Mathematics for the Trades: A Guided Approach (10th Edition) - Standalone book
10th Edition
ISBN: 9780133347777
Author: Robert A. Carman Emeritus, Hal M. Saunders
Publisher: PEARSON
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Chapter 8, Problem 8DPS
Metalworking Find the length of straight stock needed to bend
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Problem1
We consider a two-period binomial model with the following properties: each period lastsone (1) year and the current stock price is S0 = 4. On each period, the stock price doubleswhen it moves up and is reduced by half when it moves down. The annual interest rateon the money market is 25%. (This model is the same as in Prob. 1 of HW#2).We consider four options on this market: A European call option with maturity T = 2 years and strike price K = 5; A European put option with maturity T = 2 years and strike price K = 5; An American call option with maturity T = 2 years and strike price K = 5; An American put option with maturity T = 2 years and strike price K = 5.(a) Find the price at time 0 of both European options.(b) Find the price at time 0 of both American options. Compare your results with (a)and comment.(c) For each of the American options, describe the optimal exercising strategy.
Please ensure that all parts of the question are answered thoroughly and clearly. Include a diagram to help explain answers. Make sure the explanation is easy to follow. Would appreciate work done written on paper. Thank you.
This question builds on an earlier problem. The randomized numbers may have changed, but have your work for the previous problem available to help with this one.
A 4-centimeter rod is attached at one end to a point A rotating counterclockwise on a wheel of radius 2 cm. The other end B is free to move back and forth along a horizontal bar that goes through the center of the wheel. At time t=0 the rod is situated as in the diagram at the left below. The
wheel rotates counterclockwise at 1.5 rev/sec. At some point, the rod will be tangent to the circle as shown in the third picture.
A
B
A
B
at some instant, the piston will be tangent to the circle
(a) Express the x and y coordinates of point A as functions of t:
x= 2 cos(3πt)
and y= 2 sin(3t)
(b) Write a formula for the slope of the tangent line to the circle at the point A at time t seconds:
-cot(3πt)
sin(3лt)
(c) Express the x-coordinate of the right end of the rod at point B as a function of t: 2 cos(3πt) +411-
4
-2 sin (3лt)
(d)…
Chapter 8 Solutions
Mathematics for the Trades: A Guided Approach (10th Edition) - Standalone book
Ch. 8.1 - A. Solve the following. If you need a protractor,...Ch. 8.1 - Use the geometry relationships to answer the...Ch. 8.1 - Use the geometry relationships to answer the...Ch. 8.1 - In each figure, two parallel lines are cut by a...Ch. 8.1 - Machine Trades A machinist receives a sketch of a...Ch. 8.1 - Carpentry A carpenter wishes to make a...Ch. 8.1 - Carpentry A carpenters square is placed over a...Ch. 8.1 - Carpentry Board 1 must be joined to board 2 at a...Ch. 8.1 - Welding In the pipe flange shown, the six bolt...Ch. 8.2 - Find the perimeter of each polygon.
