Answer the following questions for the function f(x)=(x^3-9x^2+27x-27)/(x^2-6x+8) defined on the interval [-14, 22]. Enter points, such as inflection points in ascending order. A. The function f(x) has vertical asymptotes at _______ and ________. B. f(x) is concave down on

105,771 results
  1. Calculus (pleas help!)

    Find the slope of the tangent line to the ellipse x^2/36 + y^2/49 =1 at the point (x,y). slope =_______ Are there any points where the slope is not defined? (Enter them as comma-separated ordered-pairs, e.g., (1,3), (-2,5). Enter none if there are no such

  2. Calculus 1

    Consider the following. B(x) = 3x^(2/3) − x (a) Find the interval of increase.(Enter your answer using interval notation.) Find the interval of decrease. (Enter your answer using interval notation.) (b) Find the local maximum value(s).(Enter your answers

  3. AP Calculous

    let f be the function defined by f(x)=3X^5 -5X^3 +2 a) on what interval is f increasing? b) on what interval is the graph of f concave upward? c)Write the equation of each horizontal line tangent to the graph of f

  4. AP Calculus

    A particle is moving along a horizontal straight line. The graph of the position function (the distance to the right of a fixed point as a function of time) is shown below. Answer the following questions only on the interval (0,8). 1. When is the particle

  5. Math

    A 100 point test contains a total of 20 questions. The multiple choice questions are worth 3 points each and the short response answer questions are worth 8 pints each. Write a system of linear equations that represents this situation, my answer is to

  6. Calculus

    18) Find all numbers c that satisfy the conclusion of the Mean Value Theorem for the following function and interval. Enter the values in increasing order and enter N in any blanks you don't need to use. f(x)=2x/6x+12,[1,4]

  7. Calculus

    1. Locate the absolute extrema of the function f(x)=cos(pi*x) on the closed interval [0,1/2]. 2. Determine whether Rolle's Theorem applied to the function f(x)=x^2+6x+8 on the closed interval[-4,-2]. If Rolle's Theorem can be applied, find all values of c

  8. Calculus Please Help

    A continuous function f, defined for all x, has the following properties: 1. f is increasing 2. f is concave down 3. f(13)=3 4. f'(13)=1/4 Sketch a possible graph for f, and use it to answer the following questions about f. A. For each of the following

  9. Calculus, math

    Consider the function below. (If an answer does not exist, enter DNE.) f(x) = e^arctan(7x) I did the problem but I have mistakes on some items. I think the ff. are right: Vertical Asymptote: x = DNE Horizontal Asymptote: y = e^-(pi/2), e^(pi/2) Interval

  10. Calculus Help

    The formula C =5/9(F − 32), where F ≥ −459.67, expresses the Celsius temperature C as a function of the Fahrenheit temperature F. Find a formula for the inverse function. What is the domain of the inverse function? (Enter your answer using interval

  11. Calc 1

    Consider the following function. f(x) = x^6 ln x (a) Use l'Hospital's Rule to determine the limit as x → 0+. (b) Use calculus to find the minimum value. Find the interval where the function is concave up. (Enter your answer in interval notation.) Find

  12. math

    Answer the following questions for the function f(x)=sin^2(x/5) defined on the interval .(-15.507923,3.82699075) Rememer that you can enter "pi" for as part of your answer. a.what is f(x) concave down on the region B. A global minimum for this function

  13. Calculus

    Let f be a twice-differentiable function defined on the interval -1.2 less than or equal to x less than or equal to 3.2 with f(1)=2. The graph of f', the derivative of f, is shown on the right. The graph of f' crosses the x-axis at x=-1 and x=3 and has a

  14. calculus

    A function f is defined on the interval [0,4], and its derivative is e^sinx-2cos3x a. on what interval is f increasing? b. at what value(s) of x does f have a local maxima? c. how many points of inflection does f have? *calculator is allowed for this

  15. Calc 1

    Consider the function below. f(x) = (x^2)/(x−9)^2 (a) Find the vertical and horizontal asymptotes. x=? y=? (b) Find the interval where the function is increasing. (Enter your answer using interval notation.) Find the interval where the function is

  16. calculus

    3. Given the function defined by y = x + sinx for all x such that -π/2

  17. Math

    Determine the intervals over which the function is increasing, decreasing, or constant. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) f(x) = 4x + 2, x ≤ −2 x^2 − 10, x > −2

  18. Calculus

    Answer the following questions for the function f(x) = sin^2(x/3) defined on the interval [ -9.424778, 2.356194]. Rememer that you can enter pi for \pi as part of your answer. f(x) is concave down on the interval ? Please help, im REALLY stuck.

