- 8.4.1: The marginal cost function C9sxd was defined to be the derivative o...
- 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 x t...
- 8.4.4: The demand function for a particular vacation package is psxd 2000 ...
- 8.4.5: A demand curve is given by p 450ysx 1 8d. Find the consumer surplus...
- 8.4.6: The supply function pSsxd for a commodity gives the relation betwee...
- 8.4.7: If a supply curve is modeled by the equation p 125 1 0.002x 2 , fin...
- 8.4.8: In a purely competitive market, the price of a good is naturally dr...
- 8.4.9: The sum of consumer surplus and producer surplus is called the tota...
- 8.4.10: A camera company estimates that the demand function for its new dig...
- 8.4.11: A company modeled the demand curve for its product (in dollars) by ...
- 8.4.12: A movie theater has been charging $10.00 per person and selling abo...
- 8.4.13: If the amount of capital that a company has at time t is fstd, then...
- 8.4.14: If revenue flows into a company at a rate of fstd 9000s1 1 2t , whe...
- 8.4.15: If income is continuously collected at a rate of fstd dollars per y...
- 8.4.16: The present value of an income stream is the amount that would need...
- 8.4.17: Paretos Law of Income states that the number of people with incomes...
- 8.4.18: A hot, wet summer is causing a mosquito population explosion in a l...
- 8.4.19: High blood pressure results from constriction of the arteries. To m...
- 8.4.20: High blood pressure results from constriction of the arteries. To m...
- 8.4.21: The dye dilution method is used to measure cardiac output with 6 mg...
- 8.4.22: After a 5.5-mg injection of dye, the readings of dye concentration,...
- 8.4.23: The graph of the concentration function cstd is shown after a 7-mg ...
Solutions for Chapter 8.4: Applications to Economics and Biology
Full solutions for Single Variable Calculus: Early Transcendentals | 8th Edition
A value ƒ(c) is an absolute maximum value of ƒ if ƒ(c) ? ƒ(x) for all x in the domain of ƒ.
A value ƒ(c) is an absolute minimum value of ƒ if ƒ(c) ? ƒ(x)for all x in the domain of ƒ.
The two separate curves that make up a hyperbola
Component form of a vector
If a vector’s representative in standard position has a terminal point (a,b) (or (a, b, c)) , then (a,b) (or (a, b, c)) is the component form of the vector, and a and b are the horizontal and vertical components of the vector (or a, b, and c are the x-, y-, and z-components of the vector, respectively)
A letter or symbol that stands for a specific number,
Continuous at x = a
lim x:a x a ƒ(x) = ƒ(a)
A ratio equal to 1, used for unit conversion
An event whose probability depends on another event already occurring
The left side of u(v + w) = uv + uw.
Sum of a finite number of terms.
Higher-degree polynomial function
A polynomial function whose degree is ? 3
Intermediate Value Theorem
If ƒ is a polynomial function and a < b , then ƒ assumes every value between ƒ(a) and ƒ(b).
Inverse reflection principle
If the graph of a relation is reflected across the line y = x , the graph of the inverse relation results.
Irreducible quadratic over the reals
A quadratic polynomial with real coefficients that cannot be factored using real coefficients.
The closest point to the Sun in a planet’s orbit.
See Circle graph.
Present value of an annuity T
he net amount of your money put into an annuity.
Range of a function
The set of all output values corresponding to elements in the domain.
Real part of a complex number
See Complex number.
Union of two sets A and B
The set of all elements that belong to A or B or both.