Ch. 8.2 - Find the perimeter of each polygon.Ch. 8.2 - Find the perimeter of each polygon.Ch. 8.2 - Find the perimeter of each polygon.Ch. 8.2 - Find the perimeter of each polygon.Ch. 8.2 - Find the perimeter of each polygon.Ch. 8.2 - Find the perimeter of each polygon.Ch. 8.2 - Find the perimeter of each polygon.Ch. 8.2 - Find the perimeter of each polygon.Ch. 8.2 - Find the perimeter of each polygon.Ch. 8.2 - Find the perimeter of each polygon.Ch. 8.2 - Find the perimeter of each polygon.Ch. 8.2 - Find the perimeter and area of each figure. (Round...Ch. 8.2 - Find the perimeter and area of each figure. (Round...Ch. 8.2 - Find the perimeter and area of each figure. (Round...Ch. 8.2 - Find the perimeter and area of each figure. (Round...Ch. 8.2 - Find the perimeter and area of each figure. (Round...Ch. 8.2 - Find the perimeter and area of each figure. (Round...Ch. 8.2 - Find the perimeter and area of each figure. (Round...Ch. 8.2 - Find the perimeter and area of each figure. (Round...Ch. 8.2 - Find the perimeter and area of each figure. (Round...Ch. 8.2 - Find the perimeter and area of each figure. (Round...Ch. 8.2 - Find the perimeter and area of each figure. (Round...Ch. 8.2 - Find the perimeter and area of each figure. (Round...Ch. 8.2 - Masonry How many bricks will it take to build the...Ch. 8.2 - Carpentry How many square feet of wood are needed...Ch. 8.2 - Flooring and Carpeting The floor plan of a room is...Ch. 8.2 - Construction The amount of horizontal wood siding...Ch. 8.2 - Flooring and Carpeting How many bundles of strip...Ch. 8.2 - Construction A large rectangular window opening...Ch. 8.2 - Masonry Find the area of one stretcher course of...Ch. 8.2 - Masonry To determine the approximate number of...Ch. 8.2 - Prob. 9CECh. 8.2 - Prob. 10CECh. 8.2 - Prob. 11CECh. 8.2 - Printing A ream of 17-in. by 22-in. paper weighs...Ch. 8.2 - Prob. 13CECh. 8.2 - Prob. 14CECh. 8.2 - Construction A playground basketball court 94 ft...Ch. 8.2 - Landscaping At 51 cents per square foot, plus a...Ch. 8.2 - Agriculture Fertilizer must be applied to the...Ch. 8.2 - Agriculture In problem 17, the plot of land must...Ch. 8.2 - Prob. 19CECh. 8.2 - Prob. 20CECh. 8.2 - Prob. 21CECh. 8.2 - Flooring and Carpeting When expressed in U.S....Ch. 8.2 - Prob. 23CECh. 8.2 - Prob. 24CECh. 8.2 - Prob. 25CECh. 8.2 - Prob. 26CECh. 8.3 - Find the missing dimensions of each figure shown....Ch. 8.3 - Prob. 2AECh. 8.3 - Prob. 3AECh. 8.3 - Prob. 4AECh. 8.3 - Prob. 5AECh. 8.3 - Prob. 6AECh. 8.3 - Prob. 7AECh. 8.3 - Prob. 8AECh. 8.3 - Prob. 9AECh. 8.3 - Prob. 10AECh. 8.3 - Prob. 11AECh. 8.3 - Prob. 12AECh. 8.3 - Prob. 13AECh. 8.3 - Prob. 14AECh. 8.3 - Prob. 15AECh. 8.3 - Prob. 16AECh. 8.3 - Prob. 17AECh. 8.3 - Prob. 18AECh. 8.3 - Prob. 19AECh. 8.3 - Prob. 20AECh. 8.3 - Prob. 21AECh. 8.3 - Prob. 22AECh. 8.3 - Prob. 1BECh. 8.3 - Prob. 2BECh. 8.3 - Prob. 3BECh. 8.3 - Prob. 4BECh. 8.3 - Prob. 5BECh. 8.3 - Prob. 6BECh. 8.3 - Prob. 7BECh. 8.3 - Prob. 8BECh. 8.3 - Prob. 9BECh. 8.3 - Prob. 10BECh. 8.3 - Prob. 11BECh. 8.3 - Prob. 12BECh. 8.3 - Prob. 13BECh. 8.3 - Prob. 14BECh. 8.3 - Prob. 15BECh. 8.3 - Prob. 16BECh. 8.3 - Prob. 17BECh. 8.3 - Prob. 18BECh. 8.3 - Prob. 19BECh. 8.3 - Prob. 20BECh. 8.3 - Prob. 21BECh. 8.3 - Prob. 22BECh. 8.3 - Prob. 23BECh. 8.3 - Prob. 24BECh. 8.3 - C. Practical Applications 1. Painting At 460 sq ft...Ch. 8.3 - Sheet Metal Trades A four-sided vent connection...Ch. 8.3 - Roofing The aerial view of a roof is shown in the...Ch. 8.3 - Roofing In problem 3, how many feet of gutters are...Ch. 8.3 - Carpentry Allowing for a 3-ft overhang, how long a...Ch. 8.3 - Metalworking A cut is to be made in a piece of...Ch. 8.3 - Prob. 7CECh. 8.3 - Construction Find the area of the gable end of the...Ch. 8.3 - Construction Find the missing dimensions x and y...Ch. 8.3 - Welding The steel gusset shown is made in the...Ch. 8.3 - Prob. 11CECh. 8.3 - C. Practical Applications 12. Construction A...Ch. 8.3 - Prob. 13CECh. 8.3 - C. Practical Applications 14. Agriculture A plot...Ch. 8.3 - Prob. 15CECh. 8.3 - Prob. 16CECh. 8.3 - Prob. 17CECh. 8.3 - Prob. 