Math 1617
Exam 3 Solutions
Problem 1 300 square inches of material is available to make a box with a square base and open top. Find the largest possible
volume of such a box.
If w denotes the width of a side of the base of this box and if h is its height
Math 1617
Exam 3 Solutions
Problem 1 300 square inches of material is available to make a box with a square base and open top. Find the largest possible
volume of such a box.
If w denotes the width of a side of the base of this box and if h is its height
Math 1617
Exam 2 Solutions
Find the linear approximation to the function f (x) = sin x at x = . Use it to nd an approximation for the value of
3
sin(1). If you dont have a calculator with you then use the approximation 3 = 1.7 in your computations. (Note
Math 1617
Exam 1 Solutions
The position s of an object, moving along a line, as a function of time t is given by the formula s(t) = t2 + 1. Find the
3
objects average velocity over the time interval 1 t .
2
s(3/2) s(1)
Solution : average velocity =
= 2 (3
Math 1617
Exam 1 Solutions
The position s of an object, moving along a line, as a function of time t is given by the formula s(t) = t2 + 1. Find the
3
objects average velocity over the time interval 1 t .
2
s(3/2) s(1)
Solution : average velocity =
= 2 (3
Math 1617
Exam 2 Solutions
Find the linear approximation to the function f (x) = sin x at x = . Use it to nd an approximation for the value of
3
sin(1). If you dont have a calculator with you then use the approximation 3 = 1.7 in your computations. (Note