Math, asked by JHOPEHOBI, 4 months ago

W varies jointly as c and the square of a and inversely as b.​

Answers

Answered by hussainhussian
9

Answer:

W varies jointly as c and the square of a

W=kca2

where k is a constant W varies inverse is b

W=k/b

so the final answer is

W=(k cab2)/b

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Answered by amitnrw
7

W = kca²/b  if  W varies jointly as c and the square of a and inversely as b.​

Given:

W varies jointly as c and the square of a and inversely as b.​

To Find:

Relation

Solution:

Step 1:

W varies as c

=> W ∝ c

Step 2:

W varies as square of a

=> W ∝ a²

Step 3:

W varies inversely as b

=> W ∝ 1/b

Step 4:

Combining all

W ∝ ca²/b

Step 5:

Removing constant of proportionality/variation

W = kca²/b

where k is constant of proportionality/variation

Additional Info:

Direct proportion/variation if a variable increases then other variable also increases with a constant factor   y = kx

inverse  proportion/variation if a variable increases then other variable decreases with a  constant factor  xy = k

Joint  proportion/variation is a relationship between atleast three variables,  

where one variable varies directly with all other variables.

y = kxz

Combined proportion/Variation  is a relationship between three or more variables where it is in direct variation with few variable  

and in inverse  variation with other variable  y = kx/z

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