Question

a quantity r=a^3*b^2/c^1/3if a is increase by1/3℅and b is decreased by0.5%and c is increased by3℅then r is increased by​

Answer 1

Answer: The percentage errors for A,B,C,D are respectively 1%, 2%,  4% and 2%

The formula for Q is, Q=  

C  

4

D  

2

1

​  

 

 

A  

2

B  

2

3

​  

 

 

​  

 

So from the formula of error calculation:

The percentage error in Q=  

Q

ΔQ

​  

×100

Q

ΔQ

​  

×100  =2  

A

ΔA

​  

×100+3/2  

B

ΔB

​  

×100+4  

C

ΔC

​  

×100+1/2  

D

ΔD

​  

×100

                      =2×1+  

2

3

​  

×2+4×4+  

2

1

​  

×2

                      =22% = (20+2)