Chapter 1.2, Problem 60E

The number of unread emails in Bryan’s account is 100. This number grows by 15 unread emails a day. The function N(t)=100+15t represents the relation between the number of emails, N, and the time, t, measured in days. (a) Determine the independent and dependent variable. (b) Find N(7) . Explain what this result means.

Find the domain of f(x)=2x3x2x2.

Cliff divers The height s, in feet, of a cliff diver is a function of the time t in seconds he has been falling. If s as a function of t can be expressed as st=-16t2+10t+300, what is the height of the diver at 3 seconds?

The circumference C of a circle is a function of its radius given by C(r)=2r. Express the radius of a circle as a function of its circumference. Call this function r(C) , Find r(36) and interpret its meaning,

The height h of a projectile is a function of the time t it is in die air. The height in feet for t seconds is given by the function h(t)=-16t2+96t . What is the domain of die function? What does the domain mean in the context of die problem?

The number of unread emails in Anthony’s account is 110. This number grows by 25 unread emails a day. The function N(t)=110+25t represents the relation between the number of emails, N, and the time, t, measured in days. (a) Determine the independent and dependent variable. (b) Find N(14) . Explain what this result means.

Suppose the range of a function fis [5,8] . What is the range of |f(x)| ?

Use technology to find the maximum and minimum values on the interval [1,4] of the function f(x)=0.2(x2)3(x+1)2(x4).