Find L{(t- 2) (3 cos 5t +1)}.

Q: 2. f(1) =t cos8t +2

A:

Q: Find L[et tsin(2t) - e-2t+3 +e-2t cos 3t]

A: BY USING THE LAPLACE TRANSFORMATION RULES  WE GET OPTION (D) IS CORRECT OPTION.

Q: (b) (cos(x) (2x + 3))'

A:

Q: f (t) = t(e-2t + cos at)

A:

Q: find general Solution (D²+6D. Sin 4X to

A: Given differential equation is : D2+6D+16y=sin4x To find the general solution.

Q: 14-f(t)= cos 2t.

A:

Q: 2e cos 2t

A: Given,       2elncos2t

Q: - y = x³.e-2*.cos5x

A: The Chain rule for differentiation of an expression with 2 or more functions states that each…

Q: (cos 12/1- x2 1 1. Evaluate dx by using appropriate substitution. an

A: Evaluate ∫01cos-1x2121-x2dx

Q: de cos² 0

A:

Q: 187. [T] f (x) =1+ cosr, x = 3元 2. COS I,

A: Given: fx=1+cosx The tangent line is to be found at, x=3π2

Q: y" +4y=3te' -3 sint + cos2t based on the method of undetermined coefficients. Do not con…

A:

Q: x2 Vcos(t) +3 at 1. COS 2.

A: Given that, the integral ∫2x2cos t + 3 dt

Q: Find: O d: x-6,X-1 dy 3 23=Sin (cos 8x)

A: 1 .y=45x3-6x2+x2-12. y=sin(cos(8x))

Q: In the given question , find d2 y /dx2 implicitly in terms of x and y :- 3xy - 4 cos x = - 6

A: Given  3xy-4cosx=-6

Q: (c) y= sv1– s-1 + cos¯'(s)

A: To find the derivative of the given function

Q: V3 11. cos(3x) = %3D

A: cosθ   is negative in 2nd and 3rd quadrant

Q: Q: Evaluate: 2х -1 cos dx (1+x²

A: Solved below

Q: 2. f(t) =t cos 81 +2

A:

Q: t Cos(4t – 2019) 4.) f( 1)=

A: Given that: f(t)=tcos(4t-2019)

Q: Q1/ A: Find: 1 L-1 55+4 2S-18 5²49 24-30 √S + 54 2- L (t² cos at)

A:

Q: 5. Find (b) y = cos (11x + 5x).

A:

Q: 5(t - )cos3t) 3 252 + 18

A:

Q: fsinx cos/x Зл А 256 3 (В 512 (C) None Зл (D) 512 3 E) 256 -dx is equal to

A:

Q: Determine Yp using undetermined coefficients: 2. (D2-1) y = e-x (2 sin x + 4 cos x)

A: The solution of the problem is given in the next step.

Q: fCx) at c0,2) で +x + co.2) 2. メ 2/3

A: Given curve is fx=23x2+x+2. To find the equation of tangent line and normal line of the curve at…

Q: (c) x³ cos(x²) dx. (Hint: start by using appropriate substitution. an

A: the given integral is: ∫π2πx3cos(x2) dx we have to find the value of the given integral.   let the…

Q: and y = 3 cos 2x for 0s

A:

Q: Find the general solution using reduction of order. 1. y''+y'=cos(4x)

A:

Q: 5. Find (b) y = cos (11xs+ 5x).

A:

Q: Find the value of -4t e cos(4t) dt.

A:

Q: Find L {e 2°cos3t}. -2t

A: The Laplace transform of  a function is Fs=Lft. Given ft=e-2tcos3t. Apply the transformation rule…

Q: T=V3 + cos 0 is given by:

A: Trrr

Q: (D² – 4D + 3)y = 20 cos x

A:

Q: 7 (a² +b°) 1 Prove that : dx = ở (a sin x+ b° cos² x)' 4a’b?

A:

Q: Find the solution of d2y/dx2 +4y=sin3xx+cos2x

A:

Q: (5e" + 6x + 5 cos z)da

A: The solution is given below

Q: Q4: Evaluate L(t cos(3t)).

A:

Q: Evaluate D°(cos x +e-2") A cos x – 32e-2x (B) sin x + 64e -2x (c) - sin x – 32e -2r (D - cos x +64e…

A: Here we have to evaluate      D6(cosx+e-2x)

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

A:

Q: Find y" at (2,4) for cos(x²y + 5) = 16. %3D

A:

Q: -3 cos (2x)+sin(2x) in the form Rsin(2x+a)where R>0 and 0 <a<2n. Express

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: y = 2cotxArcsec(nx) + cos² ||

A: To find dydx the following rules have to be used: a) Chain rule which states…

Q: Find 2: (a) y = cos(1 1x + 5x)

A:

Q: Find the solution of d2y/dx2+4y=sin3x+cos2x

A:

Q: Find d2y/dx2 implicitly in terms of x and y 3xy − 4 cos x = −6

A: Find d2y/dx2 implicitly in terms of x and y 3xy − 4 cos x = −6

Q: e3x [7 sin 7x + 3 cos 7x] +C 58

A: " Since you have asked multiple question , we will solve the first question for you. If you want any…

Q: 4e + 6x° + 9 cos z)dr %3D

A: Given

Q: (2D – 5)y = sin 2x – 7 cos 2x -

A: