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Q: uonsənb bejH f the position of a moving particle at any time 't' is defined by (t) = 5t3. elocity is…

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Q: z" + 6z' + 8z = e – 6u(t – 3); z(0) = 2, z'(0) = - 6 %3D

A: Laplace transforms

Q: 2y2 hat 2xy² + e³ = e. Then y' 2xy+ey

A: Answer is False.

Q: Ww.3.10® Expess E Expess i 5 as a livear combination of 2 and Vo

A:

Q: axy = with r, K, a, s, b>0. dt a) interpret what each term in the equation means, and…

A: Given: dxdt=rx(1-xk)-axy-----------(1)dydt=sy(1-ybx)------------(2)

Q: Two 0.20-kg balls, moving at 4 m/s east, strike a wall. Ball A bounces backwards at the same speed.…

A: Mass = .20kg  Velocity= 4m/s  Momentum= mass × velocity

Q: When does the particle move forward? Move backward?Speed up? Slow down?

A: If v>0 then the particle will move forward.  v is greater than 0 for (0,1) and (5,7)    If v<0…

Q: A particle moves along a straight line with velocity given by v (t) = 7t - e at time t > 0. What is…

A:

Q: Q4/ A body moves along a straight line according to the law S=1/2t3-2t. Determine its velocity and…

A: I am going to solve the given problem by using some simple algebra to get the required result.

Q: (4) t(s² + t²)ds – s(s² – t²)dt = 0

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Q: 16. an A) 0 В) 1 C) 4 D) 2 E) Divergent

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Q: When does the particle stand still for more than an instant?

A: Given: The graph of Velocity function:

Q: Initial velocity of a free falling ball is v = 1.2" , what will be the ball m m velocity after 1…

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Q: %3D %3D = 7 and y = 7, find z when x = 3 and y = 5. Round your answer to two decimal places if…

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Q: There's another asteroid approaching the spaceship with a certain speed. Seems like there might be a…

A: Topic :- Coordinate Geometry

Q: Water is flowing into a conical vessel 20 cm deep and 10 cm across the top when the depth of water…

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Q: (s – s2 – t2)ds + (t + s2 +t2)dt = 0

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Q: 2. f(t) = -7(e^3t)[sinh(2t)] A. -14 / (s^2 – 6s + 5) B. (-7s + 21) / (s^2 – 6s + 5) C. -14 / (s^2 -…

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Q: 2. A particle is moving along a horizontal line. The position of the particle from the origin after…

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Q: 2. y" – 2y' – 3y = e²", y(0) = 1, y (0) = 0, Yp(t) = -e2' /3 %3D

A:

Q: 3.) Find the orthogonal trajectories of a2 + y? – 2cy = 0

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Q: t - 3 dt 29 J1 t.

A: A detailed solution is given below

Q: 3. If 4=(x+2y+az,bx– 3y-z,4x+cy +2=) is irrotational. Find constant a,b,c.

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Q: m csCX -s メラ0

A: As per guideline we have to do one question..since the ist two questions is incomplete so I have to…

Q: S₂ (1-t) ² dt 2

A: Solution

Q: A fund starts with a zero balance at time zero. The fund accumulates with a varying force of…

A: Consider the given function. δ=2tt2+1 AS given that the fund starts with a zero balance at time…

Q: t u(t-2) L. 31 O e3-2s (s+3)² 1. 2 s+3 e-2s 1 2 (s+3)? s+3 లాఓ-5 (x+3) -6-2부 2. +. (s+3)2 +3 (6+3)2…

A: The solution is given as

Q: When does the particle move at its greatest speed?

A: From the given graph it is clear that in the interval [1,2] v is negative and decreases also in this…

Q: 8. The acceleration of a particle moving along x-axis at time t is defined by a=4t-12. At t=0, the…

A: Given: The acceleration of a particle moving along x‐axis at time t is defined by a=4t-12. At t=0,…

Q: f(t) = e3t + cos(6t) – est cos(6t) As4 + Bs3 + Cs² + Ds + E F(s) Fs5 + Gs4 + Hs3 + Is² + Js + K

A:

Q: particle moves along a straight horizontal line so that its position at any time is given by s(t) =…

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Q: 26. 4 1+ n A. 1 В. С. e* D. -4 e Е. Divergent 4-

A: limn→∞(1+4n)n

Q: A particle moves along the x axis with its position at time t given by x(t) = (t + a)(t - b) where a…

A: Basics of differentiation are used.

Q: 4. Suppose an object with initial velocity v, = 0 ft/s and (constant) mass m slug is accelerated by…

A: Given vN =Ftm      and    VE=Fctm2c2+F2t2

Q: z = 2 24 z=Vx² + y² 2 FIGURE 9

A:

Q: Evaluate the fallowing 2 1 zit 2 -スヒ e 31 回 S4-j と グ 「2 d2 ; C:Z10)=3e;os0 S下 C:そ(0)= 3e ; oss下 it ;…

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

Q: A particle starts at time t=0 and moves along the x-axis so that its position at any time tz 0 is…

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Q: The table models the population, P(n), of a colony of bacteria over n days. n (days) 0. 2 4…

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Q: 3(1 + P) = 2ty(y³ – 1) dt %3D

A: Let us consider the differential equation dydt+P(x)y=Q(x)yn It is known as Bernoulli's equation…

Q: 3. If s(t) = 3f³ -1812+5, 0<1<3 gives the position of a moving particle, find the velocity and…

A: Here given position function s(t)= 3t3-18t2+5

Q: 2 sec 0 r drde = x² + y² dydx %3D 0. True False Reset Selection

A:

Q: (b) 1 When is the velociy of the particle positive? [0,1) U (3,4] When is it negative? (1,3) When is…

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Q: Q1: An object with an initial velocity of −35 m/s undergoes an acceleration of a(t)=12t+18 m/s2, t…

A: (1). Given initial velocity of an object is -35 m/s. Acceleration of object is given as at=12t+18…

Q: roblem. y" – 2y' + 2y = e-; y(0) = 0, y'(0) = 4 %3D

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Q: 2可 S dt 二2可

A: We can do the problem by doing simple integration and then putting the upper and lower limit.

Q: r (5) r) 6Г (2.88) 2- r(-2,5 )r (4) 1- 3- ЗГ (088) r (2)+ r (3 ) 4- e-** dx 5- S Vy e-y* dy

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Q: e 3z -で dz (ez + e5z)2 I = 0,

A:

Q: When the pandemic is over, I am planning to go skydiving to celebrate. In order to make it as…

A: Given that:u=initial velocity=0g=acceleration=9.8t=time=10 secondsThe relation between velocity and…