Basic Technical Mathematics
11th Edition
ISBN: 9780134437705
Author: Washington
Publisher: PEARSON
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Chapter 29.3, Problem 2E
To determine
The slopes of the tangent lines that are parallel to the xz- and yz-planes when the point is changed to
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6) A farmer has 60 acres on which to plant oats or corn. Each acre of oats requires 100 lbs of fertilizer and 1 hour
of labor. Each acre of corn requires 50 lbs of fertilizer and 2 hours of labor. The farmer has 5000 lbs of
fertilizer and 100 hours available for labor. If the profit is $60 from each acre of oats and $100 from each acre
of corn, what planting combination will produce the greatest total profit?
a) Fill in the following chart to help organize the information given in the problem:
Oats
Labor
Fertilizer
Land
Profit
b) Write down the question of interest.
Corn
Available
c) Define variables to answer the question of interest. Call these x and y.
d) Write the objective function to answer the question of interest.
e) List any constraints given in the problem.
An article appeared in the Journal of Gambling Issues, in which the authors looked at random samples of Ontario residents who (i) have not completed some form of post-secondary education and
(ii) have completed some form of post-secondary education.
A code of 0 indicates the person does not have a gambling problem, a code of 1 indicates the person does have a gambling problem.
The data is found in the accompanying data file.
Download.csv file
To count the frequencies of 0 and 1 in each sample, use the table(your_dataset_name$ column's name) function. Make sure to replace "your_dataset_name" with the actual name of your data file
and specify the correct column name.
For example: table(file60c5d1286c735$ CompletedPSEducation)
Let PNOPS represent the proportion of persons not completing some form of post-secondary education who have a gambling problem, and
PPs be the proportion of persons having completed post-secondary education who have a gambling problem.
(a) Find a 92% confidence…
We consider a (European) call option on a stock with expiration in 3 months and strike
price $10. The annual interest rate on the market is r = 4%. The current price of the stock
is $10 and we assume that the stock follows a geometric Brownian motion (Black-Scholes)
model with parameters = 6% and σ = 0.2.
(a) Determine the price Fo of this option at time t
=
: 0 (today).
(b) Using the formulas provided in the lecture videos, calculate the value of each of the
Greeks for this option. Namely, calculate A, T, v, О, p.
(c) Find a formula for the change of the option price with respect to a change in the
af (St, t)
Әк
strike price. In other words, determine
(d) For each of the suggested modifications below, use an approximation to determine
the change in the price of the option above without actually recalculating the price.
For each one, provide an intuitive argument to explain why the price increases or
decreases.
(i) The rate of return μ decreases to 5%.
(ii) The interest rate r…
