Important information about calculus questions
Not what you're looking for?
Please choose the correct answer and show the process:
1. Find the equation of the tangent line to y = 2 ln x at the point where x = 8.
y = x/2 - 1 + ln 2
y = x/2 - 1 + 2 ln 2
y = x/4 - 1 + ln 2
y = x/4 - 2 + 6 ln 2
y = x/8 - 1 + ln 2
y = x/8 - 1 + 2 ln 2
y = x/8 - 1 + 3 ln 2
none of these
10. Acme estimates marginal revenue on a product to be 200q-1/3 dollars per unit when the level of production is q units. The corresponding marginal cost is 2q dollars per unit. Suppose the profit is $250 when the level of production is 1 unit. What is Acme's profit when 8 units are produced?
(Note: P'(t) = R'(t) - C'(t) and P(0) = 0)
$937
$987
$1037
$1087
$1137
$1187
$1237
none of these
20. True or False: x^14/14 + sqrt (13) + e^x is an antiderivative of x^13 + e^x
True
False
See attached file for full problem description.
Purchase this Solution
Solution Summary
The problem set consists of answers to three questions about tangent lines and integration.
Solution Preview
Please choose the correct answer and show the process:
1. Find the equation of the tangent line to y = 2 ln x at the point where x = 8.
y = x/2 - 1 + ln 2
y = x/2 - 1 + 2 ln 2
y = x/4 - 1 + ln 2
y = x/4 - 2 + 6 ln 2
y = x/8 - 1 + ln 2
y = x/8 - 1 + 2 ln 2
y = x/8 - 1 + 3 ln 2
none of these
Remember that a line has the form y = mx + b. The slope of the tangent line will ...
Purchase this Solution
Free BrainMass Quizzes
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.