Homework Statement
(1/x)^x - x = 0
Homework Equations
The Attempt at a Solution
(1/x)^x - x = 0
(1/x)^x = x
xln(1/x) = lnx
Thats all i got up to, I just need a kick in the right direction so I can finish it up.
Homework Statement
Nother Q for today:
Let f(x)= (1/x)^x - x
(a)show that f(x)=0 has a solution
(b)show that there is only one solution to f(x)=0
(c)use Newton's Method to find the second approximation x2 of the solution to f(x) =
0 using the initial approximation x1 = 1/2
Homework...
Homework Statement
evaluate the lim as x->0 of [sqroot(tan3x)+srroot(sin2x)]/sqroot(tan2x) WITHOUT using L'Hospital's Rule
Answer is sqrt3/2 + 1
This is in the exam review for my class, and I am having a hard time getting started on this one. Thanks in advance.
Homework Equations...
Homework Statement
Solve the inequality:
e^(2-3x)>4
Homework Equations
none
The Attempt at a Solution
would i start of like this?
e^(2-3x)>4
ln(2-3x)>ln4
if so how do i continue?
Homework Statement
find all values of x in the interval [0, 2pi] that satisfy the equation 2cosx + 1 less than or equal to 0
Homework Equations
None.
The Attempt at a Solution
for when 2cosx+1=0
cosx=-1/2
x= 2pi/3, 4pi/3
but what about the values for when 2cosx + 1 is less then...
Yup thanks for the reply, I ended up doing using the quadratic formula and ended up simplifying nicely (i got tanx= -sqrt3/3, sqrt3)
but one question how would i find ALL the values on [o,2pi], i know how to find the ones in the first quadrant (i.e. tanx= sqrt3 => x=pi/3 ) but how do i find...