Calculate two iterations of Newton's Method to approximate a zero of the function using the given initial guess. (Round your answers to three decimal places.)
45. f(x) = x^{5} − 5, x_{1} = 1.4
n 
x_{n} 
f(x_{n}) 
f '(x_{n}) 

x_{n} −


1  
2 
40. Find two positive numbers satisfying the given requirements.
The product is 234 and the sum is a minimum.
smaller value=
larger value=
30.Determine the open intervals on which the graph is concave upward or concave downward. (Enter your answers using interval notation. If an answer does not exist, enter DNE.)
y = 2x + 7/sinx , (−π, π)
concave upward:
concave downward:
4.Find the points on the graph of the function that are closest to the given point.
f(x) = x^{2} − 8,(0, −5)
(x,y)= ( , ) (Smaller Xvalue)
(x,y)= ( , ) (Larger Xvalue)
45) and 40)
30)
concave upward:
concave downward:
4)
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