Let f(t) be the balance in a savings account at the end of t years. Suppose that y = f(t) satisfies the differential equation y′ = .04y + 2000.(a) If after 1 year the balance is $10,000, is it increasing or decreasing at that time? At what rate is it increasing ordecreasing at that time?(b) Write the differential equation in the form y′ = k(y + M).(c) Describe this differential equation in words.
Let f(t) be the balance in a savings account at the end of t years. Suppose that y = f(t) satisfies the differential equation y′ = .04y + 2000.(a) If after 1 year the balance is $10,000, is it increasing or decreasing at that time? At what rate is it increasing ordecreasing at that time?(b) Write the differential equation in the form y′ = k(y + M).(c) Describe this differential equation in words.
Let f(t) be the balance in a savings account at the end of t years. Suppose that y = f(t) satisfies the differential equation y′ = .04y + 2000.(a) If after 1 year the balance is $10,000, is it increasing or decreasing at that time? At what rate is it increasing ordecreasing at that time?(b) Write the differential equation in the form y′ = k(y + M).(c) Describe this differential equation in words.
Let f(t) be the balance in a savings account at the end of t years. Suppose that y = f(t) satisfies the differential equation y′ = .04y + 2000. (a) If after 1 year the balance is $10,000, is it increasing or decreasing at that time? At what rate is it increasing or decreasing at that time? (b) Write the differential equation in the form y′ = k(y + M). (c) Describe this differential equation in words.
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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