Use Gaussian Quadrature with 2 steps (n=2) to approximate -5 0.2 dx, xe' which of the following is the best possible error?

Q: |In? x – 4 ln x – 5| dx. Je-3

A: ∫e-31ln2x -4lnx -5xdxPut lnx = t ⇒1xdx = dt and limits will be from -3 to 0Also t2 - 4t -5 takes…

Q: x² dx %3D Use right endpoints and = 10 rectangles to find an approximation of

A: Given, Use the endpoints and n= 10 rectangles

Q: 1 x")dx

A: Use the following integration formulas: 1 ) Sum rule of integration 2 ) power rule of integration

Q: 12. If m/PSQ = (6x – 13)' and m/PQS = (x + 5)', find m/PQS.

A: In a triangle PQS,  Angle of SPQ=90 so, Angle PSQ + Angle PQS = 90 6x-13 + x+5 = 90 7x - 8 = 90  7x…

Q: the metrod of variation of parameters to Apply Solve my = Secnn dx2

A:

Q: (D²+1)y = Y = seC X CSCX

A: The given differential equation is      (D2+1)y=secxcscx the complimentary solution for the given…

Q: Use the variation of parameters to solve the following equation: d^2y/dx^2- 3 (dy/dx)+2y=cos⁡(e^-x)

A: I am attaching image so that you understand each and every step.

Q: Evaluate. 9- xp- dx%3D Evaluate. dx | dx = Evaluate. dx dx =

A: As per guideline we have to solve 1st 3 parts

Q: Show that D^2 = {(x, y) ∈ E^2: x^2+y^2 ≤ 1} ⊂ E^2 and the space containing a single point are…

A: In algebraic topology, two topological spaces are said to be homotopy equivalent if there exists a…

Q: ay-2y = x³ sec 2x = x' sec 2x dx

A: Given: xdydx-2y=x3sec2x

Q: = cos(x + y), when x = 0, y = " %3D

A:

Q: 6. Show that (an)neN C R is bounded if and only if lim supn→∞ an < +∞o.

A: To Prove:  ann is bounded sequence if and only if limsupan&lt;+∞.

Q: 7/12 16.r(sec 4.r) dr =?

A:

Q: Show that cosh (3x) = 4cosh³r - 3 cosh T.

A:

Q: /Sind d'y/dx³, when x=t²³ ++ and y=t³ +1

A:

Q: 9. у %3D 4sin' (2xх) 10.у %3D tan? (x3) 11.у %3D sec(-х2 + 3х — 4)3

A: Question 9,Given,          y=4sin32x

Q: how do I implicitly differentiate, (solve for ds/dt) where: sqrt(t+s) = 2s

A: firstly, we square the both sides.

Q: Find dy/dx for the Following!- secx 13x Cot 5x (2In 9x)

A: Find dydx of the following:y=lnx4secxtan-1e3x6cot5xe2ln9x

Q: 5. (1— ху)-?dx + [y? + x?(1 — ху)-?]dy %3D 0

A:

Q: d y' (-9 csc 3x cot 3x – 9 csc 3x) dx

A:

Q: dx X1メエ16 12

A: Given integral, ∫12x2 x2+16 dx

Q: y = 3Arcsin (2x³) -- Arccos(2x³)

A:

Q: sin“ (x)dx 4

A:

Q: L' The Midpoint Rule approximation for -3x - 5x²) dx with n = = 3 is:

A:

Q: 3 24) [(1 -x² )² dx

A: To evaluate the given integrals

Q: 6x V100–x* -dx 3D 4

A: