The total amount required to pay off a five-year car loan is a function of the annual interest rate charged. Hence C=f(r), where r is a percentage, and C is in dollars. (a) f(8)=36,000 means that if the annual interest rate is at 8 -Select v , then the total amount required to pay off a five year car loan is 36,000 Select v . (a) f'(8)=3,800 means that at at the annual interest rate of 8 , the total amount required to pay off a five year car loan is at the rate of 3,800 ---Select--- v . (c) f(8.4) is approximate . It means that if the annual interest rate is at 8.4 , then the total amount required to pay off a five year car loan is about :] --Select- v . 2. [-l6 Points] DETAILS QIANBUSCALCZ 3.1.006.R. | MY NOTES ll ASKYOURTEACHER ll PRACTICE ANOTHER I This is similar to Section 3.1 Problem 6: The revenue of a car dealer from car sales is a function of the advertising expenditure. Hence R=f(a), where both of a and R are in thousands of dollars. (a) f(10)=50 means that if the the car dealer spends 10 --Select v on advertising, then its revenue is 50 -Select v . (b) f'(10)=2 means that for every increase of $1,000$ from 10 Select- v spending on advertising, the car dealer's revenue increases by about 2 --Se|ect v . (c) f(10.2) is approximate . This is similar to Section 3.1 Problem 8: A cup of freshly made coffee is put on a table. The temperature of the coffee is a function of the time passed. Hence H=f(t), where t is in minutes and H is in degrees Fahrenheit. (a) f(3)=120 means that at 3 ---Select--- v after the coffee is put on the table, the temperature of the coffee is 120 ---Select--- v . (b) f'(3)=-10 means that at 3 -Select v after the coffee is put on the table, the temperature of the coffee is -Select- v at the rate of 10 -Select- v . (c) The temperature of the coffee 3.5 minutes after it is put on the table is about Select v . (d) The temperature of the coffee 3.7 minutes after it is put on the table is about -Select- v . (e) The estimate in part -Select- v is more accurate since the estimate is based on the assumption that the function is -Select-- v near t=3. Hint: Follow Example 1. 4. [-I2 Points] DETAILS QIANBUSCALCZ 3.1.012. This is Section 3.1 Problem 12: For y=f(x)=4x+3,x=5, and AX=O.2: f'(x)Ax |:| . Round to three decimal places unless the exact answer has less decimal places. Hint: Follow Example 2. Additional Materials L3 ebook 5. [-12 Points] DETAILS QIANBUSCALCZ 3.1.014. This is Section 3.1 Problem 14: For y=f(x)=%,X=2, and Ax=0.2: f'(x)Ax l: . Round to three decimal places unless the exact answer has less decimal places. Hint: Follow Example 2. Additional Materials L] ebook