1. Calulus

    Consider the function y = 2x^3-3x^2+9x+5. 1. Find where the function is increasing, where the function is decreasing, and calculate all relative extrema (local max and local min) 2. Find where the function is concave up, where the function is concave down,
  2. CAL

    Hi, im lost in theses three problems. Please help. Thank you so much!!! 1. Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the outer function y = f(u).] y = 3 squareroot all 1 + 5x (g(x), f(u)) = ??????? Find the
  3. calc

    Consider the function below. (Round the answers to two decimal places. f(x) = 2x tan(x) -p/2 < x < p/2 (a) Find the interval where the function is increasing. Find the interval where the function is decreasing. (b) Find the local minimum value. (c) Find
  4. pre calc

    The Identity Function The Squaring Function The Cubing Function The Reciprocal Function The Square Root Function The Exponential Functional Lo The Natural Logarithum Function The Sine Function The Cosine Function The Absolute Value Function The Greatest
  5. Math22

    1. Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the outer function y = f(u).] y= (g(x), f(u)) = 2. Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the outer function
  6. calculus

    8. Find the derivative of the function f(x) = cos^2(x) + tan^2(x) 9. Find f '(x) for f(x) = xln(x) - 5ex. 10. Find f '(x) for f (x) = e(^lnx) + e^(x)ln(x) 11. Find the x-coordinate where the graph of the function f(x) = e^(-cosx) has a slope of 0. 12. If
  7. pre-cal: graphs of functions- fill in the blank

    To find the domain of a function from its graph... To find the range of a function from its graph... To approximate the relative minimum or maximum of a function using a graphing utility,... Let a(,f(a)) and (b,f(b)) be two points on the graph of a
  8. Maths

    Question – 1: The gradient of the graph of f(x) at any point is,ax^2-12x + 9, and the point,(2,-3),is an inflection point of f(x). (a) Find the value of the real constant, a. Find the function f(x). (b) Find the stationary points of the function, then
  9. Functions - math

    The function f is such that f(x) = 2x + 3 for x ≥ 0. The function g is such that g(x)= ax^2 + b for x ≤ q, where a, b and q are constants. The function fg is such that fg(x)= 6x^2 − 21 for x ≤ q. i)Find the values of a and b ii) Find the
  10. ENG. PHYS

    A constant force Fx = 5.8 N is in the +x direction. (Use the following as necessary: x, and x0. Do not include units in your responses.) (a) Find the potential-energy function U(x) associated with this force if U(x0) = 0. (b) Find a function U(x) such that
  11. calculus 1

    f(x) = 3x^3 - 9x + 5 find the: 1) zeroes or undefined values 2) intervals where the function is greater than zero 3) intervals where the function is less than zero 4) coordinates of all maxima and minima 5) intervals where the function is increasing 6)
  12. Maths

    Demand function P=50-Q Average Cost 5Q + 40 +10/Q Calculate the firm's total cost function Find the marginal cost function and evaluate it at Q=2 and Q=3 What is the total revenue function Find the firms's revenue maximising output level Find the firm's
  13. MATH

    We now have d dx [x5 + y8] = 5x4 + 8y7y' = d dx [9] = 0. Rearranging this, we get 8y7y' = ?????????? ------------------------------------- A table of values for f, g, f ', and g' is given. x f(x) g(x) f '(x) g'(x) 1 3 2 4 6 2 1 8 5 7 3 7 2 7 9 (a) If h(x)
  14. precalculus

    (A) find the domain of the function, (B) decide if the function is continuous, and (c) identify your horizontal and vertical asymptotes. F(x)= (3x^2+1)/(x^2+x+9) Find the zeros (if any) of the rational function. G(x)= (x^3-8)/x^2+4 H(x)=5 + 3/(x^2+1) G(x)=
  15. precalculus

    (A) find the domain of the function, (B) decide if the function is continuous, and (c) identify your horizontal and vertical asymptotes. F(x)= (3x^2+1)/(x^2+x+9) Find the zeros (if any) of the rational function. G(x)= (x^3-8)/x^2+4 H(x)=5 + 3/(x^2+1) G(x)=
  16. math

    We fire a missile from ground level at 1750 ft/sec. at launch angle of 10 degrees. h(t) =-16t^2 + vot +h a. find a function for height as a function b. find a function for distance from launch point as a function of time. c. when will the missile reach max
  17. math

    The weekly demand for the Pulsar 25 color LED television is represented by p, where p denotes the wholesale unit price in dollars and x denotes the quantity demanded. The weekly total cost function associated with manufacturing the Pulsar 25 is given by
  18. math

    The weekly demand for the Pulsar 25 color LED television is represented by p, where p denotes the wholesale unit price in dollars and x denotes the quantity demanded. The weekly total cost function associated with manufacturing the Pulsar 25 is given by
  19. precalculus

    analyzethe graph of the function Find the x- and y-intercepts. (b) Determine the end behavior: find the power function that the graph of f resembles for large values of |x|. (c) Find the maximum number of turning points. (d) Graph the function Please show
  20. 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.
  21. 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
  22. Algebra2

