gA y = 2sgn(x+2) san • %3D

Q: Evaluate:

A:

Q: S sec*x csc*x dx

A:

Q: dx dw x'V4-8x (25 + w* } 2.5 V16-9x2 dp- dx 2х (6x -x²)"* 3/2 2. dx 3.5 (5– 4x²)"a 3/2

A: integration

Q: STox -x* dx 2.

A: To Evaluate: ∫6x-x2dx

Q: S- VE + 4) dx b)

A: We have to evaluate given integration ∫5x4-x5+4dx

Q: 3x +2 J. - dx. (x² +9)(x– 4)x 10. Find the principal value of

A:

Q: (4x3-6х) dx 3. S x*-3x²+2

A: ∫4x3-6xx4-3x2+2dx we know that∫f'(x)f(x)dx = ln|f(x)| +cf'(x) =4x3-6x , f(x)=x4-3x2+2

Q: 1) f3x* dx +x dx 3) fxva² +I dx

A: We know that, ∫ xn dx = [( xn+1 )/( n+1 )] + C

Q: (4) fxe-x dx

A: Given: ∫xe-xdx

Q: 2. S (3x- 12) x'dx (3х I dx 2.

A:

Q: 1. f³₂ (x² − 3) dx -2

A: Given: ∫-23x2-3dx The limit definition of a definite integral is ∫abf(x)dx=limn→∞∑i=1nfciΔxi.…

Q: S(-5)'r dx 6x-9 2. Í dx x-3x+5 1.

A: ACCORDING TO THE GUIDELINES WE ARE INSTRUCTED TO ANSWER ONLY ONE QUESTION OR 2 SUB- QUESTION, THE…

Q: (iv) S х2 +3х-1 dx x3-1

A:

Q: x-3 5). S dx

A:

Q: S- 5e2*dx 9e 4x - 6e2+1

A:

Q: What values of a and b maximize the value of (x-x²) dx.

A: Find your answer below

Q: cosh 3x-1 S - dx 2

A:

Q: e4z+1 dx e2r – 1 17.

A:

Q: S 2x-1|dx

A:

Q: dx J-16x 398. dx x|/4x* -16 402.

A:

Q: Sezx(1 + e-2*)dx

A:

Q: 2 S (x² – 4| – |æ – 1)) dæ - 4| – |x – 1|) dx -2

A: Definite integration

Q: V- 2 dx +1)

A:

Q: Solve equation for x. e-x = 1

A: Given equation is e-x=1 To solve the equation for x. Solution: Equation is e-x=1. Taking logarithm…

Q: f(x)=4e+ sec x – 2x° +27x

A: topic-derivative of a function  note-As per our guidelines i  supposed to do only first question…

Q: 3 d. S16 – 3x| dx 1

A: We have to solve given problem:

Q: 7) | sec x. dx

A: Given:       ∫ sec5x dx

Q: dx (4) | J - Va

A:

Q: 3. S**dx х2-1

A:

Q: dx S- x4 - 1

A:

Q: 2. 5x - 2 (x + 3)² S dx.

A:

Q: csch- x dx , 0 < x < 1

A:

Q: 2 S. x*- 4x +4 dx (メ-2)(x4) |

A: Solution: Consider the given integral is: I = ∫x2-4x+4(x-2)(x2+4)dxI = ∫x-22(x-2)(x2+4)dxI =…

Q: 1. x-2 dx 2. Vx dx Solution: Solution:

A:

Q: 3- x 3) dx → S2xe* dx

A: To evaluate the given integrals.

Q: glx)=Dx-4 X+9 g(xth)3D/

A:

Q: cosh x dx е e- 2х

A: Given integral is ∫coshxe-2xdx

Q: -4 (1x|+x-2|) dx -1

A: To find: The integral ∫-14x-x-2dx. Concept used: The absolute function fx=x: fx=x,    x≥0-x, x&lt;0…

Q: (x + 5) dx V4 - x2

A: This question can be solved using integration by substitution and using the formula of some special…

Q: dx 1) S- x2-2x+1

A: As per the guidelines we can only solve one question post other question seperately. Formula used  ∫…

Q: 6. S (2x+3) dx (x2+3x-6)9

A:

Q: 6) x*dx_ .2 S2x-x

A: # we are entitled to solve one question at a time, please resubmit the other question if you wish to…

Q: SV+1.(*+2x² + x)dx

A: Please see the explanation below

Q: sec x dx 5.

A:

Q: s e8*(x³ + x²)sec² (x*e3* + 1) dx

A:

Q: S(4 csc" x-1)dx х-

A:

Q: 5 S Ix² x- 6|dx -5

A: The given integral,            ∫-55x2-x-6dx

Q: Find (x + 2)e3* dx

A:

Q: e6x (a) : dx 4+ e6x (b) /: dx 4+ e6x 3 (с) dx V4– x2

A: Since you have posted multiple questions i can answer first three as per our company guidelines…

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.