Chapter 29 Solutions
Basic Technical Mathematics
Ch. 29.1 - Practice Exercise
If f(x, y) = 4xy2 – 3x2y, find...Ch. 29.1 - Prob. 1ECh. 29.1 - Prob. 2ECh. 29.1 - Prob. 3ECh. 29.1 - Prob. 4ECh. 29.1 - Prob. 5ECh. 29.1 - Prob. 6ECh. 29.1 - Prob. 7ECh. 29.1 - Prob. 8ECh. 29.1 - Prob. 9E
Ch. 29.1 - Prob. 10ECh. 29.1 - Prob. 11ECh. 29.1 - Prob. 12ECh. 29.1 - Prob. 13ECh. 29.1 - Prob. 14ECh. 29.1 - Prob. 15ECh. 29.1 - Prob. 16ECh. 29.1 - Prob. 17ECh. 29.1 - Prob. 18ECh. 29.1 - Prob. 19ECh. 29.1 - Prob. 20ECh. 29.1 - Prob. 21ECh. 29.1 - Prob. 22ECh. 29.1 - Prob. 23ECh. 29.1 - Prob. 24ECh. 29.1 - Prob. 25ECh. 29.1 - Prob. 26ECh. 29.1 - Prob. 27ECh. 29.1 - Prob. 28ECh. 29.1 - Prob. 29ECh. 29.1 - Prob. 30ECh. 29.1 - Prob. 31ECh. 29.1 - Prob. 32ECh. 29.1 - Prob. 33ECh. 29.1 - Prob. 34ECh. 29.1 - Prob. 35ECh. 29.1 - Prob. 36ECh. 29.1 - Prob. 37ECh. 29.1 - Prob. 38ECh. 29.1 - Prob. 39ECh. 29.1 - Prob. 40ECh. 29.1 - Prob. 41ECh. 29.1 - Prob. 42ECh. 29.1 - Prob. 43ECh. 29.1 - Prob. 44ECh. 29.2 - Prob. 1PECh. 29.2 - Prob. 2PECh. 29.2 - Prob. 1ECh. 29.2 - Prob. 2ECh. 29.2 - Prob. 3ECh. 29.2 - Prob. 4ECh. 29.2 - Prob. 5ECh. 29.2 - Prob. 6ECh. 29.2 - Prob. 7ECh. 29.2 - Prob. 8ECh. 29.2 - Prob. 9ECh. 29.2 - Prob. 10ECh. 29.2 - Prob. 11ECh. 29.2 - Prob. 12ECh. 29.2 - Prob. 13ECh. 29.2 - Prob. 14ECh. 29.2 - Prob. 15ECh. 29.2 - Prob. 16ECh. 29.2 - Prob. 17ECh. 29.2 - Prob. 18ECh. 29.2 - Prob. 19ECh. 29.2 - Prob. 20ECh. 29.2 - Prob. 21ECh. 29.2 - Prob. 22ECh. 29.2 - Prob. 23ECh. 29.2 - Prob. 24ECh. 29.2 - Prob. 25ECh. 29.2 - Prob. 26ECh. 29.2 - Prob. 27ECh. 29.2 - Prob. 28ECh. 29.2 - Prob. 29ECh. 29.2 - Prob. 30ECh. 29.2 - Prob. 31ECh. 29.2 - Prob. 32ECh. 29.2 - Prob. 33ECh. 29.2 - Prob. 34ECh. 29.2 - Prob. 35ECh. 29.2 - Prob. 36ECh. 29.2 - Prob. 37ECh. 29.2 - Prob. 38ECh. 29.2 - Prob. 39ECh. 29.2 - Prob. 40ECh. 29.2 - Prob. 41ECh. 29.2 - Prob. 42ECh. 29.2 - Prob. 43ECh. 29.2 - Prob. 44ECh. 29.2 - Prob. 45ECh. 29.2 - Prob. 46ECh. 29.3 - If z = 4x2 + x sin y, find ∂z/∂x and ∂z/∂y.
Ch. 29.3 - Prob. 2PECh. 29.3 - Prob. 1ECh. 29.3 - Prob. 2ECh. 29.3 - Prob. 3ECh. 29.3 - Prob. 4ECh. 29.3 - Prob. 5ECh. 29.3 - Prob. 6ECh. 29.3 - Prob. 7ECh. 29.3 - Prob. 8ECh. 29.3 - Prob. 9ECh. 29.3 - Prob. 10ECh. 29.3 - Prob. 11ECh. 29.3 - Prob. 12ECh. 29.3 - Prob. 13ECh. 29.3 - Prob. 14ECh. 29.3 - Prob. 15ECh. 29.3 - Prob. 16ECh. 29.3 - Prob. 17ECh. 29.3 - Prob. 18ECh. 29.3 - Prob. 19ECh. 29.3 - Prob. 20ECh. 29.3 - Prob. 21ECh. 29.3 - Prob. 22ECh. 29.3 - Prob. 23ECh. 29.3 - Prob. 24ECh. 29.3 - Prob. 25ECh. 29.3 - Prob. 26ECh. 29.3 - Prob. 27ECh. 29.3 - Prob. 28ECh. 29.3 - Prob. 29ECh. 29.3 - Prob. 30ECh. 29.3 - Prob. 31ECh. 29.3 - Prob. 32ECh. 29.3 - Prob. 33ECh. 29.3 - Prob. 34ECh. 29.3 - Prob. 35ECh. 29.3 - Prob. 36ECh. 29.3 - In Exercises 35–50, solve the given...Ch. 29.3 - In Exercises 35–50, solve the given...Ch. 29.3 - Prob. 39ECh. 29.3 - Prob. 40ECh. 29.3 - In Exercises 35–50, solve the given...Ch. 29.3 - Prob. 42ECh. 29.3 - Prob. 43ECh. 29.3 - Prob. 44ECh. 29.3 - Prob. 45ECh. 29.3 - Prob. 46ECh. 29.3 - Prob. 47ECh. 29.3 - Prob. 48ECh. 29.3 - In Exercises 35–50, solve the given...Ch. 29.3 - In