Answer:
12000
Step-by-step explanation:
1200=100
x=1000
x=100*1200/100
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>
1) Unit Rate = 26:1
We already know that for every 3 gallons, you can travel 78 miles. Divide 78 by 3 to get 26. The 26 stands for how many miles you can travel on one gallon.
2) Unit Rate = $7.50:1
Since we already know that for every 7 hours, you earn $52.50, divide 52.50 by 7 to get 7.50. The 7.50 represents how much money you earn in 1 hour.
3) Unit Rate = 52:1
Since you can travel 416 miles in 8 hours, divide 416 by 8 to get 52. The 52 represents how many mile you can travel in 1 hour alone.
Here's a little hint too: (If I remember correctly) For unit rates, it's always going to be *any number* to 1. So even if it's a decimal or a negative, the other side of the rate always has to be 1 :)
Answer:
2
Step-by-step explanation:
there is 2: 3<u> 1 </u>
4
