Calculus
Find any absolute max/min and local max/min for the function f(x)=x^3-4x+5 on the interval [0,5). Made sure to prove that these points are max/min values. This is what I did so far. f'(x)=3x^2-4=0 3x^2=4 x= 2/sqrt3 The -2/sqrt3 is outside of interval so can't use. x=2/...
Calculus
The position in meters of a particle is given by f(t)= 14t-3t^2, where t is measured in seconds. a) Evaluate f'(2) and interpret the results. This is how I solved this. f'(t)=14-6t= 2(7-3t) f'(2)=2(7-3(2))= 2 This means the velocity of the particle is 2 m/s when t=...
accounting
(TCO 8) Partial balance sheets for ABC Company and additional information are provided below. ABC Company, Partial Balance Sheets, As of December 31 2009 2008 Equipment $100,000 $75,000 Accumulated depreciation (25,000) (20,000) Common stock, $5 par 180,000 100,000 Paid in ca...
Calculus
Bosnian, Thanks for your help. I just want to make sure I understand. The local min and max are the same f(2/sqrt3) = 1.92 Are there any absolute maximum or minimum? Thanks again.
Calculus
Find any absolute maximum and minimum and local maximum and minimum for the function f(x)=x^3-4x+5 on the interval [0,5). Make sure to prove that these points are max/min values. THis is what I did. f'(x)=3x^2-4=0 x= +/- 2/sqrt3 -2/sqrt3 is outside of interval so just use ...
Calculus
Use Newton's Method to approximate the root of the function f(x)=e^x-5x when the intial point chosene is x1=1.5. Do two iterations. This is what I did, but not working. f'(x)=e^x-5 x2=1.5 - (e^1.5-(5(1.5))/e^1.5 -(5)) =1.5-(4.4817-7.5/4.4817-5)=1.5-5.8234= -4.3234 x3=-...
Calculus
let f(x)=x^3(e^-x) Answer using calculus, use graphing calculator only to check work. a) Find the local and global extrema of f. b) Find the intervals where f is increasing/decreasing. c) Find the inflection points of f. d) Find the intervals where f is concave up/down. e) Fin...
calculus
The length of a rectangle is decreasing at the rate of 2 cm/sec, while the width w is increasing at the rate of 3 cm/sec. At what rate are the lengths of the diagonals changing at the instant that l=15 cm and w= 8 cm? Are the diagonals increasing or decreasing in length at thi...
math
i am a relflex angle. all the digits in my angle measure are even. all of my digits are different. all three of my digits are factors of 8. my tens digit is greater than my one digit. what is my measure?
chemistry
24. Hydrogen peroxide can decompose to water and oxygen according to: 2H2O2 (l) + -----------> 2H2O (l) + O2 (g) ^ H = -196 kJ What is the enthalpy change accompanying the reaction of 5.00 g H2O2 (l) according to the above mentioned reaction ?
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