I am having problems with this part of my assignment would i be able to get some help and show the working for these questions
I am having problems with this part of my assignment would i be able to get some help and show the working for these qu...
This is my question:
4. (a) A function f has first derivative f' (a) and second derivative a2 (x +3) 3 It is also known that the function f has r-intercept at (-3,0), f"(z) and a y-intercept at (0,0) (i) Find all critical points, and use them to identify the intervals over which you will examine 3 marks (ii) Use the f'(x), and the First Derivative Test to classify each critical point. [3 marks (iii) Use the second derivative to...
4. (a) A function f has first derivative f'(x) and second derivative 2 f" (x) It is also known that the function f has r-intercept at (-3,0), and a y-intercept at (0,0) (i) Find all critical points, and use them to identify the intervals over which you will examine the behaviour of the first derivative. 3 marks] (ii) Use the f(x), and the First Derivative Test to classify each critical point.[3 marks] (iii) Use the second derivative to examine the...
4. (a) A function f has first derivative f' (x) - and second derivative f"(x) It is also known that the function f has r-intercept at (-3,0), and a y-intercept at (0,0) (i) Find all critical points, and use them to identify the intervals over which you will examine the behaviour of the first derivative. 3 marks] (ii) Use the f'(x), and the First Derivative Test to classify each critical point. 3 marks (iii) Use the second derivative to examine...
)and second derivative 4. (a) A function f has first derivative f'(x) f(E) It is also known that the function f has r-intercept at (-3,0), and a y-intercept at (0, Q) (i) Find all critical points, and use them to identify the intervals over which you will examine the behaviour of the first derivative [3 marks] (ii) Use the f(x), and the First Derivative Test to classify each critical point.[3 marks] (ii) Use the second derivative to examine the concavity...
4. (a) A function f has first derivative f (r) - and second derivative f"(z) It is also known that the function f has r-intercept at (-3,0), and a y-intercept at (0,0) (i) Find all critical points, and use them to identify the intervals over which you will examine the behaviour of the first derivative (ii) Use the f'(x), and the First Derivative Test to classify each critical point. (iii) Use the second derivative to examine the concavity around critical...
4. (a) A function f has first derivative f'(r) and second derivative It is also known that the function f has r-intercept at (-3,0), and a y-intercept at (0, 0) i) Find all critical points, and use them to identify the intervals over which you will examine the behaviour of the first derivative 3 marks (İİ) Úse the f,(x), and the First Derivative Test to classify each critical point. [3 marks] Iİİ) Úse the second derivative to examine the concavity...
4. (a) A function f has first derivative f') and second derivative It is also known that the function f has r-intercept at (-3,0) and a y-intercept at (0,0) 0) Find all critical points, and use them to identify the intervals over which you will examine the behaviour of the first derivative. (ii) Use the f'(x), and the First Derivative Test to classify each critical point. (ii) Use the second derivative to examine the concavity around critical points that are...
(a) A function / has first derivative f'(z) = and second derivative 3) f"(x) It is also known that the function f has r-intercept at (-3,0), and a y-intercept at (0,0) (i) Find all critical points, and use them to identify the intervals over which you will examine the behaviour of the first derivative ii) Use the f'(), and the First Derivative Test to classify each critical point. (ii) Use the second derivative to examine the concavity around critical points...
and also this one
5 3 marks 2. Use the definition of the derivative to show that if f(x)--x then, 2-4. (b) An engineering firm has hired a Human Resources consultant to see how they can optimize the hourly productivity of its engineers. It is found through 'experiment' that in a large shared office the productive hours H that n number of engineers work each day, can be modelled by What is the optimal number of engineers the firm should...
Hello, I am having trouble with part c of this question.
Here is my work so far:
The solution for part c states that a possible solution is (e^16
* 4^3) / 3!
I am having trouble understanding how they got e^16 or why they
decided to use e^(4^2) for M in the equation |f(x) - Tn(x)| <=
(M / (n + 1)!) * |x - 0|^(n + 1).
From my understanding, I have to maximize H^3(x) (i.e. 3rd
derivative...