Exam Name___________________________________ Practice Math 55 Final I will drop 45 problems before the final draft MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve. 1) - 1 1 < x-5 3 9 1 3 A) (-48, -42] 1) B) (42, 48] C) [2, -2) D) (2, 8] 2) A plane traveling 410 mph in still air encounters a 65-mph headwind. How long will it take the plane to travel 675 mi into the wind? Round your answer to the nearest
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x 2 D. [0, ] 2. Describe how the graph of y = f(x-2)+1 is obtained from graph of y = f(x). A. 2 left, then 1 up. Bộ môn Toán, ĐH FPT Hà Nội B. 2 right, then 1up. A. x = -1 C. y = -3 D. y = 3 10. Find c so that the function is continuous on R x 2 cx c 1 if g ( x) x 1 2 if x 1 C. 2 right, then 1 down. D. 2 left, then 1 down. 3. Let B. x = 2 f ( g ( x)) 2x 3. Then: A. f ( x) x , g ( x) 2x 3. A. 0 B. f ( x)
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Name Date: Math 7a Worksheet #7 Lesson 7: Unit Rate as the Constant of Proportionality DO NOW: Example 1: National Forest Deer Population in Danger? Wildlife conservationists are concerned that the deer population might not be constant across the National Forest. The scientists found that there were 144 deer in a 16 square mile area of the forest. In another part of the forest, conservationists counted 117 deer in a 13 square mile area. Yet a third conservationist
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differentiate any polynomial function. Polynomial functions are the first functions we studied for which we did not talk about the shape of their graphs in detail. To rectify this situation, in today’s lecture, we are going to formally discuss the information that the first and second derivatives give us about the shape of the graph of a function. The first derivative of the function f (x), which we write as f (x) or as df , is the slope of the tangent line dx to the function at the point x. To put this
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rate of change is the slope of the tangent line at one point that can be found by calculating the derivative of a function at that one single point. 2. Using this example I will approximate the second derivative by duplicating the steps but using the first derivative variables instead. Part 2: Rabbit Population Rabbit Population 1c. The graph plotted is a logistics function because it grows exponentially and then levels off as the x value approaches a saturation point. As the time increases
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following functions, find (a) (9 pts) y = 1 + x2 sin−1 (3x) dy . Assume y is a differentiable function of x. dx (b) (9 pts) ex+y = xy 3. (11 pts) (a) (4 pts) Complete the following definition: The derivative of the function f (x) with respect to the variable x is the function f ′ (x) defined by f ′ (x) = (b) (7 pts) Use that definition to find f ′ (1) if f (x) = (x − 4)2 . You cannot use the power rule. 4. (10 pts) Find the values of a and b that ensure that the following function is continuous
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1. Prove that fx=2x+5 is one-to-one function. 2. Let f: A→B, as given below. Is f a one-to-one function? Please explain why or why not. B A f 5 5 1 3 1 6 2 2 4 6 7 4 8 3 3. The modulo function (a mod n or a modulo n) maps every positive integer number to the remainder of the division of a/n. For example, the expression 22 mod 5 would evaluate to 2 since 22 divided by 5 is 4 with a remainder of 2. The expression 10 mod 5 would resolve
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W6 Assignment 1. Determine the domain of the function 2. Determine the domains of f and g 3. State the domain of the following function 4. Find the domain of the function and identify any vertical and horizontal asymptotes. 5. Find the domain of the function and identify any vertical and horizontal asymptotes. 6. Find the domain of 7. Determine the domain of 8. Find the domain of the function and identify any vertical and horizontal asymptotes. 9. Determine the equations of the vertical
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playBtnDown); //Functions function playBtnOver(e:MouseEvent)( playBtn.gotoAndStop(2); ) function playBtnOut (e:MouseEvent)( playBtn.gotoAndStop(1); ) function playBtnDown (e:MouseEvent)( ballMotion.play(); ballShape.play(); ) import flash.media.Sound; import flash.media.SoundChannel; import flash.display.MovieClip; stop();// Assign The URL to the mp3 to play var req:URLRequest = new URLRequest(".mp3");// Boolean value for button functions, to switch in the
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The Production Function for Wilson Company By using the EViews software, we get the result below by using Least Square method: Dependent Variable: Y | | | Method: Least Squares | | | Date: 06/18/12 Time: 03:24 | | Sample: 1 15 | | | Included observations: 15 | | | | | | | | | | | | Variable | Coefficient | Std. Error | t-Statistic | Prob. | | | | | | | | | | | C | -130.0086 | 129.8538 | -1.001192 | 0.3365 | L | 0.359450 | 0.245593 | 1.463601
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