draw the solution curve P(t) that satisfies the initial condition P(0)=75

The population P (in millions) of Texas from 2001 through 2014 can be approximated by the model P=20.913e0.0184t, where t represents the year, with t=1 corresponding to 2001. According to this model, when will the population reach 32 million?

2. A ball is thrown vertically upward so that its velocity at time t is v(t) meters per second. After 1 second, the ball is at a height of 114.5 meters. = (d) What is the maximum height reached by the ball? [Find when ] -9.8t + 19.6 (a) Find s(t), the position of the ball at time t. [Make sure to find the value for for C so that your final expression for s(t) only involves t. (b) What is the initial height of the ball? [Find when ] (c) When does the ball reach its maximum height? [Find when []

Determine the maximum or minimum value for y = −2(x − 7)(x − 5) and state the value of x for which this occurs.