  19. Calculus (increasing/decreasing)

    Find the interval(s) where the function is increasing and the interval(s) where it is decreasing. (Enter your answers using interval notation. If the answer cannot be expressed as an interval, enter EMPTY or ∅.) f(x) = (5 − x^2) / x my work: a)

  20. Math

    Define the inverse cotangent function by restricting the domain of the cotangent function to the interval (0, π). Evaluate the expression without using a calculator. (Enter your answer in radians.) arccot(− √3)

  21. Calculus Please Help

    A continuous function f, defined for all x, has the following properties: 1. f is increasing 2. f is concave down 3. f(13)=3 4. f'(13)=1/4 Sketch a possible graph for f, and use it to answer the following questions about f. A. For each of the following

  22. Calculus

    Consider the function f(x) = 5/4x^4 + 2/3x^3 - 5x^2 - 4x + 5 a. Find any relative extrema for f(x); be sure to label each as a maximum or minimum. You do not need to find function values; just find the x-values. b. Determine the interval(s) where f(x) is

  23. Calculus

    Consider the function f(x)=3cosx−cos^(3)x for 0

  24. math

    The following set of points belong to a specific function: {(-3,0)(-2,4), (-1,0), (0,-6),(1,-8), (2,0),(3,24)} Based on the set of points answer the following questions: a) What type of function does it produce? Justify your answer. b) Write an equation

  25. Calculus

    Answer the following questions for the function f(x) = sin^2(x/3) defined on the interval [ -9.424778, 2.356194]. Rememer that you can enter pi for \pi as part of your answer. a.) f(x) is concave down on the interval . b.) A global minimum for this

  26. math

    1) For the function 𝑦(𝑥) = 𝑥^3 − 3𝑥^2 − 9𝑥 + 5 a) Find the critical points. b) Determine if the critical points are maximum or minimum. c) Determine the interval where the given function is increasing and/or decreasing. d) Find any

  27. calculus

    Use a graphing utility to graph the function and find the absolute extrema of the function on the given interval. (Round your answers to three decimal places. If an answer does not exist, enter DNE.) f(x) = x^4 − 2x^3 + x + 1, [−1,3] minima (x, y) =

  28. Calculus

    Answer the following questions for the function f(x) = sin^2(x/3) defined on the interval [ -9.424778, 2.356194]. Rememer that you can enter pi for \pi as part of your answer. a.) f(x) is concave down on the interval . I'm really stuck on this one

  29. Math - PreCalc (12th Grade)

    The function f(x) = 2x + 1 is defined over the interval [2, 5]. If the interval is divided into n equal parts, what is the value of the function at the right endpoint of the kth rectangle? A) 2+3k/n B) 4+3k/n C) 4+6k/n D) 5+6k/n E) 5+3k/n

  30. algebra

    There are 50 questions to answer in a triva contest. Each player starts with 100 points. He or she earns ten points for each correct answer but will lose four points for each incorrect answer. Each player must answer all 50 questions. What is the fewest

  31. math

    Find the domain of the given function f. (Enter your answer using interval notation.) f(x) = 1/(x2 − 8x + 16)

  32. Math

    A quadratic function is defined by f(x)=-3.7x^2+6.8x+4.2. A linear function is defined by g(x)=-0.5x+k. Determine the value of k so that the line intersects the parabola at exactly one point. Write your answer to the nearest hundredth

  33. Calculus 1

    Consider the function below. f(x)= (x^2)/((x-4)^2) Find the interval where the function is concave up. (Enter your answer using interval notation.) Find the intervals where the function is concave down. (Enter your answers using interval notation.) For

  34. CAlculus

    The graph of the derivative, f '(x), is given. Determine the x-coordinates of all points of inflection of f(x), if any. (Assume that f(x) is defined and continuous everywhere in [-3, 3]. If there are more answer blanks than inflection points, enter NONE in

