P What's New X Section 4.4 Enl X P Do Homework X 7. The best fer X * Dashboard X metaphor the road no X 20 mylab.pearson.com/Student/PlayerHomework.aspx?homeworkld=667805132&questionld=6&flushed =false&cld=7732577&back=DoAssignm... C N Spring 2024 Calculus I (MATH-2413-ATH04) Nahtnaiel Hamilton Homework: Section 4.4 Enhanced Assignment Question 6, 4.4.85 HW Score: 90.91%, 10 of 11 points Part 2 of 2 Points: 1 of 1 Save The first derivative of a continuous function y = f(x) is given. Find y" and then sketch the general shape of the graph of f. Question list K y' = -2 cosx, OsXs2x Question 1 The second derivative is y" = 2 sinx . Question 2 Choose the correct sketch of the general shape of the graph of f. O A. O B. O C. VD. Question 3 Q Question 4 2x Question 5 Question 6 Question 7 Help me solve this View an example Get more help - Similar question Q Search W CN 2:46 PM 3/29/2024P What's New X Section 4.4 Enl X P Do Homework X 7. The best fer X * Dashboard X metaphor the road no X 20 mylab.pearson.com/Student/PlayerHomework.aspx?homeworkld=667805132&questionld=6&flushed=false&cld=7732577&back=DoAssignm... C N Spring 2024 Calculus I (MATH-2413-ATH04) Nahtnaiel Hamilton Homework: Section 4.4 Enhanced Assignment Question 9, 4.4.97 HW Score: 90.91%, 10 of 11 points Part 3 of 3 Points: 1 of 1 Save Question list K Use the graph below to fill in each entry of the grid with positive, negative or zero. y = f(x) Question 5 Question 6 Question 7 Question 8 D positive negative negative CO negative negative zero negative negative positive Outlook (new) . .. X Question 9 South University Online South University wants you, Nathaniel Question 10 Congratulations Nathaniel, You've been invited by South University Question 11 X Delete Help me solve this View an example Flag Get more help - Dismiss Q Search W CN qx O 2:46 PM 3/29/2024P What's New X Section 4.4 Enl X P Do Homework X 7. The best fer X * Dashboard X metaphor the road no X 20 mylab.pearson.com/Student/PlayerHomework.aspx?homeworkld=667805132&questionld=6&flushed =false&cld=7732577&back=DoAssignm... C N Spring 2024 Calculus I (MATH-2413-ATH04) Nahtnaiel Hamilton Homework: Section 4.4 Enhanced Assignment Question 11, 4.4.121 HW Score: 90.91%, 10 of 11 points O Points: 0 of 1 Save Question list K Find the values of constants a, b, and c so that the graph of y = ax + bx- + cx has a local maximum at x = - 2, local minimum at x = 4, and inflection point at (1, - 26). Question 5 a = b =] c=0 (Simplify your answers. Type integers or simplified fractions.) Question 6 Question 7 Question 8 Question 9 Question 10 Question 11 Textbook Ask my instructor Clear all Check answer Q Search W 2:47 PM COX O 3/29/2024P What's New X Section 4.5 Enl X P Do Homework X (15) 7. The be: X * Dashboard X metaphor the road no X 2% mylab.pearson.com/Student/PlayerHomework.aspx?homeworkld=667805133&questionld=5&flushed=false&cld=7732577&back=DoAss... Q C N Spring 2024 Calculus I (MATH-2413-ATH04) Nahtnaiel Hamilton Homework: Section 4.5 Enhanced Assignment Question 5, 4.5.25 HW Score: 92.86%, 9.29 of 10 points Points: 1 of 1 Save Use I'Hopital's Rule to find the following limit. Question list K lim (x - x)cotx Question 1 lim (x - x)cotx= 1 (Type an exact answer.) Question 2 Question 3 Question 4 Question 5 Question 6 Question 7 Ask my instructor Similar question Q Search W CN 2:48 PM 3/29/2024P What's New X Section 4.5 Enl X P Do Homework X (15) 7. The be: X * Dashboard X metaphor the road no X 20 mylab.pearson.com/Student/PlayerHomework.aspx?homeworkld=667805133&questionld=5&flushed =false&cld=7732577&back=DoAss... Q C N Spring 2024 