EBK MATHEMATICS FOR THE TRADES
10th Edition
ISBN: 9780100803053
Author: SAUNDERS
Publisher: YUZU
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Chapter 9.3, Problem 8CE
Industrial Technology How high should a 50-gal cylindrical tank be if it must fit into an area allowing a 16-in. diameter? (1 gal = 231 in.3)
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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 9 Solutions
EBK MATHEMATICS FOR THE TRADES
Ch. 9.1 - Find the volume of each of the following right...Ch. 9.1 - Find the volume of each of the following right...Ch. 9.1 - Find the volume of each of the following right...Ch. 9.1 - Find the volume of each of the following right...Ch. 9.1 - Prob. 5AECh. 9.1 - Find the volume of each of the following right...Ch. 9.1 - Find the volume of each of the following right...Ch. 9.1 - Find the volume of each of the following right...Ch. 9.1 - Find the lateral surface area and the volume of...Ch. 9.1 - Find the lateral surface area and the volume of...
Ch. 9.1 - Find the lateral surface area and the volume of...Ch. 9.1 - Find the lateral surface area and the volume of...Ch. 9.1 - Find the lateral surface area and the volume of...Ch. 9.1 - Find the lateral surface area and the volume of...Ch. 9.1 - C. Find the total outside surface area and the...Ch. 9.1 - C. Find the total outside surface area and the...Ch. 9.1 - C. Find the total outside surface area and the...Ch. 9.1 - C. Find the total outside surface area and the...Ch. 9.1 - C. Find the total outside surface area and the...Ch. 9.1 - C. Find the total outside surface area and the...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.1 - Prob. 26DECh. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.2 - Find the lateral surface area and volume of the...Ch. 9.2 - Prob. 2AECh. 9.2 - Prob. 3AECh. 9.2 - Prob. 4AECh. 9.2 - Prob. 5AECh. 9.2 - Prob. 6AECh. 9.2 - Prob. 7AECh. 9.2 - Prob. 8AECh. 9.2 - Prob. 1BECh. 9.2 - Prob. 2BECh. 9.2 - Prob. 3BECh. 9.2 - Prob. 4BECh. 9.2 - Prob. 5BECh. 9.2 - Prob. 6BECh. 9.2 - Prob. 7BECh. 9.2 - Prob. 8BECh. 9.2 - Prob. 1CECh. 9.2 - C. Practical Applications Metalworking A...Ch. 9.2 - Prob. 3CECh. 9.2 - C. Practical Applications Agriculture How many...Ch. 9.2 - C. Practical Applications Sheet Metal Trades How...Ch. 9.2 - C. Practical Applications Construction How many...Ch. 9.3 - Prob. 1AECh. 9.3 - Prob. 2AECh. 9.3 - Prob. 3AECh. 9.3 - Prob. 4AECh. 9.3 - Prob. 1BECh. 9.3 - Prob. 2BECh. 9.3 - Prob. 3BECh. 9.3 - Prob. 4BECh. 9.3 - Prob. 5BECh. 9.3 - Prob. 6BECh. 9.3 - Practical Applications. (Round to the nearest...Ch. 9.3 - Practical Applications. (Round to the nearest...Ch. 9.3 - Practical Applications. (Round to the nearest...Ch. 9.3 - Practical Applications. (Round to the nearest...Ch. 9.3 - Practical Applications. (Round to the nearest...Ch. 9.3 - Practical Applications. (Round to the nearest...Ch. 9.3 - Practical Applications. (Round to the nearest...Ch. 9.3 - Industrial Technology How high should a 50-gal...Ch. 9.3 - Plumbing A marble-top bathroom sink has the shape...Ch. 9.3 - Sheet Metal Trades How many square inches of sheet...Ch. 9.3 - Machine Trades What is the weight of the bushing...Ch. 9.3 - Manufacturing Find the capacity in gallons of the...Ch. 9.3 - Plumbing A septic tank has the shape shown in the...Ch. 9.3 - Construction How many cubic yards of concrete are...Ch. 9.3 - Machine Trades At a density of 0.0925 lb/in.3,...Ch. 9.3 - Painting A spherical tank has a diameter of 16.5...Ch. 9.3 - Industrial Technology A cylindrical tank 72 cm in...Ch. 9.3 - Agriculture The water tower shown in the figure...Ch. 9.3 - Prob. 19CECh. 9.3 - Prob. 20CECh. 9.3 - Agriculture The water trough shown in the figure...Ch. 9.3 - Painting The metal silo shown in the figure has a...Ch. 9.3 - Construction An outdoor cylindrical fire pit has...Ch. 9.3 - Water/Wastewater Treatment Due to a rupture in a...Ch. 9.3 - Manufacturing If a particular extrusion process is...Ch. 9.4 - Prob. 1AECh. 9.4 - Prob. 2AECh. 9.4 - Prob. 3AECh. 9.4 - Prob. 4AECh. 9.4 - Prob. 1BECh. 9.4 - Prob. 2BECh. 9.4 - Prob. 3BECh. 9.4 - Prob. 4BECh. 9.4 - Prob. 1CECh. 9.4 - Prob. 2CECh. 9.4 - Prob. 3CECh. 9.4 - Prob. 4CECh. 9.4 - Prob. 1DECh. 9.4 - Prob. 2DECh. 9.4 - Prob. 3DECh. 9.4 - Practical Applications. (Round to the nearest...Ch. 9.4 - Prob. 5DECh. 9.4 - Practical Applications. (Round to the nearest...Ch. 9.4 - Practical Applications. (Round to the nearest...Ch. 9.4 - Practical Applications. (Round to the nearest...Ch. 9.4 - Prob. 9DECh. 9.4 - Prob. 10DECh. 9.4 - Prob. 11DECh. 9 - Identify solid figures, including prisms, cubes,...Ch. 9 - Find the surface area and volume of solid objects....Ch. 9 - Prob. 3PCh. 9 - Solve the following problems involving solid...Ch. 9 - Solve the following problems involving solid...Ch. 9 - Solve the following problems involving solid...Ch. 9 - Solve the following problems involving solid...Ch. 9 - Solve the following problems involving solid...Ch. 9 - Solve the following problems involving solid...Ch. 9 - Solve the following problems involving solid...Ch. 9 - Solve the following problems involving solid...Ch. 9 - Solve the following problems involving solid...Ch. 9 - Solve the following problems involving solid...Ch. 9 - Solve the following problems involving solid...Ch. 9 - Prob. 12APSCh. 9 - Prob. 13APSCh. 9 - Solve the following problems involving solid...Ch. 9 - Solve the following problems involving solid...Ch. 9 - Solve the following problems involving solid...Ch. 9 - Prob. 17APSCh. 9 - Solve the following problems involving solid...Ch. 9 - Solve the following problems involving solid...Ch. 9 - Prob. 20APSCh. 9 - Prob. 21APSCh. 9 - Practical Applications Manufacturing How many...Ch. 9 - Practical Applications Construction How many cubic...Ch. 9 - Practical Applications Metalworking What is the...Ch. 9 - Practical Applications Plumbing What is the...Ch. 9 - Practical Applications Painting How many quarts of...Ch. 9 - Practical Applications Construction A hole must be...Ch. 9 - Practical Applications Manufacturing How many...Ch. 9 - Practical Applications Industrial Technology What...Ch. 9 - Practical Applications Automotive Trades At a...Ch. 9 - Practical Applications Manufacturing How many...Ch. 9 - Practical Applications Construction How many cubic...Ch. 9 - Prob. 12BPSCh. 9 - Practical Applications Industrial Technology Find...Ch. 9 - Prob. 14BPSCh. 9 - Prob. 15BPSCh. 9 - Practical Applications Welding A rectangular tank...Ch. 9 - Prob. 17BPSCh. 9 - Practical Applications Welding Calculate the...Ch. 9 - Prob. 19BPSCh. 9 - Prob. 20BPSCh. 9 - Masonry A square pillar is built using 1558...Ch. 9 - Landscaping In the figure shown below, the solid...Ch. 9 - Carpentry A granite kitchen countertop is 1516 in....Ch. 9 - Prob. 24BPSCh. 9 - Prob. 25BPSCh. 9 - Prob. 26BPSCh. 9 - Prob. 27BPS
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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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