  35. Pre-Cal: Word Problem

    I'm having a lot of trouble on this word problem. Can someone help me plz? To define the inverse sine function, we restrict the domain of sine to the interval ______. On this interval the sine function is one-to-one, and its inverse function sin^−1 is

  36. Algebra word problem

    There are 50 questions to answer in a triva contest. Each player starts with 100 points. He or she earns ten points for each correct answer but will lose four points for each incorrect answer. Each player must answer all 50 questions. What is the fewest

  37. Calculus

    Answer the following questions for the function f(x)=(x^3-9x^2+27x-27)/(x^2-6x+8) defined on the interval [-14, 22]. Enter points, such as inflection points in ascending order. A. The function f(x) has vertical asymptotes at _______ and ________. B. f(x)

  38. Math: Calculus

    Answer the following questions for the function f(x) = \frac{ x^3 }{ x^2 - 36 } defined on the interval [ -20, 16 ]. A. The function f(x) has vertical asympototes at____ and___ B. f(x) is concave up on the region___ to and____ to___ C. The inflection point

  39. Calculus

    (1 point) The function f(x)=4x3+24x2−252x+1 is decreasing on the interval ________________ Enter your answer using the interval notation for open intervals. It is increasing on the interval(s) __________________ The function has a local maximum at

  40. Math

    For x [–14,13] the function f is defined by f(x)=(x^3)(x+6)^4 On which two intervals is the function increasing (enter intervals in ascending order)? I got increasing intervals between [-14, -6], but can't find the other increasing interval. I believe it

  41. Calculus

    The function defined below satisfies Rolle's Theorem on the given interval. Find the value of c in the interval (-3, -2) where f'(c)=0. f(x) = x + 6x-1 , [-3, -2] Round your answer to two decimal places.

  42. calc

    Suppose the derivative of a function f is f '(x) = (x + 2)^4(x − 3)^7(x − 4)^6. On what interval is f increasing? (Enter your answer in interval notation.)

  43. Calculus

    Find each of the following functions. f(x) = x2 − 3, g(x) = 5x + 2 (a) f compose g State the domain of the function. (Enter your answer using interval notation.) (b) g compose f State the domain of the function. (Enter your answer using interval

  44. Calculus

    Can someone help me finish this question... I got most of the answers but need help. Suppose that f(x)=3x−6x+5. (A) Use interval notation to indicate where f(x) is defined. If it is defined on more than one interval, enter the union of all intervals

  45. Calculus (urgent!!)

    Please answer the following questions about the function f(x)=e^(-0.5x^2) Instructions: If you are asked to find x- or y-values, enter either a number, a list of numbers separated by commas, or None if there aren't any solutions. Use interval notation if

  46. calculus

    6) The function f(x)=4x3−18x2−480x−2 is decreasing on the interval ? Enter your answer using the interval notation for open intervals. It is increasing on the interval(s) ? The function has a local maximum at ?

  47. calculus

    f(x)= x^3/x^2-16 defined on the interval [-19,16]. Enter points, such as inflection points in ascending order, i.e. smallest x values first. Enter intervals in ascending order also. What are F(x) TWO vertical asympototes? F(x)is concave up on the region

  48. Calculus

    The function f(x) is defined as f(x) = -2(x+2)(x-1)^2 = -2(x^3 -3x + 2) on the open interval (-3,3). 1. Determine the x-coordinate of the absolute minimum of f(x) in the open interval (-3,3). Justify your answer. 2. Find all values of x for which f(x) is

  49. Calculus

    function f(x)=x3x2−1 defined on the interval [−16,16] A. Find the vertical asymptotes of function f(x) B. Find where it is concave up C. Find the inflection points

  50. calculus

    F.(0) (10 puntos posibles) C1 What is limh→0cos(π6+h)−cos(π6)h? (Enter the answer as a decimal. If the limit does not exist, enter DNE.) sin responder Loading C2 At which of the five points on the graph are dydx and d2ydx2 both negative? Click all

  51. Continuity Calculus Help

    The given function is defined for all x > 0 except at x = 8. Find the value that should be assigned to f(8), if any, to guarantee that f will be continuous at 8. (If an answer does not exist, enter DNE.) f(x)= Sqrt( x^2-64/x-8)

