 |
|---|
SELECT PAGE NO.
No Books/Pages Are Available |
SELECT PROBLEM NO. FOR THE PAGE |
| PAGE: 220 | SET: Exercises | PROBLEM: 1 |
(a) Complete the table.
First number  |
Second Number | Product  |
 |
 |
 |
 |
 |
 |
 |
 |
 |
 |
 |
 |
 |
 |
 |
 |
 |
 |
(b)
First number  |
Second Number | Product  |
 |
 |
 |
 |
 |
 |
 |
 |
 |
 |
|
 |
 |
 |
 |
 |
 |
 |
 |
 |
 |
 |
 |
 |
 |
 |
 |
 |
 |
 |
Observe the above table :
The maximum volume occurs at 
and 
.
(c) Find the product function.
First number is and the second number 
.
The product function is 
.
.
(d) Graph the function and locate the maximum point.
Graph of the function :
(e) The function is .
Apply the derivative on each side with respect to .
Find the critical numbers by equating derivative to zero.
The critical number is 
.
Substitute in .
.
is maximum when .
Find the two numbers:
First number is 
.
Second number .
The two numbers are 
and .
(a) and (b)
| First number |
Second Number | Product |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
(c) .
(d) Graph of the function :
(e) The two numbers are and .
|
"I want to tell you that our students did well on the math exam and showed a marked improvement that, in my estimation, reflected the professional development the faculty received from you. THANK YOU!!!" June Barnett |
|
"Your site is amazing! It helped me get through Algebra." Charles |
|
"My daughter uses it to supplement her Algebra 1 school work. She finds it very helpful." Dan Pease |
Simply chose a support option
  
|