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Question 64 Making a Function Continuous In Exercises 61-66, find the constant a such that the...
Find the constant a such that the function is continuous on the entire real line. f(x) = [ 5x2, x 21 ax - 5, x < 1 a =
i need help with number 55 . I keep coming up with the wrong
answer. this would be helpful to me. Thank you
49. (3x+ (2x2) 50. (x - 1)1/3(x - 1)-1/4 P.3 In Exercises 51-54, write the polynomial in standard form. Identify the degree and leading coefficient. 51. 3 - 11x2 53. - 4 - 12.x2 52. 3x3 - 5/5 + - 4 54. 12x - 7x2 + 6 sin In Exercises 55-58, perform the operation and write the...
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Using the Factor Theorem In Exercise use synthetic division to show that x is a soluti third-degree polynomial equation, and use the factor the polynomial completely. List all real of the equation. 59. x3 – 7x + 6 = 0, x = 2 60. x3 – 28x – 48 = 0, x = -4 61. 2x3 – 15x2 + 27x – 10 = 0, x = 62. 48x3 – 80x2 + 41x – 6 = 0, x =...
#45, 59, 63
In Exercises 35-44, use logarithms to solve the equation for t. 35. 0.41 = 8 36.-31 = 0.9 37. 5e-21 = 6 39. 2e -0.21 – 4 = 6 38. 4e-1 = 4 40. 12 – 20.41 = 3 50 200 42. 1 +420.21 = 20 1 + 3e-0.31 = 100 43. A = Be-1/2 1 + Bet/2 - C 45. A function f has the form f(x) = a + b In x. Find fif it...
32 , 42
332 CHAPTER 4 Polynomial Functions and Rational Functions 56.7x2 + 4x In Exercises 5 g(x) 57. What are 58. What is th 59. Given an inputs. 60. Movie Tic movie tic years, risi (Source: ers). Usin function, Let xrерr Then use price of a Using synthetic division, determine whether the numbers are zeros of the polynomial function. 31. -3,2; f(x) = 3x + 5x2 - 6x + 18 (32. -4,2; f(x) = 3x + 11x? - 2x...
(a)The continuous random variable X is distributed with probability density function f defined by f(x) = (1/64)x * (16 - x^2) , for 0 < x < 4. . Find [V (2x+1)] . (b) -An urn contains 7 white balls and 3 black balls. Two balls are selected at random without replacement. What is the probability that: 1-The first ball is black and the second ball is white. 2-One ball is white and the other is black ( C)- Suppose...
71
60. 321z+ 61.-2x3 + 5x2-3x+9=0 62. _x3 + 8x-12-0 Use the rational zero theorem, Descartes's rule of signs, and the theorem on bounds as aids in finding all real and imaginary root 0 to each equation. 一63. x3-4x2-7x+10=0 一64. x3 + 9x2 + 26x + 24 = 0 -65. r3-10x-3=0 66. 2x3-7x2 160 一68. x4-4x3 + 7x2-16x + 12 = 0 69, 6' + 25x2-24x + 5 = 0 70·6x3-11x2-46x-24 0 --71. x4 + 2x3-3x2-4x+4-0 72, x5 + 3x3...
Sketch a non-constant function that is continuous on (-00,00) and has the following properties. Use a number line to summarize information about the function. f(-6)=f(-2)=f'(-6)=f(-4)= f'(-2) = 0; f(x)20 on (-00,00) Which of the following graphs matches the description of the given properties? OA. OB. OC. 1 SO 13 501 50. 2 50- Which number line summarizes the information about the non-constant function? The function is decreasing in red and the function is increasing on blue. f'>0 p <0 '>0...
only the ones highlighted and please show all steps.
Finding Area by the Limit Definition In Exercises 47–56, use the limit process to find the area of the region bounded by the graph of the function and the x-axis over the given interval. Sketch the region. 47. y = - 4x + 5, [0, 1] 48. y = 3x - 2. [2,5] 49. y = x2 + 2, [0, 1] 50. y = 5x + 1, [0, 2] 51. y...
Question 2 Find the indicated function value. Find f(-4) when f (x) 2² +4 23 62 O-2/7 0-5/16 0 - 1/2 O-2/5 Question 3 BILI SUULILULUI NV, O Question 5 3 pts Find the indicated function value: f(3) = 5 - 8a, g(x) = -3x + 8. Find (f + 9) (x) - 3x + 5 - 5x + 13 0 - 11x + 13 2x Question 6 3 pts Find the composition of functions: f(x) 70? + 4x, g(x)...