x+y y² +1 #2) (x + tany)dx +- -dy = 0.

Q: Given 3x²-5y³ = 4x² + y² - 7 find dy dx and d² dx² y at the point

A:

Q: 14) fx In(4x) dx

A:

Q: Find 이승 dy dx y=3(secx + tan x)(secx- tan x) 11 ***

A:

Q: Vỹ + }xy¬2/3 dy dx

A:

Q: (2x+5) -xp 13/2 3-4x - 4x?

A: We know tan(sin-1x)=x1-x2 Here we break the integral into two parts then integrate each part…

Q: y" cot x + (cotx) In (sinx). Show that Cscx %3D 2y - 3 cotx. %3D

A: given function :y= cotx+(cotx)lnsinx

Q: x° + x2 + 1 (c) dx. x3 – x2 +2x - 2 arctan x (d) x2

A:

Q: Vỹ - 2 dy (b). / ž r64 7. Evaluate (a). tan(4x + 9) dx

A: Given: To evaluate a) ∫164y-2y3dy                     b) ∫13tan(4x+9) dx

Q: tan dy| 2 Find dxlx=7 for the equation y = (Vx + 1) 2.

A:

Q: Can there be a curve satisfying the following conditions? d2y/dx2 is everywhere equal to zero and,…

A: To check: The curve satisfying the given condition or not.Explanation:

Q: compute (x2 - 8x +20) dx on the interval (0,1)

A: To evaluate the given definite integral over the open interval (0,1)