L3) Solve for the zeros of the function: y = 6 sin( (x + )) + 3 %3D

Q: Q2: simplifying the following equation we get: * * In(y-1)-In(y+1) = In(sin(x))? %3D

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Q: a²f ô²f Ôy 1. If f(x,y)= e¯* sin y then find .2

A: Using differentiation ,

Q: dx (by trigonometric substitution) J 8+2x2

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Q: Q2// B :- Find y' if x+y*=6xy sin(x)

A: Solution:

Q: If 8 (x) = | sinx dx and g| |=3, then g (0) is equal to A 2 -2 D 4 B.

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Q2. (b) Given that y =. a sin(ln x) solves r²y" – xy + 2y = 0, determine the general solution.

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Q: Solve the equation y' + 3y = 10 sint, when y(0) two decimal place number. 0. Evaluate f (1) in

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Q: b) S2 sec (nx) dx

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Q: Next Que dy Find by differentiating implicitly. When applicable, express the result in terms of x…

A: We will solve the following

Q: Q1: Find dy/dx for the following functions (solve four only):-

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Q: Using undeterminate coefficien ts, Solve : d'y _q dy =9 e + 82* dx 3 3X 3 dx

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Q: cost, y = sint, at the point where t 0 ≤t≤ 2π -O?! =

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Q: 300 Mr. Santos wants to acquire a lot 300TT meters wide and with length bounded from 300 the road to…

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Q: dx |(x2 + a²)² 1 Answer: 2a3 ах arctan () + C x2+a?.

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Q: y = x^Arctan *(x4)

A: We have to solve derivative

Q: х —1 dx 2.

A: We have to evaluate the integral ∫x-1x2+xdx

Q: dx x2 — 2х — 4

A: I=∫dxx2-2x-4=∫dxx2-2x+1-5=∫dx(x-1)2-52

Q: Q2: Solve xdy cosx + 3y = ,y(1) = 1.017 dx x2

A: As per our company guidelines we are supposed to answer only one question. Kindly repost other…

Q: 7x – 21 Find ,where y = x +1 Enter the exact answer. dx

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Q: Q2) Solve the D.E x²dy + (3xy- 1)dx 0 %3D

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Q: Solve the equation using Variation of Parameters (D² + 1) y = tan x

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Q: For dx + 4y = tan 2x solving by variation of parameters. The value of W(y1y2) is Select the correct…

A: The solution for the above question is as shown below.

Q: Solve by integrating factor by inspection: * 2 ydx — 3хy? dx — хӑу %3D 0

A: Explanation of the answer is as follows

Q: 2x-1 dy if y=f and f(x)=sinx²,find X

A: see 2nd step

Q: dy Solve the equation by Separating the Variables: xy+ 1) + (x - 1): dx Scanned with CamScanner

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Q: cle" cos V3r -r'e"} 21

A: For functions ft, gt and constants a, b, c:L{a·f(t)+b·g(t)}=a·L{f(t)}+b·L{g(t)} L{tneat} =…

Q: 7. S sec' x dx

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Q: S sec*xtanx dx

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Q: dx (x+1)(X'+9) 2. Find Solution.

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Q: sin xdx is О а. л 4 O b. 3 O d. 6

A: Integration and trigonometric identity.

Q: D. Eliminate the arbitrary constant C. 5. y'sinx-2x'y'= Cy?

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Q: Q5) show that the following equation is exact and solve it. ylnx?dy +dx - = 1 xlny?dx +dy

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Q: - Trig Sub 1 dx V9 – x²

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Q: 4. g(x) = 9 g'(x) = 9 5. y = 3x + m y'= 6.14

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Q: Use the method of variation of parameters to solve. y" + 4y = 8 tan t - "/2<t<"/2

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Q: Solve y" – 4y' + 5y = e*cosec x by method of variation of the parameter? %3D

A: Given that, the differential equation is y''-4y'+5y=excosecx. The auxiliary equation is m2-4m+5=0.…

Q: b. Solve for x: sin(x) = for x E [-II, 211] %3D

A: Using sine wave graph we can find it easily

Q: (xy? -sin 2x) dx + (x²y – y)dy = 0 Solve

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Q: I cos Z Be sure to answer as a fraction in lowest terms. 12 15 X.

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Q: Solve t-r sec'y= 2g tan y,

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Q: Evaluate f dx (x²+4)²

A: Given problem:-

Q: 3. tan(xy) + xy = 0

A: Since, the student has clearly mentioned to solve question number (3), so we are solving only…

Q: f(x) = e=*(x² – 5x + 2)

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Q: Solve the IVP d'y = 4sec 2x tan 2x, y' (0) = 4, y(0) =-1 dx2

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Q: x² – 4 Find the antiderivative using Trigonometric Substitution. -

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Q: ds/dt+s/t=cost+sint/t solve using linear equation diff eq

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Q: Express cos J as a fraction in simplest terms. 40 L. K 6.

A: The given triangle is

Q: Find the general solution of nx dx = (x + 1)² ylnx

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.