Symbolic answers must be entered using notation similar to the examples given below. If you enter decimal numbers for questions that indicate that a symbolic answer is required, it will be marked as zero, regardless of whether the decimal number is correct or not. Integer numbers (positive, negative, and O) are allowed. Below are some examples. Example Math Expression How to Enter the Answer 2 -3/5 infinity 2\"8+l 2+exp(5) 5*pi/9 4/7-3*ln (2) sqrt(2) 5"(l/3) sqrt(5exp(3)+2*ln(7*pi)) fac(5) Instructions: 1. Save your work occasionally (at least once every 15 minutes) or your session will be timed out and you will lose any unsaved work. 2. You can edit and change your answers as many times as you want before the deadline. 3. You can submit your work for grading a maximum of 3 times. (If you save your work but do not submit it for grading then it will automatically be submitted after the deadline.) Answer Format Unless otherwise noted, enter answers as: - Whole Numbers - Exact Fractions (e.g., 2/3 or -5/4) or (only when necessary): - Decimals correct to six decimal places The use of decimal numbers is discouraged because decimal numbers are subject to rounding errors, which could cost you marks! Topics: Sections 4.7, 4.9, and Appendix E in the textbook. Problem #1: A box with an open top is to be constructed from a square piece of cardboard, 3 ft wide, by cutting out a square from each of the four corners and bending up the sides. Find the largest volume that such a box can have. Problem #1: Enter your answer symbolically, as in these examples Just Save Submit Problem #1 for Grading Problem #1 |Attempt #1 Attempt #2 Attempt #3 Your Answer: Your Mark: Problem #2: Suppose that a right triangle has legs of lengths 6 cm and 7 cm. (Note that the legs of a right triangle are the two sides that are not the hypotenuse.) A rectangle is inscribed in this right triangle so that two sides of the rectangle lie along the legs. Find the largest possible area of such a rectangle. Problem #2: Enter your answer symbolically, as in these examples Just Save Submit Problem #2 for GradingPrOblem #3: A rectangular plot of land is to be enclosed by a fence. Furthermore an additional section of fence is set parallel to one side, cutting the plot into two smaller rectangles. If 240 meters of fence are available, What is the greatest area of land that can be fenced in this manner? ' Just Save ' ' Submit Problem #3 for Grading Problem #3 Attempt #1 Attempt #2 Attempt #3 Your Answer: Your Mark: PrOblem #4: The graph off' is given to the right. Which of the below graphs is a graph of its antiderivative f '3 W A AA A (E) (F) (G) (H) Problem #4: Select v Just Save Submit Problem #4 for Grading Problem #4 Attempt #1 Attempt #2 Attempt # 3 Your Answer Your Mark: Problem #5: (a) "Suppose that f'(x) = for x > 0, and that f(1) = 0. Find f(4). (b) Suppose that f'(x) = 1472 and that f(0) = 5. Find f( 75). Problem # 5(a) : Enter your answer symbolically, as in these examples Problem #5(b): Enter your answer symbolically, as in these examples Just Save Submit Problem #5 for Grading Problem #5 Attempt #1 Attempt #2 Attempt # 3 Your Answer: 5(a) 5 (a) 5(a) 5 ( b) 5 (b ) 5 ( b ) Your Mark: 5(a) 5(a 5 (a ) 5 (b) 5 ( b ) 5 ( b )Problem #6: Evaluate the following sum. E (-3 + 21)2 (A) = n (4n2+ 30n + 98) (B) in (5n2+ 165n+71) (C)3n(4n2-10n-64) (D)in (4n2 -12n + 11) (E) An (5n2 + 5n - 37) (F) in (4n2 - 10n + 14) (G) In(512 + 6n+ 2) (1) in(5n2 + 5n+5) Problem #6: Select v Just Save Submit Problem #6 for Grading Problem #6 Attempt # 1 Attempt #2 Attempt #3 Your Answer: Your Mark: Problem #7: Evaluate each of the following. (a) 96 (b) lim E :[()3-1] Problem #7(a): Enter your answer symbolically, as in these examples Problem #7(b): Enter your answer symbolically, as in these examples Just Save Submit Problem #7 for Grading Problem #7 Attempt #1 Attempt #2 Attempt #3 Your Answer: |7(a) 7(a 7(a) 7 (b ) 7 (b ) 7 (b) Your Mark: |7(a) 7(a) 7(a) 7 (b ) 7 (b ) 7 ( b )