ntegrais. I, da, D= {(x.y) 0sxs20sys2% dA, D = x +2 [['e"d4, D={(x,y)| 0s ys 4,0sx

Q: [3tan(x)² dx 2

A: Concept: Integration: The Sum of discrete data is denoted by Integration. The integral is calculated…

Q: integral (In x) 3  dx

A:

Q: 4 Inx b) Evaluate x'dydx by first reversing the order of integration.

A: Solution Given ∫04∫0ln xx2dy dxwe need to evaluate by first revesing the oder of integration

Q: how I calculate the definate integral 3x^2-e^2x(dx) on the interval ln3 to 0

A: To find the definite integral

Q: We must integrate y = (8x-x2)-(2x) = 6x-x². The limits on the integral correspond to the smallest…

A:

Q: 3) f(x) = (x + 4) Standard form: Y-int:

A: As per our guidelines we are supposed to solve only one question. For the solution of the first…

Q: integral by part x² dx

A: Given that  The integral is

Q: What value of b > -1 maximizes the integral function

A: Given,

Q: Evaluate ∫x3 √(1 - x2) dx using integration by parts.

A: Consider the given integral Here the objective is to evaluate given indefinite integral.

Q: 3) Estimate Y(2) using Euler's method with 0.5 long dY intervals. Y - 2X and Y(1) = 0. dx

A:

Q: Integral of e6x dx

A: Given integral:

Q: Determine h(x) = -x3 t 1ocal eXTrema for + 4x² t48X +9 USing the first derivatve Test,

A:

Q: |x| 1 dx -1

A:

Q: Estimate (2x – 5) dx using right endpoints for n = 3 approximating rectangles. (2x – 5) dx is…

A: We have to estimate the , ∫15(2x-5)dx using right end points for n=3

Q: integral of 7e7x dx

A: Evaluate the given integral as follows.

Q: S In 5x dx

A: Using integration by parts:6. ∫x2.e2xdx8. ∫ln 5x dx10. ∫x2cos x dx

Q: 13. Integral √x dx

A: Here we have to find the integral.

Q: Find the most general antiderivative. dx x2

A:

Q: Find the most general antiderivative or indefinite integral. dx

A:

Q: S(歳)dx 2

A:

Q: 1 Integrate | tanhx dx

A:

Q: (ii) Integrate the following function by the method of integration by parts: fx* In x dx

A: Details solution is given below :

Q: Differentiate y = In(cosh x) + 2 cosh x O a. sechx (1 cosh O b. cosh x cosh a 2 O c. sinh x с. cosh…

A:

Q: linear a approx Imation differential's to estimate Ja6.96

A: let ,

Q: Q3) Reversing the order of integration 2 y² sinxy dy dx

A: Explanation of the solution is given below...

Q: Integral from 1 to e of 5t^2 lnt dt

A:

Q: Evaluate (indefinite integral) (4x^2.5 - x^e - 2sinx)dx (t^3 + 5t^2 - 4)/ (t^2) dt

A:

Q: Make an octave code to integrate ex with respect to dx from 0 to 1, by Simpson’s ⅓ rule. Divide the…

A: Equation is f(x)=exThe value of the table for x and y x 0 0.25 0.5 0.75 1 y 1 1.284 1.6487…

Q: 10 Describe a first step in integrating /2 dx. - 4x + 5

A: Given: ∫10x2-4x+5dx Step 1: Taking the constant term outside

Q: Find the indefinite integral. (Use C for the constant of integration.) dz zV 49z2 - 9

A:

Q: In 2x dx 3.

A: We have to find solution

Q: Find the indefinite integral using the Chain Rule/U-substitution. 6x dx x2+5 3. 4. S 7xv3x² + 8 dx

A:

Q: 8. dx +x2 Integrate:

A:

Q: ne differential en y(3) =

A:

Q: 2. se integration by pacts to eval integralig x² In (3x)dx niz

A:

Q: (b) YOUR TURN 4 Find dx. Vx f(x) deriv for in

A:

Q: Estimate the value of integral 3 to 1 dx/x

A: Given,  ∫131xdx

Q: Evaluate the definity integral  from 0-4 (x-3)(x-5)dx

A: Evaluate the integral ∫04x-3x-5 dx.

Q: Let y1, y2,.., y10 be a random sample from an exponential pdf with unknown parameter A. Find the…

A: Given: y1,y2,......,y10 is a random sample from an exponential pdf with unknown parameter λ. It is…

Q: 13. Explain the connection between the chain rule for dif- ferentiation and the method of…

A: The chain rule of differentiation is given by

Q: Evaluate e" dydx by reversing the order of integration. x/3)

A: A detailed solution is given below.

Q: Sx* (4 – x)* dx

A:

Q: Sulve the dffeanlial equalion ly). clox Ylx)=16

A: Given:     dydx+y=16

Q: A right circular cylinder was measured and the dimensions were found to be r = 15 cm and h = 7 cm.…

A: Use the values of r, h to calculate the volume, V . Use the values of r , h, dr, dh to calculate the…

Q: integral In x 2 dx

A:

Q: integral of (2y-3x)dy and integral of (2x-3y)dx

A: We have to find the integrals of (2y-3x)dy and (2x-3y)dx seperately. Recall that the integration of…

Q: Let y = 5(square root x) Find the change in y. Delta-y when x = 5 and delta-x = 0.1 Find the…

A: The given function is y=5x. We need to find ∆y when x=5 and ∆x=0.1. Also, to find dy when x=5 and…

Q: 34. e4x cos 2x dx

A: Solution:Given∫ e4x cos 2x dxFormula:∫udv=uv-∫vdu∫sin ax dx=-cos axa+C∫cos ax dx=-sin axa+C∫eax…

Q: 3. Estimate the value of the integral 1 dx (n = 4) using Trapezoidal rule. 1+ln x

A: The value of h in the trapezoidal rule is h = b-anh = 5-34h = 24h = 0.5 Form a table with the x…

Q: integral In(2x +1) dx

A: Given To Evaluate ∫ln(2x+1)dx

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.