Find the integral required to find the area of the region bounded by y=3x2-20 an

Question

Find the integral required to find the area of the region bounded by y=3x2-20 and y = x2 + 3x. Do not evaluate the integral. 2) Use the disk/washer method to find the integral(s) required to find the volume of the object created by rotating the region bounded by y = x2 + 3 and y = 7 about the line x = 4. Do not evaluate. Use the disk method to find the integral(s) required to find the volume of the object crated by rotating the region bounded y = 4 - x2 and the axis about X axis. Do not evaluate. Repeat problem 2 using the shell method. The triangular trough to the left is 9 feet long and 4 feet wide. The depth is 3 feet. It is filled with fresh water. How much work is done in pumping the water to a level 2 feet above the top of the trough? Round your answer to 2 decimal places. Include units! The dimensions of the container on the right are given in meters. (5, 16, 9 & 12). The container is filled to the 10 m level (not all 12) with a fluid with mass 1850 kg/m3. How much work is done in pumping the liquid out of the container? (a.k.a. to the top of the container) Round to 2 decimal places. Include units. The missing bottom measurement is 5 m.

Explanation / Answer

since is written in question that i do not need to evaluate the integral i would like to give answers straight away

1) ... integral (20 -3x-2x^2) limit(-5/2 to 4)

2197/24

2)

integral (x^2+1 ) limit(2 to 4 )

62/3

3)integral (4-x^2 ) limit(-2 to 2)

32/3

4)

work done = potential energy of water

= rho*g*h*V

V= A*l

= 1/2 * 8/3 * 2 *9

=24

work done = rho*g*2*24 ................. use values of rhon and g and calculate .. rate my answer

Related Questions

Navigate

• Browse (All)
• Browse F
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.