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Q: Draw a picture that shows the difference between dy and ∆y.

A: We know that, Δy is the exact change in y-values. dy is the approximate change in y-values by using…

Q: a²0 sin(0) do 2e va? + x²•2ax cos( os(8)

A: We know, Integrate by parts: ∫fg'=fg-∫f'g We have     The complete elliptic integral of the second…

Q: Integrate the following expressions: Sex-e (2x – e*). dx !! (x + cos2x). dx "/2 X cos2x.dx

A:

Q: (2xy-3x²) dx + (x ² + 2y) dy = 0

A: As we know that; The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. The solution…

Q: Find y′′, if y=xx.

A:

Q: Evaluate . (6r –10)e*dx

A:

Q: Find dyldx for the following xVx² + 1 In y = ln (x + 1)3

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Q: S S, 4cosx² dx dy

A:

Q: Help

A: Given,

Q: ey/x dxdy o y

A: I have solved by changin

Q: Find the following

A: Integration of the function f(x)=32x can be done with the formula of integration of a constant with…

Q: Let Eind the change in y, Ay when x=1 and lox= 0.2

A: To calculate the change in y

Q: | Aut (Z561)| =

A: We have to fin the cardinality of  Aut(Z561) that is  | Aut(Z561)|.   Result used (1)      ϕ(p×q×r)…

Q: 1- fº, SÉ, x² e*Ydxdy 2

A:

Q: ) If x and y vary inversely, and x = 8 when y = 1/4, what is y when x = -4?

A:

Q: 3. Evaluate J,?-6x+5 1 dx if it exists. |

A:

Q: To the left of z= 0

A: We have to find   the left of z= 0

Q: Find zα/2 for α=0.19.

A: Given: α=0.19

Q: Find the IA X+ 1 X-1 A: X- 1 1- X.

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Q: EIMD AMP dy OF x= VI-t AMP dx

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Q: re? e3 1 dx dy dz xyz

A:

Q: 2. Consider the model: Y, =0.2Y+e,+0.4e. Find the autocorrelation function p, for k=1,2,3.

A: We are required to find autocorrelation function(acf) of an ARMA model.

Q: X and y vary inversely. The corresponding graph passes through (5,1)

A:

Q: 3 2x y°e*dydx

A: To Evaluate the integral given below:-I=∫02∫04[y3e2x]dy dx-(i)Computing the definite…