Evaluate L{t cos 4t} s2 +4 b) 52 – 4 s2 + 16 c) s2- 16 s2 - 16 d) s2-4 a) s2 +4 s2 +16 O a O b

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A: we need to evaluate the triple integration. For finding the solution first we will find the limits…

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

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A: We have to solve given problem:

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A: Given limn→∝ 1ncos2pπ2π+cos2π2n+....+cos2pnπ2n=limn→∝1n ∑r=1ncos2prπ2ntaking n=1nthen takling…

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A: The sequence of partial sums is very important in evaluating the sum of an infinite series. The…

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Q: 4. If x = cose + isin0 & 1 + V1– a² = na then prove that 1+ acose =(1+ nx)(1+) %3D 2n

A: Given, x= cos θ+i sinθ and na=1+1-a2      To prove:  1+a cosθ=a2n(1+nx)(1+nx)       Let  x=…

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A: Given z1=r1cosθ1+isinθ1 and z2=r2cosθ2+isinθ2.

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Q: 19. f(8) = 8 - sin²(20) 9 8sin(20)cos(20) a. f'(0) = 9 32sin (20)cos(20) b. f'(8) = 9 32cos(20) c.…

A: fθ=89sin22θ take derivative f'θ=ddθ89sin22θ

Q: 4) For A = ajax + azāy + azaz , B = b,ax + b2ay + bzaz, show that A.B cos 0 = A.AVB.B

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Q: 3 of u(a,9) = Cof"( 4y Cof' (+y then provethat ace +4u + Sin2ce=0

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Q: 13 A Iz =, arg (z) =tan-(8)- 13 B arg (z) =n-tan-(8)

A: the given complex number is 3-2j2j+1 rationalize…

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Q: 1 Assume that 1 < a < b_and equation is solvable. + x = Show that this * – b'

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Q: 2. Find +he source (メ) Q (x) that the So lutiom U (x it) of k + Qx) 2 - 0 l• Con e

A: given equation ∂u∂t=k∂2u∂x2+Qx,       -∞&lt;x&lt;∞           ...iux,0=0 claim- to find the source Qx…

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A: We can prove given result by mathematical induction: Define a statement p(n).  Show that p(n) is…

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A: we will use following identities to evaluate given expression  a+jb = a2+b2 ∠ tan-1ba and A∠θ1B∠θ2 =…

Q: Example 1: Find length of the cardioid r = a(1 – cos 0) %3D | from 0 = 0,0 = 2n

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Q: 3x)=てメ+cosス そし-て)- -4-cosいて) そしね)、ずした) ):-Smいて)=20348 Kntl = Kn - ぐし) 0.9651+2.0 348 32 Satisfied…

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A: The given differential equation is  y'=1+sin2xy On simplifying this, y'2=1+sin2xy. Hence the…

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A: This question is based on trigonometric formula.

Q: 1-Find the Cauchy principle value (showing details): J_co (7*+5x²+4)' cos(4x) dx 8.

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Q: w on ƏN and cos (|Du[²))ui + u(|Du|³ + 1) < –(2- :- cos (|Dw[?))wii+ w(|Dw|3 + 1) i=1 en u < w on…

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A: Since you have asked multiple questions, we will solve the Q.8 and Q.9 for you. If you want any…

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Q: 6. Compute cos(cos-(2)). i) 2 ii) 1 iii) –0.74 iv) does not exist v) not listed

A: To find: cos (arccos(2))

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A: Using the Fourier cosine transform table, the following formulas can be written.…

Q: ). Show that Vーu リーl < tan vーtan if 0<u<v, u< 2 1+v 1+u 3 < tan 4 T く and deduce that 4 25 3 46

A: Let fx=tan-1x then for u&lt;x&lt;v, so the derivative of the function fx is  f'x=11+x2. We have to…

Q: 2. B 17 2. Preve that CD= 2y Snz Vz+2 COsx N/

A: Use sine and cosine formula to solve

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A: Given that: cosθ=-817

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A: for a quadratic equation ax2+bx+c=0 x=-b±b2-4ac2a

Q: if :z = cos 0+isin 0 2z² z²+1 prove that: 1+itan 0

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