The solution of a certain differential equation is of the form y(t)=aexp(7t)+bexp(11t), where a and b are constants. the solution has initial conditions y(0)=1 and y′(0)=4. find the solution by using the initial conditions to get linear equations for a and b.

The number of members f(x) in a local swimming club increased by 30% every year over a period of x years. the function below shows the relationship between f(x) and x: f(x) = 10(1.3)xwhich of the following graphs best represents the function? graph of f of x equals 1.3 multiplied by 10 to the power of x graph of exponential function going up from left to right in quadrant 1 through the point 0, 0 and continuing towards infinity graph of f of x equals 10 multiplied by 1.3 to the power of x graph of f of x equals 1.3 to the power of x