Maddox is currently taking MAT-331 and next week he has an exam to write and a project to submit. The project is worth 40% of his mark and the exam is worth 60%. The grade he will get in the project as a function of the time t he spends on it (in hours) is given by f(t) = 100 – 50e-0.51, whereas the mark he will get for the exam is g(t) = 10t. He hasn't done any work yet, but this weekend he has 10 hours of free time which he intends to spend on studying. (a) Note that the final grade that he gets in the course is a function of the time spent t spent on the project, h(t) = 0.4s(t) + 0.69(10 – t). Use the formulas for f and g to find a formula for h(t). (b) How much of his 10 hours should he spend on the project in order to get as high a final grade as possible? Round your answer to 3 decimal places. Be sure to fully justify your answer. Answer: He should spend |hours working on his project and hours studying for his exam.
Maddox is currently taking MAT-331 and next week he has an exam to write and a project to submit. The project is worth 40% of his mark and the exam is worth 60%. The grade he will get in the project as a function of the time t he spends on it (in hours) is given by f(t) = 100 – 50e-0.51, whereas the mark he will get for the exam is g(t) = 10t. He hasn't done any work yet, but this weekend he has 10 hours of free time which he intends to spend on studying. (a) Note that the final grade that he gets in the course is a function of the time spent t spent on the project, h(t) = 0.4s(t) + 0.69(10 – t). Use the formulas for f and g to find a formula for h(t). (b) How much of his 10 hours should he spend on the project in order to get as high a final grade as possible? Round your answer to 3 decimal places. Be sure to fully justify your answer. Answer: He should spend |hours working on his project and hours studying for his exam.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Transcribed Image Text:Maddox is currently taking MAT-331 and next week he has an exam to write and a project
to submit. The project is worth 40% of his mark and the exam is worth 60%. The grade he will get
in the project as a function of the time t he spends on it (in hours) is given by f(t) = 100 – 50e-0.54,
whereas the mark he will get for the exam is g(t) = 10t. He hasn't done any work yet, but this
weekend he has 10 hours of free time which he intends to spend on studying.
(a) Note that the final grade that he gets in the course is a function of the time spent t spent on the
project, h(t) = 0.4f(t) + 0.69(10 – t). Use the formulas for f and g to find a formula for h(t).
(b) How much of his 10 hours should he spend on the project in order to get as high a final grade
as possible? Round your answer to 3 decimal places. Be sure to fully justify your answer.
Answer: He should spend
hours working on his project and
hours studying for his exam.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
