Answer:
Step-by-step explanation:
d/dn(2 n^2 + 12 n + 18) = 4 (n + 3)
Indefinite integral:
integral(18 + 12 n + 2 n^2) dn = (2 n^3)/3 + 6 n^2 + 18 n + constant
Global minimum:
min{2 n^2 + 12 n + 18} = 0 at n = -3
Answer:
4.3cm
Step-by-step explanation:
the radius of the hemisphere can be determined its volume
volume of a hemisphere = (2/3) x (n) x (r^3)
n = 22/7
r = radius
(2/3) x (22/7) x( r^3) = 165 cm^3
44/21 x r^3 = 165
divide both sides of the equation by 21/44
165 x 21/44
r^3 = 78.75
find the cube root
r = 4.2863 cm
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
the 100th terms, 8 is greater than 6, so add 1 to 2. this give 4.3cm
Answer:
Step-by-step explanation:
A = π r²
A = 11²π - 3²π = ( 121 - 9 ) π = 112 π ≈ 112 × 
= 352 cm²
( 112 × 3.14 = 351.68 cm²)
If two chords intersect each other inside a circle, the products of their segments are equal.
7(n+4) = 5(n+8)
7n + 28 = 5n + 40
7n - 5n = 40 - 28
2n = 12
n = 6
