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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter2: Linear Equations

Section2.7: Litereal Equations And Dimensional Analysis

Problem 25PPS

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 driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the time read exactly 3:40 p.m. At this time, he started pumping gas into the tank. At exactly 3:44, the tank was full and he noticed that he had pumped 10.7 gallons. What is the average rate of flow of the gasoline into the gas tank?
Find the mean hourly cost when the cell phone described above is used for 240 minutes.
Suppose that a customer is purchasing a car. He conducts an experiment in which he puts 10 gallons of gas in the car and drives it until it runs out of gas. He conducts this experiment 15 times on each car and records the number of miles driven. Median for Car 2 M = 250 mi / 10 gal (Type an integer or decimal rounded to one decimal place as needed.) Full data setO Range for Car 1 R=O mi / 10 gal (Type an integer or decimal rounded to one decimal place as needed.) Car 1 245 242 215 244 220 265 291 160 284 251 169 319 257 306 267 Range for Car 2 R=O mi / 10 gal (Type an integer or decimal rounded to one decimal place as needed.) Car 2 230 206 214 236 242 256 245 255 241 264 276 252 250 251 257
Radon is a gas emitted from the ground that can collect in houses in buildings. At certain levels it can cause lung cancer. Radon concentrations are measured in picocuries per liter (pCi/L). A radon level of 4 pCi/L is considered “acceptable” Radon levels in a house vary from week to week. In one house, a sample of 6 weeks had the following readings for radon level (in pCi/L): 1.9 2.8 3.9 3.9 4.2 5.7 Find the variance and standard deviation (definitional formula). Show your work using a table.
Calcium is essential to tree growth because it promotes the formation of wood and maintains cell walls. In 1990, the concentration of calcium in precipitation in a certain area was 0.15 milligrams per liter (mg/L). A random sample of 10 precipitation dates in 2007 results in the following data table. Complete parts (a) through (c) below. Click the icon to view the data table. (a) State the hypotheses for determining if the mean concentration of calcium precipitation has changed since 1990. Но Ho: 0.15 mg/L H1: 0.15 mg/L i Data Table (b) Construct a 95% confidence interval about the sample mean concentration of calcium precipitation. The lower bound is The upper bound is (Round to four decimal places as needed.) 0.237 0.067 0.224 0.126 0.081 0.131 0.075 0.171 0.314 0.091 (c) Does the sample evidence suggest that calcium concentrations have changed since 1990? Print Done A. Yes, because the confidence interval does not contain 0.15 mg/L. B. Yes, because the confidence interval contains…
The value of a piece of a vehicle after t years is given by V = 47,500 (0.7). Round all your answers to two decimal places. a) Find the value after 2 years and 5 years. [2A] b) Find the average rate of depreciation (rate of change) between the above periods
Estimate how much the flow deacreased per day (flow/day) from noon on March 3 to noon on March 10 Discharge, cubic feet per second Most recent instantaneous value: 3.83 03-10-2021 16:00 AST USGS 50067e00 RIO SABRANA AT SABANA, PR 8.8 7.0 5.8 3.0 Har 03 2021 Har 04 2021 Har 87 2021 Provisional Data Sub ject to Revision -- Har 05 2021 Har 86 2021 Har 88 2021 Har 09 2021 Mar 18 2021 Hedian daily statistic (41 yeare) Discharge Tu respuesta Discharge, cubic feet per second
Shortleaf Pines. The ability to estimate the volume of a tree based on a simple measurement, such as the diameter of the tree, is important to the lumber industry, ecologists, and conservationists. Data on volume, in cubic feet, and diameter at breast height, in inches, for 70 shortleaf pines was reported in C. Bruce and F. X. Schumacher’s Forest Mensuration (New York: McGraw-Hill, 1935) and analyzed by A. C. Akinson in the article “Transforming Both Sides of a Tree” (The American Statistician, Vol. 48, pp. 307–312). The data are provided on the WeissStats site. a. obtain and interpret the standard error of the estimate. b. obtain a residual plot and a normal probability plot of the residuals. c. decide whether you can reasonably consider Assumptions 1–3 for regression inferences met by the two variables under consideration.
The following data are given for a biogas digester suitable for the output of six cows. The volume of digester is 8.8 m³, the volume of gas holder is 3 m³ and the retention time is 23 days. Find the height of gas holder height of gas holder =. cm
2.7 2.8 2.9 3.1 2435 2975 3633 4438 5420 Estimate h'(2.9) using the table above. h'(2.9) ~
1. 16m = mm %3D (6 Points)
The variable X, is the carbon monoxide concentration in air, and ten measurements are obtained as follows: 10.25, 10.37, 10.66, 10.47, 10.56, 10.22, 10.44, 10.38, 10.63, 10.40 mg/m3 . (i) Test whether the mean concentration of carbon monoxide in air is 10.00 mg/m3 . (ii) Calculate the power of the above test if the mean concentration of carbon monoxide in the alternative hypothesis is assumed to be 10.75mg/m3 .