5.7 Numerical Integration41534. The data set for 80 hours of the discharge (in m /s)for the Raging River is shown here:4.340608090HoursldThe data set for the first 24 hours is summarized inthe following table:m³/sm/sm'/s5.45104.81204.065.41124.67223.9745.25144.49243.836.5.10164.298.5.00184.19Use Simpson's rule to estimate the total amount ofdischarge in the first 24 hours.35. Sweet corn has a lower development threshold of20O NS/gu

Simpsons rule for the function f(x) over [a,b] is given as:…

Answered: Use Simpson's rule to estimate the…

Math

Calculus

Use Simpson's rule to estimate the total anm discharge in the first 24 hours. TO

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

See similar textbooks

Related questions

Q: A cleaning service company found that the operating costs increase at a rate of 24x - 10x thousand…

Q: All edges of a cube are expanding at a rate of 8 centimeters per second. (a) How fast is the surface…

Q: Define the term“constant integration”?

Q: A board 5 feet long slides down a wall. At the instant the bottom end is 4 feet from the wall, the…

Q: The surface area of kelp near Monterrey Bay is 40,000 square acres, but after four years a red sea…

Q: The mass of caffeine in the bloodstream decreased rapidly at first, and then more slowly.

A: Given statement: The mass of caffeine in the bloodstream decreased rapidly at first, and then more…

Q: A new fuel for recreational boats being developed at the local university was tested at an area pond…

A: Please check step 2 for the solution.!

Q: A 20" by 14' piece of metal has squares cut from corners and thn is folded to create an open box.…

A: Length of metal sheet= 20 inches Breadth = 14 inches Let squares of side x inch have been cut from…

Q: A particular type of mold is growing 9.7% per hour. Assuming that mold growth continues at this…

Q: A honeybee population starts with 100 bees and increasesat a rate of n'(t) bees per week. What does…

A: Given data: The initial honeybee population is n(0)=100. If n'(t) is the rate at which the…

Q: All edges of a cube are expanding at a rate of 3 cm per sec. How fast is the volume changing when…

Q: A spherical iron ball 8 in. in diameter is coated with a layer of ice of uniform thickness. If the…

A: A spherical iron ball 8 in. in diameterSo radius = 8/2 = 4 inchLet the ice on the ball is x inches…

Q: How can you sometimes estimate quantities like distance traveled, area, and average value with…

A: Let the function defined over [a,b]. And the interval is divided into n subintervals of equal width

Q: Use Simpson's Rule to determine the average temperature in a museum over a 3-hour period

A: In this question, we use the Simpson rule to approximate the average value of temperature for 3…

Q: All edges of a cube are expanding at a rate of 8 centimeters per second. (a) How fast is the surface…

Q: Find dV (estimated change in volume) if the side of a cube change from 10 to 10.1

Q: If we know the rate of growth of a patch of moss, how can we calculate the area the moss covers?

A: The rate of growth of a patch of moss is modeled by a complex function A't, where t is measured in…

Q: A spherical iron ball 8 inches in diameter in coated with a layer of ide of uniform thickness. If…

Q: Find the average rate of increase in population which in the first decade has increased by 20%, in…

Q: Find the rate of change. Volume of a cube with respect to its sides when s = 5

A: The volume of a cube with side s is V=s3 Differentiate with respect to s dVds=ddss3=3s2

Q: Determine an upper bound for the total amount of Coke that could have flowed into the room during…

A: Given data of coke factory. At time t=0, R(0) = 1.2 gallons/minute At time t=12 ,R(12) = 1.4…

Q: . The volume of a cube is increasing at a rate of 10 cm³/min. How fast is the surface area…

A: Given : Volume a cube is increasing at a rate of 10 cm³/min.

