1. The table below gives the velocity of an object measured at equal-spaced time intervals. 10 20 30 40 50 60 70 80 90 100 t (sec) v(t) (ft/ sec) 12 25 49 60 63 62 51 65 48 28 32 Use Left and Right Reimann sum approximations for the displacement of the object.

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 following table shows the rate of water flow (in L/min) through a dam. t(min) v'(t) (L/min) | 3…

A:

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: Given,

Q: The following table shows the rate of water flow (in L/min) through a dam. t (min) v'(t) (L/min) 3 1…

A: The table is given and we have to approximate the total volume of water  that passed through the dam…

Q: The table shows the position of a cyclist. t (seconds) 012 3 4 5 s (meters) 0 1.1 5.4 10.8 17.4 24.8…

A: a) (i) Obtain the average velocity on [1,3] fb-fab-a=f3-f13-1=10.8-1.12=9.72=4.85ms (ii) Obtain the…

Q: The following data are provided for the velocity of an object as a function of time 20 32 t (s) v…

A: Let us consider the three point forward difference equation, f'x=-fx+2h+4x+h-3fx2h      =-61.8+16-38…

Q: Consider an object launched vertically upward from the top of a hill that is 144 ft above level with…

A: when the object reaches the maximum height it is about to free fall i.e., its velocity becomes…

Q: The following data are recorded for the velocity of an object as a function of time (Table 2). t, s…

A: Given data t,s 0 4 8 12 16 20 24 28 32 36 v,m/s 0 34.7 61.8 82.8 99.2 112.0 121.9 129.7 135.7…

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: The following equation defines how the velocity of a slow-moving vehicle varies with time where the…

A: Given: The equation that defines how velocity of a slow moving vehicle varies with time where V is…

Q: (10 points) The volume V of a right circular cylinder of radius r and height h is V nT h. %3D (a)…

A:

Q: A ball dropped from a state of rest at time t = 0 travels a distance s(t) = 4.9t2 m in t seconds.(a)…

A:

Q: 1. If a rock is thrown upward on the planet Mathemagicland with a velocity of 12 m/s, its height in…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Suppose the rate at which a skateboarder is traveling is given over a 10 sec interval in the table…

A:

Q: The following table shows the rate of water flow (in L/min) through a dam. t (min) 15 9 13 17 21 25…

A:

Q: Find the total distance traveled by a particle according to the velocity function v(t)=−t+7 m/sec…

A:

Q: Suppose a particle begins to move from the origin (t = 0) following the curve in space r(t)= (5sint,…

A:

Q: (a) If A is the area of a circle with radius r and the circle expands as time passes, find dA/dt in…

A: A detailed solution is given below.

Q: t(sec) 0. 2 4 6. 8 a(t) (ft/sec2) 2 3 4 2 The acceleration of a particle from 0 to 8 seconds is…

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: A ball is dropped from a state of rest at time t=0t=0. The distance traveled after t seconds is…

A:

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: Find A, B which make the approximation. So S(x)dæ = Ahƒ(0) + Bhf() as high order as possible. With…

A: Use the following concepts, to determine the solution. The degree of precision is the largest…

Q: The graph below shows the total distance s, in miles, traveled by a bicyclist after t hours. 40mi…

A:

Q: (a) If A is the area of a circle with radius r and the circle expands as time passes, find dA/dt in…

A: Given: Let A is the area of a circle with radius r Then we have A = πr2

Q: The following data is provided for the velocity of an object as a function of time t, s v, m/s |0 4…

A: Step 1 of 2:)   a. Consider the data from the book for the velocity of an object as a function of…

Q: 4. The table of values below shows the rate of water consumption in gallons per hour at selected…

A: Here the partition into 5 sub-intervals will be (0, 2), (2, 5), (5, 7), (7, 11), (11, 12)  Now for…

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

A: GIVEN: A graph is given.

Q: i am unsure how to solve this

A: Here, Then t0 = 0, t1 = 4, t2 = 8so f(t0) = 6, f(t1) = 8, f(t2) = 14

Q: The volume V of a nght circular cylinder of radius r and height h is V= 7rh. (a) How is related to…

A:

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 velocity of a car is recorded at half-second intervals (in feet per second). Use the average of…

A: Given

Q: (a) If A is the area of a circle with radius r and the circle expands as time passes, find da/dt in…

A: Given that  Area of the circle =A  Radius of the circle =r  To find the rate of change of area

Q: 19. The velocity of a car is recorded at half-second intervals (in feet per second). Use the average…

A:

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: in a time of t seconds, a particle moves a distance of s meters from its starting point, where…

A:

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

A: Given, t=1 to t=13 and n=6 ∆t=13-16=2

Q: A (4,6) and B (10,18) between moments t1 = 4s and t2 = 10s. What is the average speed of the…

A:

Q: The following data is provided for the velocity of an object as a function of time t, s V, m/s 4 8…

A: (1).

Q: The following data are provided for the velocity of an object as a function of time 0 4 16 20 24 32…

A: Given acceleration at t=28 s so, velocity at (t=24)=122 velocity at (t=32)=136

Q: Find the total distance traveled by a particle according to the velocity function v(t) = 4t – 4…

A:

Q: (a) Calculate the average rate of change of R with respect to q over the intervals 1 < q< 2 and 2 <…

A:

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: e surface area of a sphere increases at a rate of 90 m2/sec Then the rate at which the radius…

A:

Q: The rate at which water flows into a tank, in gallons per hour, is given by a differentiable…

A: Given Table:- t(hours) o 2 3 7 8 R(t)(gallons per hour) 1.95 2.5 2.8 4 4.26

Q: t (sec) 0 2 4 6 a(t)  (ft/sec^2)  5 2 8 3 The data for the acceleration a(t) of a car from 0 to 6…

A: We need to determine the approximate value of the velocity at t=6 , using left hand Riemann sum with…

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

A: In this question we will use basic of calculus i.e concept of integration by Simpson's rule. We will…

Q: Selected values of f (x) are shown in the table below. What is the right 15 Riemann sum…

A: Right riemann sum of the integral in 4 subinterval from 2 to 15. f(x) and table is given.

Q: The rate (in liters per minute) at which water drains from a tank is recorded at half-minute…

A: We have  We have to calculate the average of left and right-endpoint approximations

Q: Find the average velocity for the position s(t) for mm over the interval  1≤ t ≤ 3,    where t is in…

A: Average velocity of a particle is total distance moved divided by the time elapsed.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.