The vertical position of a particle is given by the function s = t – 3t2 – 2. How far does the particle travel between t = 0 %3D and t = 5?

Q: The displacement, in meters, of an object moving in a straight line is given by s(t) = 3+ 4t +t2,…

A: The displacement is given by

Q: Solve the following DE using variation of parameters (D – 1) y = e" + 1 -

A: Let's find.

Q: T(E) = N= T'(4) Evoluate (t) NG) for t=L,

A: First we find r'(t) then put t=1

Q: For a given table 6. 10 14 y 4 12 Find the value of at x = 2 using forward difference formula. dy dx…

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Q: Find the curve length of the given functions in the given interval

A: Find dx/dt and dy/dt using product rule.Then find (dx/dt)^2 and (dy/dt)^2.

Q: Q4) find at t= from the following functions, x= cost . y= 1+sint

A: Given that  x=cost  y=1+sint  To find the d^2y/dx^2 at t=π/2

Q: The position of a moving particle is given by s(t) = 2t2 – 18t on 2 <t< 9 where 's' is in meters and…

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Q: The rate r at which people get sick during an epidemic of the flu can be approximated by r =…

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Q: Suppose the height of a rocket rising vertically from the ground is modelled by the equation; S(t)=…

A: Here equation is S(t)=t2+2t+4A)we have S(t)=t2+2t+4put t=1 and t=8 in…

Q: The r.m.s. value of f(t) = t² across [1,4] is %3D

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Q: The position function of a particle is given below. 6t2 91t, t 2 0 s(t) t3 When does the particle…

A: To determine the time when the particle reach a velocity of 5 m/s.

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A: Given: a = -0.6t+4 and velocity at t= 0 is 0 Since, dvdt=a, here v is the velocity and a is the…

Q: R(t) = 3e^t represents the rate at which water is being poured into a container in in^3/sec for t ≥…

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Q: Find dy for the given values of x and Ax. 5x - 4 y = -;x = 5, Ax= - 0.03 x+2 dy = (Round to three…

A: Given: y=5x-4x+2; x=5;△x=-0.03

Q: For the position function s(t) = - 16t + 108t, complete the following table with the appropriate…

A: Given data:     The expression for the position function is: s(t)=-16t2+108t.   Substitute 1 for in…

Q: c) Use the velocity function v(t)= 2e2m/s to compute the distance traveled by an object over the…

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Q: + (3x + 1)y = e d« dx

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: The position function of an object is given by s(t) = -t + 2t. For t > 0 and s(t) = 0m, the velocity…

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Q: The velocity function of a particle moving along a horizontal line is given by v(t) = In2 × 23t…

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Q: For a t-curve with df = 11, find the t-value to 10: O A. 1.280 ОВ. 1.363 O C. 2.718 O D. 1.372

A: Given Degrees of freedom (df)=11

Q: given the position function for an object in motion is s(t)=2t2+4t-1 what is the average velocity on…

A: Definition used:The average velocity of an object with position function f(t) over an interval [a,…

Q: For a given table 2 4 6. 8 y 9. 16 23 d'y Find the value of at x = 4 using forward difference…

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Q: The position of a moving particle is given by s(t) 2t2-18t on 2 <t<9where 's' is meters and 't' is…

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Q: Suppose z is a function of x and y, and a? – y? = 2"e6y. Solve for dz dx

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Q: The position function of a particle is given below. s(t) = 3 + 6t2 - 61t, t > 0 When does the…

A: Velocity function is the derivative of the position function. So differentiating s(t) with respect…

Q: At time t, the position of a body moving alongthe s-axis is s = t3 - 6t2 + 9t m. Find the total…

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Q: Your velocity is given by v(t) = t2 + 1 in m/sec, with t in seconds. Estimate the distance, s,…

A: Write the function of velocity in the form of variable time

Q: Given that x(t) = a[cost – sint], y(t) = b[sint + cost] what will the value dy at t = T/2 dx %3D

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Q: For a t-curve with df = 11, find the t-value to 10: O A. 1.280 В. 2.718 O C. 1.363 O D. 1.372

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Q: Q4) find at t= from the following functions, x= cost. y= 1+sint

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Q: The accompanying graph plots the best quadratic fit, a(t) = − 0.70t^2 + 1.44t + 10.44, to the data…

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Q: The distance (in feet) of an object from a point is given by s(t) = t2, where time t is in…

A: Given the distance of an object from an point at time t is given by equation s(t) = t2, where t in…

Q: the supply function for luminar lamps is p=0.1x2+o.5x+15, where x is measured in thousands of lamps…

A: Given: A supply function for luminar lamps p=0.1x2+0.5x+15, where p is the unit price in dollars and…

Q: The position function of a particle is given by = t3 – 10.5t2 – 2t, t > 0 When does the particle…

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Q: Q2) Solve the D.E xy(x? + 1)dy - (y? + 1)dx = 0 %3D

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Q: (b) Solve the following initial vahue problem by separation of variable = 2x at x = 0, y=-2 dx

A: We will solve the problem

Q: The position of a particle at time t seconds is s(t) = √t meters. Compute the particle's average…

A: Given that, The position of a particle at time t seconds is s(t) = √t meters. The average velocity…

Q: A drag racer accelerates at a(t) = 66 ft/s?. Assume that v(0) = 0 and s(0) = 0. a. Determine the…

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Q: at of left lateral bending (cm) mic hand grip endurance (sec) extension ratio (N/kg) d equation is…

A: 1) the model equation is y=29+0.91x1+0.07x2-4.60x3+e 2) σ=6 3) extent left lateral bending (X1)…

Q: Solve the following initial value problem for y as a function of x. dy x = /x? - 16, 3x dx x24, y(4)…

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Q: The position function of a particle is given by s(t)=t^3−4t^2−8t, t≥0 where s is measured in meters…

A: To find the velocity function from the position function, we have to differentiate position function…

Q: The position function of a particle is given below. s(t) = t3 + 3t2 - 6t, t 2 0 When does the…

A: The velocity function of a particle is given byv(t)=ddts(t)

Q: and hence determine the rate of change of y with respect to x for the following algebraic functions:…

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Q: Solve for the DE equation associated by the given function: у %3D Ае2* + Ве* + С. а.

A: the given solution of differential equation isy=Ae2x+Bex+C

Q: Find the solution and define The interval at which function is değine 2. dx

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Q: The velocity (in ft/s) of an object moving along a straight line is given by v(t) = –28t + 90 Find…

A: Displacement is the speed of the object over in a straight line between two points. Let s(t) be the…

Q: ft (in -) is given by v =t - 2t + 5, where t is the time

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Q: Given that: 0 V40x – x² dx Find the value of m

A: From the given problem: I=∫04040x-x2dx So, we can also write as: ∫04040x-x2dx=∫040-x-202+400dx...1…

Q: Given y = V1+x³, find dy/dx. Use this result to find the approximate change in the value of y when x…

A: As we know that the instantaneous rate of change at any point x = a is approximately equal to the…