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
If f(1) = 1, f′(1) = 2, then is...The system of equations αx + y + z = α - 1, x + αy + z = α - 1, x + y + αz = α - 1 has no ...Let f(x) Then which one of the following is true?...If (-2, 6) is the image of the point (4, 2) with respect to the line L = 0, then L =...The value of is...