3) 3x 1 34. f() 33. f(x) = 5x x2 36. h(x) x +1 1 2 - X 35. f(x)x 3 1 2 S 38. g(x) x 37. g(s) = s x + 1 Xx 2 39. f(x)= (2r3 + 5x)(x - 3)(x + 2) 40. f(x) (3-x)(x2 2)(x2 +x - 1) Finding a Derivative of a Trigonometric Function In Exercises 41-56, find the derivative of the trigonometric function. In 1) cos e (0 42. f(0) 41. f(t) 12 sin t sin x cos t 44. f(x) 43. f(t) 11 t 45. f(x) = -x + tan x 46. y x + cot x 47. g(t) i+ 6 csc t 48. h(x) - 12 sec x X 3(1 sin x) sec x 49. у — 50. y 2 cos x X y =cscx - sin x 52. y x sin x + cos x 53. f(x) = x2 tan x 54. f(x) = sinx cos x 55. y 2x sinx + x cos x 56. h(0) = 50 sec 0 0 tan 0 the Finding a Derivative Using Technology In Exercises 57 and 58, use a computer algebra system to find the derivative In the of the function. plify 57. g(x) = x +: - 5) 58. f(x) coS x x + 2 1 sin x

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.