Answer:
a) 28,662 cm² max error
0,0111 relative error
b) 102,692 cm³ max error
0,004 relative error
Step-by-step explanation:
Length of cicumference is: 90 cm
L = 2*π*r
Applying differentiation on both sides f the equation
dL = 2*π* dr ⇒ dr = 0,5 / 2*π
dr = 1/4π
The equation for the volume of the sphere is
V(s) = 4/3*π*r³ and for the surface area is
S(s) = 4*π*r²
Differentiating
a) dS(s) = 4*2*π*r* dr ⇒ where 2*π*r = L = 90
Then
dS(s) = 4*90 (1/4*π)
dS(s) = 28.662 cm² ( Maximum error since dr = (1/4π) is maximum error
For relative error
DS´(s) = (90/π) / 4*π*r²
DS´(s) = 90 / 4*π*(L/2*π)² ⇒ DS(s) = 2 /180
DS´(s) = 0,0111 cm²
b) V(s) = 4/3*π*r³
Differentiating we get:
DV(s) = 4*π*r² dr
Maximum error
DV(s) = 4*π*r² ( 1/ 4*π*) ⇒ DV(s) = (90)² / 8*π²
DV(s) = 102,692 cm³ max error
Relative error
DV´(v) = (90)² / 8*π²/ 4/3*π*r³
DV´(v) = 1/240
DV´(v) = 0,004
The table could include values like this:
x y
-2 -8
-1 -2
0 0
1 -2
2 -8
Answer:
There are 24 cats at the shelter on Wednesday.
Step-by-step explanation:
Since we have given that
Cost of an animal shelter per day to care for each cat =$1.00
Cost of an animal shelter per day to care for each dog = $4.50
Let number of cats be c
Let number of dogs be d
According to question,
We will use "Substitution Method ",
Put in the second equation :
so, Number of dogs = 25
and
Hence, Number of cats is 24.
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Answer:
The answer is "0.081"
Step-by-step explanation:
Dimes 
Calculating total coins 
P(for a dime) 
Calculating remaining coins 
Nickels 
P(for nickel draw in second) 
P(for a dime after that a nickel, without replacement)
