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Lab 6

# Lab 6 - Lab 6 Problems Name_Ryan Corley Section_4 Example...

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Lab 6 Problems Name: __Ryan Corley Section: _4 _ Example: For the function 2 4 4 ( ) 7 x f x x - = + syms x f=(4-x^2)/(7+x^4) dfdx=diff(f,x) pretty(dfdx) f = (4-x^2)/(7+x^4) dfdx = -2*x/(7+x^4)-4*(4-x^2)/(7+x^4)^2*x^3 2 3 x (4 - x ) x -2 ------ - 4 ----------- 4 4 2 7 + x (7 + x ) dfdx_2= simplify(dfdx) dfdx_2 =2*x*(-7+x^4-8*x^2)/(7+x^4)^2 pretty(dfdx_2) 4 2 x (-7 + x - 8 x ) 2 ------------------ 4 2 (7 + x ) a) Calculate ) 0 ( f and (4) f using MATLAB f_at_0= subs (f,0) ans = 0.5714 b) Calculate ) ( x f using MATLAB subs (dfdx,x,x) ans = -2*x/(7+x^4)-4*(4-x^2)/(7+x^4)^2*x^3 c) Calculate ) 0 ( f and (4) f f using MATLAB dfdx_at_0= subs(dfdx,x,0) ans = 0 dfdx_at_4= subs(dfdx,x,4) ans = 0.0140 Problem 1:

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Suppose that the cell population is growing according to the equation 0.25 ( ) 90 t n t e = , where t is measured in hours and n is measured in number of cells. (a) Find the initial cell population, and the population after 4 hours. (Subsituting into f will give you number in population.
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Lab 6 - Lab 6 Problems Name_Ryan Corley Section_4 Example...

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