Q4/ Evaluate (xy + e") dy dx using Three point formula in x,y-axis and two point formula in z axis

Q: dy tanx (4) Find if y = (sec x)" dx %3D

A: Here, we have the given function in the form of a variable raised to the power variable. Therefore,…

Q: first derivative y= 4in Gty) is dy 4.

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Q: max value for y

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Q: п/4 sec z dz

A: By using integration formula, we calculate the given integral.

Q: et-x+l 2x –1 -dx by using substitution method. Integrate

A: First I have made a substitution and integral become easy and then solved . I have written all…

Q: dx S COsxtanx

A: Here we will solve the given integration,

Q: Q3. Evaluate : IL (2) * dy dx

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Q: Find dx at x--3 if y-5x-2 and Do NOT Round.

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Q: Differentiate implicitly to find dx Зху + 5 3 0 dy %3D dx

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Q: dy by implicit differentiation: 2x 3x? y + y = 15 Find - dx

A: Take the derivative by concept of power derivative and chain rule of derivative.

Q: Differentiate: F(y) (y + 9y°) yA - y?

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Q: Approximate - -1x+3 -dx using trapezoidal rule with n=4 and Simpson's rule with n=4.

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Q: Differentiate implicitly to find dy/dx. ²+ y² - y² = 29 dy dx 11

A: This question is based on implicit differentiation.

Q: Jz{sinh³ 4z*)'^ ² - dz 1/4 cosh³ 4z'

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Q: 2x dx by taking n = 4 1+ x Use trapezoidal Rule to evaluate

A: trapezoidal rule

Q: The general antiderivative determined by - x² - 3x +2 is dx

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Q: Differentiate. y =x° In x- dy II

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Q: find dy / dx by implicit differentiation.

A: We have use implicit differentiation in the following equation to find dydx. 2x3 + 3y3 = 64

Q: 22. Use the Trapezoidal Rule with n = 4 to approximate 1 (x− 1)² dx

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Q: Find the second derivative of y = (4 – 2x)2 + 2sinx. dy Directly type your answer WITHOUT y' or dx…

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Q: Find dy/dx given that 3(x +y) = 100xy Solution:

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Q: 4. Evaluate: a) 4 (earctan x)dx o dx b)음 arctan x dx # earctant dt

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Find dy/dx by implicit differentiation. 2(x^2+y^2)^2 = 25(x^2-y^2)

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Q: dx Q2. Integrate

A: Given,I=∫1x2+15dx Consider x=tanu and u=arctan(x) then, dx=sec2udu…

Q: Integrate by Gaussian quadrature (n=3). dx Ji 1+x*

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Q: Find a result by using homogenous for (x³ - 3x²y)dx-(x3³ - y³)dy = 0

A: This question is based on solution of Homogeneous differential equation.

Q: 2x dx by taking n = 4. 1+x Use trapezoidal Rule to evaluate

A: on solving this we get

Q: 2х — 1 - dx 6х + 18 x² -

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Q: Ans: y-x+ In y+3, dy = 7. ху+3x-у-3 dx ху-2x+4y-8

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Q: Find dy/dx by implicit differentiation. 9x2 + y2 = 4 dy/dx = %3D

A: Topic:- Differentiation

Q: ] Integrate by parts to show that Vx dx = 2e4 - e* dx. ex. е —

A: To evaluate the given integral choose  √x as the first function and ex as the second function and…

Q: dy Find by implicit differentiation. dx 6xe + ye = 7 dy dx

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Q: y= sinh-lx then prove that Vx2+1 dx

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Q: dy Exc:" of y = tanh (x5 – 5x)² --

A: Solution:Given         y=tanh4(x5-5x)2  To find dydxFormula:ddx(xn)=nxn-1ddx(tanh x)=sech2x

Q: 2. Use trigonometric substitution to Vx² – 25 dx integrate: 4

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Q: Find dy/dx by implicit differentiation. x4/3 + yA/3 =12 %3D dy/dx = (Express your answer using…

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Q: dy dx 118 (x = 3x - 5

A: Topic:- differential equations

Q: dy Obtain general solution of- 3/xy dx

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Q: dy Use an appropriate technique to find dx from x² + y² = (2x² + 2y² -x)*.

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Q: 3. (2х - у - 4) dx - (х-3)dy -0 when x %3 1, y 3D 4.

A: We try to identify and group terms and integrate.

Q: Q Find the derivative us ing the de fini tion 2. O fcx) Fcx) x+2X %3D

A: Derivative of the function using definition

Q: (0.2t25x+3x²) dx

A: We have to find the value of ∫050.2+25x+3x2dx using the Trapezoidal rule We take that the number of…

Q: Use Euler's method (with all details) to find approximate value of = 2y - 2x² -3, given that y = 2…

A: Given: y'=2y-2x2-3 , y(0)=2 , h=0.3. We find y(3) by using Euler's method. The formula for Euler's…

Q: Find dy/dx by implicit differentiation. 11 11 dy/dx = (Express your answer using positive exponents…

A: The given function is 11x3+11y3=7

Q: Differentiate the function. 1 y3= (2x +3) dy dx

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Q: 12. Differentiate.   y=4/2−7x dy/dx=nothing   Enter your answer in the answer box.

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Q: 9. 2y(у? — х)dy — dx, when x %3D2,у %3D 2

A: Given that: 9.     2y(y2-x)dy=dx,    when x=2, y=2     NOTE: As per our answering guidelines, we can…

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.