18CECh. 8.4 - Find the missing quantities for each circle. Use...Ch. 8.4 - Find the missing quantities for each circle. Use...Ch. 8.4 - Find the missing quantities for each circle. Use...Ch. 8.4 - Find the missing quantities for each circle. Use...Ch. 8.4 - Prob. 5AECh. 8.4 - Prob. 6AECh. 8.4 - Find the circumference and area of each circle....Ch. 8.4 - Prob. 2BECh. 8.4 - Find the circumference and area of each circle....Ch. 8.4 - Prob. 4BECh. 8.4 - Prob. 5BECh. 8.4 - Prob. 6BECh. 8.4 - Prob. 7BECh. 8.4 - Prob. 8BECh. 8.4 - Prob. 9BECh. 8.4 - Prob. 10BECh. 8.4 - Prob. 1CECh. 8.4 - Prob. 2CECh. 8.4 - Prob. 3CECh. 8.4 - Prob. 4CECh. 8.4 - Prob. 5CECh. 8.4 - Prob. 6CECh. 8.4 - Prob. 7CECh. 8.4 - Prob. 8CECh. 8.4 - Prob. 9CECh. 8.4 - Prob. 10CECh. 8.4 - Prob. 11CECh. 8.4 - Prob. 12CECh. 8.4 - Find the length of stock needed to create each...Ch. 8.4 - Prob. 14CECh. 8.4 - Find the length of stock needed to create each...Ch. 8.4 - Metalworking What length of 1-in. stock is needed...Ch. 8.4 - Landscaping (a) Calculate, to the nearest square...Ch. 8.4 - Machine Trades What diameter must a circular piece...Ch. 8.4 - Machine Trades In problem 3, how many square...Ch. 8.4 - Plumbing What is the cross-sectional area of a...Ch. 8.4 - Machine Trades In the piece of steel shown in the...Ch. 8.4 - Plumbing How much additional cross-sectional area...Ch. 8.4 - Machine Trades What diameter round stock is needed...Ch. 8.4 - Landscaping How many plants spaced every 6 in. are...Ch. 8.4 - Machine Trades What diameter circular stock is...Ch. 8.4 - Carpentry At 11.25 per foot for the curved portion...Ch. 8.4 - Sports and Leisure If the radius of the...Ch. 8.4 - Prob. 13DECh. 8.4 - Electrical Trades An electrician bends a 12-in....Ch. 8.4 - Metalworking How many inches apart will eight...Ch. 8.4 - Landscaping How many square yards of concrete...Ch. 8.4 - Prob. 17DECh. 8.4 - Prob. 18DECh. 8.4 - Prob. 19DECh. 8.4 - Prob. 20DECh. 8.4 - Water/Wastewater Treatment To find the velocity of...Ch. 8.4 - Prob. 22DECh. 8.4 - Plumbing To construct a bracket for a drain pipe,...Ch. 8.4 - Culinary Arts A small pizza at Papas Pizza Place...Ch. 8.4 - D. Practical Applications Sports and Leisure Two...Ch. 8.4 - D. Practical Applications Forestry Forest service...Ch. 8.4 - Prob. 27DECh. 8 - Classify angles. (a) (a) DEF is _____ (b) (b) GHI...Ch. 8 - Prob. 3PCh. 8 - Identify polygons, including triangles, squares,...Ch. 8 - Use the Pythagorean theorem.Ch. 8 - Prob. 6PCh. 8 - Prob. 7PCh. 8 - Solve the following problems involving angles....Ch. 8 - Solve the following problems involving angles....Ch. 8 - Solve the following problems involving angles....Ch. 8 - Solve the following problems involving angles....Ch. 8 - Solve the following problems involving angles....Ch. 8 - Solve the following problems involving angles....Ch. 8 - A. Solve the following problems involving angles....Ch. 8 - Prob. 1BPSCh. 8 - Prob. 2BPSCh. 8 - Prob. 3BPSCh. 8 - Prob. 4BPSCh. 8 - Prob. 5BPSCh. 8 - Prob. 6BPSCh. 8 - Prob. 7BPSCh. 8 - Prob. 8BPSCh. 8 - Prob. 9BPSCh. 8 - Prob. 10BPSCh. 8 - Prob. 11BPSCh. 8 - Prob. 12BPSCh. 8 - Prob. 13BPSCh. 8 - Prob. 14BPSCh. 8 - Prob. 15BPSCh. 8 - Prob. 16BPSCh. 8 - Prob. 17BPSCh. 8 - Prob. 18BPSCh. 8 - Prob. 19BPSCh. 8 - Find the missing dimensions of the following...Ch. 8 - Find the missing dimensions of the following...Ch. 8 - Find the missing dimensions of the following...Ch. 8 - Find the missing dimensions of the following...Ch. 8 - Find the missing dimensions of the following...Ch. 8 - Prob. 6CPSCh. 8 - Find the radius of a circle with a circumference...Ch. 8 - Find the diameter of a circle with a circumference...Ch. 8 - Prob. 9CPSCh. 