2. An investment of $100 is placed into an account that earns interest, compounded annually, at a rate of 5% for7 years. The amount, A, in the account can be modelled by the function A = 100(1.05)', where t is the time, inyears. What is the domain of this function?a. (t e R, 2 7}b. (t e R, 0 SIS7)c. (te R, t > 7}d. (t e R,0

Answered: Image /qna-images/answer/c7d08465-ebc4-430b-b56c-db8ed62ee4e6.jpg

Answered: 2. An investment of $100 is placed into…

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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graph of the derivative f'. Select one: O b. O -8 -2 -6 -4 -4-3 5 3 2 L 2 4 3 -5
4. As a tornado moves, its speed increases. The function S(d) = 93 log d + 65 a) Graph this function. b) Calculate the average rate of change for the speed of the wind at the centre of a tornado from mile 10 to mile 100. c) Estimate the rate at which the speed of the wind at the centre of a tornado is changing at the moment it has travelled its 10th mile and its 100th mile. d) Use your graph to discuss how the rate at which the speed of the wind at the centre of a tornado changes as the distance that the tornado travels increases.
A. Find the derivative for each function. ē 7. y=x² +2 9. y=2x²-x+3 6. y=3x²-6 8. y=x²-3x+2 10. y=x³ +2x-1
(d) By how much does the velocity change from 1 to 2 seconds after the ball is thrown? By how much does the velocity change from 2 to 3 seconds after the ball is thrown? By how much does the velocity change from 3 to 4 seconds after the ball is thrown?
1.) A fan of radius of 2.5 m makes one revolution every 12s. Model the height of a point on the edge of the fan as a function of time if the fan lowest point on the fan is 2m above the ground.
Consider the following function: A(P,r,n,t)=P(1+rn)nt where the variables have the following meaning: A = amount accumulated P = principal r = interest rate n = compoundings per period t = number of periods Find the value of the function when P=450,r=4.5%,n=12, and t=9. (Round your answer to the nearest whole number.)
(メ-(S/) sp= Soo=イ Plot the following function
1. Consider the following functions: y = log2x and y = 2.3* Sketch each on the same grid. For each function: a) b) i) state the intercepts. ii) state the domain and range. How are these functions related?
If Daniella opens a mutual fund account with a deposit of 15,000 and it promises to pay an annual interest rate of r% compounded on a monthly basis. Derive a function B, which shows the balance on Daniella's account the end of 6 years. Make a comparison of the rates of change in B with respect to the interest rate when r is 8%, 10% and 12%.
During Ricardo noticed an ink stain with a diameter of about 3 cm on the front of his teacher’s shirt. He then noticed that there was a pen in the pocket and that the ink blot was continuing to spread across the front of the teacher’s shirt. He estimated that the diameter of the ink blot seemed to be growing by about 0.5 cm every 2 minutes. a) Write an equation for the RADIUS, r, of the ink stain, as a function of time, t. Assume that t = 0 represents the time that Ricardo first noticed the ink stain. b) Write an equation showing the AREA, A, of the ink stain as a function of the time t. (Hint: It might help to first write A as a function of r. ) c) Draw a graph of the function A(t) for 10 minutes. d) At what time is the area of the ink stain about 25 square centimeter? Show how you answer this question. (i.e. ”I found it using desmos” is not sufficient)
Jerry is driving across the country at a constant speed. Jerry enters Intersate 90 and and starts a clock as he passes mile marker 52. After 5.4 hours, Jerry passes miles marker 484. Represent the time elapsed in hours using the independent variable t. Represent the mile marker passed at time t with the dependent variable x. At what speed is Jerry driving? miles per hour Write a formula to compute the mile marker x as a function of t. x= What mile marker is Jerry passing when 8.6 hours have elapsed?
5. Someone invests $3080 in an account at 6.3% interest compounded annually. Let f(t) be the value (in dollars) of the account at t years after she invested the $3080. a) Find the equation of f. b) What will the account's value be after 12 years? (Round to the nearest cent.)

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