Calculus I (MATH-2413-ATH04) Nahtnaiel Hamilton Homework: Section 4.5 Enhanced Assignment Question 10, 4.5.85 HW Score: 92.86%, 9.29 of 10 points Part 7 of 7 Points: 0.29 of 1 Save Question list K Prove that lim 1 + = e= for a # 0. Question 4 Note that the limit is an indeterminate form. Which indeterminate form is it? Question 5 O A. B. 100 Question 6 O C. 0.00 Question 7 OE. What is the next step for a limit that has the indeterminate form 10? Question 8 O A. Apply I'Hopital's Rule. Question 9 *B. Evaluate L = lim xIn 1 - a X-+00 O C. Write the limit in the form Question 10 m Textbook Ask my instructor Try again Q Search W CN 2:48 PM 3/29/2024P What's New X Section 4.5 Enl X P Do Homework X * Dashboard X (15) 7. The bes X metaphor the road no X 20 mylab.pearson.com/Student/PlayerHomework.aspx?homeworkld=667805133&questionld=5&flushed=false&cld=7732577&back=DoAss... Q C N Spring 2024 Calculus I (MATH-2413-ATH04) Nahtnaiel Hamilton Homework: Section 4.5 Enhanced Assignment Question 10, 4.5.85 HW Score: 92.86%, 9.29 of 10 points Part 7 of 7 Points: 0.29 of 1 Save Question list K Prove that lim 1 + = e= for a #0. Question 4 L'Hopital's Rule can be used to evaluate the limit, but it must be put in the form - or -. How should the limit be rewritten? U Question 5 A. L= lim xIn 1+ In (1 + a/x) = lim X-+00 X-+00 1/X Question 6 OB. L= lim xIn 1+ In (1 + a/x) = lim X-+00 X-+00 X Question 7 O C. L= lim xIn 1+ = lim X x-+00 x-+00 1 1/ In (1 + /ax) Question 8 O D. L= lim xIn 1 + #|= lim T X x-+00 * -+00 In (1 + a/x) Apply I'Hopital's Rule by finding the derivative of the numerator and the denominator separately. Question 9 -2 In (1 + a/x) 1+a/x Question 10 lim lim * +00 1/x X-+00 - - 2 Textbook Ask my instructor Try again Q Search W CN 2:49 PM 3/29/2024P What's New X Section 4.5 Enl X P Do Homework X * Dashboard X (15) 7. The bes X metaphor the road no X 20 mylab.pearson.com/Student/PlayerHomework.aspx?homeworkld=667805133&questionld=5&flushed=false&cld=7732577&back=DoAss... Q C N Spring 2024 Calculus I (MATH-2413-ATH04) Nahtnaiel Hamilton Homework: Section 4.5 Enhanced Assignment Question 10, 4.5.85 HW Score: 92.86%, 9.29 of 10 points Part 7 of 7 Points: 0.29 of 1 Save Question list K Prove that lim (1+ 9 = for a #0. Question 4 Apply I'Hopital's Rule by finding the derivative of the numerator and the denominator separately. Question 5 - ax 1-2 In (1 + a/x) 1+a/x lim = lim 1/x Question 6 X-+00 Simplify the expression before finding the limit. Question 7 - ax-2 1 + a/x a lim = lim x-+00 -2 1+a/x Question 8 Evaluate the limit. a Question 9 lim a -+00 1+ a/x Question 10 Thus, L = lim xIn 1+ = = a. The original limit equals et, which is es, so it has been proven that lim 1+ = = for a # 0. x-+00 x-+col Textbook Ask my instructor Try again Q Search IN W CN 2:49 PM 3/29/2024P What's New X Section 4.6 Enl X P Do Homework X * Dashboard X (15) 7. The bes X metaphor the road no X 20 mylab.pearson.com/Student/PlayerHomework.aspx?homeworkld=667805134&questionld=1&flushed =false&cld=7732577&back=DoAss... Q C N Spring 2024 Calculus I (MATH-2413-ATH04) Nahtnaiel Hamilton ? Homework: Section 4.6 Enhanced Assignment Question 1, 4.6.4 HW Score: 0%, 0 of 5 points Part 1 of 2 O Points: 0 of 1 Save Question list K A rectangle is constructed with its base on the x-axis and its upper two vertices on the parabola y = 4-x". What are the dimensions of the rectangle with the maximum area? What is the area? O Question 1 The shorter dimension of the rectangle is ] and the longer dimension is]. (Type an exact answer, using radicals as needed.) O Question 2 Question 3 O Question 4 O Question 