Q: A stone dropped into a still pond on a calm day sends out a circular ripple. If the radius increases…

Q: The following model allows the return to education to depend upon the total amount of both parents'…

A: Note: Hi there! Thank you for posting the question. As you have posted multiple questions, as per…

Q: 5. The volume of a cube is increasing at a rate of 10 cm³/min . How fast is the surface area…

A: Given:- The volume of a cube is increasing at a rate of 10 cm³/min. To find:- How fast is the…

Q: An IV piggyback was ordered for Ampicillin 500 mg to be incorporated in 100 mL of D5W to run for one…

A: The solution for the above question is as shown below.

Q: A board 15 feet long slides down a wall. At the instant the bottom end is 12 feet from the wall, the…

A: A board 15 feet long slides down a wall. At the instant the bottom end is 12 feet from the wall, the…

Q: Solve for average value of the function within interval [0,20]

Q: All edges of a cube are expanding at a rate of 2 centimeters per second. (a) How fast is the surface…

A: All edges of a cube are expanding at a rate of 2 centimeters per second.

Q: 1. Suppose that oil spills from a container and spreads in a circular pattern. If the radius of the…

Q: What is the amount of time required for overflow to occur? What is the amount of salt in the tank at…

A: First you have to develop the differential equations and put the value of time and get the answer.

Q: Suppose that the value of a yacht in dollars after t years of use is -0,24t What is the average…

A: Given:- Suppose that the value of a yacht in dollars after t years of use is V(t) = 150000e-0.24t…

Q: All edges of a cube are expanding at a rate of 8 centimeters per second. (a) How fast is the surface…

Q: What is the expected Carbon Monoxide Concentration (PPM) if the traffic volume (cars per hour) is…

A: First we have to find the regression line using least square methods. It is given that Number of…

Q: A metal cube dissolves in acid such that an edge of the cube decreases by 0.70 mm/min. How fast is…

A: For a cube, length of all the sides will be same. So the volume of a cube is a³. Where 'a' is the…

Q: A metal cube dissolves in acid such that an edge of the cube decreases by 0.40 mm/min. How fast is…

Q: The length of time Y, in minutes, required to generate a human reflex to tear gas has the density…

A: f(y)=14e−y4,0≤y<∞0,elsewhere we have to find the standard deviation : We know that standard…

Q: If the first swing of this pendulum travels for 42 cm and its successive swing decreases by 20%,…

A: The distance travelled by the pendulum in the first swing is d1=42 cm. The distance travelled in the…

Q: The edge x of a cube is measured with an error of at most 0.5%.What is the maximum corresponding…

A: Given: Let x be the edge of the cube with an error of 0.5%.

Q: A toxic radioactive substance with a density of 9 milligrams per square cm is detected in the…

A: It is given that, A toxic radioactive substance with a density of 9 milligrams per square cm is…

Q: ·A machine is assumed to depreciate at the rate of 35.5% p.a. in valuc in the first year, a 22.5%…

Q: A conical glass, 10cm high and 8cm in diameter at the top is filled with an exquisite wine to a…

A: Find the sum of volume of the wine and ice cube and compare with the total volume of the conical…

Q: All edges of a cube are expanding at a raete of 6 centimeters per second. How fast is the surface…

Q: Suppose that a spherical balloon is being inflated and the radius of the balloon is increasing at a…

Q: Use Simpson's rule to calculate

A: Given, ∫02x2sinxdx

Q: If the total depreciation after 1 year and 2 years in an equipment are 21,776 and 36,153…

A: We have to find salvage value

Q: A car travels from A to B at an average speed of 80 kph and back to A without loss of time at an…

Q: All edges of a cube are expanding at a rate of 6 centimeters per second. How fast is the volume…

A: Given that, All edges of a cube are expanding at a rate of 6 centimeters per second. Thus, dxdt=6…

Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

5.7 Numerical Integration
415
34. The data set for 80 hours of the discharge (in m /s)
for the Raging River is shown here:
4.
3
40
60
80
90
Hours
ld
The data set for the first 24 hours is summarized in
the following table:
m³/s
m/s
m'/s
5.45
10
4.81
20
4.06
5.41
12
4.67
22
3.97
4
5.25
14
4.49
24
3.83
6.
5.10
16
4.29
8.
5.00
18
4.19
Use Simpson's rule to estimate the total amount of
discharge in the first 24 hours.
35. Sweet corn has a lower development threshold of
20
O N
S/gu

