JT Given L S then Lte3t JT t

Q: After the medical breakthrough, So(t) =1 0<t<w. Calculate w.

A: Solution

Q: (S dx (f(+ 2t)° dt (2+3x)

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Q: Let V(t) = t – 6t + 8 represent the velocity after t seconds of an object in meters per second. (a)…

A: we haveV(t) =t2-6t+8

Q: JT Given L S 3 then L te JT t

A: Given: L1t=πs

Q: b) Find L{e™t f (t – e)H (t – e)} |

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Q: 까지 dx 10. A. In x + C B. In² [x] + C C. m² 1x1 xl 2 + + C

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Q: K M 15 J L

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Q: S'(1 + v=)dz b)

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Q: L[af(t)+ Bg(t)] = aL[f(t)] + BL[g(t)].

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Q: 2x+2 dx D J+10x+24 A B dx then 2B= x+6 if x+4

A: By using partial fraction, we calculate the value of '2B'

Q: f(t) = 4t – 5 %3D L{f(t)} = %3D

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Q: g(t) = f(2t) d dt

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Q: Find r'(t) r(t) = e 1 + 7j + 8te'k

A: The given function is rt=e-ti+7j+8tetk.

Q: Find 0 (t) where 0 (t) = 0 + Ot. B

A: Let p1(t)=2+t and p2(t)=1-5t. Also      B=2+t, 1-5t That is   B=p1(t), p2(t) Also given that…

Q: P(Z > c) = 0.1077 %3D Find c rounded to 2 decimal places.

A: Given: PZ&gt;c=0.1077 We are asked to find the value of c: Given expression can be written as…

Q: L(at² + bt + c) = / (at? + bt + c)dt.

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Q: d dæ

A: fx=xxx

Q: f(t) = 6t4 %3D L{f(t)} = %3D

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Q: J x(x² + 3)5 dx

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Q: find ds/dt. s = 1 + csc t/1 - csc t

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Q: -st L[ft)] = F(s) = [e“ f(t) dt

A: Given statement is a formula to find Laplace transform of a function f(t) .

Q: (d) Differentiate f(t) = tt°

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Q: Find r'(t) r(t) = e-ti + 5j + 4te'k r'(t) =

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Q: Find h'(t) if h(t) = %3D t1/2 1617 h'(t)=

A: Given:

Q: Find 3 J (æ+ 1)/2x² + 4x + 6 dx. OTM

A: We have to find the integral of the given function.

Q: (st +1)s dt + t3est when t= I tds 7.

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

Q: (c) Evaluate (1+ Væ)' S dx. 2C

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Q: Еxample: if Å = 2i + j + 4k and B = 3i – j+ 5k find АхВ аnd B x А:

A: Here given that                           A→=2i^+j^+4k^                           B→=3i^-j^+5k^…

Q: f(3t) dt

A: Note: - “Since you have asked multiple questions, we will solve the first question for you. If you…

Q: 2 lnt and y: where 1<t<3.

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Q: M J 23 K N. L.

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Q: Find f(t). e s2 + 1

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Q: Find the total differential. z = 8x4 8x4y10 dz = (No Response)

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Q: Find F(s). ℒ{t3e−4t}

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Q: dy 4. dt + 2, y(1) = 3 t

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Q: F. 2.5(JK) 12 What is HL? = 7H %3D

A: Topic:- geometry

Q: What is the value of x in dthe triangle below? 10 B. C. B. Sv2 C. 10v3 D. 20

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Q: Differentiate R(t) = (5t + e')(3 – Vt). Answer: R' (t) = |

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Q: b. Find L{f(t)} f(t) = (1 + e2t)?

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Q: t y(T) dr = 4te¯t, y(0) =

A: We use the Laplace transform to solve the given question.

Q: 100° R 400 S J U 60° T Find 1. MZR = 2. mLS= = 3.mZT = 4. mzU= =

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Q: 12. r (t) = t² i+ 2t j + ln t k

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Q: Differentiate W.r.t to x ne*

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Q: V1+t? 4 10. F(r) 1 dt. Find F(2) and F'(2). V1+t?

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Q: rl F) • n dA = ±|0

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Q: a) r(t)¯ = (3cost)i* + (3sint)j* + 4tk¬ for 0 <t< 2n

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Q: A car drives down a road in such a way that its velocity (in m/s) at time t (seconds) is…

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Q: S M V F Given: 4. mŪLY = 138° 1. JY = 8m 2. moID = 70° %3D 5. MLYDP = 61°

A: according to our guidelines we can answer only three subparts, or first question and rest can be…