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(e^2x+1)+3-3(e^x+1)=e^x


We have three pencils on the table, other seven pencils are on the floor. Explain to a grade 4 class why pencils on the table are 3/10 of the pencils, not 3/7


The Marginal Revenue function for a company's product is: [05] MR = 220000 - 18x where x equals the number of units sold. If total revenue equals 0 when 0 units are sold, determine the total revenue. 


∫(1/x + 3/x2 - 4/x3 ) dx



A small rectangular warehouse is to be constructed which is to have an area of 10000 square feet. The building is to be partitioning internally in to eight equal parts. The costs have been estimated based on exterior and interior walls dimensions. The costs are $300 per running foot of exterior wall and plus $1100 per running foot of interior wall.

a) Determine the dimensions which will minimizes the construction costs?

b) What are the minimum cost?



An experiment was conducted to determine the effects of elapsed time on a person's memory. Subjects were asked to look at a picture which contained many different objects. After studying the pictures, they were asked to recall as so many of the objects as they could. At different time intervals following this, they would be asked to recall as many objects as they could. Based on the experiment, the following function was developed: = f(t) = 90 - 30 ln(t) where t ≥ 1

For this function represents the average percent recall as a function of time since studying the pictures (measured in hours). A value of = 50 would indicate that at the corresponding time t the average recall for the study group was 50 percent.

a) What is the average percent recall after 1 hour?

b) Find the expression for the rate of change in with respect to time.

c) What is the maximum percent and minimum percent recall?



A small rectangular warehouse is to be constructed which is to have an area of 10000 square feet. The building is to be partitioning internally in to eight equal parts. The costs have been estimated based on exterior and interior walls dimensions. The costs are $300 per running foot of exterior wall and plus $1100 per running foot of interior wall.   


An experiment was conducted to determine the effects of elapsed time on a 

person's memory. Subjects were asked to look at a picture which contained 

many different objects. After studying the pictures, they were asked to recall as 

so many of the objects as they could. At different time intervals following this, 

they would be asked to recall as many objects as they could. Based on the 

experiment, the following function was developed:

 = f(t) = 90 - 30 ln(t) where t ≥ 1

For this function represents the average percent recall as a function of time 

since studying the pictures (measured in hours). A value of = 50 would 

indicate that at the corresponding time t the average recall for the study group 

was 50 percent. 


In the context of dividing a bag of 18 oranges into sixths, explain what is the "whole" which is shared equally into six parts? Now answer the question: in which case may s " whole" not be one?


Explain to grade 4 class why pencils on the table are 3/10 of the pencils, not 3/7