![]() 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. Math > AP/College Calculus AB > AP Calculus AB solved free response questions from past exams >Walkthrough of the 2016 AP Calculus AB FRQ 2. The Office of Nuclear Waste Isolation will use the technique most appropriate for an individual situation. ![]() 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. 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. This is an overestimate, since Rt is decreasing for 08 t. (b) The left Riemann sum approximation is 13401 1190 2 950 3 liters. Two different approaches to sensitivity/uncertainty analysis were used on this code. 2016 AB AP Calculus Free-Response Solutions and Notes Question AB-1 (a) (3) (1) 950 1190 2 120 31 31 RR R liters per hour per hour. Founded in 1900, the College Board was created to expand access to higher education. This study focused on steady-state flow as the performance measure of interest. AP Calculus AB 2012 Scoring Guidelines The College Board The College Board is a mission-driven not-for-profit organization that connects students to college success and opportunity. 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. Answer point Scoring notes: The response must be a definite integral with correct lower and upper limits to earn this point. Is this an overestimate or an underestimate of the total amount of water removed? Give a reason for your answer. 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. (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. For t 0, a particle moves along the x-axis. ![]() At time t = 0, there are 50,000 liters of water in the tank. Selected values of R(t) are shown in the table above. 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.
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