Q(1) Find [cot( cos-(x²)] dy

Q: Find the solution of the equation = e Cos y which tends to zero as x → 0o and has the value cos y…

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Q: Solve d²y dx² - cot x dy-sin² x.y = cos x - cos³ x. 2 dx

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Q: 2 tan(4x-1)-3 cos² (4x-1) If we let u = 4x – 1 for the dx, what will be the resulting integrand?…

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Q: Q3- Find i) S sin3x.cos(-5x)dx

A: We have to evaluate the following integral: int sin 3x . cos (-5x) dx

Q: Find the solution of the equation Cos y which tends to zero as x → 0o and has the value cos y when…

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Q: (16) cos (xy) find dy/dx

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Q: +3x2 B) Find dy/dx if : (****")) (v)² = sin (cos³

A: Differentiation chain rule

Q: 23 Find dy/dx on the graph y3 sec/x2 + y2 = cos2x at point (1, 2).

A: Use product and chain ruleof differentiation at given value

Q: Find the slope of the curve 2xy = In(e2*) sin(x) at the point (2,2)

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Q: The approximation of I = = co cos (x²+5) dx using simple Simpson's rule is:

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Q: Find the solution of the equation CoS dy which tends to zero as x - 00 and has the value cos y when…

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Q: |3 cos(2x – t/ 2) cos(x+ t/ 4)dx

A: To evaluate the integral: ∫3cos2x-π2cosx+π4dx Solution: We know that, cosa cosb=12cosa+b+cosa-b…

Q: 1 Evaluate [ (x³ +cos(3x))dx 2

A: The given integral is ∫x3+12cos3xdx.

Q: y = (sin x +cos x) sec x = sec² x

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Q: A particle, initially at rest, moves along the x-axis such that its acceleration at time t > 0 is…

A: Given a(t)=cos t Integrating with respect to t to get velocity function, vt=∫atdtvt=∫cos t…

Q: 4. Evalaute cos(x) sin(x) dx

A: Given:

Q: Show that L{cos at} = S s² + a² Hence find L{sin 8t sin 6t}.

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Q: Find the solution of the equation cos y which tends to zero as x → 0o and has the value cos y whenx=…

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Q: (- + 2 cos 2x ) dx + (- - 2 sin 2y ) dy = x2

A: You have asked multiple questions in a single request. As per our honor code, we will only solve the…

Q: x fare cos = dx 2

A: Indefinite Integration

Q: Find the solution of the equation = e cos y which tends to zero as x → 0o and has the value cos y…

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Q: 1 Cos(2x)dx 0. (i) Using composite Trapezoidal rule with n = 2, 4

A: As per the policy of bartleby the provisions is to solve only one question at a time So I am solving…

Q: 2. 1- x2dx cos(x + 1) dx 3.

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Q: 7T 2 Find 35 cos(7x) dx 5π 2 7T 2 35 35 cos(7x) dx = -5π လ

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Q: 1. § e sin 4x cos 4x dx 2.5 dx Se-2x dx %3D

A: 1) Given:                ∫esin 4x cos 4x dx Apply u-substitution: u=sin 4x⇒du=4 cos 4x dx…

Q: 2 X 1 t3 COS 4- x² dx 2 -2

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Q: 17. Determine the value of fx dy - y dx, where x(t) = (cos 31, sin 3r), 0 ≤ ≤n.

A: The given integral is: ∫X x dy - y dx, where Xt=cos 3t, sin 3t, 0≤t≤π The components of the…

Q: 1. [* sin' y cos' ydy 3

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Q: find dy. = cos (x2)

A: Given- y=cosx2 To find- The value of dydx. Formula used- ddxcosx=-sinx.

Q: Cos 5x dx 3 +Sin 5x 1. 2. dx J16-9 (n x)²

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Q: 2 cos(플x-지) =D v2 TO

A: Given trigonometric equation is:  2 cosπ2x-π=2 We have to solve for x.

Q: cos-(siny) dx dy = -29

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Q: 4 + cos t -dt 1 – sin t

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Q: For | cos 3x cos 4x dx :

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Q: 7T, 0 cos( {*) cos(2y)dx 2gin( gx) sin (2) dy 77

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Q: 5 Find *: (a) y = cos(11x + 2x) dy

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Q: Find the solution of the equation Cos y which tends to zero as x - 0o and has the value cos y when x…

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Q: 5. Find y', if y = 2cosx sin2x – sinx cos2x d'y dx? 1-cos4x 6. if y = 1+cos4x du

A: Topic:- derivatives

Q: Find the solution of the equation = e Cos y ax ay which tends to zero as x → 0o and has the value…

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Q: Find the solution of the equation +. cos y which tends to zero as x → 0o and has the value cos y…

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Q: Find at the point (1,0) for cos xy + ye* = 0. dx

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Q: b f sin'x. cos²x.dx ef cos(Inx).dx C-

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Q: If y=cos (3x+5 ) then the derivative is - 3 sin(/3x+5) 2/3x+5 b) y'=-3sin(/3x+5) V3x+5 a) y'=- c)…

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Q: +3x2. Find dy/dx if: (y)² = sin5(cos³(- -)) 2 %3D

A: Given: (y)2=sin5cos3x7+3x22 ----(1) To find: dydx Let u=x7+3x22 , v=cos3u w=sin5v Now equation (1)…

Q: Find the solution of the equation = e Cos y which tends to zero as x → 0o and has the value cos y…

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Q: (b) Determine cos(x²) 2x dx by using substitution method.

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Q: Find the solution of the equation Cos y which tends to zero as x → 0o and has the value cos y when x…

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Q: Suppose x and y are functions of a third variable t If sin2(x) + cos²(y) =- and dr dy what is the…

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Q: Find the solution of the equation Cos y which tends to zero as x 0o and has the value cos y when…

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