s1t2 = 5 cos 2t, where t is time in secondsWhat is s102?

Q: cos(3r) 28 If F(t) = J dx Find F %3D sint) V1+17x O A 28 O B. No correct Answer OC. 56 O D.- 112 O…

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Q: Q2: Find the 1. y = 1- 2. y [In(x² + 2)²]³ 3. y = xcsex tan² (cos x) 4. y for the following…

A: As per guidelines we can answer only one question at a time, so if you need more answers kindly…

Q: F(s) = .L{cos 2t H(t-) + (912+2t-1) H(t– 2)}.

A: We will find out the required value.

Q: 2T 26. cos e de

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Q: 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

A: None of the options are correct

Q: Q5-Find for x? + cos(xy) = y dx

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Q: 8 cos (t) – 1 for all solutions 0 < t < 27

A: The objective is to solve 8cos2t=8cos2t-1 for all the solutions 0≤t≤2π Consider, 8cos2t=8cos2t-1…

Q: Q1: Find dy/dx for the following functions (solve four only):- (1)5Y + 5*y = In sin-1 e* (2) y =…

A: 1)      5y+5xy=lnsin-1exDifferentiate partially both…

Q: T/2 S sin? x cos5 x dx

A: Topic = Integration

Q: Q1: Find dy/dx for the following functions (solve four only):-

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Q: by v(t) = 2 cos (Gt) for

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Q: Q5: Find: a) £[3-5e²t + 4 sin t - 7 cos 3t] b) C- 3.s s²+16 5 s² +

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Q: Find L(e³t cos 2t) Your answer with CamScanner

A: A detailed solution is given below.

Q: (D² + D)y = 81r² +14 cos(4x) where y(0) = 0 and y'(0) = 3 %3D

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Q: f (t) = sin? 4t + cos? 4t 4+s А. s2 +16 С. s2 +32 В. s(s2 +16) D. s2+16

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Q: 1. f(t) = cos42t 2. f(t) = cos²5tcosh²5t

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

Q: M) solve Por O50<2M -2COS &sine t cos o = VZCOS O t Cos 0 %3D

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Q: L(t cos 2t] s2+2 (s2 +4) 8-4 (s²+4)? s2-2 (s2+4) s2 -4 (s2+4)"

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Q: Find L-1 () and L(t cos(3t)). s+7,

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Q: Q1: Find dy/dx for the following functions (solve four only):- 4) y = cosh[sin-'(x²Inx)] (5) y =…

A: Here are the step by step solution of the given problems:

Q: L[ cos? (t) – sin²(t)] = ? %3D 2 S s2 -4 s² +4 2 s2-4 s2+4 O c

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Q: Q1-Find dy / dx for the following functions: -2 2.8ln2 Cosh9x Y= 4 3 2 * Inxy cos0 log, 2

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Q: evaluate the triple iterated integral.

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Q: Evaluate: | (cosh²2r+ sinh²2r) dr (A 2r +C 1 -sinh 2r +C 2 B -sinh 4r +C 4 D r +C E None

A: cosh²(2r)+sinh²(2r)= cosh(4r) ∫cosh(x)dx= sinh(x)+C, C is a constant.

Q: Q1: If y=sint and t= sinx, then at x = a) 0 b) c) cosl 2 dx d) -cosl e) others

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Q: 3. Evaluate L{4e-2tt3 +t sint cos t}

A: L4e-2tt3+t sint cost

Q: 2. S Find L{sin³ t}, L{e²t sin³ t}.

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Q: -2t L{e cos? 21

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Q: Q16 a) / 31 3t+2 b) dr cos² a √5+tanz » /; c) [₁² dt (3-5t)²

A: Given :(a) ∫3t3t+2dt(b) ∫dxcos2x5+tanx(c) ∫12dt3-5t2

Q: Q4: Evaluate L(t3 + 5 sin7t). b. L(t cos5t). c. L ) 1

A: In this question, the concept of Laplace Transform is applied. Laplace Transform The Laplace…

Q: L{t sint cos t} %3D (A) 4)2 (s2+4)² -2s (B) (s²+4)2 (s2+4)? 28 (D) (s2+4)2 (82+4)2

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Q: Find F(s). L{(1 – e' + 6e-3t)cos(5t)} F(s)

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Q: -2t Let f (t) = tlºet + e sin 18t. Find L{ƒ (t)}.

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Q: d²y for 15 = cos x Find dx? cos x + a°y?

A: We need to find d2ydx2 for 15=cos x+x3y2. Let us differentiate both sides.                    0=-sin…

Q: s1t2 = 5 cos 2t, where t is time in secondsWhat is the period of this motion?

A: Given: s1t2=5 cos2t,  where t is time in seconds. The period of the trigonometric function in the…

Q: L {t³ – tet + e4t cos t}

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Q: Q3 Find 00 (i) -t sin(v3t ∞ e

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Q: f(8,t) = cos os(0e*) + cos( + e*) = COS + cos (s+

A: Find partial derivative.

Q: Q3/ Find ſ Vx * Sin (x³2 -1) dx=? (by substitution)

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

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Q: Find the solution of the equation cos y which teds to zero as r 00 and has the valre coS N Twhen r-…

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Q: L7t2 cos t 8(t)dt

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Q: Q9.a) Find if y=sin(tant) and t=cos(x) dx

A: We can solve this problem using chain rule.

Q: COS T2² (z−1)(z–2) ed) is equal t

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Q: Q1. L{t sint cos t} = (a) 8 (b) (3²+4)² 2 (c) (d) -2s (8²+4)2 2s (s²+4)² 2 <-8 (s²+4)²

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Q: H.W Find y' for y = ecosx tan- (5x) * (5x² + 1)? COS

A: Given,           y=ecosx*tan-15x*5x2+1

Q: f(t) = – 29 cos (t) + 78 %3D Find the average temperature from month 2 to month 6

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Q: Q4/ a2w a2w Find and where w = sin(xy) cec(cos(x+y)) дх ду ду дх

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Q: Find F(s). ℒ{e−8t cos(6t)}

A: To find the laplace transform of the given function.