Using translation concepts, we have that:
- For the translation, she has to communicate if it is up, down, left or right and the number of units.
- For a reflection she must communicate over which line the reflection happened.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
A translation is either shift left/right or bottom/up, hence she has to communicate if it is up, down, left or right and the number of units.
A reflection is over a line, hence she must communicate over which line the reflection happened.
More can be learned about translation concepts at brainly.com/question/28373831
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68 is composite it has more factors than 1 and itself
        
                    
             
        
        
        
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