Suppose that for time t > 0 and constants 0 < r₁ < r the instantaneous interest rate of a bank account is given byr(t)=ro-r₁e-1/3What is the yield curve F(t)?Select one:a. F(t) = ro-r₁t¯¹(1 – e-¹/³)b. F(t)= rot + 3r₁ (1 – e−¹/³)c. F(t) = ro - 3r₁t¯¹(1 — e¯¹/³)d. F(1) = ro+3r₁t¯¹(1 − e−¹/³)e. F(t) = rot +r₁t¬¹e=1/3f. F(t) = ro +3r₁t¯¹e-1/3g. 7(1) = ro - 3r₁(1 – e-¹/³)h. The answer is not any of these choices.

Given that the instantaneous interest rate of a bank account is This equation represents…

Answered: Suppose that for time 1 > 0 and…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A poll commissioned by a politician estimates that t days after he makes a statement denegrating women, the percentage of his constituency (those who support him at the time hemade the statement) that still supports him is given by S(t) = 75(t2 − 3t + 25)/t2 +3t+25The election is 10 days after he made the statement.(i) If the derivative S’(t) may be thought of as an approval rate, derivate the a function for his approval rate.(ii) When was his support at its lowest level?(iii) What was his minimum support level?
4) Given g(x) = x² + x, find the rate of change of each on[-2,5].
Q2
Find the derivative of the following exponential functions: 1. y = e-4x ans. y' = -4e¬4x 2. y = x?e=* ans. y' = xe-*(2 – x) %3D f (z) = e?(sin z + cos z) ans. f'(z) = 2e² cos z %3D 3.
A poll commissioned by a politician estimates that t days after he makes a statement degenerating women, the percentage of his constituency ( those who support him at the time he made the statement) that still supports him is given by S(t) = 75(t2 - 3t +25)/t2 + 3t + 25 The election day is 10 days after he made the statement. 1. If the derivative S'(t) may be thought of as an approval rate, derivate the a function for his approval rate. 2. Was the approval rate positive or negative on the date of the election?
2. Estimate the estimated value of f'(3), where f(x)= x³ + 2x² −2x+3 such that &<1%.
15. The table gives the motor vehicles registered in the United States, C = f(t), in millions,23 in the US in the year t. (a) Do f'(t) and f"(t) appear to be positive or negative during the period 2011–2017? (b) Do f'(t) and f"(t) appear to be positive or negative during the period 2005–2009? (c) Estimate f'(2017). Using units, interpret your an- swer in terms of passenger cars. t 2005 2007 2009 2011 2013 2015 2017 C 247.4 254.4 254.2 253.1 255.9 263.6 272.5 Q > Result 12 of 14
The percentage of female high school graduates who enrolled in college is given in the table below. Year 1970 1980 1990 2000 2010 College Enrollment Percentages for Females 25.5 30.3 38.3 45.6 50.5 Let a represent time (in years) since 1970, and let y represent the corresponding percentage of female high school graduates who enrolled in college. Find the cubic regression model y = F(x) = ax³ + bx² + cx + d, = where a is rounded to 6 decimal places, b is rounded to 4 decimal places, c is rounded to 3 decimal places, and d is rounded to 1 decimal place.
Solve the following function operations. Let f(x) = 5x + 5 %3D g(x) = x + 3

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