  52. Calculus

    Show that the function f(x)= x^(3) +3/(x^2) +2 has exactly one zero on the interval (-infinity, 0). So far this is what I have: 0=x^3 + 3/(x^2) +2 -2= (1/x^2)(x^5 + 3) -2x^2= x^5 +3 But now I'm stuck. I also am not sure if this is how I'm supposed to be

  53. Calculus

    Consider the function f(x)=xlnx. For the following questions, write inf for ∞, -inf for −∞, and None if no such answer exists. a.) The domain of this function is . b.) The x-intercept is . c.) f′(x) = . d.) f(x) is increasing on the interval and

  54. Calculus c

    Let f be a twice-differentiable function defined on the interval -1.2 less than or equal to x less than or equal to 3.2 with f(1)=2. The graph of f', the derivative of f, is shown on the right. The graph of f' crosses the x-axis at x=-1 and x=3 and has a

  55. Math: Calculus

    Answer the following questions for the function f(x)=sin(x/4)^2 defined on the interval [-12.266371, 2.241593]. Rememer that you can enter pi for as part of your answer. a.)f(x) is concave down on the interval ____. b.) A global minimum for this function

  56. Calculus please help me

    f(x) = \frac{ x^3 }{ x^2 - 25 } defined on the interval [ -18, 18 ]. Enter points, such as inflection points in ascending order, i.e. smallest x values first. Enter intervals in ascending order also. The function f(x) has vertical asympototes at (? )and

  57. Calculus

    f(x) = sin^2(x/2) defined on the interval [ -5.683185, 1.270796]. Remember that you can enter pi for \pi as part of your answer. a.) f(x) is concave down on the interval . b.) A global minimum for this function occurs at . c.) A local maximum for this

  58. calculus

    For x including [–15, 13] the function f is defined by f(x)=x^7(x+4)^6? For x including [–15, 13] the function f is defined by f(x)=x^7(x+4)^6 On which two intervals is the function increasing (enter intervals in ascending order)? ( i was able to get

  59. calc

    Consider the function below. (Round the answers to three decimal places. If you need to use - or , enter -INFINITY or INFINITY.) f(x) = 4 + 4x2 - x4 (a) Find the intervals of increase. (Enter the interval that contains smaller numbers first.) Find the

  60. Calculus (pleas help!!!)

    Please answer the following questions about the function f(x)=e^(-0.5x^2) Instructions: If you are asked to find x- or y-values, enter either a number, a list of numbers separated by commas, or None if there aren't any solutions. Use interval notation if

  61. Calculus (pleas help!!!)

    Please answer the following questions about the function f(x)=e^(-0.5x^2) Instructions: If you are asked to find x- or y-values, enter either a number, a list of numbers separated by commas, or None if there aren't any solutions. Use interval notation if

  62. Math

    A function f is defined on the interval [0,4], and its derivative is e^sinx-2cos3x a. on what interval is f increasing? b. at what value(s) of x does f have a local maxima? c. how many points of inflection does f have? *calculator is allowed for this

  63. Calculus

    A function f is defined on the interval [0,4], and its derivative is e^sinx-2cos3x a. on what interval is f increasing? b. at what value(s) of x does f have a local maxima? c. how many points of inflection does f have? *calculator is allowed for this

  64. math

    Answer the following questions for the function f(x)=x(sqrtx2+25) defined on the interval [–5,4]. A. f(x) is concave down on the region to B. f(x) is concave up on the region to C. The inflection point for this function is at D. The minimum for this

  65. Calculus

    The function defined below satisfies the Mean Value Theorem on the given interval. Find the value of c in the interval (1, 2) where f'(c)=(f(b) - f(a))/(b - a). f(x) = 1.5x-1 + 1.1 , [1, 2] Round your answer to two decimal places.

  66. Math

    The function defined below satisfies Rolle's Theorem on the given interval. Find the value of c in the interval (0,1) where f'(c)=0. f(x) = x^3 - 2x^2 + x, [0, 1] Round your answer to two decimal places.

  67. Math

    The function defined below satisfies Rolle's Theorem on the given interval. Find the value of c in the interval (0,1) where f'(c)=0. f(x) = x3 - 2x2 + x, [0, 1] Round your answer to two decimal places.

