Debra deposits $1100 into an account that earns interest at a rate of 3.75% compounded continuously. a) Write the differential equation that represents A(t), the value of Debra's account after t years. b) Find the particular solution of the differential equation from part (a). c) Find A(4) and A′(4). d) Find A′(4)A(4), and explain what this number represents.
Debra deposits $1100 into an account that earns interest at a rate of 3.75% compounded continuously. a) Write the differential equation that represents A(t), the value of Debra's account after t years. b) Find the particular solution of the differential equation from part (a). c) Find A(4) and A′(4). d) Find A′(4)A(4), and explain what this number represents.
Debra deposits $1100 into an account that earns interest at a rate of 3.75% compounded continuously. a) Write the differential equation that represents A(t), the value of Debra's account after t years. b) Find the particular solution of the differential equation from part (a). c) Find A(4) and A′(4). d) Find A′(4)A(4), and explain what this number represents.
Debra deposits $1100 into an account that earns interest at a rate of 3.75% compounded continuously.
a) Write the differential equation that represents A(t), the value of Debra's account after t years.
b) Find the particular solution of the differential equation from part (a).
c) Find A(4) and A′(4).
d) Find A′(4)A(4), and explain what this number represents.
a) The differential equation is dA/dt=
b) The particular solution is A(t)=.
c) The values for A(4) and A′(4) are A(4)=$ and A′(4)=$ per year.
(Round to two decimal places as needed.)
d)
A′(4)A(4)=enter your response here
(Round to four decimal places as needed.)
What does this number represent?
With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.
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