A curve passes through the point (0, 5) and has the property that the slope of the curve at every point P is twice the y-coordinate of P. What is the equation of the curve? How long will it take an investment to double in value if the interest rate is 6% compounded continuously? What is the equivalent annual interest rate?
Show transcribed image textA curve passes through the point (0, 5) and has the property that the slope of the curve at every point P is twice the y-coordinate of P. What is the equation of the curve? How long will it take an investment to double in value if the interest rate is 6% compounded continuously? What is the equivalent annual interest rate?