Chapter3: Functions
Section3.1: Functions And Function Notation
Problem 8TI: Using Figure 7, solve f(x)=1 .
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Question
Let G(x) be given, where f is continuous for all real t. Find (a) G(0), (b) G′(0), (c) G″(x), and (d) G″(0).
Expert Solution
Step 1
(a)
The given function where f is continuous for all real values of t.
The integration is performed as,
In the function, G(x) interchange the value of x with 0.
So,
Step 2
(b)
According to the second fundamental theorem of calculus, .
Let .
Thus, .
Now,
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