AP Biology students really knew well the content related to Cellular Energetics (Unit 3) and Natural Selection (Unit 7), with good performance overall on those topics, and ~10% of students earning every such point possible. ![]() We’ll notify the student and school in early fall when late exam scoring is complete. 1 student so far, out of 242,000 worldwide who took this year’s AP Biology Exam, has earned all 120/120 points possible.The low point of this year’s AP Art History exam was the long essay comparing holy figures (Q1) a surprising 24% of students were unable to summon an artistic depiction of a holy figure for comparison with the Reliquary of Sainte-Foy.Many students also scored well on Q4 about the Giza complex of pyramids (19% earned all 5 pts). AP Art History essays: students generally earned the highest scores on Q3, the visual analysis of the Katsushika Hokusai print 47% of students scored 5/5 on this essay.Once again, AP Art History students demonstrated very strong knowledge of the Global Contemporary art on the exam, followed by Ancient Mediterranean: 32% and 26% of students, respectively, answered virtually all such questions correctly.Kudos to AP Art History teachers and students 16% more students gained access to this exciting subject this year, and (in the 13 years I’ve been tracking this) earned higher scores on the full-length exam than any other group except the class of 2018.Problem and check your answer with the step-by-step explanations. Try the given examples, or type in your own Problem solver below to practice various math topics. Let P n(x) denote the nth-degree Taylor polynomial A function f has derivatives of all orders at x 0.If f(3) = -5/2, find the slope of the line tangent (d) The function g is defined by g(x) = (f(x)) 3. (c) On what open intervals contained in 0 < x < 8 is the graph of f both concave down and increasing? (b) Determine the absolute minimum value of f on the closed interval 0 ≤ x ≤ 8. (a) Find all values of x on the open interval 0 < x < 8 for which the function f has a local minimum. The function f is defined for all real numbers and satisfies f(8) = 4. The areas of the regions between the graph of f′ and the x-axis are labeled in the figure. The graph of f′ has horizontal tangent lines at x = 1, x = 3, and x = 5. The figure above shows the graph of f′, the derivative of a twice-differentiable function f, on the closed interval 0 ≤ x ≤ 8.Using this model,įind the rate at which the amount of coffee in the cup is changing when t = 5. (d) The amount of coffee in the cup, in ounces, is modeled by B9t) = 16 - 16e -0.4t. Using correct units, explain the meaning of in the context of the problem. (c) Use a midpoint sum with three subintervals of equal length indicated by the data in the table to approximate (b) Is there a time t, 2 ≤ t ≤ 4 at which C'(t) = 2 ? Justify your answer. Show the computations that lead to your answer, and ![]() (a) Use the data in the table to approximate C′(3.5). ![]() Values of C(t), measured in ounces, are given in the table above. The amount of coffee in the cupĪt time t, 0 ≤ t ≤ 6 is given by a differentiable function C, where t is measured in minutes.
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