Solve the problem.
-The rate of growth of profit (in millions) from an invention is approximated by $P^{\prime}(x)=x e^{-x^{2}}$, where $x$ represents time in years. The total profit in year 1 that the invention is in operation is $\$$ 45,000 . Find the total profit function $\mathrm{P}(\mathrm{x})$.
A) $P(x)=-\frac{1}{2} e^{-x^{2}}-229,000$
B) $P(x)=-.5 e^{-x^{2}}+0.229$
C) $P(x)=-.5 e^{-x^{2}}+229,000$
D) $P(x)=-\frac{1}{2} e^{-x^{2}}-0.229$

Question

Quizplus · Accepted Answer

The Answer of Solve the problem.
-The rate of growth of profit (in millions) from an invention is approximated by $P^{\prime}(x)=x e^{-x^{2}}$, where $x$ represents time in years. The total profit in year 1 that the invention is in operation is $\$$ 45,000 . Find the total profit function $\mathrm{P}(\mathrm{x})$.
A) $P(x)=-\frac{1}{2} e^{-x^{2}}-229,000$
B) $P(x)=-.5 e^{-x^{2}}+0.229$
C) $P(x)=-.5 e^{-x^{2}}+229,000$
D) $P(x)=-\frac{1}{2} e^{-x^{2}}-0.229$

Solve the Problem P′(x)=xe−x2P^{\prime}(x)=x e^{-x^{2}}P′(x)=xe−x2 , Where xxx Represents Time in Years $\$$

Solve the Problem $P^{\prime}(x)=x e^{-x^{2}}$ , Where $x$ Represents Time in Years $\$$