- 8.4.1: The marginal cost function was defined to be the derivative of the ...
- 8.4.2: A company estimates that the marginal revenue ( in dollars per unit...
- 8.4.3: A mining company estimates that the marginal cost of extracting ton...
- 8.4.4: The demand function for a certain commodity is . Find the consumer ...
- 8.4.5: A demand curve is given by . Find the con sumer surplus when the se...
- 8.4.6: The supply function for a commodity gives the relation between the ...
- 8.4.7: If a supply curve is modeled by the equation , find the producer su...
- 8.4.8: For a given commodity and pure competition, the number of units pro...
- 8.4.9: A company modeled the demand curve for its product ( in dollars) by...
- 8.4.10: A movie theater has been charging $10.00 per person and selling abo...
- 8.4.11: If the amount of capital that a company has at time is , then the d...
- 8.4.12: If revenue flows into a company at a rate of , where is measured in...
- 8.4.13: Paretos Law of Income states that the number of people with incomes...
- 8.4.14: A hot, wet summer is causing a mosquito population explosion in a l...
- 8.4.15: Use Poiseuilles Law to calculate the rate of flow in a small human ...
- 8.4.16: High blood pressure results from constriction of the arteries. To m...
- 8.4.17: The dye dilution method is used to measure cardiac output with 6 mg...
- 8.4.18: After a 5.5-mg injection of dye, the readings of dye concen tra tio...
- 8.4.19: The graph of the concentration function is shown after a 7-mg injec...
Solutions for Chapter 8.4: Applications to Economics and Biology
Full solutions for Calculus: Early Transcendentals | 7th Edition
See Inverse secant function.
See Inverse tangent function.
a + b = b + a ab = ba
Constant function (on an interval)
ƒ(x 1) = ƒ(x 2) x for any x1 and x2 (in the interval)
See Cartesian coordinate system.
An identity involving a trigonometric function of u - v
Direction of an arrow
The angle the arrow makes with the positive x-axis
Graph of a polar equation
The set of all points in the polar coordinate system corresponding to the ordered pairs (r,?) that are solutions of the polar equation.
Identity involving a trigonometric function of u/2.
A function viewed as a mapping of the elements of the domain onto the elements of the range
A boxplot with the outliers removed.
A set of n objects.
Natural logarithmic function
The inverse of the exponential function y = ex, denoted by y = ln x.
One-to-one rule of exponents
x = y if and only if bx = by.
Function of the form ƒ(x)/g(x) where ƒ(x) and g(x) are polynomials and g(x) is not the zero polynomial.
Reflection through the origin
x, y and (-x,-y) are reflections of each other through the origin.
The function y = sin x.
Solution set of an inequality
The set of all solutions of an inequality
A set of equations or inequalities.
x = a.