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions

a tank in which 1 gram of chlorine is initially present in 80.38 m3 of a solution of water and chlorine. A chlorine solution concentrated at 1.49 g/m3 flows into the tank at a rate of 3 m3 /min, while the uniformly mixed solution exits the tank at 7 m3 /min. What will be the amount of chlorine present in the tank after 1 minute?
Find the average value of ƒ(x) = e2x on [0, ln 2].
If Q = f (x, y) and considering increases in both variables, how is expressed the total differential dQ? -What does a total differential measure us? -What is the term (dQ/dx . ∆x) within the total spread?
The instantaneous flow rate of kerosene flowing through a pipe in 1000 kg/h is reported to be as follows Time, min 0 15 30 45 60 75 90 105 120 Flow rate, kg/s x 10-3 2.7 2.1 1.8 1.8 2.0 2.3 2.6 3.0 3.6 Calculate the total quantity of oil flowing in the pipe during the two-hour period using Simpson’s one-third rul
the joint distribution of Y and X is given by: 4/3 · ln y, and the follow boundary: 0<x<y<1 Determine the distribution of U = −log(Y/X)
A yeast culture weighing 2 grams is removed from a refrigerator unit and is expected to grow at the rate of W′(t)=0.3e^0.2t grams per hour at a higher controlled temperature. How much will the weight of the culture increase during the first 5 hours of growth? How much will the weight of the culture increase from the end of the 5th hour to the end of the 10th hour of growth?
A ball is dropped from a state of rest at time t=0t=0.The distance traveled after tt seconds is s(t)=16t^2 ft(a) How far does the ball travel during the time interval [1,1.5] ?Δs= ft(b) Compute the average velocity over [1,1.5] .Δs/Δt= ft/sec(c) Compute the average velocity over time intervals [1, 1.01] , [1, 1.001] , [1, 1.0001] , [0.9999, 1] , [0.999, 1] , [0.99, 1] .Use this to estimate the object's instantaneous velocity at t=1 .V(1)= ft/sec
In the tank of 100 liters of brine containing 67kg totally dissolved salt. Pure water is allowed to run into the tank at the rate of 3 liters per minute. Brine runs out of the tank at rate of 2 liters minute. The instantaneous concentration in the tank is kept uniform by stirring. How much salt is in the tank at the end of 1 hour?
Compute the average rate of change of g(x)=1/x over the interval [1, 1+x]. Simplify the expression as much as possible.
In an oil refinery, a storage tank contains 2000 gal of gasoline that initially has 100 lb of an additive dissolved in it. In preparation for winter weather, gasoline containing 2 lb of additive per gallon is pumped into the tank at a rate of 40 gal/min. The well-mixed solution is pumped out at a rate of 45 gal/min. How much of the additive is in the tank 20 min after the pumping process begins (Attached Figure 16.7)?
The increase in carbon dioxide (CO2) in the atmosphere is a major cause of global warming. Using data obtained by Charles David Keeling, professor at Scripps Institution of Oceanography, the average amount of CO2 in the atmosphere from 1958 through 2010 is approximated by A(t) = 0.012313t2 + 0.7545t + 313.9 (1 ≤ t ≤ 53) where A(t) is measured in parts per million volume (ppmv) and t in years, with t = 1 corresponding to 1958.† Find the average amount of CO2 in the atmosphere from 1958 through 2010. (Round your answer to two decimal places.) ppmv
A tank contains 100 liters of brine, with 50 kg total dissolved salt. Saltwater, with a concentration of 0.5 kg per liter, is allowed to run into the tank at the rate of 3 liters a minute. Brine run out of the tank at the rate of 2 liters a minute. The instantaneous concentration in the tank is kept uniform by stirring. How much salt is in the tank at the end of one hour?