Webmatematik - Forum

JensSkakN skrev:Jeg tager de 3 sidste linjer
\(C(\,t)\,={{\frac{{F}\cdot{A_0}}{V}}\cdot{\frac{k_a}{k_a-k}}}\cdot{(\,exp(\,-{k}\cdot{t_{max}})\,-{\frac{k}{k_a}}\cdot{exp(\,-{k}\cdot{t_{max}})\,}})\,\)
\(={{\frac{{F}\cdot{A_0}}{V}}\cdot{\frac{k_a}{k_a-k}}}\cdot{{exp(\,-{k}\cdot{t_{max}})\,}}\cdot{(\,1-\frac{k}{k_a})\,}\)
\(={{\frac{{F}\cdot{A_0}}{V}}\cdot{\frac{k_a}{k_a-k}}}\cdot{{exp(\,-{k}\cdot{t_{max}})\,}}\cdot{(\,\frac{k_a-k}{k_a})\,}\)
\(={\frac{{F}\cdot{A_0}}{V}}\cdot{exp(\,-{k}\cdot{t_{max}})\,}\)