5 Help me solve this View an example Get more help - Clear all Check answer Q Search W 2:50 PM 3/29/2024P What's New X Section 4.6 Enl X P Do Homework X * Dashboard X (15) 7. The bes X metaphor the road no X 20 mylab.pearson.com/Student/PlayerHomework.aspx?homeworkld=667805134&questionld=1&flushed =false&cld=7732577&back=DoAss... Q C N Spring 2024 Calculus I (MATH-2413-ATH04) Nahtnaiel Hamilton ? Homework: Section 4.6 Enhanced Assignment Question 2, 4.6.7 HW Score: 0%, 0 of 5 points Part 1 of 2 O Points: 0 of 1 Save Question list A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single-strand electric fence. With 800 m of wire at your disposal, what is the largest area you K can enclose, and what are its dimensions? O Question 1 The maximum area of the rectangular plot is O Question 2 Question 3 O Question 4 O Question 5 Ask my instructor Clear all Check answer Q Search W 2:50 PM 3/29/2024P What's New X Section 4.6 Enl X P Do Homework X Dashboard X (15) 7. The bes X metaphor the road no X 20 mylab.pearson.com/Student/PlayerHomework.aspx?homeworkld=667805134&questionld=1&flushed =false&cld=7732577&back=DoAss... Q C N Spring 2024 Calculus I (MATH-2413-ATH04) Nahtnaiel Hamilton Homework: Section 4.6 Enhanced Assignment Question 3, 4.6.13 HW Score: 0%, 0 of 5 points O Points: 0 of 1 Save Question list K Two sides of a triangle are 16 and 10. Find the size of the angle 0 (in radians) formed by the sides that will maximize the area of the triangle. (Hint: A= = |ab sin a.) O Question 1 The size of the angle @ (in radians) that will maximize the area of the triangle is]. (Type an exact answer, using x as needed.) O Question 2 Question 3 O Question 4 O Question 5 Help me solve this View an example Get more help - Clear all Check answer Q Search W 2:50 PM 3/29/2024P What's New X Section 4.6 Enl X P Do Homework X Dashboard X (15) 7. The bes X metaphor the road no X 20 mylab.pearson.com/Student/PlayerHomework.aspx?homeworkld=667805134&questionld=1&flushed=false&cld=7732577&back=DoAss... Q C N Spring 2024 Calculus I (MATH-2413-ATH04) Nahtnaiel Hamilton Homework: Section 4.6 Enhanced Assignment Question 4, 4.6.24 HW Score: 0%, 0 of 5 points O Points: 0 of 1 Save The trough in the figure is to be made to the dimensions shown. Only the angle 0 can be Question list K varied. What value of 0 will maximize the trough's volume? O Question 1 O Question 2 The trough has a maximum volume when the value of 0 is | radians. Question 3 (Type an exact answer, using it as needed.) O Question 4 O Question 5 Help me solve this View an example Get more help - Clear all Check answer Q Search W 2:50 PM 3/29/2024P What's New X Section 4.6 Enl X P Do Homework X * Dashboard X (15) 7. The bes X metaphor the road no X 20 mylab.pearson.com/Student/PlayerHomework.aspx?homeworkld=667805134&questionld=1&flushed=false&cld=7732577&back=DoAss... C N Spring 2024 Calculus I (MATH-2413-ATH04) Nahtnaiel Hamilton ? Homework: Section 4.6 Enhanced Assignment Question 5, 4.6.32 HW Score: 0%, 0 of 5 points O Points: 0 of 1 Save A piece of wire of length 53 is cut into two pieces. One piece is bent into a square and the other is bent into a circle. If the sum of the areas enclosed by each part is a minimum, what is the length of each part? Question list K O Question 1 To minimize the combined area, the wire should be cut so that a length of ] is used for the circle and a length of ] is used for the square. (Round to the nearest thousandth as needed.) O Question 2 Question 3 O Question 4 Question 5 Help me solve this View an example Get more help - Clear all Check answer Q Search W 2:51 PM 3/29/2024