+5)^x dy/dx=?

A: Given function: y=6x+5x Taking log to the both sides logy=log6x+5x We know that logxa=a log(x) So,…

Q: Q1) Evaluate: (a) fe²_1_dx Inx sin ¹x 1-x² dx (b) f 1- cos dx (e) Jỗ 2sinx cosx dx (c) | Inx dx

A:

Q: (2siny + 1)dy : 4 and y(0) = 5. dx What is x when y = x?

A: Given:  2siny+1dydx=4, y0=π2 Using Variable separable  2siny+1dy=4dx Integrating both sides, we get…

Q: dy 2. if y = In(x² + 1) Then at x=1 %3D dx 2- 2 In 2 2- 1 1- 4- 1/2

A:

Q: 2. Find an expression for dy/dx on the curve x In(y) + x³ – 2y = 6.

A:

Q: Find dy dx if x=- and y and %3D dx 1+t 1+t

A: Given: x=t1+t and y=t21+t.

Q: Evaluate S. So dy 0 dx √√[y(1+x²)]

A: Problem is solved using concept of integral.

Q: 13. Find dx/ dt and at di/a dx in terms of x when x'6t=18 x'6t= 18

A:

Q: Non-Exact DE (4x2 – 4xy + 3y² + 2x – 3y)dx + x(2x – 2y + 1)dy = 0

A:

Q: 5 一=A+hxsl-x dy=?

A:

Q: dy for y=In (x² +1}+ (sin x +5)*. Find dx

A:

Q: II. Find by implicit differentiation. dx dy 1. 2x? + 2y? =17 2. x'y - xy = a'b 1_1, 3. x y 4. 2x +…

A:

Q: dy for all of : dx Find 3 |x(х-2) 1- y = xvlnx 2- у 3 х2+1

A:

Q: What is the I.F of dy/dx = y - xy^3e^(-2x)?

A:

Q: 3. Find dy/dx of: x(x-y)-xーy evaluated at x = 0.001 and y = 0.002

A:

Q: What is the value of dy/dx at x = 1 of the function * = (20" – a*) () x+1 y = - 2-1

A: We know that: The Power rule: ddxxn=nxn-1 The product rule: f·g'=f'·g+f·g' The Quotient rule:…

Q: Chose only two: dy 1. Find for y + In x2 y2 -cos 2x* = 27 dx 2x+1 2. Evaluate: f dx -4

A: We use chain rule and product rule while differentiating the given equation.  Also for integration,…

Q: Evaluate xy dx + (x+y)dy along the curve y = 4x from (- 2,16) to (- 1,4). xy dx + (x+ y)dy =

A:

Q: Find dy/dx by implicit differentiation. 2) x3 - 2y2 = 1 4y B) x2 + 1 A) 4y C) 2y D) x2

A: solve the following

Q: The value of the integral 1 2 x²y° dy dx is: 2..3 1

A:

Q: Differentiate the following function. y=3ex−3x dy/dx= ?

A: Solution of the problem as follows

Q: dy Differentiate implicitly to find dx 5. 3 4 x'y +8x -3y +2 dy 口 dx

A: Given query is to find the derivative of the function using implicit differentiation.

Q: 1. Use residues to evaluate 1 : xe dx , (a>0).

A: Let fz=ze-zz2+a2 The poles of the function fz are ±ai Choose the contour C consisting of the real…

Q: Solve the differential equation listed below:

A: Separate the variables.

Q: dy x- y = x.cos² ² 1- dx

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

Q: dy Find dx at x=-3, given y= 3x²-2, at -2.

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: ) Find (dy/dx) for: tan-¹(x² + y) - eln(x³y) = 5sinh(y)

A: We need to find dy/dx.

Q: Find dy when y = 3 1-x %3D dx V1+x

A: NOTE: Refresh your page if you can't see any equations. . take derivative

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.