5.1 Homework - Area and Distance Problems (Homework)

6. [-/1 Points] DETAILS SCALCET8 5.1.507.XP. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The area A of the region S that lies under the graph of the continuous function is the limit of the sum of the areas of approximationg rectangles. A = lim R = lim [f(x, )Ax + f(x2)Ax + . . . + f(x,,)4x] n-+ 00 n -+ 00 Use this definition to find an expression for the area under the graph of f as a limit. Do not evaluate the limit. f(x) = 3x cos(3x), OSXS_ A = lim n - 00 1= 1 Need Help? Watch It 7. [-/1 Points] DETAILS SCALCET8 5.1.025. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Determine a region whose area is equal to the given limit. Do not evaluate the limit. lim 1 tan () n -+ 00 7n O x tan(x) on - = =] O tan(x) on - , O tan(x) on [0, 7n] O tan(x) on 0, =] O x tan(x) on o, ] Need Help? Watch It8. [-/1 Points] DETAILS SCALCET8 5.1.017. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The velocity graph of a braking car is shown. Use it to estimate the distance traveled by the car while the brakes are applied. (Use M to get the most precise estimate.) ft V (ft/s) 60 40 20 t (seconds) 0 2 4 6 Need Help? Watch It9. [-/1 Points] DETAILS SCALCET8 5.1.JIT.010.MI.SA. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise Find the sum of the infinite geometric series. [ 4(0.75 ) "7 Step 1 Determine the first term of the infinite geometric series. a = Submit Skip (you cannot come back)If a person is walking north with a rate of 3 mph and another person is walking south with a rate of 4 mph, then the distance between them increases at the rate of 7 mph. O True O False