- 3.1: In 14, determine where each function is continuous. Investigate the...
- 3.2: In 14, determine where each function is continuous. Investigate the...
- 3.3: In 14, determine where each function is continuous. Investigate the...
- 3.4: In 14, determine where each function is continuous. Investigate the...
- 3.5: Sketch the graph of a function that is discontinuous from the left ...
- 3.6: Sketch the graph of a function f (x) that is continuous on [0, 2], ...
- 3.7: Sketch the graph of a continuous function on [0,) with f (0) = 0 an...
- 3.8: Sketch the graph of a continuous function on (,) with f (0) = 1, f ...
- 3.9: Show that the floor function f (x) = _x_ is continuous from the rig...
- 3.10: Suppose f (x) is continuous on the interval [1, 3]. If f (1) = 0 an...
- 3.11: Population Size Assume that the size of a population at time t is N...
- 3.12: Population Size Suppose that N(t) = 10 + 2e0.3t sin t, t 0 describe...
- 3.13: Physiology Suppose that an organism reacts to a stimulus only when ...
- 3.14: Tree Height The following function describes the height of a tree a...
- 3.15: PredatorPrey Model There are a number of mathematical models that d...
- 3.16: Community Respiration Duarte and Agust (1998) investigated the CO2 ...
- 3.17: Hyperbolic functions are used in the sciences. We take a look at th...
Solutions for Chapter 3: Review Problems
Full solutions for Calculus For Biology and Medicine (Calculus for Life Sciences Series) | 3rd Edition
A sequence of equal periodic payments.
Directrix of a parabola, ellipse, or hyperbola
A line used to determine the conic
A visible representation of a numerical or algebraic model.
Imaginary part of a complex number
See Complex number.
Irreducible quadratic over the reals
A quadratic polynomial with real coefficients that cannot be factored using real coefficients.
The notation dy/dx for the derivative of ƒ.
Length of a vector
See Magnitude of a vector.
Linear equation in x
An equation that can be written in the form ax + b = 0, where a and b are real numbers and a Z 0
A function viewed as a mapping of the elements of the domain onto the elements of the range
Midpoint (on a number line)
For the line segment with endpoints a and b, a + b2
Newton’s law of cooling
T1t2 = Tm + 1T0 - Tm2e-kt
A distribution of data shaped like the normal curve.
A set is ordered if it is possible to compare any two elements and say that one element is “less than” or “greater than” the other.
Parallelogram representation of vector addition
Geometric representation of vector addition using the parallelogram determined by the position vectors.
A function in which ƒ(x)is a polynomial in x, p. 158.
Product rule of logarithms
ogb 1RS2 = logb R + logb S, R > 0, S > 0,
Computer-generated numbers that can be used to approximate true randomness in scientific studies. Since they depend on iterative computer algorithms, they are not truly random
A variable (in statistics) that takes on numerical values for a characteristic being measured.
Removable discontinuity at x = a
lim x:a- ƒ(x) = limx:a+ ƒ(x) but either the common limit is not equal ƒ(a) to ƒ(a) or is not defined
A visualization of the relationships among events within a sample space.
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