Cross the y-axis in x=0
therfore:
if x=0; y=3*0+2=2; ⇒ P(0,2)
solution: P(0,2).
Answer:
92
Step-by-step explanation:
8* x + y + y
Where
x=9, and y = 10
Solution=8×9+10+10
=72+20
=92.
So the answer is 92
Answer:
cubic units
Step-by-step explanation:
We are to find the volume of the solid of revolution formed by rotating about the x--axis the region bounded by the given curves.
f(x)=2x+1, y=0, x=0, x=4.
The picture is given as shaded region.
This is rotated about x axis
Limits for x are already given as 0 and 4
f(x) is a straight line
The solid formed would be a cone
Volume = ![\pi \int\limits^a_b {(2x+1)^2} \, dx \\= \pi \int\limits^4_0 {(4x^2+4x+1)} \, dx \\=\pi [\frac{4x^3}{3} +2x^2+x]^5_0\\\\=\pi[\frac{4*4^3}{3}+2*4^2+4-0]\\=\frac{364\pi}{3}](https://tex.z-dn.net/?f=%5Cpi%20%5Cint%5Climits%5Ea_b%20%7B%282x%2B1%29%5E2%7D%20%5C%2C%20dx%20%5C%5C%3D%20%5Cpi%20%5Cint%5Climits%5E4_0%20%7B%284x%5E2%2B4x%2B1%29%7D%20%5C%2C%20dx%20%5C%5C%3D%5Cpi%20%5B%5Cfrac%7B4x%5E3%7D%7B3%7D%20%2B2x%5E2%2Bx%5D%5E5_0%5C%5C%5C%5C%3D%5Cpi%5B%5Cfrac%7B4%2A4%5E3%7D%7B3%7D%2B2%2A4%5E2%2B4-0%5D%5C%5C%3D%5Cfrac%7B364%5Cpi%7D%7B3%7D)
Answer:
35
Step-by-step explanation:
35
35
35
35
35
35
35
35
35
Hey There! I can help you by explaining how to solve it but not answering sorry! Anyhow, To find the volume of a square based pyramid I suggest you start with the square and do L x W. Than Solve the triangles by using formula 0.5 * b * h. Hint: On the bottom triangle use 8cm from the square with the 3.8cm. Hope you now understand and can find the answer!
