A Curve Passes Through the Point $( 4,2 )$ And Has the Property That the Slope of the Curve

question 67

Short Answer

A curve passes through the point $( 4,2 )$ and has the property that the slope of the curve at every point $P$ is 3 times the y-coordinate $P$ . What is the equation of the curve?

---

Definitions:

Capital

Financial assets or the financial value of assets, such as cash and securities, or fixed assets like machinery and buildings, used in producing goods and services.

American Economy

The economic system of the United States characterized by a mixture of private and public enterprises, a high level of technological innovation, and a relatively high GDP per capita.

Largest

The term "largest" can denote the highest in size, amount, degree, or significance in a particular context, but without a specific subject, its meaning remains general.

Fastest Growing

Describes sectors, industries, or economies that are increasing in size or value at the most rapid pace.