8 - Construction What will it cost to pave a...Ch. 8 - Metalworking A steel brace is used to strengthen...Ch. 8 - D. Practical Applications Machine Trades Holes are...Ch. 8 - Masonry How many square feet of brick are needed...Ch. 8 - Prob. 5DPSCh. 8 - Prob. 7DPSCh. 8 - Metalworking Find the length of straight stock...Ch. 8 - Machine Trades A hexagonal piece of steel 9 in. on...Ch. 8 - Construction How much guy wire is needed to anchor...Ch. 8 - Carpentry How many 4-ft by 8-ft sheets of exterior...Ch. 8 - Prob. 12DPSCh. 8 - Metalworking A triangular shape with a base of 6...Ch. 8 - Construction An air shaft is drilled from the...Ch. 8 - Prob. 16DPSCh. 8 - Life Skills A 17-ft roll of weather stripping...Ch. 8 - Prob. 18DPSCh. 8 - Manufacturing What length of belt is needed for...Ch. 8 - Electrical Trades Electrical conduit must conform...Ch. 8 - Construction At 11 per square foot, how much will...Ch. 8 - Prob. 22DPSCh. 8 - Prob. 23DPSCh. 8 - Prob. 24DPSCh. 8 - Prob. 25DPSCh. 8 - Prob. 26DPSCh. 8 - Prob. 27DPSCh. 8 - Prob. 28DPSCh. 8 - Agriculture The plot of farmland shown in the...Ch. 8 - Prob. 30DPSCh. 8 - Masonry The figure shows a rectangular swimming...Ch. 8 - Prob. 32DPS
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- 5. [-/1 Points] DETAILS MY NOTES SESSCALCET2 6.5.AE.003. y y= ex² 0 Video Example x EXAMPLE 3 (a) Use the Midpoint Rule with n = 10 to approximate the integral कर L'ex² dx. (b) Give an upper bound for the error involved in this approximation. SOLUTION 8+2 1 L'ex² d (a) Since a = 0, b = 1, and n = 10, the Midpoint Rule gives the following. (Round your answer to six decimal places.) dx Ax[f(0.05) + f(0.15) + ... + f(0.85) + f(0.95)] 0.1 [0.0025 +0.0225 + + e0.0625 + 0.1225 e0.3025 + e0.4225 + e0.2025 + + e0.5625 €0.7225 +0.9025] The figure illustrates this approximation. (b) Since f(x) = ex², we have f'(x) = 0 ≤ f'(x) = < 6e. ASK YOUR TEACHER and f'(x) = Also, since 0 ≤ x ≤ 1 we have x² ≤ and so Taking K = 6e, a = 0, b = 1, and n = 10 in the error estimate, we see that an upper bound for the error is as follows. (Round your final answer to five decimal places.) 6e(1)3 e 24( = ≈arrow_forward1. Consider the following preference ballots: Number of voters Rankings 6 5 4 2 1st choice A DCB DC 2nd choice B B D 3rd choice DCBD 4th choice CA AAA For each of the four voting systems we have studied, determine who would win the election in each case. (Remember: For plurality with runoff, all but the top two vote-getters are simultaneously eliminated at the end of round 1.)arrow_forwardPractice k Help ises A 96 Anewer The probability that you get a sum of at least 10 is Determine the number of ways that the specified event can occur when two number cubes are rolled. 1. Getting a sum of 9 or 10 3. Getting a sum less than 5 2. Getting a sum of 6 or 7 4. Getting a sum that is odd Tell whether you would use the addition principle or the multiplication principle to determine the total number of possible outcomes for the situation described. 5. Rolling three number cubes 6. Getting a sum of 10 or 12 after rolling three number cubes A set of playing cards contains four groups of cards designated by color (black, red, yellow, and green) with cards numbered from 1 to 14 in each group. Determine the number of ways that the specified event can occur when a card is drawn from the set. 7. Drawing a 13 or 14 9. Drawing a number less than 4 8. Drawing a yellow or green card 10. Drawing a black, red, or green car The spinner is divided into equal parts. Find the specified…arrow_forward
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