# hw1-22 - (b Find the domain of C You should be able to do...

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Homework 1/22 1. Refer to your text, Section 1.1, Problem 7. (a) If A is the area of the triangle as a function of x , compute i. A (0) ii. A (1) iii. A (2) iv. A (3) (b) Find the domain and range of A . You should be able to do this by common sense. (c) Compute A ( x ). (d) Graph the function A ( x ). 2. Repeat all of this for perimeter, P . 3. Repeat all of this for both functions in Problem 8. 4. Repeat all of this for the three functions in Problem 9. 5. Refer to Problem 55 in Section 1.1 (a) Compute V (0). Then Compute V for a couple more numerical inputs. Your choice. (b) Find the domain of V . You should be able to do this by common sense. (c) Compute V ( x ). (d) Graph V ( x ). (e) Compute the range. (This could be tough. Try to get close. A graphing calculator might help.) (f) What x causes output V = 360 in 3 . (Hint: look for the answers on your graph, ±rst.) 6. Refer to Problem 62 in Section 1.1 (a) Then Compute C for several numerical inputs. Your choice, but choose sensibly.

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Unformatted text preview: (b) Find the domain of C . You should be able to do this by common sense. (c) Compute C ( x ). (d) Graph C ( x ). (e) Compute the range. (This could be tough. Try to get close. A graphing calculator might help.) 1 (f) What x causes the least output? (This could be tough. Try to get close. A graphing calculator might help.) (g) What is the least output? Hints and Answers 1. Answer (c) is in your book. The others are pretty easy once you know part (c). 2. Same as above. 3. For part (c), side length is l ( d ) = d/ √ 2 and area is A ( d ) = d 2 / 2. 4. Book has part (c). 5. Book has part (c). Domain is 0 < x < 7 in. (Think about it!). Range is 0 < V ≤ 6-√ 93 / 3 ≈ 385 . 7 in 3 . The “ ≤ ” is required. V ( x ) = 360 in 3 when x = 2 in or x = 8-√ 19 ≈ 3 . 641 in. 2...
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hw1-22 - (b Find the domain of C You should be able to do...

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