- How do I relate Mathematics/Statistics as a problem solving subject to Technology Transfer?

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Can someone help me with this Multivariable calculus problem? Could an outer solar system object cause an eclipse? What will happen to Earth if human population suddenly increases by 1000x, how about decreases by 1000x? Thanks.? Calculus help evaluate integral c x^(2)+y^(2)ds where c is parametrized by c(t)= <3t-2, t+1> -1 If you add a solution of CH3COOH to NaOH why is the initial moles of CH3COO- 0? Isn't there equilibrium within the CH3COOH solution?