On a given day, the flow rate F (cars per hour) on a congested roadway is...
3. Consider the region R, bounded by the function f(x) and the x and y values shown. Write down an integral for the volume of the solid obtained by revolving R about the given line. Indicate what method you use in each case. 3 f(x) 2 R (Disk, Washer, or Shell) 1 You do not need to simplify but be sure to include the proper bounds on your integrals. a) The y-axis. Method: b) The line y =1. Method: c)...
Problem 1 part II and Problem 2 part I and II
Problem 1: (Short Answer) 6 pts] The region R is bounded by y 0, 0, 2, and y- 2 4 1, 3 pts] If R is revolved about the line x = 5. If an integral or sunn of integrals with respect to z is used to calculate the volume, explain whether the washer or shell method should be used II. 3 pts) Suppose that R is the base...
please answer questions 1,2,3 and 4d.
Gen Ed Assessment for MATH 2414 Calculus IlI: Let R be the region in the first quadrant bounded by the graphs of y=v8-2, y = r, and y = 0 Let S be the solid formed by revolving the region R about the x-axis. Complete the items below. Include enough detail that a Calculus I student would be able to follow each step of your work. Please use correct mathematical notation and label graphs...
Gen Ed Assessment for MATH 2414 Calculus II Important Submission Instructions to the Student:1. All explanations must be typed. The supporting math work must be neat and suitable for copying or scanning. The final document should be saved and submitted as a single.pdf file.2. Give the assignment the heading GEN ED ASSESSMENT: MATH 2414.3. Do not include your name in the assignment or in the file name.4. Submit your assignment to your instructor via Blackboard by the deadline established by your...