Let f(x) represent the total number of items a subject has memorized rhours after being presented with a long list of items to learn. Psychologists refer to the graph ofy = f(x) as a learning curve and to f'(x) as the learning rate. Suppose that the learning rate is10.1.2f(r) = -0.06r2++1a. Find an equation for the learning curve with nothing memorized at the beginning.1of b. What will be the total number memorized in the first 10 hours?flo)=?

Answered: Image /qna-images/answer/dda4ff63-43a4-4b94-b409-7460e4081d48.jpg

Answered: Let f(x) represent the total number of…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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The price p (in dollars) and the demand x for a particular clock radio are related by the equation x = 5000 – 50p. (A) Express the price p in terms of the demand x, and find the domain of this function. (B) Find the revenue R(x) from the sale of x clock radios. What is the domain of R? (C) Find the marginal revenue at a production level of 2800 clock radios. (D) Interpret R'(3900) = – 56.00.
Use the graph of f and g. p(x) = f(x)g(x) f(x) g(x) q(x) y 10 8. f 4 2 -2 4 6. 8 10 -2 (a) Find p'(2). p'(2) = (b) Find q'(4). q'(4) = 2.
The graph y = f(x) is given, Sketch the graph of y = f'(x) on top of the graph and sketch y = f"(x) on the second graph .Clearjy label the coordinates of the x-intercepts of each graph.
Advanced Math Question
Use the graph of f and g. p(x) = f(x)g(x) g(x) = f(x) g(x) -2 10- 8 6 2 0 (a) Find p'(8). p'(8) = (b) Find q'(1). q'(1) = 2 4 X f 8 g 10
The graphs of f and g are shown. Let h(x) = f(g(x)) and s(x) = g(f(x)). y 15 10 5 -2 4 6. 10 (a) Write an equation for h'(x) in terms of f(x), g(x), f'(x), and g'(x). O h'(x) = g'(f'(x))f'(x) O h'(x) = g'(f(x))f'(x) h'(x) = f'(g'(x))g'(x) h'(x) = f'(g(x))gʻ(x) O h'(x) = f'(g'(x))g(x) O h'(x) = g'(f'(x))f(x) Find h'(3). (If an answer does not exist, enter DNE.) (b) Write an equation for s'(x) in terms of f(x), g(x), f'(x), and g'(x). O s'(x) = f'(g(x))g'(x) O s'(x) = g'(f'(x))F'(x) O s'(x) = f'(g'(x))g'(x) s'(x) = g'(f(x))f'(x) s'(x) = f'(g'(x))g(x) s'(x) = g'(f'(x)){x) Find s'(7). (If an answer does not exist, enter DNE.)
Find the relative maxima and minima, if any, of h(t)=3-t^2/3 without using a graph.

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