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(Solved): (1) \int_0^((1)/(2)ln(5)) e^(x)= (A) \sqrt(3) B) \sqrt(3)-1 C) \sqrt(5) (2) The graph of the functio ...
(1)
\int_0^((1)/(2)ln(5)) e^(x)=(A)
\sqrt(3)B)
\sqrt(3)-1C)
\sqrt(5)(2) The graph of the function
f(x)=(lnx)/(x)has a relative maximum at
x=(A)
eD)
\sqrt(5)-1(3) From the accompanying figure, the graph of
y=f(x)is increasing on: A)
(-\infty ,+\infty )B)
(-\infty ,0]C)
[0,+\infty )D)
-1,1(4) If
f(x)=x^(5)+x^(3)+x, then
(f^(-1))^(')(0)=A)
(1)/(3)B) 3 C) 1 D)
(1)/(9)(5)
(d)/(dx)[tan^(-1)(x^(3))]=A)
(3x^(2))/(1+x^(6))B)
(2x)/(1+x^(4))C)
(x^(2))/(1+x^(6))D)
(x)/(1+x^(4))(6)
sin[2cos^(-1)((3)/(5))]=A)
(\sqrt(3))/(2)B)
(24)/(25)C)
(\sqrt(3))/(4)D)
(24)/(5)(7) The domain of the function
y=ln(x^(2)-4x+4)is: A)
(-\infty ,-2)\cup (2,+\infty )B)
(-2,2)C)
(-\infty ,2)\cup (2,+\infty )D)
(2,+\infty )(8) The value of
xsuch that
3^(x)=2^(x+1)is: A)
(ln(2))/(ln(3)-ln(2))B)
ln((2)/(3))C)
ln((3)/(2))D)
ln(3)-ln(2)(9)
\lim_(x->+\infty )(1+(9)/(x))^(5x)=: A) 1 B) 0 C)
e^(45)D)
e^((5)/(9))(10) Let
F(x)=\int_0^x (sint)/(t^(2)+1)dt. Find
F^(')(0); A)
\pi B) 0 C)
(1)/(2)D) 1
