To determine the amount of fencing needed to enclose the pool area, you will need to add 15 feet to both sides of both dimensions to find the new dimensions that will need enclosed.
28 feet + 15 feet + 15 feet = 58 feet
23 feet + 15 feet + 15 feet = 53 feet
The fence will need to be 2 x 58 + 2 x 53 or 222 feet long for the 53 feet by 58 feet area.
The paraboloid meets the x-y plane when x²+y²=9. A circle of radius 3, centre origin.
<span>Use cylindrical coordinates (r,θ,z) so paraboloid becomes z = 9−r² and f = 5r²z. </span>
<span>If F is the mean of f over the region R then F ∫ (R)dV = ∫ (R)fdV </span>
<span>∫ (R)dV = ∫∫∫ [θ=0,2π, r=0,3, z=0,9−r²] rdrdθdz </span>
<span>= ∫∫ [θ=0,2π, r=0,3] r(9−r²)drdθ = ∫ [θ=0,2π] { (9/2)3² − (1/4)3⁴} dθ = 81π/2 </span>
<span>∫ (R)fdV = ∫∫∫ [θ=0,2π, r=0,3, z=0,9−r²] 5r²z.rdrdθdz </span>
<span>= 5∫∫ [θ=0,2π, r=0,3] ½r³{ (9−r²)² − 0 } drdθ </span>
<span>= (5/2)∫∫ [θ=0,2π, r=0,3] { 81r³ − 18r⁵ + r⁷} drdθ </span>
<span>= (5/2)∫ [θ=0,2π] { (81/4)3⁴− (3)3⁶+ (1/8)3⁸} dθ = 10935π/8 </span>
<span>∴ F = 10935π/8 ÷ 81π/2 = 135/4</span>
Answer:
C.
Step-by-step explanation:
the farther you get from Earth, the less the gravitational force i, so if your in space,<em><u> </u></em><em><u>you will have more weight next to earth than you will next to the moon</u></em><em><u>.</u></em>
Answer:
It’s y2-y1 over x2-x1
Y2 is 5 and y1 is 5
5-5
X2 is 7 and x1 is -2
7- negative 2
5-5 is 0
7- negative 2 is 9
Slope is 0
Step-by-step explanation:
Hope this helps:)
intercepts the parabola twice: the system
is solved by
intercepts the parabola only once: the system is
which yields
which is a repeated solution
intercepts the parabola only once: the system is
which yields
which is impossible, because a squared number can't be negative.