Jige If f(2) =-3, g(2) =4, f' (2) =2, and g' (2) =, d. then dx -21 16 9. 16 -13 16 29 16 6 jp 3 Jiguull

Q: i '2/3

A: Given: i23 we know that amn=am1n

Q: exp(iz) = 1+ iV3.

A:

Q: Differentiate y = 3e2x/(1 + x2.)

A: y=3e2x1+x2

Q: 1. f4x-³ dx -3

A: Find the integral

Q: +*- 2x+ 2y = ? d²y +x2 dx2 dx3 %3D

A: In the question it is asked to solve the differential equation shown below.

Q: Evaluate ∫4x+5/(3x+2)(x+3)dx

A: Given Integral: ∫4x+53x+2x+3dx   To find: Evaluate the given function. Formula used: i) Partial…

Q: 16 (ii) 8. 25 mDAS

A:

Q: YA 7) 3 X+4 3 y>}x-1 2 432 -2 -1 -4 2 3 4 -2 -3 4 -5

A: The given inequality is: y≤-34x+4y>12x-1

Q: If (2,9)=, then f„- If f(x,y)

A:

Q: Зх +6 dx 2x2 + 8х + 3 (Inx)? dx 5. 6.

A:

Q: 192) Find la(21)=?

A: Note the logarithm property : logaxy=logax+logay where x,y>0 and a>0 ,a≠0 . logaan=n ; where…

Q: * Drive the following function for :(y) (5xy²z)²/³ * (sinxz) 20(sinxz) (xyz) 3(5xy²z)¹/3 A 10(sinxz)…

A:

Q: ii) ∫7x-25/(x-3)(x-4) dx

A: Given,          ∫7x-25x-3x-4dx

Q: 0 8x3-12x2+7x+2 Evaluate , dx =? -1 2х-2

A:

Q: find dp/ dq. sin q + cos q = cos q

A:

Q: 15. (12x) mAD = (2x +5) mBC = mDC = (17x - 14) MDBC = Sign out DELL ON *00 E.

A: As per guideline We have to solve one question  We have to find arc

Q: sCx²-(4x+d)" (2x-4)dx

A:

Q: ifferentiate the funtion y = 2 csc (1-3x)

A: Giveny=2cosec(1-3x)Aim: dydx

Q: - (x³-x²+2)dx x-1

A:

Q: 3 = 4- 2y + - dx

A: The differential equation is,   The figure below represents the vector field of the differential…

Q: Simplify (5x'yz)

A: Given, (5x3y-2z4)3

Q: 1 2 (2.) } ² dx 2 2 ²x + 4x + 5

A:

Q: dx x4 + 16 11. B. tan- () + C 1 A. 글 sin-1 () +C (푸) +C 4 C. 등 tan-1 (주) +C D. tan-" () +c 4

A:

Q: 6/T-9x dx

A: Here we have to integrate        ∫[(6√x - 9x)/x2] dx

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.