Differential Equations: Computing and Modeling (5th Edition), Edwards, Penney & Calvis
5th Edition
ISBN: 9780321816252
Author: C. Henry Edwards, David E. Penney, David Calvis
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 2.5, Problem 18P
Program Plan Intro
Use the improved Euler’s method with step size h=0.1, 0.02, 0.004, and 0.0008 to approximate to five decimal places the value of the solution at ten equally spaced points of the given interval. Print the result in tabular form with appropriate headings.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Two ships are sailing in the fog and being tracked on a small screen. At some point in time, t=0, the first ship, the Andy Daria (AD), is at a point 900 mm from the bottom left corner of the screen along the lower edge. The other ship, the Helinski (H), is located at a point 100 mm above the lower left corner along the left edge. One minute later, the AD has moved to a location that is 3 mm west and 2 mm north of the previous location. The H has moved 4 mm east and 1 mm north. Assume that they will continue to move at a constant speed on their respective linear courses.
Create an illustration of the situation.
Create a parameterization for each of the vessels.
Will the two ships collide if they maintain their speeds and directions? If so, when and where?
Determine the minimum distance between the ships and the time at which they are the closest.
Problem 2.
For the below question, fill in the empty boxes
with your answer (YOUR ANSWER MUST BE
ONLY A NUMBER; DO NOT WRITE UNITS; DO
NOT WRITE LETTERS).
An expanded laser beam Ao = 416 nm is incident
on an aperture screen containing two very narrow
horizontal slits separated by a distance d =
0.3686 mm. A fringe pattern appears on a
viewing screen held a distance L = 1.338
m away.
Aperture screen
S₁
Po
S₂
y =
0 =
mm
y =
ri
a) i=
] How far (in mm) above the central axis
is the third zero of irradiance?
fourth bright band?
L
mm
12
b) [t
How far (in rad) above the central axis
are the third zero of irradiance? (Assume is
small and take = sin(0) = tan(0)).
rad
Viewing screen
P
O
How far (in mm) from the axis is the
Problem 3. A driver on a desert road discovers a hole in the gas tank
leaking gas at the constant rate of 4 gallons per hour. This driver, having no
way to plug the hole, decides to drive for as long as the gas supply allows.
The gauge reading indicates the tank is three-fourths full, which means that
the tank contains 14 gallons. The car consumes gas at the rate of 18 miles per
gallon at 40 mph. For each 5 mph below 40 mph add one-half mile per gallon
to this rate; for each 5 mph above 40 mph, subtract one mile per gallon from
this rate. If the driver chooses the best constant speed in order to get the
maximum driving distance, find the maximum distance that the 14 gallons
will allow. Assume that gas consumption is a continuous function of speed.
Chapter 2 Solutions
Differential Equations: Computing and Modeling (5th Edition), Edwards, Penney & Calvis
Ch. 2.1 - Prob. 1PCh. 2.1 - Prob. 2PCh. 2.1 - Prob. 3PCh. 2.1 - Prob. 4PCh. 2.1 - Prob. 5PCh. 2.1 - Prob. 6PCh. 2.1 - Prob. 7PCh. 2.1 - Prob. 8PCh. 2.1 - Prob. 9PCh. 2.1 - Prob. 10P
