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The revenue from selling q items is R(q)=400 q-q2, and the total cost is C(q)=175 + 5 q. Write a function that gives the total profit earned, and find the quantity which maximizes the profit.
Show that if sum a_n converges absolutely then sum a^2_n also converges absolutely Does this proposition hold without absolute converge
Assume that the pool's depth increases constantly between the shallow end and the deep end. How fast in the height of the water increasing when the water has filled 4 feet of the deep end?
a ball falls from the height ofd 15 feet, each time it hits the ground it bounces up 60%of the height it fall. Assume it goes on forever, what is the total distance it travels.
A surveyor finds that a tree on the opposite bank of a river has a bearing of N 22 degrees 30'E from a certain point and a bearing of N 15 degrees W from a point 400 feet downstream. Find the width of the river.
A baseball player is up at bat. With the bat angled 60deg clockwise of forward and rotating clockwise at 160deg/sec, the player begins to accelerate the bat counterclockwise at a constant 2300deg/s^2(squared). The ball arrives at the plate 300ms l..
Describe the components of the regression model. What is an example of what X and Y can represent when we use this model in a health concept.
Prove the proposition. Let X be a metric space and Y be a submetric space of X. If Y is complete, then Y is closed in X. Conversely, if Y is closed in X and X is complete, then Y is complete.
Problem solving on population mean
What does the graph look like- describe the x placement. What is the graph function called? Give an example of a number you could place in for the variable x, and describe the shift from the original graph. Remember to note what your value you are..
Tom bond borrowed $6,600 at 5 1/2% for three years compounded annually. What is the compound amount of the loan and how much interest will he pay on the loan?
In a classroom of children (13 boys and 12 girls), five students are chosen to go to the blackboard. What is the probability that no boys are chosen?
A mini license plate for a toy car must consist of three numbers followed by a letter. Each number must be a 3,6, or 9. Repetition of digits is NOT permitted. Each letter must be an A, B, or C.
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