Given the following table, use your calculator to estimate dW/dt at t=0 using the average rate of change from t=0 to t=4 . W t 0 350 4 334 8 286 12 206 16 94 20 -50 24 -226 a) − 36 b) − 44 c) − 20 d) − 4 e) − 12

Q: The table shows the position of a cyclist. t (seconds) 0 1 2 3 4 5 s (meters) 0 1.3 4.6 10.4 17.5…

A: Average Velocity on a,b = s(b)-s(a)b-a.

Q: The data for temperature profile along the heated rod is given as: T 40 50 60 70 80 600.5 600.6…

A:

Q: The table shows the position of a cyclist. t (seconds) 0 1 2 3 4 s (meters) 0 1.1 5 10.7 17.2 25.2…

A:

Q: The outflow concentration from a reactor is measured at several times over a 24-hour period: t, hr…

A: As per the question we have the following data table : t 0 1 5.5 10 12 14 16 18 20 24 c 1 1.5…

Q: Use the table to find the instantaneous velocity of y at the specified value of x. /69 18) x 1 O.2 X…

A: Calculation:From the given Table, the value of y at x = 1 is 0.25.Compute the instantaneous velocity…

Q: The derivative of p(t) = e'n(t)+4t² is given by which of the following? Op' (t) =D 글 + 8t Op'(t) =…

A: derivative of p(t) is p'(t)=ddtelnt+4t2

Q: The table shows the position of a cyclist. t (seconds) 0 1 2 3 4 s (meters) 0 1.2 5.1 10.5 17.6 25.6…

A: Given table shows  the position of a cyclist t (seconds)     0      1        2         3       4…

Q: The table shows the position of a cyclist. t (seconds) 0 12 3 45 s (meters) 0 1.1 5.3 10.1 17.4 26.1…

A: a Average velocityi)1,3Average velocity=s3-s13-1=1001-1.12=4.5 m/sii)2,3Average…

Q: The following table shows the rate of water flow (in L/min) through a dam. t (min) V'(t) (L/min) 1…

A: above question is solved with the help of simpson's formula  answer 96 liter water  pass through dam…

Q: 1. Find the average rate of change of the following functions over the given interval: (a) f(r) =…

A: Explained below

Q: B. The capacity of a battery is measured by i dt , where i is the current. Estimate, using suitable…

A:

Q: Find the average velocity from time t= 0 to t = 1 of a car whose position p(t) along a horizontal…

A: Here, we have, Position of car along horizontal track is pt=4-t-2 from t=0 to 1 It is known that…

Q: The velocity v(km/min) of a moped which starts from rest, is given at fixed intervals of time t…

A: if s (km ) be the distance covered in time t(min ) then  ds/dt =v  estimate approximately the…

Q: he table shows the position of a cyclist. t (seconds) 0 1 2 3 4 5 s (meters) 0 1.5 4.8 10.1 17.5…

A: Since this is a multiple subpart question according to the Bartleby Answering rule, only first three…

Q: Given that x and y are functions of time, find the indicated rate of change dx/dt, when x = 2, y =…

A:

Q: Suppose that the rate of change of Q with respect to t is given by = kQ(M- Q), dt where 0 < Q < M…

A:

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

A:

Q: Let Y= x² +3 2 d. Find the average rate of Change of Y'o 79 over the following with respect to x…

A: Given query is to find the average rate of change and instantaneous rate of change for  y = x2+3

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

A:

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

A: It is given that, the velocity (v) of a car in m/s at time t in seconds is given  by the expression

Q: Recall that the average speed between times t and t2 is calculated using y(tz) – y(t;) t2 - ti Vave…

A: Here,                 y1+h=551+h-1.861+h2y(1)=53.14

Q: If the position of an object is given by s(t) = 2 +t², then what is the average velocity of the…

A:

Q: The table shows the position of a cyclist. t (seconds) 0 1 3 4 5 s (meters) 0 1.5 4.6 10.7 17.4 24.2…

A:

Q: The outflow concentration from a reactor is measured at several times over a 24-hour period: 10 t,…

A: Note: Here, the number of points are 10 which is even. So, Simpson's 1/3 rule is not applicable…

Q: The table shows the position of a cyclist. t (seconds)     0 1 2 3 4 5 s (meters)     0 1.6…

A: The average velocity for [1,3] = 4.65Answer: a) i) 4.65

Q: The temperature of a solid is given by the function f(x, y, )=x:+e" sin = at P(1,1, 7/2) what is…

A: We have to find the rate of increase of the funciton.

