A curve passes through a point P(0, 3) and has the property that slope of curve at every point P is twice the y-coordinate of point P. Use the concept of exponential growth function to find the equation of curve.

The equation of curve is .

Step-by-step explanation:

The exponential growth function is represented by the expression described below:

(1)

Where:

- Independent variable.

- Dependent variable.

- Initial value of .

- Base.

By deriving (1), we obtain an expression for the slope of the curve:

(2)

If we know that , and , then we have the following system of equations:

(3)

(4)

By (3) in (4):

Therefore, the equation of curve is .

a complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a solution of the equation x2 = −1. because no real number satisfies this equation, i is called an imaginary number. has no real solution, since the square of a real number cannot be negative.

answer: 590

step-by-step explanation: