Answer:
(a)
The function f is continuous at [1,e] and differentiable at (1,e), therefore
the mean value theorem applies to the function.
(b)
= 1.71828
Step-by-step explanation:
(a)
The function f is continuous at [1,e] and differentiable at (1,e), therefore
the mean value theorem applies to the function.
(b)
You are looking for a point 
such that
You have to solve for and get that
= 1.71828
Answer:
-4 (as - and + = -)
Step-by-step explanation:
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The x intercept occurs when y = 0.
0=(x+2)^2 - 1
1=(x+2)^2
Take the square root of both sides. Note that the sqrt of 1 is 1. Then solve for x.
1=x+2
-1=x
The x intercept is -1.
The y intercept occurs when x=0.
y=(0+2)^2 - 1
y=2^2 -1
y=4-1
y=3
The y intercept is 3.
Now, to find the vertex...
This parabola is currently in a format called the vertex form, which is:
f(x) = (x-h)^2 + k
where (h, k) is the vertex.
Therefore, the vertex is (-2, -1).
Answer: 2a - 7
<u>Step-by-step explanation:</u>
Ana: a
Mrs Vargas: 4a - 4
Leo: 2a + 3
Mrs Vargas - Leo
= (4a - 4) - (2a + 3)
= 4a - 4 -2a - 3
= 2a - 7
Answer:
40k+45m
Step-by-step explanation:
5(8k)=40k + 5(9m)= 45m
