1. 5, 19, 24, 46, 77, then 98
2. -62, -47, -11, 38, then 56
Answer:
125.6 sq ft.
Step-by-step explanation:
To find the Surface Area of the cylinder, we will need to solve for the area of both bases and the rectangle around the cylinder. We can do this by:
------------------------------
Area of bases: (
)


Since we have two bases, we can simply multiply by 2, giving us:
12.56×2= 25.12
-------------------------------
Area of the rectangle: (
)

12.56×8= 100.48
Add these two together, giving us:
100.48+25.12= 125.6 sq ft.
Given:
P: (2,0,5)
L: (0,6,4)+t(7,-1,5)
and required plane, Π , passes through P and perpendicular to L.
The direction vector of L is V=<7,-1,5>.
For Π to be perpendicular to V, Π has V as the normal vector.
The equation of a plane with normal vector <7,-1,5> passing through a given point P(xp,yp,zp) is
7(x-xp)-1(y-yp)+5(z-zp)=0
Thus the equation of plane Π passing through P(2,0,5) is
7(x-2)-y+5(z-5)=0
or alternatively,
7x-y+5z = 14+25
7x-y+5z = 39