19. The velocity of a car is recorded at half-second intervals (in feet per second). Use the average of the left- and right-endpoint approximations to estimate the total distance traveled during the first 4 s. 0 0.5 1 1.5 2 2.5 3 3.5 4 v(t) | 0 12 20 29 38 44 32 | 35 30

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

A: Given Data: The travelled duration is: Δt=4 s The table is given the figure represent the velocity…

Q: The volume VV of a right‑circular cylinder is computed using the values d=3.6 m for the diameter and…

A:

Q: Suppose 100 foot-pounds of work is required to stretch a spring 2 feet beyond its natural length.…

A:

Q: Suppose that a particle moves along a straight line with a velocity v(t) = 4– 2t, where t is in the…

A:

Q: 3. The edges of a cube are measured to be 5cm long, with a maximum possible error of 0.1cm. Using…

A: Given : Length (s) = 5 cm  Error (ds) = 0.1

Q: Suppose that a particle moves along a straight line with velocity defined by v(t) = t2− 3t − 18,…

A:

Q: How can the position and the velocity of K be described at the moment that L passes through the…

A: The position of the point on the curve can be defined by the x-axis and y-axis coordinates of the…

Q: Suppose we have a revenue function given by R(z) = 6z- az?, %3D = 10? where a is a constant. What…

A: Given Rx=6x3-αx2 To find the value of α when average value is $20 for x=10

Q: (1) Use the linear approximation of Va at x = 9 to estimate the value of v8.7

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other…

Q: . According to Poiseuille's law, the resistance to the flow of blood offered by a cylindrical blood…

A: As per our guideline we are supposed to answer only first question of a multiple type questions.…

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

A:

Q: A box with a square base of length x and height h has a volume V=xh. Complete parts a. through e. a.…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: 2. The velocities of a horse at selected times over a 60-second time interval are given by the table…

A:

Q: Compute R6, L6, and M3 to estimate the distance traveled over [0, 3] if the velocity at half-second…

A: We need to find R6, L6 and M3

Q: (c) If a ball is initially thrown in the upward direction so that vo > 0, show that it reaches its…

A:

Q: You are designing a spherical tank to hold water for a small village. The volume of liquid it can…

A: The volume of the liquid in the tank is given as follows:…

Q: (b) A right-angled triangle has sides of length 3 and æ, and a hypotenuse of length e. Given that (2…

A: Given a right angle triangle has sides of length 3 and x and a Hypotenuse of length l. Given that…

Q: Suppose the length of rod, L = 50 cm is immersed in steam until its temperature is throughout u, =…

A:

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 ;)

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: Suppose that the total cost (in dollars) of producing a product is C(x, y) = 50 + 7x2 + 8y2, where x…

A: Differentiate wrt x and y

Q: The path y= $L4) s by diseribes Straight following fable point is given moving in line by the t in…

A: The value of table for x and y t 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 y 0 1.519 6.031…

Q: Suppose now that the person begins walking away from the light pole at a constant rate of 0.6 meters…

A: In triangle △ADE and △ABC1. ∠A is common2. ∠ACB = ∠ADE        (90°)△ADE  ≈ △ABC  (AA similarity…

Q: Suppose that the total cost of manufacturing x units of a certain commodity is C (x) = 2?2 + 6? +…

A: Given, Total cost of manufacturing x units of a certain commodity =  C(x) =  2x2 + 6x + 12 We need…

Q: A Commodity hasa demand fanctionm modeled by pe lo- and a total Cost flunction modeled by…

A: F

Q: 4- If velocity of a particle is given by v 10 + 2t2 m/s, the average acceleration between 2 sec and…

A:

Q: 4-The area bounded by the curve y = 2x- r and the x- axis is 5- if y = x - 2r +4 and x = t +2 then…

A:

Q: (c) Suppose instead that we have a rectangular tank containing the same volume of water (pictured…

A: c Volume of cube =8m×1.5m×3m=36m3 volume of water =12×3×3×8=36m3 Volume of water is equal to volume…

Q: 2. The altitude of a helicopter at three different instants is listed as below: 0.3 1, sec 0.2 h, m…

A: We will solve this using 2 point forward and 2 point backward difference formula

Q: Find the linear approximation to h(x) = Vx at x = 2. Use the linear approximation t approximate the…

A: Introduction: The linear approximation of a function at a given point is an application of…

Q: 14. In the theory of relativity, the mass of a particle with velocity v is то m where m, is the mass…

A:

Q: 5) Find the linear approximation to estimate V9.247. Compare this to the true value and determine if…

A:

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

A: Given

Q: Use an appropriate local linear approximation to estimate the value of the given quantity. Round…

A:

Q: A circle has a radius of 9 cm. If the radius is increased by 0.2 mm, using differentials, what is…

A: We have to find the increase in area

Q: 2. A ball 6 inches in diameter is to be covered by a rubber material which is in-thick. Using…

A: Given, A ball 6 inches in diameter is to be covered by a rubber material which is 3/16 in thick.…

Q: Suppose that the total cost (in dollars) of producing a product is C(x, y) = 15 + 6x2 + 6y2, where x…

A:

Q: 8. Suppose that a particle moves along a straight line with velocity defined by v(t) = t2+3t – 18,…

A:

Q: The flow rate of water through a cylindrical pipe is given by Q = πr²v, where r is the radius of the…

A:

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: 8. Consider an object moving along a line with velocity v(t) = 6t2 - 12t with t measured in seconds…

A:

Q: The volume V of a right-circular cylinder is computed using the values d = 3.2 m for the diameter…

A:

Q: Suppose now that the person begins walking away from the light pole at a constant rate of 0.6 meters…

A: Note: We will only answer up to three sub-parts as the exact one is not specified. Please resubmit…

Q: Use an appropriate local linear approximation to estimate the value of the given quantity. Round…

A:

Q: A particle is moving along the x-axis so that its velocity at any time t≥ 0 is given by v(t) = 5tet…

A: Explanation of the answer is as follows

Q: The velocity of a falling parachutist is given by v = (1 – e- where g = 9.8. For a parachutist with…

A: As per Bartleby's answering guidelines, we can answer only one question. So post the remaining…

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.

Q: If 0 = KHLV-, where k is a constant, and there are possible errors of ±1 per cent in measuring H, L…

A: We will find out the required value.

Q: f the measurement of the side of a cube is increased from 5 cm to 5.2 cm, the approximate increase…

A: Side of cube is increased from 5 to 5.2