For the function / whose graph is shown, list the following quantities in increasing order, from smallest to largest, and explain your reasoning. (A) ∫ 0 8 f ( x ) d x (B) ∫ 0 3 f ( x ) d x (C) ∫ 3 8 f ( x ) d x (D) ∫ 4 8 f ( x ) d x (E) f ′ ( 1 )
For the function / whose graph is shown, list the following quantities in increasing order, from smallest to largest, and explain your reasoning. (A) ∫ 0 8 f ( x ) d x (B) ∫ 0 3 f ( x ) d x (C) ∫ 3 8 f ( x ) d x (D) ∫ 4 8 f ( x ) d x (E) f ′ ( 1 )
3.
Consider the sequences of functions fn: [-T, π] → R,
sin(n²x)
n(2)
n
(i) Find a function f : [-T, π] R such that fnf pointwise as
n∞. Further, show that f uniformly on [-T,π] as n→ ∞.
[20 Marks]
(ii) Does the sequence of derivatives f(x) has a pointwise limit on [-7,π]?
Justify your answer.
[10 Marks]
Good Day,
Please assist with the following.
Regards,
For each given function f(x) find f'(x) using the rules learned in section 9.5.
1. f(x)=x32
32x
2. f(x)=7x+13
3. f(x) =
x4
4. f(x) = √√x³
5. f(x) = 3x²+
3
x2
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.