Other techniques for sensitivity/uncertainty analysis, e.g., kriging followed by conditional simulation, will be used also. For example, the adjoint method may be used to reduce the scope to a size that can be readily handled by a technique such as LHS. The Office of Nuclear Waste Isolation will use the technique most appropriate for an individual situation. 2016 AP Exam Score Distributions displayed by exam as tweeted by Trevor. This unlimited number of parameters capability can be extremely useful for finite element or finite difference codes with a large number of grid blocks. The adjoint method is recommended when there are a limited number of performance measures and an unlimited number of parameters. Of deterministic techniques, the more » direct method is preferred when there are many performance measures of interest and a moderate number of parameters. The LHS technique is easy to apply and should work well for codes with a moderate number of parameters. Math > AP/College Calculus AB > AP Calculus AB solved free response questions from past exams >Walkthrough of the 2016 AP Calculus AB FRQ 2. One approach, based on Latin Hypercube Sampling (LHS), is a statistical sampling method, whereas, the second approach is based on the deterministic evaluation of sensitivities. Two different approaches to sensitivity/uncertainty analysis were used on this code. The continuous function f is defined on the closed interval. NO CALCULATOR IS ALLOWED FOR THESE QUESTIONS. This study focused on steady-state flow as the performance measure of interest. 2019 AP CALCULUS AB FREE-RESPONSE QUESTIONS CALCULUS AB SECTION II, Part B. The model consists of three coupled equations with only eight parameters and three dependent variables. (d) For 0 ≤ t ≤ 8, is there a time t when the rate at which water is pumped into the tank is the same as the rate at which water is removed from the tank? Explain why or why not.A computer code was used to study steady-state flow for a hypothetical borehole scenario. (c) Use your answer from part (b) to find an estimate of the total amount of water in the tank, to the nearest liter, at the end of 8 hours. Is this an overestimate or an underestimate of the total amount of water removed? Give a reason for your answer. 2019 Bc Frq Answers 2019 Bc Frq Answers7 - Derivatives of sinx cosx e x and lnx - SOLUTIONS 2019 AP Calculus AB & AP Calculus BC Exam Free Response Question. (b) Use a left Riemann sum with the four subintervals indicated by the table to estimate the total amount of water removed from the tank during the 8 hours. At time t = 0, there are 50,000 liters of water in the tank. The particle is at position x Ê 2 Ú at time t 4. The velocity of the particle at time t is given by t È t 2 Ø 2sin É Ù. Selected values of R(t) are shown in the table above. For t 0, a particle moves along the x-axis. Water is removed from the tank at a rate modeled by R(t) liters per hour, where R is differentiable and decreasing on 0 ≤ t ≤ 8. Water is pumped into a tank at a rate modeled by W(t) = 2000e -t 2/20 liters per hour for 0 ≤ t ≤ 8, where t is measured in hours.A response that presents an answer of only 8. Questions And Worked Solutions For AP Calculus AB 2016ĪP Calculus AB 2016 Free Response Questions - Complete Paper (pdf)ĪP Calculus AB 2016 Free Response Question 1 A response of f ( 90 )( 90 60 ) + f ( 120 )( 120 90 ) + f ( 135 )( 135 120 ) 8.25 earns both the second and the third points.
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