27. The graph of the acceleration a(t) of a car measured in ft/s2 is shown. Use Simpson's Rule to estimate the increase in the velocity of the car during the 6-second ime interval. 12 4 2 4

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A: Particle position w.r.t time.

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Q: b. A thermistor is being used to measure temperature. For a given resistance Rthe temperature is…

A: The temperature, T for a resistance R is given by, T=1T0+1βlnRR0−1

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A:

Q: 2. For time t > 0, a particle moves along the X-axis, its position is given by the function s(t) =…

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Q: 4. The path of a baseball relative to the ground can be modelled by the function dlt) = – f² + 8t +…

A: derivative

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A: Image is attached.

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: A particle moves along the y-axis so that at time t≥0 its position is given by y(t)=t3−6t2+9t. Over…

A: A particle is moving along the y-axis its position is given by y(t)=t3-6t2+9t      at…

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Q: Q2. A particle moves along a straight line so that aftert (seconds), its distance from Oa fixed…

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Q: Q2) The velocity of a moving body which starts from rest is given by the following table, the time…

A: Thanks for the question :) And your upvote will be really appreciable ;)

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A: Please see the answer below.

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A: Given that: To find:

Q: 18. The velocity v of a particle at distance s from a point on its path is given by the table: s ft:…

A: We have velocity =displacementTime Therefore v=dsdt⇒dt=dsv⇒∫dt=∫dsv⇒t=∫dsv Therefore, we need to…

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Q: If a rock is thrown upward on the planet Mathemagicland with a velocity of 12 m/s, its height in…

A: Given: velocity=12m/sy=12t-1.86t2

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Q: 3. For time t > 0, a particle moves along the X-axis, its position is given by the function s(t) =…

A: Consider the given position function. st=-t3+3t2-6 Find the double derivative of the position vector…

Q: The accompanying figure shows the position versus time curve for a certain particle moving along a…

A: GIVEN: A graph is given.

Q: An input-output curve of a 10 MW station is expressed as follows: |= 10°(10+8L+0.4L?) where / is in…

A: An input-output curve of a 10MW station is expressed as I=10610+8L+0.4L2

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Q: 11) A brake company is testing their brakes. When the brakes are pressed fully, it creates a…

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Q: 3. When polluted water begins to flow into an unpolluted pond, the concentration of pollutant, C, in…

A: Given that The concentration of pollutant C in the pond at t hours is modelled by

Q: (4) The temperature at a point (x, y) is given by T(x, y) = xy + x². (a) (2, –1)? What is the rate…

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Q: Solve parts a,b, and c.

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Q: 2. To estimate the distance traveled over [0,2] if the velocity at half second interval intervals…

A: Redraw the given table as shown below, t(s) R(h) Difference 0 2   1 6 6-2=4 2 10 10-6=4 3…

Q: 19. Suppose the rate of change of production of a regular worker at a factory is given by dp…

A: Given problem:- Suppose the rate of change of production of a regular worker at a factory is given…

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Q: 1.A culture has y,number of bacteria. At time t=2 hours, the number of bacteria is measured to be…

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A: Given:

Q: 9. Suppose an object is moving along a path described by; f(t) = t - 6t, where f (t) is measured in…

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Q: 6. The acceleration of a body moving in a straight line is given in terms of timet by a(t) = 8-6t If…

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Q: 17 It is found that the bloodstream concentration, C (in ug/mL), can-be modeled by C(r) T2 + 11…

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Q: 3. If f (t) = -t² + 5t + 3, describes the distance that a ball has traveled in meters, what is the…

A: Given : The function ,ft=-t2+5t+3 describes  the distance travelled by the ball in meters. To find:…

Q: Q1. A particle moves along a straight line so that after t (seconds), its distance from O a fixed…

A: A particle is moving along the straight line so that it's distance from a fixed point 'O' after time…

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Q: A particle moving in a straight line is at a distance of s(t) = 1.lt³ + 13t feet from its starting…

A: The solution is given in next step

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Q: 4. It is known that the tensile strength of a plastic increases as a function of the time it is…

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