Exercises 35–50, solve the given...Ch. 29.4 - Prob. 1PECh. 29.4 - Prob. 1ECh. 29.4 - Prob. 2ECh. 29.4 - Prob. 3ECh. 29.4 - Prob. 4ECh. 29.4 - Prob. 5ECh. 29.4 - In Exercises 5–18, evaluate the given double...Ch. 29.4 - Prob. 7ECh. 29.4 - Prob. 8ECh. 29.4 - Prob. 9ECh. 29.4 - Prob. 10ECh. 29.4 - Prob. 11ECh. 29.4 - Prob. 12ECh. 29.4 - Prob. 13ECh. 29.4 - Prob. 14ECh. 29.4 - Prob. 15ECh. 29.4 - Prob. 16ECh. 29.4 - Prob. 17ECh. 29.4 - Prob. 18ECh. 29.4 - Prob. 19ECh. 29.4 - Prob. 20ECh. 29.4 - Prob. 21ECh. 29.4 - Prob. 22ECh. 29.4 - Prob. 23ECh. 29.4 - Prob. 24ECh. 29.4 - Prob. 25ECh. 29.4 - Prob. 26ECh. 29.4 - Prob. 27ECh. 29.4 - Prob. 28ECh. 29.4 - Prob. 29ECh. 29.4 - Prob. 30ECh. 29.4 - Prob. 31ECh. 29.4 - Prob. 32ECh. 29.4 - Prob. 33ECh. 29.4 - Prob. 34ECh. 29 - Prob. 1RECh. 29 - Prob. 2RECh. 29 - Prob. 3RECh. 29 - Prob. 4RECh. 29 - Prob. 5RECh. 29 - Prob. 6RECh. 29 - Prob. 7RECh. 29 - Prob. 8RECh. 29 - Prob. 9RECh. 29 - Prob. 10RECh. 29 - Prob. 11RECh. 29 - Prob. 12RECh. 29 - Prob. 13RECh. 29 - Prob. 14RECh. 29 - Prob. 15RECh. 29 - Prob. 16RECh. 29 - Prob. 17RECh. 29 - Prob. 18RECh. 29 - Prob. 19RECh. 29 - Prob. 20RECh. 29 - Prob. 21RECh. 29 - Prob. 22RECh. 29 - Prob. 23RECh. 29 - Prob. 24RECh. 29 - Prob. 25RECh. 29 - Prob. 26RECh. 29 - Prob. 27RECh. 29 - Prob. 28RECh. 29 - Prob. 29RECh. 29 - Prob. 30RECh. 29 - Prob. 31RECh. 29 - Prob. 32RECh. 29 - Prob. 33RECh. 29 - Prob. 34RECh. 29 - Prob. 35RECh. 29 - Prob. 36RECh. 29 - Prob. 37RECh. 29 - Prob. 38RECh. 29 - Prob. 39RECh. 29 - Prob. 40RECh. 29 - Prob. 41RECh. 29 - Prob. 42RECh. 29 - Prob. 43RECh. 29 - Prob. 44RECh. 29 - Prob. 45RECh. 29 - Prob. 46RECh. 29 - Prob. 47RECh. 29 - Prob. 48RECh. 29 - Prob. 49RECh. 29 - Prob. 50RECh. 29 - Prob. 51RECh. 29 - Prob. 52RECh. 29 - Prob. 53RECh. 29 - Prob. 54RECh. 29 - Prob. 55RECh. 29 - Prob. 1PTCh. 29 - Prob. 2PTCh. 29 - Prob. 3PTCh. 29 - Prob. 4PTCh. 29 - Prob. 5PTCh. 29 - Prob. 6PTCh. 29 - Prob. 7PTCh. 29 - Prob. 8PT
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- calc 3arrow_forwardPage < 1 of 2 - ZOOM + 1) Answer the following questions by circling TRUE or FALSE (No explanation or work required). −1 0 01 i) If A = 0 0 2 0, then its eigenvalues are ₁ = 1,λ₂ = 2, and 13 0 0 = : 0. (TRUE FALSE) ii) A linear transformation is operation preserving because the same result occurs whether you perform the operations of addition and scalar multiplication before or after applying the linear transformation. ( TRUE FALSE) iii) A linear transformation that is one-to-one and onto is called an isomorphism. (TRUE FALSE) iv) If the standard matrix A for the linear transformation T: R³ → R³ is -1 0 01 A = 2 00, then T is invertible. (TRUE FALSE) 0 1 1. v) Let A, B, and C be square matrices of order n. If A is similar to B and B is similar to C, then A is similar to C. ( TRUE FALSE) 2) a) i) Find the matrix that produces the counterclockwise rotation of 30° about the z-axis. ii) Find the image of the vector (1,1,1) for the rotation described in i). b) Give a geometric description…arrow_forwardPls help ASAParrow_forward
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