2) + (2x tan-" y – x³)(1+ y²) = 0 Ans: tan-y=(x² + 1) + ce-*²

Q: 1//2 x8 Evaluate: sin" (1-2x')+ cos" (2axvi-x")} dx. 2x²)+cos* 1-x4 -1/V2

A:

Q: sin 0 cos Od0 -u'du FC = - 1 cos“ 0 + C 19.

A:

Q: 6. sec (sin-1 x)

A: Interconversion

Q: S sin (2x – 1)cos (2x-1)dx (2х - 1)dx

A:

Q: S 1 dx = (x² + 1)(1 – sec(tan-1 x)) Select one: а. 1 -x + (sin(cos-1x)) b. 1 -tan(cot-1x) +…

A: Hence option (d) is correct .

Q: Find of an

A: We are asked to find y'

Q: (b) S tan3 x sec² x dx c) S sin³x cos5 x dx

A: The explanation of the solution is :

Q: 2 + sin x Differentiate Y x + cos

A:

Q: tan(x+1) Find y' of y =

A: y=tanx+1x

Q: 6) y=-sin (3x) - 1

A: 6. The given function y=-sin3πx-1. We have to sketch the graph of the function and find its domain…

Q: |tan' x.sec x.dr = tan x +C %3D

A: This question is based on indefinite integral.

Q: 4. sin2xcosx + sin x 1 xE[-27, Zn]

A:

Q: sec (2x) dx (tan 2x-4)"

A: We have  ∫sec2(2x)tan2x-43dxLet  tan2x=u    diff. w.r.t x we get2sec2(2x)= dudx sec2(2x)dx=12du now…

Q: T/4 (b) 4 sec (0) tan(0)dө.

A: Answer is- 4(√2-1) Explanation is given below...

Q: Wouldn't tan(x+pi)-(-sin(x)) yield tan(x+pi) + sin(x)) instead of tan(x+pi) - sin(x))?

A: Yes , there is a mistake on that question. I give u correct solution .  tan(x + π) - cos( x + (π/2))…

Q: u) sec(2-x)tan(2-x)dx

A: To evaluate ∫sec2-xtan2-xdx

Q: Find y' where y where y = 10 sin-1 (cos (21 z)) - tan C BARANG (18 r)

A: Given: Now,             y'=10arcsincos21x-arctan18x'     =10arcsincos21x' -arctan18x'…

Q: 5. 4 (secx-1)(sec² x+secx+1) Sª cos² 2x-2 cos 2x+1 -dx

A: Indefinite integral is the process through which one can determine the function which on…

Q: B/ Find the value of 1. tan+e O 1 2 dx 2. tante

A:

Q: Differentiate: y = sec(5a- 3x) %3D O y' = - (1522 -3) sec(5r-3r) tan(5a-3r) %3D O y' = (152- 3) sec2…

A:

Q: 1+tanx b) 1-tanx = tan (x + ²)

A:

Q: a. GRAPH one correct (and correctly labeled) cycle of the given b. State the Domain and Range of the…

A: A function y=tanπx3. To Find: a) Sketch the graph of the function. b) Domain and range.

Q: e-32 sec(e-32) tan(e-³²)dz

A:

Q: 6. Find : (a) y = (x³ +5) tan 7x, %3D

A:

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.