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Across 5. The unique solution of a differentiable equation satisfying the given initial condition (or conditions). (2 Words) 9. For the equation dy/dx = f(x, y) is a plot of short line segments with slopes f(x, y) at a lattice of points (x, y) in the plane. (2 Words) 10. When a small change in x produces a large change in the value of a function, f(x), we say that the function is relatively ___________. 11. The derivative of an acceleration function with respect to time. 12. A set that consists of all the points in a plane equidistant from a given fixed point, and a given fixed line in the plane. 14. An approximation of the derivative of a function using a numerical algorithm. (2 Words) 16. If y = f(x), then y' and f'(x) both denote the first derivative of the function with respect to x. (2 Words) 17. A series in which the terms alternate between + and - is an? (2 Words) 19. An equation involving two or more variables that are differentiable function of time that can be used to find an equation relative to the corresponding rates. (3 Words) 21. A point where the graph of a function has a tangent line, and the concavity changes. (3 Words) 26. In polar coordinates the positive x-axis is the? (2 Words) 28. Equivalent to v/abs(v), and the Direction Of Motion. (2 Words) 29. A function f for which f(-x) = f(x) for every x in the domain of f. (2 Words) 30. The circle of radius 1 centred at the origin. (2 Words) 31. A ____ is where the slopes of the secant lines approach infinity from one side, and - infinity from the other, (An extreme case of a corner). 34. The McLaurin Series for f(x) = (1+x)^m. (2 Words) 37. = (LRAM + RRAM)/2 (abbr.) 38. If a function f is not continuous at a point c, we say that f is ______ at c. 40. (u*v) = u'*v + v'*u (2 Words) 41. A Taylor Series centred at x = 0. (2 Words) 42. The formula F = kx; where k is the Force Constant. (2 Words)

Down 1. A discontinuity c of the function f for which f(c) can be re-defined so that limit as x-->c f(x) = f(c). (2 Words) 2. The line about which a solid of revolution is generated. (3 Words) 3. A time-saving way to organize work of repeated integrations by parts is known as __________. (2 Words) 4. A sequence whose domain is an infinite subset for the positive integers. (2 Words) 6. Displacement divided by time traveled. (2 Words) 7. Instantaneous rate of change of position with respect to time. (2 Words) 8. The rate of change of position with respect to time. 13. The vector <0, 0>, which has zero length and no direction. (2 Words) 15. In polar coordinates, we identify the origin, 0, as a? 18. A Function f for which there is a positive number p, such that f(x+p) = f(x), for every value to x. (2 Words) 20. The derivative of a velocity function with respect to time. 22. A Complex Number in the form 0 + bi. (2 Words) 23. Of a number, its absolute value; of a vector, it length. 24. The _________ of two positive numbers a and b is sqrt(a*b). (2 Words) 25. The set of points in a plane whose distances from two fixed points in the plane have a constant difference. 27. The error incurred in using a finite partial sum to estimate the sum of an infinite series. (2 Words) 32. A function f for which f(-x) = -f(x) for every x in the domain of f. (2 Words) 33. The set of points in a plane whose distances from two fixed points in the plane have a constant sum. 35. Equivalent to ln2/k, where rate constant k is > 0 for a radioactive substance. (2 Words) 36. The absolute value (or magnitude) of velocity. 39. The definite integral of force times the distance over which the force is applied.