Question

(a) Find the volume of the solid generated by revolving the region bounded by the curves...

  1. (a) Find the volume of the solid generated by revolving the region bounded by the curves y=x2 andy=4x−x2 abouttheliney=6. [20marks]

    (b) Sketch the graph of a continuous function f(x) satisfying the following properties: (i) the graph of f goes through the origin
    (ii) f′(−2) = 0 and f′(3) = 0.
    (iii) f′(x) > 0 on the intervals (−∞,−2) and (−2,3).

    (iv) f′(x) < 0 on the interval (3,∞).
    Label all important points. [30 marks]

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Use the shell method to find the volume of the solid generated by revolving the region...
Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves about the give line. (a) Graph the region (b) Graph the solid (c) Sketch a typical shell. (d) Determine the variable of integratoin (e) Draw and label the radius and height of the shell. Describe their length. (f) Find the volume. y = 4x, y = 0, x = 2; revolve about the line x = -3
Find the volume of the solid generated by revolving the region bounded by y = 2ex...
Find the volume of the solid generated by revolving the region bounded by y = 2ex - 4x, y = 2 - 2x, x = 0, x = 1 about the x-axis using the most appropriate method.
Find the volume of the solid generated by revolving the region bounded by the graphs of...
Find the volume of the solid generated by revolving the region bounded by the graphs of y = e x/4 , y = 0, x = 0, and x = 6 about the x−axis. Find the volume of the solid generated by revolving the region bounded by the graphs of y = √ 2x − 5, y = 0, and x = 4 about the y−axis.
Use shell method to find the volume of the solid generated by revolving the region bounded...
Use shell method to find the volume of the solid generated by revolving the region bounded by y=4−x, y=2 ,x=0 about x-axis. Sketch the region.
3. (a) Find the volume of the solid generated by revolving the region bounded by the...
3. (a) Find the volume of the solid generated by revolving the region bounded by the graphs of the given equations around the x-axis. ? = 0, ? = ? 3 + ?, ? = 1 (b) Find the volume of the solid generated by revolving the region from part (a) around the y-axis
Find the volume of the solid generated by revolving the region bounded by the graphs of...
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis. y = 1 / sqrt of (7x+3) x = 0 y = 0 x = 7
Find the volume of the solid generated by revolving the area bounded by the given curves/lines...
Find the volume of the solid generated by revolving the area bounded by the given curves/lines about the indicated axis using both vertical and horizontal elements if applicable. y=x² ,x=1, y=0 a. about the axis b. about x=1 c. about the y-axis
Find the volume of the solid generated by revolving the region bounded by y = 2x−x2...
Find the volume of the solid generated by revolving the region bounded by y = 2x−x2 and y = x about; (a) the y-axis (b) the line xr = 1.
Find the volume of the solid generated by revolving the region bounded by the given curve...
Find the volume of the solid generated by revolving the region bounded by the given curve and lines about the​ x-axis. y=4 square root x, y=4 x=0
Use the shell method to find the volume of the solid generated by revolving the region...
Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves and lines about the y-axis. y = x 2 - 4, y = 3x, x = 0, for x ≥ 0
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT