Answer:
A
Step-by-step explanation:
x=4 and x=6 is where the graph touches the x axis
Differentiating the function
... g(x) = 5^(1+x)
we get
... g'(x) = ln(5)·5^(1+x)
Then the linear approximation near x=0 is
... y = g'(0)(x - 0) + g(0)
... y = 5·ln(5)·x + 5
With numbers filled in, this is
... y ≈ 8.047x + 5 . . . . . linear approximation to g(x)
Using this to find approximate values for 5^0.95 and 5^1.1, we can fill in x=-0.05 and x=0.1 to get
... 5^0.95 ≈ 8.047·(-0.05) +5 ≈ 4.598 . . . . approximation to 5^0.95
... 5^1.1 ≈ 8.047·0.1 +5 ≈ 5.805 . . . . approximation to 5^1.1
B. The product of two irrational numbers if rational
Example: The square root of 2 times the square root of 3, is the square root of 6, which is still irrational.
Step-by-step explanation:
the value of root three is given already so the question is asking you to round it of to the nearest 1000 which means there should be three numbers after the decimal point.
Answer:
the slope for the first one is 0
the slope for the second one is 2
the slope for the third one is 3/8
Step-by-step explanation: