Course Modules: [225 X G In some depictions, Fi X G According to legend, | x G One of Mencius' majo x G In Confucius' view of | X Paraphrasing Tool | Q x VA HW#12 Ch3.3 Optimi: X + V X > C a webassign.net/web/Student/Assignment-Responses/tutorial?dep=29238590&tags=autosave#question4762394_0 K 1. [-/25 Points] DETAILS BERRAPCALCBR7 3.3.007.MI.SA. MY NOTES ASK YOUR TEACHER This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise Find (without using a calculator) the absolute extreme values of the function on the given interval. f(x) = x4+ 8x3 + 16 on [-7, 1] Step 1 To find the absolute extreme values of f(x) = x# + 8x + 16, we first find the critical numbers. This function is a polynomial, so to find its derivative, we use the Power Rule _ x|= axe - 1 on each term of the function. f' ( x ) = Submit Skip (you cannot come back) Show My Work (Optional)? 2. [-/25 Points] DETAILS BERRAPCALCBR7 3.3.019.MI.SA. MY NOTES ASK YOUR TEACHER 3 30C 7:40 PM Mostly cloudy O 7/19/2022Course Modules: [225 x G In some depictions, Fi X G According to legend, | X G One of Mencius' majo x G In Confucius' view of | X Paraphrasing Tool | Q X VA HW#12 Ch3.3 Optimi: X + V X C a webassign.net/web/Student/Assignment-Responses/tutorial?dep=29238590&tags=autosave#question4762673_1 K 2. [-/25 Points] DETAILS BERRAPCALCBR7 3.3.019.MI.SA. MY NOTES ASK YOUR TEACHER This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise Find (without using a calculator) the absolute extreme values of the function on the given interval. f ( x ) = x2 + 36 on [-8, 8] Step 1 To find the absolute extreme values of f(x) = - X x2 + 36 , we first find the critical numbers. This function is a quotient, so to find its derivative, we use the Quotient Rule d g(x) h(x)g'(x) - g(x)h'(x). dx h(x)] -. Substituting into this equation and taking the derivatives, we have ( h ( x ) ) 2 (x2 + 36) (1 ) - ( ( 2x ) f' ( x ) = Submit Skip (you cannot come back). Show My Work (Optional) ? 3 30 C 7:40 PM Mostly cloudy X 7/19/2022Course Modules: [225 x G In some depictions, Fix G According to legend, | x G One of Mencius' majo x G In Confucius' view of | X Paraphrasing Tool | Q x VA HW#12 Ch3.3 Optimi: X + V X > C a webassign.net/web/Student/Assignment-Responses/tutorial?dep=29238590&tags=autosave#question4762673_1 To K Submit |Skip_(you cannot come back). Show My Work (Optional)? 3. [-/10 Points] DETAILS BERRAPCALCBR7 3.3.027. MY NOTES ASK YOUR TEACHER The fuel economy (in miles per gallon) of a certain car is E(x) = -0.01x2 + 0.52x +10.4, where x is the driving speed (in miles per hour, 20 C a webassign.net/web/Student/Assignment-Responses/tutorial?dep=29238590&tags=autosave#question4762673_1 I K 5. [-/10 Points] DETAILS BERRAPCALCBR7 3.3.055. MY NOTES ASK YOUR TEACHER What is the difference between an absolute maximum value and a relative maximum value? O A function can have at most one relative maximum value, but it can have several absolute maximum values. The relative maximum value of a function must be greater than the absolute maximum value. O A function can have at most one absolute maximum value, but it can have several relative maximum values. O If a function has several relative maximum values, then it cannot have an absolute maximum value. O The absolute maximum value of a function must be greater than the relative maximum value. Show My Work (Optional)? 6. [-/10 Points] DETAILS BERRAPCALCBR7 3.3.061. MY NOTES ASK YOUR TEACHER If f'(7) = 0 and f"(7) > 0, what conclusion can you draw? O There is a relative minimum at x = 7. O There is an absolute minimum at x = 7. O There is a relative maximum at x = 7. O There is an absolute maximum at x = 7. O none of these Show My Work (Optional) ? 30 C 7:41 PM Mostly cloudy X 7/19/2022Course Modules: [225 x G In some depictions, Fi X G According to legend, | x G One of Mencius' majo x G In Confucius' view of | X Paraphrasing Tool | Q X VA HW#12 Ch3.3 Optimi: X + V X > C a webassign.net/web/Student/Assignment-Responses/tutorial?dep=29238590&tags=autosave#question4762673_1 To I K O There is an absolute maximum at x = /. O none of these Show My Work (Optional) 7. [-/10 Points] DETAILS BERRAPCALCBR7 3.3.045. MY NOTES ASK YOUR TEACHER An open-top box is to be made from a square piece of cardboard that measures 6 inches by 6 inches by removing a square from each corner and folding up the sides. What are the dimensions and volume of the largest box that can be made in this way? length in width in height volume in 3 # Show My Work (Optional) @ Submit Assignment Save Assignment Progress 30.C O Mostly cloudy W C 7:41 PM X 7/19/2022