acceleration of the particle at t=36 seconds

Q: Find s(t), where s(t) represents the position function, v(t) represents the velocity function, and…

A:

Q: The position of an object moving along a line is given by the function s(t)=-9t^2+27t Find the…

A: s(t)=-9t2 + 27tHence, s(1 + h) = - 9  x (1 + h)2 + 27 x (1 + h) = - 9h2 - 18h – 9 + 27 + 27h = - 9h2…

Q: 1. The acceleration a(t) of a model car along a racetrack is given by the function 12 +t a(t) = 12…

A: Given: at=t2+tt2+1cm/sec2, for 0≤t<2 v(0)=1

Q: The position function of a particle is giyen by s(t) = (t – 1)²(t – 3) , where t is measured is…

A:

Q: The rate at which people are entering a line to buy a new piece of technology is measured by the…

A:

Q: Show how to make a quick estimate (to two decimal places) of V(4.98)² – (3.03)² without using a…

A: Given we have given  4.982-3.032

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

A:

Q: The position of an object moving vertically along a line is given by the function ​s(t) = -4.9t2 +…

A:

Q: Find s(t), where s(t) represents the position function, v(t) represents the velocity function, and…

A: Given a(t)=-30t+8, with v(0)=7 and s(0)=6. where s(t) represent position function, v(t) represent…

Q: Find the average velocity for the position function s (t), where s (t) is in millimeters, over the…

A: We need to find the average velocity over the interval 1<=x<=3.

Q: 8) The table below gives specific values for a differentiable function h(t). Use this information to…

A:

Q: Find​ s(t), where​ s(t) represents the position​ function, v(t) represents the velocity​ function,…

A:

Q: The average speed f(t) (measured in kph of traffic )in a certain municipality between 4pm to 8pm on…

A: It is provided that: f(t)=20t-40t+50. We need to find the minimum and maximum of the function: f(t)…

Q: The function g(t) = \t| is differentiable at 0. True False

A: Given that g(t)=|t|We can write it as:g(t)=t   , t≥0-t , t<0

Q: Find the relative rate of change of the function f(t) = 7.4e-0.6t using %3D d In f(t). dt the…

A: Solution is given below:

Q: The position of an object moving along a line is given by the function s(t) = - 17t +136t. Find the…

A:

Q: The position of a moving particle is given by the function s(t) = 7t -ť on 0 < t < 5 where 's is…

A:

Q: The displacement, x of a body as a function of time, t is given as r(t) m. The velocity in m/s at t…

A: given x(t)=3e-2t+5t2

Q: The position of an object moving vertically along a line is given by the function s(t) = - 4.9t +27t…

A:

Q: Consider the following function. F(t) = 2t + 5 Find its average rate of change over the interval [1,…

A: f(t)=2t+5 Average rate of change formula is  f(b)-f(a)b-agiven interval is…

Q: f(T) is a twice differentiable function with f(0) = 5, f(1) = 4, f'(1) = 2, Then Calo

A:

Q: The distance x of a runner from a fixed point is measured (in metres) at intervals of half a second.…

A: a) From the given data, the value of x=1.75 and h=0.25. It is known that, the formula for central…

Q: After a ball rolls off the edge of a horizontal table at time t = 0, its velocity as a function of…

A: Differentiation of displacement vector gives the velocity . Integration of velocity gives the…

Q: The position of an object moving vertically along a line is given by the function s(t) = - 4.9t +…

A:

Q: A hot-air balloon rises vertically from the ground so that its height after t s is given by the…

A: Given: h=12t2+12t ft    ,     0≤t≤60…

Q: Given the function: f(x) = V72x° + 144, find the equation of the tangent line, or linear…

A:

Q: The position of an object moving along a line is given by the function s(t) = – 6t +30t. Find the…

A:

Q: The derivative of f(t) = 21° · h(t), where fand h are differentiable functions is: A. 10° · h(t) +…

A:

Q: The volume of the filtrate (V;) is a function of tf, is given by: V; = 150/t, + 0.15 Find the…

A: Given, that Vf=150tf+0.15 Differentiating Vf  with respect to tf dVfdtf=150ddtftf+0.15…

Q: 17. For an object whose velocity, in ft/sec is given by v(t) = 2sin(t), what is its distance, in…

A:

Q: The average speed f(t) (measured in kph) of traffic in a certain municipality between 4PM ... and…

A: We have given the average speed function f(t) = 20t-40√t + 50  Where t denotes time and ,…

Q: modeled by the cubic function C(t) = -170.36t3 + 1707.5t2 + 1998.4t + 4404.8 for 0 £t£6, where C is…

A: Given   C(t)=-170.36t^3+1707.t^2+4404.8   where 0&lt;t&lt;6  To find C'(t)

Q: Let f(x.y) be a differentiable function satisfying the equation df ху. af and af After the change of…

A: Now  , we will solve the problem.

Q: Consider the following function. f(t) = 4t + 5 Find its average rate of change over the interval [1,…

A:

Q: Find all the relative extrema of the given function below: f(x, y) = 3y² – 2y³ – 3x² + 6xy.

A:

Q: Recall that the volume V of a circular cylinder with a base of radius r and height h can be…

A:

Q: Consider the following function. g(x) = x³ – 5 Find its average rate of change over the interval…

A:

Q: The velocity, v of a body as a function of time, t is given as v(t) = 3e 2t + 2, where t is in…

A:

Q: The velocity (in m/s) of an object moving in a straight line by the function of time t (in seconds)…

A: Topic:- application of integration

Q: The amount of water in a storage tank, in gallons, is modeled by a continuous and differentiable…

A: a) Given that f(t)=100t2sin(t)Plug t=2f(2)=100(2)2sin(2)f(2)=400sin(2)f(2)=395.106378397 gallons per…

Q: The displacement of a particle at time t is given by the function f (t), where f (0) = 3. Given that…

A: Given : f't = 13-5tf0 = 3 where the function ft is the displacement of a particle at time t.

Q: 8) The table below gives specific values for a differentiable function h(t). Use this information to…

A:

Q: The average speed f(t) (measured in kph) of traffic in a certain municipality bet ween 4PM ... and…

A:

Q: A particle, P1, moves along the x-axis so that its velocity at time t, for 0 ≤ t ≤ 6, is given by a…

A: Given, the position of P2 at any time t is X2t=2.7tsin1.25t+2.9-0.9 We know that the velocity at any…

Q: Faraday's law characterizes the voltage drop across an inductor such as di V, = L dt where V voltage…

A:

Q: S 48t + t² – for 0<t<6 f (t) = for 6<t< 12 t (hours) 6 8 10 12 9(t) (cubic meters) 306 376 428 474…

A: The average rate of change of a function h over an interval [a, b] is given by the formula, hb-hab-a…

Q: The position of an object moving along a line is given by the function s(t) = -17t + 153t. Find the…

A: Given:  The position of an object moving along a line is given by the function s(t)=-17t2+153t. To…

Q: The position of an object moving along a line is given by the function s(t) = - 6t +36t. Find the…

A: We have given the position function; s(t)=-6t2+36t We know the formula for average velocity on the…

Q: The temperature of a room in degree Celsius is modeled by a differentiable function T(x) where x is…

A: We need to choose correct option.

Q: Calculate the value of S g'(t)– 1-e-29(t) dt g(t) where g is a differentiable function that checks g…

A: Given integral is ,