  68. Calculus

    The function defined below satisfies Rolle's Theorem on the given interval. Find the value of c in the interval (0,1) where f'(c)=0. f(x) = x3 - 2x2 + x, [0, 1] Round your answer to two decimal places.

  69. Calc

    f(x) = x^2 / (x - 7)^2 (a) Find the vertical and horizontal asymptotes. x= y= (b) Find the interval where the function is increasing. Find the intervals where the function is decreasing. (Enter the interval that contains smaller numbers first.) (c) Find

  70. college stats

    Sorry for all the questions, I really need help and an explanation so I can fully understand. I really appreciate everything. Thank you. In a random sample of 519 judges, it was found that 285 had an introvert personality type. Construct a 95% confidence

  71. Math

    [(6x+1)^3][(27x^2+2)-(9x^3+2x)](3)[(6x+1)^2](6) over [(6x+1)^3]^2 Help me simplify please? Here's what I got so far: [(6x+1)^5]{(27x^2+2)-[x(9x^2+2)]}(18) over (6x+1)^6 It says in the back of the book (it's an odd problem that the answer is 27x^2-24x+2

  72. Calculus

    function f(x)=x3x2−1 defined on the interval [−16,16] A. Find the vertical asymptotes of function f(x) B. Find where it is concave up C. Find the inflection points

  73. Calculus HELP!!!

    Here is the graph. h t t p : / /goo.gl/PTc2I (spaces added at the beginning so it could be added as a website) 1. Let g be the function given by g(x)=integrate from -4 to x f(t)dt. For each of g(-1), g'(-1), and g''(-1), find the value of state that it

  74. Calculus

    slope of tan line to the ellipse is -4x/y for x^(2)/4+y^(2)/16 Are there any points where the slope is not defined? (Enter them as comma-separated ordered-pairs, e.g., (1,3), (-2,5). Enter none if there are no such points.) slope is undefined at

  75. mean value theorem

    Show that the function f(x)=1-|x|, [-1,1] does not satisfy the hypotheses of the mean value theorem on the given interval. Also how do I graph the function together with the line through the points A(a,f(a)) and B(b,f(b)). Also how do I find values of c in

  76. 8th grade pre-algebra

    Can you check the following questions,please? Simplify 30. (-2y)^0/(3x^2)^-3 = 1/(3^-3)(x^-6) = 1/-27x^-6 = 27x^6 42. (-7x^5/14y^3)^3 = (-1^3)(x^15)/(2^3)(y^9) = (-1x^15)/8y^9

  77. Math

    17) Consider the function f(x)=3x3−3x2+4x+2 Find the average slope of this function on the interval (−3,5). By the Mean Value Theorem, we know there exists a c in the open interval (−3,5) such that f′(c) is equal to this mean slope. Find the two

  78. Math (Calc.)

    1.Use the IVT to explain why the following is true. If f continuous on (a,b) and f(x) does not equal to zero for all x in the interval (a,b), then f(x) > for all x in the interval (a,b) or f(x) < 0 for all x in the interval (a,b). 2. You are given that a

  79. Math - extreme values

    Identify the critical points and find the extreme values on the interval [-1,-5) for f(x)=cosx+xsinx+3 I've taken the derivative which gives me f'(x)=xcos(x). I know I have to solve to get the critical points and then plug in the critical points that are

  80. Math

    Suppose a function f(x) is defined on the domain [-8,4]. If we define a new function g(x) by g(x) = f(-2x), then what is the domain of g(x)? Express your answer in interval notation.

  81. Math - PreCalc (12th Grade)

    The function f(x) = 6x + 5 is defined over the interval [-1, 4]. If the interval is divided into n equal parts, what is the value of the right end point of the first rectangle?

  82. Math - PreCalc (12th Grade)

    The function f(x) = x2 − 5 is defined over the interval [0, 5]. If the interval is divided into n equal parts, what is the area of the kth rectangle from the right? A) [(2+k(5/n))^2+5](5/n) B) [(k(3/n))^2−5](5/n) C) [(k(5/n))^2+5](5/n) D)

  83. CALCULUs

    For all x in the interval [-11,13] the function f is defined by x^3(x+3)^4 On which two intervals is the function increasing? Find the region in which the function is positive

  84. Reiny!!!! math help

    We understand how to do the questions now and we are really glad n thankful, but the graphing portion of it is confusing. Continuation of the function. The teacher wants us to plot the points from the different parts of the questions we answered and with

  85. math-calc

    for x (-12, 10) the function f is defined: f(x)=x^7(x+2)^2 On which two intervals is the function increasing (enter intervals in ascending order)? Find the region in which the function is positive Where does the function achieve its minimum?

