Math miscellaneousHard
Question
Let 
F(x) = 
, x > 0. If 
dx = F(k) - F(1), then one of the possible values of k, is
F(x) = , x > 0. If dx = F(k) - F(1), then one of the possible values of k, isOptions
A.15
B.16
C.63
D.64
Solution
F′(x) = 
dx = F(k) - F(1)
dx = F(k) - F(1)
F′(x)dx = F(k) - F(1)
F(64) - F(1) = F(k) - F(1)
⇒ k = 64.
Hence, (D) is the correct answer.
dx = F(k) - F(1) dx = F(k) - F(1) F′(x)dx = F(k) - F(1) F(64) - F(1) = F(k) - F(1)
⇒ k = 64.
Hence, (D) is the correct answer.
Create a free account to view solution
View Solution FreeMore Math miscellaneous Questions
For 15 observations of x, mean and median were found to be 12 and 20 respectively. Later an observation which was 25 fou...If f : R → R satisfies f(x + y) = f(x) + f(y), for all x, y ∈ R and f(1) = 7, then f(r) is...A bag contains 3 red, 2 green and 2 white balls. Two balls are drawn at random and none of them is found to be a green b...The integral equals...If 2a + 3b + 6c =0, then at least one root of the equation ax2 + bx + c = 0 lies in the interval...