Ch. 2.1 - Prob. 11PCh. 2.1 - Prob. 12PCh. 2.1 - Prob. 13PCh. 2.1 - Prob. 14PCh. 2.1 - Prob. 15PCh. 2.1 - Prob. 16PCh. 2.1 - Prob. 17PCh. 2.1 - Prob. 18PCh. 2.1 - Prob. 19PCh. 2.1 - Prob. 20PCh. 2.1 - Prob. 21PCh. 2.1 - Suppose that at time t=0, half of a logistic...Ch. 2.1 - Prob. 23PCh. 2.1 - Prob. 24PCh. 2.1 - Prob. 25PCh. 2.1 - Prob. 26PCh. 2.1 - Prob. 27PCh. 2.1 - Prob. 28PCh. 2.1 - Prob. 29PCh. 2.1 - A tumor may be regarded as a population of...Ch. 2.1 - Prob. 31PCh. 2.1 - Prob. 32PCh. 2.1 - Prob. 33PCh. 2.1 - Prob. 34PCh. 2.1 - Prob. 35PCh. 2.1 - Prob. 36PCh. 2.1 - Prob. 37PCh. 2.1 - Fit the logistic equation to the actual U.S....Ch. 2.1 - Prob. 39PCh. 2.2 - Prob. 1PCh. 2.2 - Prob. 2PCh. 2.2 - Prob. 3PCh. 2.2 - Prob. 4PCh. 2.2 - Prob. 5PCh. 2.2 - Prob. 6PCh. 2.2 - Prob. 7PCh. 2.2 - Prob. 8PCh. 2.2 - Prob. 9PCh. 2.2 - Prob. 10PCh. 2.2 - Prob. 11PCh. 2.2 - Prob. 12PCh. 2.2 - Prob. 13PCh. 2.2 - Prob. 14PCh. 2.2 - Prob. 15PCh. 2.2 - Prob. 16PCh. 2.2 - Prob. 17PCh. 2.2 - Prob. 18PCh. 2.2 - Prob. 19PCh. 2.2 - Prob. 20PCh. 2.2 - Prob. 21PCh. 2.2 - Prob. 22PCh. 2.2 - Prob. 23PCh. 2.2 - Prob. 24PCh. 2.2 - Use the alternatives forms...Ch. 2.2 - Prob. 26PCh. 2.2 - Prob. 27PCh. 2.2 - Prob. 28PCh. 2.2 - Consider the two differentiable equation...Ch. 2.3 - The acceleration of a Maserati is proportional to...Ch. 2.3 - Prob. 2PCh. 2.3 - Prob. 3PCh. 2.3 - Prob. 4PCh. 2.3 - Prob. 5PCh. 2.3 - Prob. 6PCh. 2.3 - Prob. 7PCh. 2.3 - Prob. 8PCh. 2.3 - A motorboat weighs 32,000 lb and its motor...Ch. 2.3 - A woman bails out of an airplane at an altitude of...Ch. 2.3 - According to a newspaper account, a paratrooper...Ch. 2.3 - Prob. 12PCh. 2.3 - Prob. 13PCh. 2.3 - Prob. 14PCh. 2.3 - Prob. 15PCh. 2.3 - Prob. 16PCh. 2.3 - Prob. 17PCh. 2.3 - Prob. 18PCh. 2.3 - Prob. 19PCh. 2.3 - Prob. 20PCh. 2.3 - Prob. 21PCh. 2.3 - Suppose that =0.075 (in fps units, with g=32ft/s2...Ch. 2.3 - Prob. 23PCh. 2.3 - The mass of the sun is 329,320 times that of the...Ch. 2.3 - Prob. 25PCh. 2.3 - Suppose that you are stranded—your rocket engine...Ch. 2.3 - Prob. 27PCh. 2.3 - (a) Suppose that a body is dropped (0=0) from a...Ch. 2.3 - Prob. 29PCh. 2.3 - Prob. 30PCh. 2.4 - Prob. 1PCh. 2.4 - Prob. 2PCh. 2.4 - Prob. 3PCh. 2.4 - Prob. 4PCh. 2.4 - Prob. 5PCh. 2.4 - Prob. 6PCh. 2.4 - Prob. 7PCh. 2.4 - Prob. 8PCh. 2.4 - Prob. 9PCh. 2.4 - Prob. 10PCh. 2.4 - Prob. 11PCh. 2.4 - Prob. 12PCh. 2.4 - Prob. 13PCh. 2.4 - Prob. 14PCh. 2.4 - Prob. 15PCh. 2.4 - Prob. 16PCh. 2.4 - Prob. 17PCh. 2.4 - Prob. 18PCh. 2.4 - Prob. 19PCh. 2.4 - Prob. 20PCh. 2.4 - Prob. 21PCh. 2.4 - Prob. 22PCh. 2.4 - Prob. 23PCh. 2.4 - Prob. 24PCh. 2.4 - Prob. 25PCh. 2.4 - Prob. 26PCh. 2.4 - Prob. 27PCh. 2.4 - Prob. 28PCh. 2.4 - Prob. 29PCh. 2.4 - Prob. 30PCh. 2.4 - Prob. 31PCh. 2.5 - Prob. 1PCh. 2.5 - Prob. 2PCh. 2.5 - Prob. 3PCh. 2.5 - Prob. 4PCh. 2.5 - Prob. 5PCh. 2.5 - Prob. 6PCh. 2.5 - Prob. 7PCh. 2.5 - Prob. 8PCh. 2.5 - Prob. 9PCh. 2.5 - Prob. 10PCh. 2.5 - Prob. 11PCh. 2.5 - Prob. 12PCh. 2.5 - Prob. 13PCh. 2.5 - Prob. 14PCh. 2.5 - Prob. 15PCh. 2.5 - Prob. 16PCh. 2.5 - Prob. 17PCh. 2.5 - Prob. 18PCh. 2.5 - Prob. 19PCh. 2.5 - Prob. 20PCh. 2.5 - Prob. 21PCh. 2.5 - Prob. 22PCh. 2.5 - Prob. 23PCh. 2.5 - Prob. 24PCh. 2.5 - Prob. 25PCh. 2.5 - Prob. 26PCh. 2.5 - Prob. 27PCh. 2.5 - Prob. 28PCh. 2.5 - Prob. 29PCh. 2.5 - Prob. 30PCh. 2.6 - Prob. 1PCh. 2.6 - Prob. 2PCh. 2.6 - Prob. 3PCh. 2.6 - Prob. 4PCh. 2.6 - Prob. 5PCh. 2.6 - Prob. 6PCh. 2.6 - Prob. 7PCh. 2.6 - Prob. 8PCh. 2.6 - Prob. 9PCh. 2.6 - Prob. 10PCh. 2.6 - Prob. 11PCh. 2.6 - Prob. 12PCh. 2.6 - Prob. 13PCh. 2.6 - Prob. 14PCh. 2.6 - Prob. 15PCh. 2.6 - Prob. 16PCh. 2.6 - Prob. 17PCh. 2.6 - Prob. 18PCh. 2.6 - Prob. 19PCh. 2.6 - Prob. 20PCh. 2.6 - Prob. 21PCh. 2.6 - Prob. 22PCh. 2.6 - Prob. 23PCh. 2.6 - Prob. 24PCh. 2.6 - Prob. 25PCh. 2.6 - Prob. 26PCh. 2.6 - Prob. 27PCh. 2.6 - Prob. 28PCh. 2.6 - Prob. 29PCh. 2.6 - Prob. 30P
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.Similar questions
- In each of the following problems, refer to the given figure, solve for the unknowns, and check. Find the distances between the indicated holes. All dimensions are in millimeters. a. Hole 1 to hole 2 b. Hole 2 to hole 3 C. Hole 3 to hole 4 d. Hole 4 to hole 5 e. Hole 5 to hole 6 f. Hole 2 to hole 4 g. Hole 3 to hole 6arrow_forwardFind the unknown value. 27. y varies jointly with x and the cube root of 2. If when x=2 and z=27,y=12, find y if x=5 and z=8.arrow_forwardRefer to Figure 29-9 to determine the values in the table. Allowance is equal to the maximum interference. All dimensions are in millimetersarrow_forward