  86. math (calculus) PLZZZ help!

    Consider the function below. (Round the answers to two decimal places. If you need to use - or , enter -INFINITY or INFINITY.) f(x) = e^x/1+e^x find the horizontal and vertical assymptotes? find the interval whr f is increasing? Find the inflection point.

  87. Math

    Consider the equation below. (Give your answers correct to two decimal places.) f(x) = 8sin(x) + 8cos(x) 0 ≤ x ≤ 2 (a) Find the intervals on which f is increasing. (Enter the interval that contains smaller numbers first.) ( , ) union ( , ) Find the

  88. calculus

    Find the interval [a, b] on which the function f(x) = 2 x3+3 x2−12 x+3 is decreasing. Enter your answer as: [a, b] for some constants a, b.

  89. Relative Extrema: AP Calculus

    Consider the function f(x)= (3/4)x^4-x^3-3x^2+6x Find the relative extrema for f(x); be sure to label each as a maximum or minimum. You do not need to find function values; just find the x-values. Determine the interval(s) where f(x) is increasing (if any)

  90. calculus1

    Please help I want to post a picture but Jiskha doesn't allow me so I just describe what I see.the derivative tangent line curve start at (0,1/2). It curve downward pass the x-axis at (1,0)until it reach a local minimum at (2,-1)then it curve upward until

  91. math

    Define the inverse cotangent function by restricting the domain of the cotangent function to the interval (0, π). Evaluate the expression without using a calculator. (Enter your answer in radians.) arccot (-√3)

  92. Math (Pre-Calc)

    If any body could help me figure out these problems. I would love to know how to do it, and not just get an answer, however if you don't have the time to explain it to me, then the answer will suffice. 6. (1 pt) Solve the following equation in the interval

  93. Math.. how to get linear function

    The total length y is a linear function of the tail length x with great accuracy. The domain is the interval from 30mm to 200mm, and the range is the interval from 200mm to 1400 mm. The following two points are given: X0= 60mm, Y0= 455mm, X1=140mm, Y1=

  94. Algebra

    Today I did a practice SAT problem. If the function ƒ is defined by ƒ(x) = 2x + 3, and if ƒ(a) = 11, what is the value of a? A. 4 B. 7 C. 11 D. 17 E. 25 This is the correct answer and the explanation Here's Why: If the function ƒ is defined by ƒ(x) =

  95. Calculus

    Let f be the function defined for x >or= to 0 with f(0)=5 and f', the first derivative of f, give by f'(x)=e^(-x/4)sin(x^2). A) Use the graph of f' to determine whether the graph of f is concave up, concave down, or neither on the interval 1.7

  96. Caluclus

    [Mean Value Theorem] f(x)=-3x^3 - 4x^2 - 2x -3 on the closed interval [0,8]. Find the smallest value of c that satisfies the conclusion of the Mean Value Theorem for this function defined on the given interval. I got 8 - sqrt(5696) / -18 = 3.748436059 but

  97. Math

    Sanjay takes a pre-ap multiple choice test of 25 questions in which he earns 10 points for every correct answer, but loses 2 points for every incorrect answer. Sanjay answered all 25 questions and scored 202 points. How many did he answer correctly? how

  98. CALCULUS

    Consider the function: f(x) = x/(x^2 + 2) (a) Determine the intervals on which the function is concave up. Enter the leftmost interval first (e.g. (1,2) would come before (3,4)). (b) Determine the intervals on which the function is concave down. Enter the

  99. Precalculus

    Help with these questions help with these questions~ Thank you 1. Determine the interval(s) on which x^2 + 2x -3>0 a)x1 b)-3

  100. Please check my Calculus

    1. Find all points of inflection of the function f(x)=x^4-6x^3 A. (0, 0) B. (0, 0), (9/2, -2187/16) C. (3, -81) D. (0, 0), 3, -81) E. none of these I got D. I found the second derivative and solved for x and plugged values into original function to get

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