Math miscellaneousHard
Question
f′(x) and F(x) = If f′′(x) = - f(x) and g(x) = f′(x) and F(x) = 
and given that F(5) = 5, then F(10) is equal to
and given that F(5) = 5, then F(10) is equal toOptions
A.5
B.10
C.0
D.15
Solution
f′′(x) = - f(x) and f′(x) = g(x)
⇒ f′′(x) . f′(x) + f(x) . f′(x) = 0
⇒ f(x)2 + (f′(x))2 = c ⇒ (f(x)2 + (g(x))2 = c
⇒ F(x) = c ⇒ F(10) = 5.
⇒ f′′(x) . f′(x) + f(x) . f′(x) = 0
⇒ f(x)2 + (f′(x))2 = c ⇒ (f(x)2 + (g(x))2 = c
⇒ F(x) = c ⇒ F(10) = 5.
Create a free account to view solution
View Solution Free