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