cos4t-cos2t 12. F(t) = %3D t

Q: sec x dx

A: We will evaluate the given integral as shown below we will apply reduction formula to solve the…

Q: I-fp y 3 dy For the function y = f(x) = x² – 4x - 2, a > 2, find | (1)(3) =

A: An inverse function or an anti function is defined as a function, which can reverse into another…

Q: Differentiate the function. y = V 3x2 + 8x + 1 dy dx

A:

Q: Find F′(x).

A: We know that, ddx1x=-1x2 Also, ddxaf(x)=addx(f(x)) where a is a constant.

Q: x -Jx-15 = 3 Salvethe equation

A: We have to solve the equation                                              x-x-15=3

Q: d (7) Vtan²s+ 21 dt = dx

A: Explanation of the answer is as follows

Q: Determine and distinguish the stationary values of the function f(x, y} = x² – 6x² – 8y². -

A: We need to find the stationary value of f(x,y)=x3-6x2-8y2   For that first we need to find the value…

Q: Find the y sec! (+) %3D

A:

Q: S2 cost dt

A:

Q: Solve (x – y)dx + xdy = 0.

A:

Q: d/dx secxcosx

A:

Q: Differentiate the function. 이 y=(3x-2) (4-x)4 dy 口 dx

A: To differentiate the following function.

Q: If y = (In x + 1)(2x³ – 3x), then will be dx

A: Differentiate wrt x

Q: x+1 Evaluate f dx using the substitution u = 3x - 2 %3D V3x-2

A: The detailed solution is as follows below:

Q: Find and classify the relative extrema ef the tollowing function: f(t)= 2t-12t +4

A: We use application of derivatives.

Q: dy If x = 3t2, y = t³ then %3D dx II

A: Here we find out the dy/dx

Q: Differentiate the function. y= (5x- 1) (1-x°) dy %3D dx

A: Given that the function is      y = (5x-1)2(1-x3)4

Q: sec²x dx V 5 - sec2x

A: Given that the integral  I = ∫sec2x5-sec2xdx let sec2 x = tan2x + 1 I = ∫sec2x5-tan2x+1dxI =…

Q: 24 - dx /3- 4x (х + 1) 3.

A: Given that:

Q: хр %3D S + X хр Find at (-7, 1) if xy: %3D (Rou

A: We have to find dy/dx   at (-7, 1)

Q: dx X+1

A: Use substitution method

Q: Evalutes x sinx dx x²+2x+2

A:

Q: fly(x)) c? Vx U= x)こ

A: y=e3x U=g(x) y=f(U)

Q: Y(3x*2)dx + x (1-2y) dy-0

A:

Q: D²y+y=tanx

A:

Q: dx x(2x+1)

A: The given integral

Q: - Trig Sub 1 dx V9 – x²

A:

Q: a51 - Find ax2@y3 if f(x,y)-x.e z

A:

Q: Vi-F dy dx -1 Jo

A: To evaluate the given integral: ∫-11∫01-x2dy dx

Q: I3D Find y in terms of x. dy passing through (2,5). dx Vx² - 8x + 16

A:

Q: V5 sin(0) = %D 5.

A:

Q: dx dx + e dr OI= +0 dx + 16

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.