Q: Suppose that over a certain region of space the electrical potential V is given by the following…

A:

Q: If a ball is thrown into the air with a velocity of 46 ft/s, its height in feet i seconds later is…

A: Given : y = 46t - 16t2  t = 46

Q: Find the constant of proportionality. z is directly proportional to t. If t = 5, then z = 15.

A: According to the question, The variable z is proportional to variable, that means z = c * t, here c…

Q: Use two-point linear interpolation or extrapolation to estimate C( t = 0.6 min) assuming that the…

A: The equation is C=3.00exp(-2.00t)=3.00e-2.00t  Where t is the time and C is the concentration .  We…

Q: 2.) Suppose the position of a moving object is given by the values in the table : t (sec.) .5 1 1.5…

A:

Q: The figure below plots the bioluminescence model photon emission rate curve R(t) = At² exp(-Bt),…

A: Here is the solution of the given problem.  we use here Trapezoidal Rule of estimation:

Q: The table shows the position of a cyclist. t (seconds) 0 1 2 3 4 5 s (meters) 0 1.6 4.8 10.7 17.1…

A:

Q: The following table shows the rate of water flow (in L/min) through a dam. 1 5 9 13 17 21 25 t (min)…

A:

Q: If a ball is thrown straight up into the air with an initial velocity of 60 ft/s, its height in feet…

A: given y=60t-16t^2

Q: 8. The table below gives the values of distance traveled by a car at various times from a tollgate…

A:

Q: If a rock is thrown upward on the planet Mars with a velocity of 10 m/s, its height in meters t…

A: We have given,

Q: The table shows the position of a cyclist. t (seconds) s (meters) 0 1.1 4.8 10.3 17.6 26.1 (a) Find…

A:

Q: The velocities (in mi/hr) of an automobile moving along a straight highway over a 2-hr period are…

A: Given that the velocities(in mi/hr)of an automobile moving along a straight   highway over a 2-hr…

Q: The velocity of a car at time ↑ is given in the table below: 1 1.5 3 4 6 | 9.5 7 8 8.5 9 v(t) | 50…

A: We will use two point forward difference to calculate a(8.5).

Q: Consider a car whose position, s, in feet, at time, t, in seconds, is given by the table t (s) 0 0.2…

A: To find the average velocity over the given intervals.

Q: The calculated experimental values for the heat capacity of ammonia are: T(C) Cp (cal/g.mol C) 0…

A: ANSWER 1: As Cp = aT3 + bT2 + cT + d   .......(1) So, at T = 0, Cp = 8.371 cal/g.mol C So, 8.371 = 0…

Q: Find the average rate of change of the function over the given interval. f(t) = 14 + sin t a. 0, T…

A: Given that

Q: 17. Use Figure 12 to estimate dT/dh at h = 30 and 70, where T is atmospheric temperature (in degrees…

A:

Q: The velocity of a car travelling on the motorway at 15-minute intervals is as follows. Apply 1 2 3 4…

A: According to the given information it is required to find the total distance traveled by the car…

Q: The table shows the position of a cyclist. t (seconds) 0 1 2 3 4 5 s (meters) 0 1.4 4.5 10.5 17.6 26…

A:

Q: Consider a car whose position, s, is given by the table t (s) 00.20.4 0.60.8 1 s (ft) 00.5 1.4 3.8…

A: use average velocity formula for finding the value.

Q: From the following answer what is asked: f(x,y) = x2 e-y , (3,0), v = 3i + 4j d) In which…

A:

Q: If a rock is thrown upward on the planet Mars with a velocity of 10 m/s, its height in meters /…

A: The velocity of rock is 10 m/s. The height of the rock at t second is y=10t-1.86t2

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

A:

Exponential Growth Model

The relation that represents an exponential function is: