0. A particle moves along the x-axis. The velocity of the particle at time t is given by v(t) = 4 If the %3D t+1 position of the particle is x 1 when t = 2, what is the position of the particle when t = 4 ? (A) 0.617 (B) 0.647 (C) 1.353 (D) 5.713

Q: (2) From assumption (c), the velocity (v) at time (t) of the water droplet is 3. v' + t+ro If the…

A: This is a linear differential equation which have to be solved using integrating factor

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A: Consider the graph passing through T = 225.

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Q: A particle that moves along a straight line has velocity v ( t ) = t 2 e − 5 t v ( t ) = t 2 e - 5 t…

A: →v(t) = ds(t)dt→Use integration by parts.

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Q: 6) At time t = 0, a diver jumps from a diving board that is 12 feet high with an initial velocity of…

A: The driver's position at time t is given by: s(t)=-16t2+16t+12

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A: The equation for calculating the integral of a function y=f(x) by trapezoidal rule is; I=∫x0xny…

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Q: 5. If a ball is thrown into the air with a velocity of 40 ft/s, its - 401- 16r. height in feet…

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Q: The velocity of a particle moving along the x-axis is given by v (t) = 2 – t² for time t> 0. What is…

A: Given vt=2-t2 t=1 to t=3

Q: A particle moves along the x-axis with it's position at time t given by x(t)=(t-a)(t-b) where a and…

A: Given A particle moves along the x-axis with it's position at time t is   x(t)=(t-a)(t-b)  where a…

Q: 12. The position of an object at time tis given by x = V3t – 4 ++4, where x is in feet and t is in…

A: (12) The position of an objects at time t is given by  xt=3t-4+1x+4, x is in feet and t is in…

Q: 2. A body moves along the straight path. If the given initial velocity is 2t2 – 4t + 5, what is the…

A: Given initial velocity is     vt = 2t2-4t+5As we know that velocity is rate of change of…

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A: We solve for C(t)

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A:

Q: a) A capacitor (C) which is connected with a resistor (R) is being charged by supplying the constant…

A: Given : E = ∫0∞P(t) dt  ,   P(t) = 5Re-tRC2×R

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Q: A particle moves along the x-axis with the origin as the reference point so that at time t in…

A: Recall what Newton said to us: Velocity = rate of change of position Hence, v(t) = dx/dt

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A: The position of particle is given by- s(t)=t3-10.5t2-2t , t≥0 To find the time when particle reach a…

Q: ,2_2t A particle moves along a straight line with a velocity v(t) = t²e²¹ meters per second after t…

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Q: Find the Bolution to Hhe initial value problem - Please Write the folution with the computer.

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Q: 2.2 Consider the impact function of a certain drug, I = 0.25D/100 – D, with I a percentage and D in…

A: Use average rate formula

Q: 1. If a stone is thrown vertically upward frosthe surface of the moon with a velocity of 10 meters…

A: Follow the procedure given below.

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A: we know the first equation of motionv=u+atv=1+2v95  m/s

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A: Given ,  D=1.2min n = 0.4 Let N be the number of survivors after a process of 10 mins

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Q: A particle moves along the x-axis so that at time t > 0 its velocity is given by v(t) = 3t² – 30t –…

A: topic - quadratic equations

Q: Solve parts a,b, and c.

A: Here we need to apply some basic concepts of derivatives to find the answers

Q: 5. Consider a scenario in which a 20ft tall lamppost lights up a street. (a) (3 marks). A 5ft tall…

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A: Given data is: The population of a bacteria growth culture is: p't=210t+1r  The increase in…

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Q: A particle moves along the x axis with position measured relative to the origin and has an…

A: Consider that acceleration of object is given by at=6t+4 cm/s2, initial velocity is -6 cm/s and…

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Q: A particle moves along the x-axis so that at time t≥0 its position is given by x(t)=2t3+3t2−36t+50.…

A: given, A particle moves along the x-axis so that at time t≥0 its position is given by…

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Q: A man 1.8 m. tall is walking at the rate of 1.2 m/s away from a lamp post 6.7 m high. At what rate…

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Q: The Reed-Frost model for the spread of an epidemic predicts that the number I of newly infected…

A: Consider the given model, I=S1-e-rx it is given that x=17, r=0.1 and S=200

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A: Given, V=(3h2+4)34-8 Where V m2 is the volume at any depth h m.

Q: Consider an animal population P(t) with constant death rate 8 = 0.01 (deaths per animal per month)…

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Q: Consider a poputation Piti satistying the extinction expiosion equation-ap - bP. where B= aPis the…

A: Given- Consider a population Pt satisfyinf the extinction explosion equation dPdt = aP2 - bP, where…

Q: Suppose that a particle moves along a straight line with velocity v(t) = 13 - 5t, where 0 ≤ t ≤ 1…

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Q: A particle moves along the x-axis so that at time t 0 its position is given by a(t) = -t + 4ť² – 4t.…

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