dy 1-5e + y cot x 5e", with y(z/2) =-4. Cos 7) %3D Ans.: y = dx sin x

Q: Given arccot(sin(2x + y)) + arctan(cos(2x + y)) = 0, solve for dx %3D dy

A:

Q: 1. Given y= [In(3x² +8)] dy find tan(6x) dx

A:

Q: 1 + cos x – 2xy): fip y(y + sin x), y(0) = 1. COS I 1+ y? dx

A: To solve the given exact differential equation.

Q: (p² –1)cos[cosh (In r)]dr

A: In this question, we need to find the integral.

Q: :? If sin(x +y) = xy, what is the correct expression for dx cos(x+y) - y x- cos(x+ y) A cos(x + y) -…

A: for this problem, we can solve this by using general implicit  differntiation.

Q: dy -is: then dx cos. cos x Q21. If y = tan 1+sin x

A:

Q: dy of the following. dx A. Find 1. y = (sin* x²)[sec(Sin-1 x²)]

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: dy dx 1+8sin ?x 1 Given tan(3y)=3 tan x . Show clearly that

A: As we know that; The chain rule: fgx'=f'gx·g'x   The trigonometric identities; 1). tanx=sinxcosx 2).…

Q: If y = atan (0) „x =a sec (0) prove or disprove d'y 3 cot(0) 4a dx

A: y =a tan3θ   ,   x = a sec2θ     'y' is a function of 'θ' and 'x' is also      a function of…

Q: H 2= x? tan y/ at (lo1) %3D Ex by

A:

Q: Given dy find 36 Cos 6x y' dx sin 6x + c 6 sin 6x + c O-6 sin 6x O-36 sin 6x

A: here option a is true.

Q: a) (sinx + cos 2x)dx (+1) do b) S dx c) S (x+2)(x2-6x+5) 8 cot(In 8)

A:

Q: + b¬ + cx = 0 dt lution given by: - (A sin ßx + B cos ß.

A:

Q: (b) S¤(tan? #)dx (c) S cos(2t)e'dt (d*) S(arccos x)²dx (e*) S (1+ 3x)2 dx Hint: Check for a similar…

A:

Q: S V sin(y) × cos*(y)dx × cos° 3 х COS

A:

Q: tanr sec r dx 3

A: Here we will find the antidarive.

Q: dy d'y dx ' dx? 2. If y = sin 2x – 2 cos 3x,the find, at x 0

A: The given function isy=sin2x-2cos3xto finddydx, d2ydx2    at x=0

Q: S*r(sin³x cos x + sin x cos x) dx -- 4 Ja sin 50 de

A:

Q: The coefficient of sin(x) in the antiderivative of Flx)=(cos() is 15/32 (use fraction form not…

A:

Q: Given the following DE (cos 2y – 3x?y?)dx + (cos 2y – 2x sin 2y – 2xy)dy = 0 -

A:

Q: If z=In/x2+y2 +- tan 2 then the numerical value of + is equal to..... dy? dx

A:

Q: TT/2 S,"/e cos?x.sint x dx in tegralinin bulunvz sonucunu

A:

Q: dy If x = a (0 – sin 0), y= a (1– cos 0), then find dx |

A: Introduction :

Q: du = 3 and dx dy = cos u, find the du dy Given y = sin(3x – 2). If dx 3 cos(2x) 3 cos(3x) 3 cos(3x –…

A: Topic:- derivatives

Q: dy cos?x = -(tan x)y ;y(0) = -1 b) Solve %3D dx

A: Given that: dydx-cos2x=-(tanx)y; y(0)=-1

Q: If x = sin2 (u) and y = cos² (u), then dy is : dx а. 1 b. cot(x) C. tan(x) d. 1-

A: Differenriate

Q: w= Cos (x+y) + Sin (X-4) Show that dy?

A:

Q: dy of the following. dx A. Find cot (1-x)+tan(1-х) sin? 4x 2. у %3 sec(1-x) 1+2 cos 4x+cos² 4x 3. y…

A:

Q: a)- Find for, (x+ y)* = tan-14× + T* + InIny dy dx

A: To find dy/dx.

Q: 6 3 oy sin (a? + 3²) dædy Find

A:

Q: Find dy/dx in the following: -1 2. Y= cos cot x

A: The given function is: y=cos-1cotx           From the property of inverse trigonometric function, we…

Q: (z*sin - 2° cos 2y cos r2 y? dr+2xy cos ,dy = 0.

A:

Q: dy of the following. dx A. Find 4. x cos y = sin(x – y)

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: 4. J e3x cot e3x dx. 5. J dx/cos?x. dx 6. S sin? * 2

A:

Q: 1) x cos?y dx + tan y dy = 0

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: ∫sin^6 y cos^4 y dy, limits from 0 to pi/2

A: Consider the definite integral ∫0π/2sin6y cos4y dy to solve this integral, use the below reduction…

Q: Let y = cosh(ina²) then find y'. Oa. sinh (2a.tra) -1 Ob. O b. O c. - sính(Inz²). 2 O d. - sónh(2a.…

A:

Q: 1. Find for, (x + y)* = tan-14x + T* dx InIny

A:

Q: at (x = })? dy Csc(3x) Sin(3x) + Cos(x), Find Let y =

A: The given function is: y=csc(3x)sin(3x)+cos(x)  =csc2(3x)+cos(x) To find the derivative of it:…

Q: Find the distance traveled by a particle with position (x, y) as t varies in the given time…

A:

Q: a) cos(xy)=2y, find y' DI y = cot-1 1+x 1-x

A:

Q: Find the value of dw / ds at s = 0 if w = sin (e√r) and r = 3sin (s + π/6).

A: w=siner,  r=3sins+π6 Differentiating w=siner with respect to r, we get…

Q: 22. Find the value of arcsine ( 2x + y ) given that TT sin-( 4x + 3y ) = 2 cos ( x + y ) = . TT and…

A:

Q: cos(xy) + sin(x/y) = 2y find dy/dx at point (pi,1)

A:

Q: If y= cot"+ tan-1x?), then dy dx x2 Select one: 2х + 1+x*' 1-x4 2x O a. 2x O b. 1+x' 1+x? 2x Oc. 2x…

A: All given options are wrong. See the attachment

Q: 20.1 please provide all necessary solutions and explanations.

A:

Q: dx Given arccot(sin(2x + y)) + arctan(cos(2x + y)) = 0, solve for dy

A: We have to solve

Q: dy is let y = cos(In(cos(x))), then da

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…