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Quiz: 11ASP T3 sec 4.5 4.6 HW5' Use Hôpital's rule to find the following limit im (In ix-In (x+9)) im (in 6x-In (x+9))-(Type an exact answer.) KIE III Question 7 of 13 This quiz: 13 points) possible This question: 1 point(s) possible Submit quiz Next
Quiz: 11ASP T3 sec 4.5 4.6 HW5' Question 8 of 13 For parts (a) through (d), which calculation is correct? Why are the other answers wrong? (a) is im xinx-0-(-00)=0 correct or not? *40* OA No, because 0 (-00) is an indeterminate form and Hôpital's rule gives the limit 0 as x-0. OB. Yes, because the limit value is 0 as x-0. (b) is lim xinx-0 (-00)-00 correct or not? OA No, because 0-(-a) is an indeterminate form and Hôpital oes not give the limit-o as x-0 OB. Yes, because the limit value iso as x-0 (c) is Im xinx im -1 corect or not? 20 D This quiz: 13 points) possible This question: 1 pointis) possible Submit quiz Next
This quiz: 13 point(s) possible Quiz: 11ASP T3 sec 4.5 4.6 HW5' Question 9 of 13 This question: 1 point(s) possible a. How close does the curve y√x come to the point (150) 20 (Hint: If the square of the distance is minimized, square roots can be avoided.) b. Graph the distance function Dix) (the square of the distance) and y=√x together and reconcile the result with the result in part (a). a. First determine the function D(x), the square of the distance, from the curve y=√x to the point whose value must be minimized D(X)- The minimum distance from the curve y=√x to the point units. (Type an exact answer.) b. Graph the distance function Dix) (the square of the distance) and y=√x together. Choose the correct graph below. Submit quiz avi Next O
Quiz: 11ASP T3 sec 4.5 4.6 HW5' Question 9 of 13 This quiz: 13 point(s) possible This question: 1 point(s) possible ? (Hint: If the square of the distance is minimized, square roots can be a. How close does the curvey=√x come to the point avoided.) b. Graph the distance function D(x) (the square of the distance) and y=√x together and reconcile the result with the result in part (a). CHIE b. Graph the distance function D(x) (the square of the distance) and y=√x together. Choose the correct graph below. OA OB. OC. O D. Q Q Q G HA. No Submit quiz Vi IV. Q C O
Quiz: 11ASP T3 sec 4.5 4.6 HW5' Question 9 of 13 possible This question: 1 point(s) possible ? (Hint: If the square of the distance is minimized, square roots can be a. How close does the curve y=√x come to the point avoided) b. Graph the distance function Dix) (the square of the distance) and y=√x together and reconcile the result with the result in part (a). K G K HT:0 H ₂0 Reconcile the result with part (a). The minimum distance is from the point to the point on a graph of y=√x and this occurs at the value x = = where Dix), the distance squared, has its value. (Type an ordered pair. Simplify your answers.) Next ||| N Submit quiz ave
Quiz: 11ASP T3 sec 4.5 4.6 HW5' Question 10 of 13 Evaluate the following limit using 'Hôpital's Rule 2 sin 8x lim *-0 3x D Use Hôpital's Rule to rewrite the given limit so that it is not an indeterminate form 2 sin 8x lim lim X-0 Evaluate the limit 2 sin 8x lim (Simplify your answer.) 3x x-0 This quiz: 13 point(s) possible This question: 1 point(s) possible Submit quiz
Quiz: 11ASP T3 sec 4.5 4.6 HW5' Question 11 of 13 Use T'Hôpital's Rule to find the following limit. lim (x-x)cscx - What must be done to put the given expression in a form to which I'Hôpital's rule can be directly applied? (x-x) OA. The expression must be rewritten as lim sinx OB. Nothing, the given expression already has the indeterminate form 음 OC. Nothing, the given expression already has the indeterminate form OD. The expression must be rewritten in the expanded form. This quiz: 13 point(s) possible This question: 1 point(s) possible Submit quiz
Find the limit. m (x-xjesc x (Type an exact answer) *** Next
Quiz: 11ASP T3 sec 4.5 4.6 HW5' Use Hopital's Rule to find the limit. x12 lim *-0 12"-1 *12* 012-1 =(Type an exact answer.) Question 12 of 13 This quiz: 13 point(s) possible This question: 1 point(s) possible Submit quiz Next
Question 13 of 13 This quiz: 13 points) possible This question: 1 point(s) possible Submit quiz Suppose that cox)-4- +23,000x is the cost of manufacturing x items. Find a production level that will minimize the average cost of making items GEE The production level that minimizes the average cost of making x items is x- (Simplify your answer) At this level, the average cost of making x tems is $ (Simplity your answer.) Submit quiz Quiz: 11ASP T3 sec 4.5 4.6
This quiz: 13 points) possible Quiz: 11ASP T3 sec 4.5 4.6 HW5' Question 4 of 13 This question: 1 point(s) possible Determine the dimensions of the rectangle of largest area that can be inscribed in the right triangle shown in the accompanying figure The width of the rectangle with largest area is The height of the rectangle with largest area is units. units. Submit quiz 1345 17 Next 144 O