K = 3. L = -2 jSgĀ = (3, -2) .B= (4 , 3) jS 131 (4) KA +LB dg %3D %3D (1) A +B (2) KÀ (3) LB

Q: S (5x - 3x + 5) dx %3D

A: recall: ∫xndx=xn+1n+1+C

Q: Consider an object launched vertically upward from the top of a hill that is 144 ft above level with…

A: when the object reaches the maximum height it is about to free fall i.e., its velocity becomes…

Q: The assembly for this problem for model S is 0.4 and for model LX 0.5. Can you redo the problem with…

A: Given:Model S assembly time: 0.4 hoursModel LX assembly time: 0.5 hoursWe need to maximize the…

Q: -3 2. S x*Vx Vx²-9

A: Integration is the process of finding the anti-derivative function of the given function. The…

Q: Evaluate dy.

A: To find: The value of dy. Given: The value of y is 3x-72x+1; x=2 and ∆x=0.003. Formula used:…

Q: y = In(x + 2) at [-1,2]

A: The given problem is to find the interpolating polynomial for the given function within interval…

Q: 32 8y%dy y-15 2.

A: The given integral is,

Q: 3.2 (2x - y²) dxdy

A:

Q: Is it true that (42) = (4³)2? Explain how you know.

A:

Q: 2 (x-4) dx = (S %3D 2.

A: Given : The definite integral is ∫02 ( x - 4 )2 dx .

Q: (х + 2у — 4)dx — (2х + у — 5)dy %3D 0

A:

Q: M/2 z/w = /w W%3D

A:

Q: Compute if df = 2 and dx du dx = 6.

A: It is given that,

Q: Given, P(A or B) = 0.80, P(B') = 0.33 and P(A and B) = 0.20 Find P(A' and B)?

A: Solution-: P(A or B)=0.80, P(B')=0.33 and P(A and B)=0.20 We wan to find P(A' and B)=?

Q: dz Find if z = (8x +5y). dy dz dy %3D

A:

Q: y = 9(x – 1)(x+7) |

A: The given equation is   y=9(x-1)(x+7)   We have to multiply and solve this equation

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

A: Differentiate wrt x

Q: (3 In z + 2)4 dz Z

A: The given integral is (3 lnz +2)4/z.

Q: 19 45

A: Concept : for right angle triangle sin(θ) = lenght of opposite side for θhypotenuse of right angle…

Q: If y = 9csc²-x 3 O -18 csc2> 3 -6 csc²}x• 3

A: Given: y=9csc213x

Q: 22. を。 (w-13)% (w+ 10) 04

A: Given : Angles is given

Q: Find of/dx and dfldy. f(x,y)% 3 (3xy-1) of

A:

Q: how did you get the z a/2?

A: how did you get the z a/2?

Q: If y = 3(8 – y) and y(1) = 10 what is y(0)? %D y(0) = %3D

A:

Q: arg(z) = 1/4

A:

Q: gA y = 2sgn(x+2) san • %3D

A:

Q: 8x 5. S dx 2. 2. (4x +3)

A: ∫8x(4x2+3)23dx∫(4x2+3)-23 8x dxhere f(x) =4x2+3 , f'(x) =8x , n=-23∫f(x)nf'(x) dx= f(x)n+1n+1+c

Q: 5) Write the standard equation of the circle. -3 3x

A:

Q: 9x Cos (8x) dx qxcas()dx7u dv = %3D

A:

Q: (2siny + 1)dy : 4 and y(0) = 5. dx What is x when y = x?

A: Given:  2siny+1dydx=4, y0=π2 Using Variable separable  2siny+1dy=4dx Integrating both sides, we get…

Q: y = Vx – 2, y = x – 2 %3D

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.