- For Nos. 1 and 2, determine the following. (No need to write any solution.) a. dependent variable(s) b. independent variable(s) c. type d. linearity e. order f. degreearrow_forwardProblem 8: In a biathalon race you first ride a bicycle at an average speed of 19.9 mi/h for 22 miles, then you must run for another 5.5 miles. With what average speed, in miles per hour, must you run if your average speed for the entire race is to be 11.8 mi/h? V2 avearrow_forwardStep 2 of 3 : Using the model from the previous step, predict the company’s revenue for the 15th month. Round to four decimal places, if necessary. NOTE: Sum of X = 105Sum of Y = 9756Mean X =Mx = 7.5Mean Y=My = 696.8571Sum of squares (SSX) = 227.5Sum of products (SP) = 8132Regression Equation = ŷ = b0 + b1Xb1 = SP/SSX = 8132/227.5 = 35.74505b0 = MY - b1MX = 696.86 - (35.75*7.5) = 428.76923ŷ = 428.7692 + 35.7451X Hence the regression equation is ; Revenue = 428.7692 + 35.7451 (Month ) ( answer)arrow_forward
- Consider an aquarium with a 75 gallon tank. If the aquarium has a water pump that pumps water at a rate of 227 gallons per hour, calculate the residence time (in minutes) Round your answer to the nearest minutearrow_forwardThe time at which the depth of the ocean at a given location is at its maximum is known as high tide, while the time at which the depth of the ocean at a given location is at its minimum is known as low tide. A measurement taken at a recording station at 10 a.m. determined the depth at high tide to be 2.25 feet. At 10 p.m., the depth of low tide was measured to be 0.5 feet. This pattern was seen to repeat each day. Part A: What type of function models the depth of the water at time t hours after high tide? Part B: Find a model to determine the depth of the water, d(t), at any given time t. d(t) = CEE PRIVACY POLICY E CREDITS E CA RESIDENTS: DO NOT SELL MY INFOE 8.arrow_forwardQuestion Barrow_forward
- Question 1:Atmospheric pressure P decreases as altitude h increases. At a temperature of 15°C, the pressure is 101.3 kilopascals (kPa) at sea level, 87.1 kPa at h = 1 km, and 74.9 kPa at h = 2 km. Use a linear approximation to estimate the atmospheric pressure at an altitude of 3 km. Please help me explain how to solve these word problems! From the pictures and the word problem above, thanks!arrow_forwardProblem1 : For values x=[ 1:1:25], plot yl= 2 x +1 and y2= x+ 0.5arrow_forwardQuestion # 10 Calculate The Average Speed Reference Q. 15261 Al and Bob, who live in North Vancouver, are Seattle Mariners fans. They regularly drive the 264 km from their home to the ballpark in Seattle. On one particular day, Bob drove to the game. On the return journey Al was able to increase their average speed by 10% and save 18 minutes on the travelling time. Calculate the average speed at which Bob drove the game. Calculate the time it took Al to drive back from the game. biuov lout rbirw.(HO HDlonisrte bne H) anscue to asitenob n ebor to Jriait nl bne zenu nb ba nlera mont abnuogrnop uol or ot ascisv Hàso 2s alomsxe 1o) loutio elom eq pseh ar 0o2om to tedmun srir yd a noimss ol negyxo to elom 1ag HA6 LODvig iweiT (onsrio tr mot bezeelen sd nga ot nene to muons ar upda yse uea air a Sanoibeg noarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
Mathematics For Machine Technology
Advanced Math
ISBN:9781337798310
Author:Peterson, John.
Publisher:Cengage Learning,
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage