If y= x tan-1x-In V1+x² then dy is dx A None of the given choices B x tan-lx cot-lx D x cot-x E tan-lx

Q: Q1: Find dy for the following a) y = tan-1(sinx) + In (sec2x) + 8tan5x + etn dx b) y = sec (x') +…

A:

Q: 1 |+tan¬(x), then x2 dy If y=cot-= dx

A:

Q: 5)(cos.x + 3x*y}dx+(x* - y³ kdy ifadesinin tam diferansiyel olup olmadığını gösteriniz. Tam…

A: The given differential equation is:cosx+3x2ydx+x3-y2dy=0         ..........(1)which is of the form…

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 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: Lind dy/dx Sin x 1- CosA 2. Sin n4 fos H Cos n

A:

Q: dy If y= ln(sec x), then dx O a. - cot x - O b. tan x cot x d. O d. – tan x

A:

Q: ddw? dt (C): If w = tan x and x = 4t³ + t ; Find

A:

Q: 1. cos?x sin x dy + (y cos³x – 1) dx = 0

A:

Q: e +1 dz ez + z dx (c) (e) 5x + 1 CT/2 (d) cos x sin(sin x) dx

A: Topic - definite integral

Q: dz and dy dz Suppose z is a function of x and y, and tan Vy² + x2 = 2"e®y_ Solve for

A:

Q: S sin x (1+ cos x) ecos *dx 2. S csc ³ () do 1.

A: 1) Given:       ∫sinx1+cosxecosx dx Integrate by parts:         ∫fg′=fg-∫f′g here  f=1+cosx→f'=-sinx…

Q: dz dz and dy Suppose z is a function of a and y, and tan Vy² + x² = z"e®y. Solve for

A:

Q: The general solution of + ytan x = sec x is dx A y = sec x + C sin x В у (sin x - 1) %3D С y= sin x…

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: sin y dy dx If 1 for some a > 1, then the value of a is y 0 x

A:

Q: Let y(x) be the solution for the DE. y +y tan(x) + sin(x) = 0 If y(0) = In 2, then at x = %3D - 4…

A: We have to solve given problem:

Q: əf. dy and In each of the following, find dx (n) f(x,y) = tan x tany %3D

A:

Q: (d) sin 7x dx 1 1 (e) dx sin? x cos? x (f) | (tan x + cot x) dx

A:

Q: Determine whether ƒ is even, odd, or neither.

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: y -y sin X+ x cos y dx + x sin y dy = 0 is given by A+Bcos y s 2 = 2x . Find A and B.

A:

Q: dy 4. If y = tan-1(cos x), then dx - sin x А. 1+cos? x B. -(sec-1(cos x))² sin x C. (sec-1(cos x))?…

A: If y=tan-1cos x, then we have to find dydx.

Q: y = Vx³ + 3 dy Find dx dy dx Type sin(x) for sin(x), cos(x) for cos(x), and so on. Use x^2 to square…

A: ddxx3+3Apply chain rule:=12x3+3ddxx3+3=12x3+3· 3x2Simplify:=3x22x3+3

Q: N. xe S 2(cos x)(sin x)dx = 2 +c (5 In(3x) dx 11. Sln°(3x) o. 12. +C Р. сot x -dx =+c 13. Q. cot?x

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: If y=tan(arcsec/x), then dy/dx is x – 1 A 2(x-1) sec2(arcsec/x) B sec2(arcsec/x) 2x D none of the…

A:

Q: 4- Find dy/dr If x²(x- y) =x - y? dx 5- Find "/dr If y =x +3x-7 and z 2t +1 dy 6- Find dr/de If cosr…

A: To find The derivative of the given functions

Q: t? tan (3t) dt. Find H'(x). Let H(x) sin x

A: Flip the limits. So, the sign of the integral will change.

Q: Let y(x) be the solution for the DE. y+y tan(x) + sin(x) = 0 If y(0) = In 2, then at x = %3D %3D the…

A:

Q: Let y(x) be the solution for the DE. y' + y tan (x) + sin(x) JT If y(0) = In 2, then at x = 4 the…

A: Proceed as shown below

Q: equations. A. (2xy - tan y) dx + (x² - x sec² y)dy = 0               when  y = (pi/2) = 0 B. (cos…

A:

Q: dy A. Find dx 4. y = x In tan?x 1- cos x 5. y = In 1+cos x 6. y = xArc tan x - In Vx2 + 1

A:

Q: c) f(x)=tan(cos².x) 11 COS X 1+ sin.x Dy=- b) y = 2

A: e)  f(x)=tan(cos2x)  f) y=cosx/(1+sinx) g) y=ex^2/x3 Repost the next part.

Q: dy 1. cos? x sin x+ (cos³ x)y = 1 dx 2. (x + 1)+ (x + 2)y = 2xe™* dx

A:

Q: dz Suppose z is a function of a and y, and tan Vy2 + #² = 2"¢&v. Solve for dz and dy

A: Solution :-

Q: The integral cos(x − 3) dx is transformed into f, g(t)dt by applying an appropriate change of…

A: Solution :-

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: e) x + tan(xy) = 0

A:

Q: Upon multiplication by -3x" and using the substitution z= x-3, dz = - 3x-4dx the Bernoulli's DE dx -…

A:

Q: (D' + D)y= tan x. Ans.: y =C +C_cosx+C_ sinx-In sin x- sin x.In(sec.x+ tan x).

A:

Q: 1) If dy = tan x, then y =? dx А. !tan?x + C B. sec?x + C C. In [sec x]+ C D. Inſcos x] + C 2) dx =?…

A: We have to choose the correct option.

Q: If y=tan(arcsec/x), then dy/dx is x- 1 A 2(x – 1) sec2(arcsec/x) В 2x sec2(arcsec/x) D none of the…

A: We have to solve the problem

Q: If y=tan(arcsec/x), then dy/dx is sec2(arcsec/x) A 2х sec2(arcsec/x) (B © none of the given choices…

A:

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

A:

Q: (2 + tan ?x)(1+ e-Y)dx – e-Y tan x dy = 0 yG) = 0

A:

Q: If sin(x + y) dy 2 = xy, what is the expression for dx ... cos(x + y) – Y ... (A x – cos(x + y)…

A:

Q: e) f(x)=tan(cos¹.x) () COS X [+sil x h) y = 2

A: Given

Q: if sin(x+y)=xy, what is the correct expression for dy/dx? a. cos(x+y)-y / 1-x b. cos(x+y)-y /…

A: The given function is sinx+y=xy.

Q: 3 1 1 1 dx in terms of k. 6. If dy k, find 1+y 1+9x2 0 Sin (p tos - l tan + C

A: Given: