∫(3t+t²)sin⁡(2t)dt

Q: (5x + 8)° H K J (7x – 16)° -

A: From the given rectangle GHJI

Q: f(x) = (13 + 6t² + 1) dt

A: SOLUTION-

Q: a-) I = c6 Vx²-9 dx 3 b-) S x In(x² + 1) dx

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: %3D x2+7 X2 +7 to flx1-メ= LtzX as xI oc ニ I + 7/x?

A:

Q: 218-x2 3/2 Ex-(7 Cメゴ) lydx

A: Given: ∫02∫x8-x2 x2-y232 dy dx

Q: у' %3D 2(2х — у) at (0, —1)

A:

Q: sec² (w) - -dw 4w2 +1 10.

A:

Q: The integrating factor of xInx +y=2lnx dx Select one: O a. In3x O b. C. . In2x d. Inx

A:

Q: How do you multiply

A: Given radical expression is,

Q: Sx) = 3r + 4x² f(x) : 4x - 2 44. f(x) %3D %3D

A:

Q: I (Inx)³ nx-X

A: Let u and v be the function of x  Then∫uvdx=u∫vdx-∫(dudx∫vdx)dx

Q: Q3. Evaluate f: 2*+1-5x-1 dx 10

A:

Q: 1) y = Vx -1

A: According to our guidelines we are suppose to do only one question . Kindly repost other question as…

Q: dx J-2 (5-4x-x²)/2

A:

Q: x3 dx J4- x4

A: ∫x3dx4-9x4Multiply & divide by -36 =-136∫-36x3dx4-9x4since, ∫f'(x)f(x)dx= 2f(x)

Q: f(x) = %3D 4 — т

A: We will approximate f(x) by the Taylor series. Taylor series of function fx at a is defined as:…

Q: xii. dx -x4 V3-2x-

A:

Q: runction ov 1 y=- -1, 0] x+2' A) -2 В) 0 D) C) 4.

A:

Q: y = f(x) %3D 10 8 4 -10 -8 -6 -4. -2 8 10 -2 -4 4) 2.

A: From the above figure we can conclude that f(-6)=-3.

Q: t- 2 dt t2+3t-18

A:

Q: 2t + 7 f(t) = t- 3 %3D h(n) = - 2n2-3n+1 %3D f(h(-1)) =

A: Here we have two functions f(t) and h(n), we want to find the value of f(h(—1)). To find f(h(—1)),…

Q: x²dx 1.J JA-x² V4-x²

A: We have to solve the given integral.

Q: 2dx 10. S 2x+3x+1 11. *-2x2-4)dx 3 x-2x2

A: 10.  Let I=∫01 2 dx2x2+3x+1 =∫01 2 dx2x2+2x+x+1=∫01 2 dx2x(x+1)+1(x+1)=2∫01 dx(x+1)(2x+1) Using…

Q: 6. y = ekx 7. f(x) = (6x2 + 7x)4 8. g(t) = (4t² - 3t + 2)-2 %3D %3D

A:

Q: Find the derivative of function.

A: Differentiation of the function with respect to x helps to find the derivative of the function.…

Q: (x2-3) Cx²+ 2) S dx J3xx3

A:

Q: Solve y(x)=1–2x–4x² +[3+6(x-1)-4(x-1)ʻ]y(t)dt it.

A:

Q: ) dt 5e + 1+ t2

A: Take the help from standard form of integration and simplify.

Q: V3/2 6. dt VI - 12 1/2 1 + Vx dx 64

A:

Q: 2x 5. F(x) = "(5t – 1) dt

A: Here, it is given that F(x)=∫x2x5t-1dt

Q: f(x) = (4e2x)3 3(4e2*)2(4e2x) 3D3(16e**)(4e2*) 192(e6x) %3D %3D %3D

A:

Q: 4x -4 dx a. b. dx 5-4x c. St Vtz +2 dt

A:

Q: 4-8y² (a) ſ dzdydx 0 0

A:

Q: dt 2 (t–1)(t²–1)²

A: By using partial fraction we can find the given integral

Q: d^x d³x db4 dx +3. -27d²x -62- -24x=0 db³ db² db

A: We are given linear differential equation of order 4. 2d4x/db4 +3d3x/db3 -27d2x/db2-62dx/db-24x=0…

Q: the y-intetcept of the line. y=-3.9x-3.6

A: Given that  Line equation  y=-3.9x-3.6    We know that  General line equation  y= mx + c Here m=…

Q: F(x) = 7. (2t – 1)° dt

A:

Q: d^x 2: +3. db4 3d ³ x db³ d²x -62 dx - 24x=0 db 27. db²

A:

Q: 2x + 1 -de J (3x – 1) (x² + 2x + 2) Evaluate:

A: Given: I=∫2x+1(3x−1)(x2+2x+2)dx

Q: d³r dz +t- dt3 (c) 4tx = 0 %3D dt

A: The solution is given as

Q: Jо 2x2+3х+1 2dx 1 -4 (х3 —2х2-4)dx х3—2x2

A: We will solve it by using partial fractions method.

Q: J1 (3x -1)3 * tvt2 +1 dt

A:

Q: dx1 -4x1 + 2x2 X(0) = | 2| dt dx2 + 2x2 dt II II

A:

Q: f(X) = %3D Vx-2

A:

Q: Sketch Z= 2x^2+3y^2

A: To sketch: Z=2x2+3y2.

Q: 2s -5t f(s,t) = %3D 4s +t %3D f =

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 91 182x-x2 9V x²+y² dydx %3D

A: Here we solve double integration problem.

Q: 8. f(x) = (2x³ + 9x)³ 9. s(t) = (5ª +2)(t² – 1)3/2 %3D

A:

Q: 2) J (2x2 - 6x) dx B) - x3 - 3x2 +C + C D)를3-3x2+C + 3x + C

A: Here is the problem of integration  ∫( 2x² - 6x)dx  2x³/3 - 6x²/2 + C  2x³/3 - 3x² + C  So D is…

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.