Use calculus to sketch the graph of the given function. (a) f(x) = 3x* – 4x³ %3D (b) f(x) = 3x* – 8x³ + 6x² + 2 %3D (c) f(x) = 3 – (x + 1)³ %3D (d) f(x) = 2x³ + 6x² + 6x +5 %3D (e) f(x) = x³ (x +5)? %3D
Use calculus to sketch the graph of the given function. (a) f(x) = 3x* – 4x³ %3D (b) f(x) = 3x* – 8x³ + 6x² + 2 %3D (c) f(x) = 3 – (x + 1)³ %3D (d) f(x) = 2x³ + 6x² + 6x +5 %3D (e) f(x) = x³ (x +5)? %3D
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Graph letter e
X = 10
Y = 19
Transcribed Image Text:x = sum of the chronological orders of the last letter in your first name and first letter of
your family name
y = is the last two (2) digits of your student number; example, 45 in 20xx-12345.
Use calculus to sketch the graph of the given function.
(a) f(x) = 3x* – 4x3
(b) f(x) = 3x4 – 8x³ + 6x² + 2
(c) f(x) = 3 – (x + 1)³
(d) f(x) = 2x³ + 6x² + 6x +5
(e) f(x) = x³ (x + 5)²
![• For each item in this problem set, you will use the formula 1+ [(x+y) mod z),
and the variables are specified therein. The result using the formula per item will
correspond to the sub-item you will work on. Here, x is the number using letters
of the Filipino Alphabet where there are 28 of them; y comes your Student Number;
and z is the number of the sub-items therein. Moreover, a mod b is the remainder by
dividing a by b. Example: K is the 11th letter in the alphabet so x = 11 and suppose
y = 3, z = 5. Hence,
1+ [(x+y) mod z] = 1+[(11+3) mod 5]
= 1+[14 mod 5]
%3D
= 1+4
=5
Therefore you solve the 5th sub-item, i.e, (e).
Before you start writing or presenting your solution, be able to provide the values for
X,y, z and computation using the formula above. This will be part of the assessment.
Note your work will have no credit if
- the computation using the formula is incorrect;
- the set of values being asked is incorrect; or
you forget to put it.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F63ffdfd8-a3db-4391-8a39-45c5cb68cde4%2Fdc422bec-d003-4013-8a8b-5be5a0f6e42e%2Fzy5cwv9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:• For each item in this problem set, you will use the formula 1+ [(x+y) mod z),
and the variables are specified therein. The result using the formula per item will
correspond to the sub-item you will work on. Here, x is the number using letters
of the Filipino Alphabet where there are 28 of them; y comes your Student Number;
and z is the number of the sub-items therein. Moreover, a mod b is the remainder by
dividing a by b. Example: K is the 11th letter in the alphabet so x = 11 and suppose
y = 3, z = 5. Hence,
1+ [(x+y) mod z] = 1+[(11+3) mod 5]
= 1+[14 mod 5]
%3D
= 1+4
=5
Therefore you solve the 5th sub-item, i.e, (e).
Before you start writing or presenting your solution, be able to provide the values for
X,y, z and computation using the formula above. This will be part of the assessment.
Note your work will have no credit if
- the computation using the formula is incorrect;
- the set of values being asked is incorrect; or
you forget to put it.
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