MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- 5. Let V denote the volume of water held in a 1-liter bottle. The pdf of V is f(v) = 90v³ (1v) 0 < v<1 (a) Graph the pdf. Then obtain the cdf of V and graph it. (b) What is P(V <.5) [i.e., F(.5)]? (c) Using part (a), what is P(.25 < V<.5)? What is P.(.25arrow_forwardshow that the x corrdinate gaurentted to exist for the mean value theorm for f(x)=1/x on the interval [a,b] with 0<a<b is C=sqrt(ab),arrow_forward(3) Determine whether the Mean Value theorem can be applied to f on the closed intervals [a,b]. If the MVT can be applied, find all values of cin the open interval (a,b) such that ƒ'(c) = f(b)-f(a) b-a *+1 f(x) = 1 If MVT cannot be applied, explain why not. I [-1,2].; [1,2]arrow_forwardIdentify the function and interval which does not meet the conditions for applying the Mean Value Theorem. Select one: f(r) - VE, [0,2] O f(r) – a', (-2, 2] o (#)- 2, [0,3] 1 f(x)3= [1,4] f(r) tan(r), [0, 51arrow_forwardGiven that the function f [-5,8] → R is continuous on [-5, 8], differentiable on (-5,8), and −4 < f'(x) < 4 for all x in (-5,8). If f(0) = 2, find a range for the values of f(x).arrow_forward4. Find the value of a so that for f(x) = x³ + ax² - 10x+6 and the interval 0 < x < 4 the location satisfying the Mean Value Theorem is at x = 1.arrow_forwardarrow_back_iosarrow_forward_ios
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