d tan(2) = %3D dz sec(x) O cot(x) O sec-(z) O sec (z) tan (z) O

Q: dx (2) 3y sin x 2xy cos x = 0 dy (3) 3x²y² + 2x³y -= 0

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Q: d [ sin(x)cos(x) dx dx 1+x4

A: Find the integral

Q: If y=sin-1x then dy/dx= 1/dx/dy for all x in [-1,1] True or False.

A: Given statement If y=sin-1x then dy/dx= 1/dx/dy for all x in [-1,1] is false.

Q: Find dy/dx if y= tan-1(x/(1-x))

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Q: 2 1 + x - 1 then find dy when – 1<x <1. If y = tan dx

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Q: Let z= sin (y2 – 4x), Find the rate of change of z with respect to y at the point (2, 1) with x held…

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Q: 1) Find dy/dr by implicit differentiation. tan n'(xy"+y)= x

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Q: Ho Find (dy/dx) for: tanh-¹(x y) + e(x+y) 5 cos(y)

A: It is given that, tanh-1xy+ex+y=5cosy. The objective is to find dydx. Formulas used:…

Q: SHE 1+ (In x)' = dx = (sec x) = f sin x dx = [cos.x dx = (arctan x)': = [f(x) g(x)] = ==dx =

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Q: VSDE of tan xdx + y * cos^2 ((x) * dy) = 0

A: The objective is to solve sinxcos xdx+ycos2ydy=0 The formula for integration is ∫xndx=xn+1n+1+c

Q: 2. [ * xkbr cos*x- sin 3(sin y- cos y)° dv 10. cos y

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Q: 1. Find dy/dx which x = -1 y = 1/x arc tan 1/x  2. Find dy/dx which x = 1/e y= arc tan (ln x)

A: 1. Find dy/dx which x = -1, y = 1/x arc tan 1/x  Differentiating y with respect to x.  Since y is a…

Q: S sin 8x sin x dx O - 0. 02 O - 0. 01 O 0.02 0.01 O O O

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Q: dw of w -+ dt X y H.W: Use the chain rule to find the derivative dw with x= cos 1, y = sin? t, z =-…

A: We differentiate the function with respect to t.

Q: dy - y cos x dx = y ln [yedk COS x]

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Q: Let z=sin (y 2- 4x). Find the rate of change of z with respect to y at the point (2, 1) with x held…

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Q: arctan(*) 1+e2kx dx =? A) arctan(e*)In|cos(arctan(e*)| + S in |cos(arctan(e**)dz]+ c kekx 1+e2kx B)…

A: ∫arctan(ekx)1+e2kxdxFormula to be used :1.Intergration  by parts2.Substitution3.ddxarctan(ekx) =…

Q: Let z= sin (y²– 4x). Find the rate of change of z with respect to x at the point (2, 1) with y held…

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Q: dy_x² +2x(1+x*) tan" x (1+x*) dx O Op tion 1

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Q: Find dy/dx: y = sin (In x²). A 2 cos (In x²) (B) 2 cos (In x²) / x

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Q: evaluate using the suggested method.

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Q: dy - cosh x dx + (sinh x)y = e¬x

A: see the details solution in below

Q: ( cos x - 3xy- 2x) dx + (2y sin x – x+ In y) dy = 0, y(0) = e

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Q: (y-cos^2 x) dx + cos x dy = 0

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Q: (d) sin (x )+tan dx – In +y = 0

A: We have to solve given problem:

Q: *y=(sin(x)+cos(x))cos(x). dyldx -sin 2(x)+cos*2(x)+2cos(x) -sin 2(x)+cos 2(x)-sin(2x) O

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Q: (3 tanx-2 cos y)sec" xdx + tanxsin yay = 0

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Q: Find dy/dx if ln (x+y)= tan^-1 (x/y)

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Q: Find dy and simplify whenever possible. dx sec x+tan x 1. у 3 sec x-tan x 2. у 3 е * соs e * — sin e…

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Q: 1. x In x dx 2. x'e-3* dx 3. tan- x dx sin Vx 4. dx

A: Since you have asked multiple questions solving first 3 questions. Please repost other problems.

Q: dy Y - sin sin-* = 0 ソーx || dx 3.

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Q: Vsin x.cos x 1+ 2.ln x 3y (аns.: 4

A: Given                   y43= sinx cosx1+2.lnx

Q: cos (5x)cos (3x) dx cosh' (In x) sinh (In x) (A) (8) - (C) 0 (D) 2 1

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Q: dy 1- cosh x dx + (sinh x)y = e-x - 2 dy 2- - y = e*/2y3 dx

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Q: e*+ cos x (d) h(x) = tan x (e) y = Vx sec x e* =dx.secX.さャx.d secxrが4リxのsecX.àビ…

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Q: (y2 cos cos x – sin x)dx + (2y sin x + 2)dy = 0 -

A: The given differential equation is first-order non-linear ordinary differential equation:   First we…

Q: cos x sin x dx 4. sin 2x cos 2x dx 5. cos x sin* x dx 6. sin 3x dx 7. sin³ x cos? x dx 8. 3.

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Q: dy - sin x sin y dx = x² cos x siny dx

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Q: e) cos (x + y) - cos(x - y) =-2sinxsiny

A: The LHS of the given equation is cosx+y-cosx-y. Note that, cosA+B=cosAcosB-sinAsinB and…

Q: (x+sin x ) equals: dx O Cos X 1-cos x 1+cos x

A:

Q: 1) Find dy/dx if : y In (tan¬ x)

A: Given : y = lntan-1x

Q: 1. S(e2x – 1)3 dx 3. S sin 2x (sin®x + 1) dx 2. S(x6 – 3x²)ª (x5 – x) dx -

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Q: Cos x dx In x (sin x) () - dæ. (In x)²

A: We have to find the value of the integral : ∫cos(x)ln(x)dx-∫sin(x)1xln(x)2dx

Q: +2e* +sin x)dx a. 3t + b. dt с. sec 0(sec 0- tan 0)d0

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Q: a) / sin°(x) cos(x) dx = » / sin(x)(cos(x))² dx =

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Q: ) Find (dy/dx) for: tan-¹(x² + y) - eln(x³y) = 5sinh(y)

A: We need to find dy/dx.

Q: (y cos x + 2xe") dx + (sin x +x²e + 2) dy = 0; when x = 0, y = 0

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Q: tan-1 (xy)=3x2+sin-1(y) find dy/dt

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Q: Find dy/dx if y = In (tan(x).3$ec(x) + /sin (x³)

A: given,