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Let f be continuous on [0, a] and differentiable on (0, a), Prove that if f(a)=0 then there is at least one value of x in (0, a)
, such that f(x)= -xf'(x).(5marks) (%4h) 4
1 answer:
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Answer:
Step-by-step explanation:
we know that
An exterior angle of a triangle is equal to the sum of the opposite interior angles.
see the attached figure to better understand the problem
so
∠DEF=∠ECD+∠CDE
substitute the given values
solve for x
Combine like terms
Group terms
Find the measure of angle CDE
substitute the value of x
