Integrate Jsin2xcos 3xdx

Q: If MZLMP = (5x - 19)' and MZLNP = (2x + 11)', find mPL. %3D

A: Theorem1:- The angle subtended by an arc of a circle at its center is twice the angle it subtends…

Q: Calculate û x ô if û = ĵ + 2k and û = -i - ĵ + k. %3D

A: Topic = Vector   if u→ =a1i+a2j+a3k and v→ =b1i+b2j+b3kthenu→×v→=ijka1a2a3b1b2b3

Q: Find the residues

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Q: Calculate: fx²e³dx

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Q: х, + 2х, — 3х, %3D9 3x3 = 9 2х X, + x3 = 0 4x1 X, + x, = 4

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Q: Calculate du:    u = 2x4 + 8x−1

A: Differentiation of the given function helps to find the required derivative du. Apply the…

Q: Write out the addition and multiplication tables for Z4.

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Q: 10dz 4z³-4z²+5z

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Q: fxVx+ 6dx

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Q: 3+14x dx3D V3 14x

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Q: In Z3, calculate 2 + 2 + 1 + 2.

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Q: Integrate: S xdx 9+x4

A: Topic - Indefinite integral

Q: Integrate ∫lnxdx.

A: Let us assume u and dv

Q: R ABAC - AQSR

A: Given,    1.                     2.

Q: . Evaluate JVy³ + 1 dydx

A: Given,          ∫01∫x1y3+1dydx

Q: 1) V29 2) Vr12 3) V16x7y5 x100 50 7) V y200 4) V(3x – 2)8 (Зх — 5) V25(x + 2)2 8) V32y725

A: Simplification

Q: Write GCD of 5555 and 99999 as a linear combination of 5555 and 99999 9= 1x 99999+18x5555 44446 x…

A: To write  GCD of 5555 and 99999 as a linear combination of 5555 and 99999

Q: SV4 – x²dx

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Q: Use the substitution method to evaluate V1-22dx

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Q: Exercise 3 ry" + 2y' = 0

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Q: Define the term linear combination.

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Q: Verify that x² +1 = (x² + v2x + 1)(x² – V2x + 1). %3D

A: **Since you have asked to solve question no. 42, you will solve that question.Question 42.We need to…

Q: Evaluate , (Inx)³dx. 1

A: Given: ∫1e(lnx)3dx Apply integration by parts. ∫1elnx3=xln3(x)-∫3ln2(x)dx1e

Q: ドoy そ+| 4x

A:

Q: Find Зе 3e3ay

A: Partial derivative with respect to x means treat y constant.

Q: Find Cov(2X,2Y)

A: Here, x y P(x,y) xy.P(x,y) 1 3 0.14 0.42 1 4 0.13 0.52 1 5 0.24 1.2 1 6 0.17 1.02 2 3…

Q: Vrit

A: In the △DEF we get, EFDF=sin45°⇒EF10=12⇒EF=102⇒EF=52 Also in the △DEF we get,…

Q: 3 X, 4. хе xe-4xdx 5.

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Q: uad ecor

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Q: ,2 Vx3 + 2dx

A: Consider the given: ∫ x2x3+2dxApply u-substitution:u=x3+2∫ x2x3+2dx=∫u3du=13⋅∫udu=13⋅∫…

Q: ら (osx+3sinx= 3

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find mZV. (2r + 29)° (10x-27) mZV = %3D

A: The Sum of two angles of a parallelogram is 180 degree 10x-27+2x+29=180 Combine the common terms…

Q: AP v* v Cx-1)+) V

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Q: Sx³e*/2dx

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Q: Integrate √3y-7dy

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Q: S 4x²+1

A: Find the integral by using substitution method

Q: 4. Sdx V1-x²

A: We have to check

Q: a 2sin2x-3sinx +1 = in

A: Here, we need to find the exact solution from the trigonometric equation. In solution first, we use…

Q: 1. fxv2x+ ldx ans : 능(2x +1)-1(2x + 1) +c 2. Cilt- 4dt

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: Determine (16-9t2) dt

A: To find: ∫16-9t2dt

Q: xV4x²-1

A: Let u=4x2-1 . Now differentiate this equation using power rule of differentiation ddx(xn)=nxn-1 and…

Q: Vx3-1dx

A: To integrate

Q: Find a polynomial interpolation to data (-1, 0), (0, 0), (1, 0), (2, 6) using Vandermonde method

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Q: Find the DFT of [1, 2, 0].

A: Given that the seqence  x(n)=[1,2.0] To find DFT of x(n)

Q: Define linear combination?

A: Definition of  linear combination is given by

Q: +3y = shx %3D *2

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Q: 1 of

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Q: Determine div F, ii. VX F,

A:

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related. 

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.