Review problems for Final Exam
Mathematics 1300, Calculus 1 Solutions
1. For each part, find dy/dx.
3x3 + 2x2
x
dy
Answer: dx
=
(a) y =
(b) y = xe2x
Answer:
dy
dx
15 3/2
x
2
+ 3x1/2
= (2x + 1)e2x
(c) y = 12 sin (2x)
Answer:
dy
dx
2
= cos (2x)
(d) xy = x2
Test One
Section 1.1Statistics & Sampling
Individuals: the people or items included in the statistics; variables: characteristics to be measured or
observed
Qualitative: characteristics (someones eye color); Quantitative: values (numerical, like measurin
One can tell if a value is a solution for an inequality when the statements are true because the statement is greater than, less than or equal to the value. For example, x + 1 > 4, changing the greater than symbol to an equal sign then x becomes 3. This i