Solve and show work if u can

4 Search ' webworkq.act.utoronto.ca HW5: Problem 2 Previous Problem Next Problem (1 point) The temperature, H, in degrees Celsius, of a cup of coffee placed on the kitchen counter is given by H = f (t), where t is in minutes since the coffee was put on the counter. (a) Is f " (1') positive or negative? ? (Be sure that you are abfe to give a reason for your answer.) (b) What are the units of f " (5)? help (units) Suppose that |f'(5)| = 1.8 and f(5) = 69. Fill in the blanks (including units where needed) and select the appropriate terms to complete the following statement about the temperature of the coffee in this case. At minutes after the coffee was put on the counter, its ? is and will ? by about in the next 60 seconds. Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have 15 attempts remaining. 4:45 9 Search webworkq.act.utoronto.ca MAA MATHEMATICAL ASSOCIATION OF AMERICA Logged in as Haider Khan. Log Out > webwork / mat135h1_f_lec0101 / hw5 / 3 HW5: Problem 3 Previous Problem Problem List Next Problem (1 point) The cost, C (in dollars) to produce g gallons of ice cream can be expressed as C = f(g). (a) In the expression f (275) = 300, what are the units of 275? ? what are the units of 300? ? (b) In the expression f' (275) = 1.2, what are the units of 275? ? what are the units of 1.2? ? (Be sure that you can carefully put into words the meanings of each of these statement in terms of ice cream and money.) Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have 15 attempts remaining. Email WeBWork TA4:45 1 ,5. [3. 4 Search 0 webworkq.act.utoronto.ca w (1 point) A laboratory study investigating the relationship between diet and weight in adult humans found that the weight of a subject, W, in pounds, was a function, W = f (c), of the average number of Calories, c, consumed by the subject in a day. (a) In the statement f(1600) = 160 what are the units of 1600? ? what are the units of 160? ? (Think about what this statement means in terms of the weight of the subject and the number of calories that the subject consumes.) (b) in the statement f '(2000) = 0, what are the units of 2000? ? what are the units of 0'? ? \\ (Think about what this statement means in terms of the weight of the subject and the number of calories that the subject consumes.) (c) In the statement f '1 (165) = 2400, what are the units of 165? ? what are the units of 2400? ? (Think about what this statement means in terms of the weight of the subject and the number of calories that the subject consumes.) (d) What are the units of f' (c) = dW/dc? 1) (e) Suppose that Sam reads about f ' in this study and draws the following conclusion: it Sam increases his average calorie intake from 2600 to 2640 calories per day, then his weight will increase by appr0ximately 0.6 pounds. Fill in the blanks below so that the equation supports his conclusion. f'( )= lI-b-n \\IA\" an. AA-\" Anson-J AMA:' An ail-\"'4' Hmhlm 4:45 7 Search AA webworkq.act.utoronto.ca C > webwork / mat135h1_f_lec0101 / hw5 / 5 HW5: Problem 5 Previous Problem Problem List Next Problem (1 point) Suppose that an accelerating car goes from 0 mph to 57.3 mph in five seconds. Its velocity is given in the following table, converted from miles per hour to feet per second, so that all time measurements are in seconds. (Note: 1 mph is 22/15 ft/sec.) Find the average acceleration of the car over each of the first two seconds. t (s) 0 1 2 3 4 5 U(t) (ft/s) 0.00 28.64 49.64 64.91 76.36 84.00 average acceleration over the first second = help (units) average acceleration over the second second = help (units) Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have 15 attempts remaining. A4:45 9 Search webworkq.act.utoronto.ca MAA MATHEMATICAL ASSOCIATION OF AMERICA Logged in as Haider Khan. Log Out > webwork / mat135h1_f_lec0101 / hw5 / 6 HW5: Problem 6 Previous Problem Problem List Next Problem (1 point) The position of a particle moving along the x-axis is given by s(t) = 812 + 2. Use difference quotients to find the velocity u(t) and acceleration a(t) , filling in the following expressions as you do so: U(t) = lim [ /h h-0 = a(t) = lim [ /h h-0 = Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have 15 attempts remaining. Email WeBWork TA4'45 '7 ' a? C} 4 Search 9 webworkq.act.utoronto.ca Previous Problem Problem List Next Problem (1 point) Consider the function f(x) graphed below. '7 For this function, are the following nonzero quantities positive or negative? f(4) is ? v f ' (4) is ? v f \" (4) is ? (Because this is a multiple choice problem, it will not Show which parts of the problem are correct or incorrect when you submit it. ) Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have 15 attempts remaining