- 8.3.1: Using the contour diagram for f(x, y) in Figure 8.36, decide whethe...
- 8.3.2: According to the contour diagram for f(x, y) in Figure 8.36, which ...
- 8.3.3: Estimate I/H and I/T for typical weather conditions in Tucson in su...
- 8.3.4: Answer the question in for Boston in summer (H = 50, T = 80).
- 8.3.5: The demand for coffee, Q, in pounds sold per week, is a function of...
- 8.3.6: A drug is injected into a patients blood vessel. The function c = f...
- 8.3.7: The quantity Q (in pounds) of beef that a certain community buys du...
- 8.3.8: Table 8.6 gives the number of calories burned per minute, B = f(s,w...
- 8.3.9: Estimate zx(1, 0) and zx(0, 1) and zy(0, 1) from the contour diagra...
- 8.3.10: The monthly mortgage payment in dollars, P, for a house is a functi...
- 8.3.11: The sales of a product, S = f(p, a), are a function of the price, p...
- 8.3.12: Figure 8.13 on page 360 gives a contour diagram of corn production ...
- 8.3.13: Figure 8.38 shows a contour diagram for the monthly payment P as a ...
- 8.3.14: Use the diagram from in Section 8.1, to estimate HT (T,w) for T = 1...
- 8.3.15: People commuting to a city can choose to go either by bus or by tra...
- 8.3.16: Suppose that x is the price of one brand of gasoline and y is the p...
- 8.3.17: An airlines revenue, R, is a function of the number of full-price t...
- 8.3.18: In the revenue is $150,000 when 200 fullprice tickets and 400 disco...
- 8.3.19: For a function f(x, y), we are given f(100, 20) = 2750, and fx(100,...
- 8.3.20: For a function f(r, s), we are given f(50, 100) = 5.67, and fr(50, ...
- 8.3.21: Table 8.5 on page 370 gives the percent of rats surviving, P, as a ...
- 8.3.22: The cardiac output, represented by c, is the volume of blood flowin...
- 8.3.23: In each case, give a possible contour diagram for the function f(x,...
- 8.3.24: Figure 8.39 shows contours of f(x, y) with values of f on the conto...
- 8.3.25: Figure 8.40 shows a contour diagram of Dans happiness with snacks o...
Solutions for Chapter 8.3: PARTIAL DERIVATIVES
Full solutions for Applied Calculus | 5th Edition
See Mathematical induction.
The factor Ae-a in an equation such as y = Ae-at cos bt
Distance (in Cartesian space)
The distance d(P, Q) between and P(x, y, z) and Q(x, y, z) or d(P, Q) ((x ) - x 2)2 + (y1 - y2)2 + (z 1 - z 2)2
A blind experiment in which the researcher gathering data from the subjects is not told which subjects have received which treatment
A point where the supply curve and demand curve intersect. The corresponding price is the equilibrium price.
Inverse reflection principle
If the graph of a relation is reflected across the line y = x , the graph of the inverse relation results.
Real numbers that are not rational, p. 2.
Line of symmetry
A line over which a graph is the mirror image of itself
Linear regression equation
Equation of a linear regression line
Mean (of a set of data)
The sum of all the data divided by the total number of items
Multiplication principle of probability
If A and B are independent events, then P(A and B) = P(A) # P(B). If Adepends on B, then P(A and B) = P(A|B) # P(B)
Order of magnitude (of n)
Two vectors u and v with u x v = 0.
Principle of mathematical induction
A principle related to mathematical induction.
The principle of experimental design that makes it possible to use the laws of probability when making inferences.
The portion of the domain applicable to the situation being modeled.
Root of a number
See Principal nth root.
Sum of an infinite series
See Convergence of a series
Unit vector in the direction of a vector
A unit vector that has the same direction as the given vector.