    Complete parts a – c for each quadratic function: a. Find the y-intercept, the equation of the axis of symmetry and the x- coordinate of the vertex. b. Make a table of values that includes the vertex. c. Use this information to graph the function. 1.
  23. AP Calculus

    Consider the function f(x) = 1/4x^4 - 5/3x^3 - 3/2x^2 + 15x - 3. A. 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. B. Determine the interval(s) where f(x)
  24. math

    . Given the following function, f(x)=-x^2 -8x find: (a) vertex, (b) axis of symmetry, (c) intercepts, (d) domain, (e) range, (f) intervals where the function is increasing, (g) intervals where the function is decreasing, and (h) the graph of the function.
  25. 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?
  26. Algebra

    Given the following piecewise function: Find the Given the following piecewise function: f(x)= {?(x+10 for -9 ?x
  27. College Algebra

    Find the inverse of the function below. Graph the function below and the inverse function. Determine the domain, range, and asymptotes of the function below and the inverse function. Please show all of your work. Show both graphs. f(x)=2ln(3-x)+6
  28. 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
  29. 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)
  30. math

    The cost of producing q articles is given by the function C=f(q)=100+2q. (A) Find the formula for the inverse function. (B) Explain in practical terms what the inverse function tells you. I am pretty sure the answer to A is f^-1(C)=C/2-50 For B, the
  31. calculus

    I have three questions I'm having a terrible time with: 1)Find, if possible, the absolute maximum value and where it occurs for f(x)=ln(xe^-x) on (0,infinity). 2)Find the value(s) of "c" guaranteed by the Mean Value Theorem for the function f(x)=ln(x^2) on
  32. Calculus. I need help!

    Write the composite function in the form f(g(x)). [Identify the inner function u=g(x) and the outer function y=f(u).] Then find the derivative dy/dx. y=√sinx √ is square root.
  33. 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
  34. algebra

    2. The function f is defined as follows f(x)={4+2x if x0 a) Find the domain of the function b) Locate any intercepts c) Graph function d) Based on graph find range e) Is f continuous on its domain? a) The domain of the function f is
  35. pre calculus

    Find the inverse of the function below. Graph the function below and the inverse. Determine the domain, range and asymptotes of the function below and the inverse function. Please show all your work. f(x) = 2e^-x + 5 Just looking at this gives me a
  36. 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
  37. 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
  38. 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
  39. calculus

    At the indicated point for the function, find the following. A graphing utility's numerical derivative feature can be used to check your work. y = (x3 + 2x)3 at x = 3 (a) Find the slope of the tangent line. (b) Find the instantaneous rate of change of the
  40. precalculus

    Find the inverse of the function below. Graph the function below and the inverse function. Determine the domain, range, and asymptotes of the function below and the inverse function. Please show all of your work. and graph. f(x)=e^-x/2+4
  41. Math

    Using the distance function s(t) = t2 + 4t + 30, "s" is in feet and "t" is in seconds, find the velocity function, v(t), and acceleration function, a(t).
  42. Trigonometry

    I posted this earlier today: I do not know how to find a single function of x or ø by using an identity. How do you find a single function using identities for a problem such as: cos(3pi/4 - x) But I think either I'm trying to find ø or I'm trying to
  43. math

    Consider the following. lim x→−2 2x^2 − 2x − 12/x + 2 Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.) Write a simpler function that agrees with the given function at all but one point. g(x) = ??? thnks
  44. Math (Limits)

    Consider the following function. f(x) = 2x^2 − 8x Find the limit. lim (Δx->0) (f(x+Δx)-f(x))/(Δx) How would I set up the equation to work with that function? I know how to plug in the values usually, but how would I do this for that function
  45. pre calculus

    find the following for the function f(x)=(x+3)^2(x-1)^2 a.) find the x and y intercept of the polynomial function f. b.)find the power function that the graph of f ressembles for large values of lxl. c.)determine the maximum number of turning pointsof the
  46. Algebra 1 - Help!?

    Two big questions that are driving me mad. 1) Given the following linear function sketch the graph of the function and find the domain and range. f(x) = 2/7x - 2 2) Given the following linear function sketch the graph of the function and find the domain
  47. math

    i need to find when the function increases or decreases, this is the derivative of the function (10 − 3x)/(2 ¡î5 − x) but how do you solve the function when x is zero?
  48. Clueless in calculus

    Let f be the function be defined by f(x)=5^((2x^2)-1)^(1/2) A) is f an even or odd function? Justify answer. B) find the domain of f. C) find the range of f. D) find f'(x)
  49. calculus

    Let f be the function be defined by f(x)=5^((2x^2)-1)^(1/2) A) is f an even or odd function? Justify answer. B) find the domain of f. C) find the range of f. D) find f'(x)
  50. Maths mst

    Question – 2: Consider the function,f(x) = (2/x+2)+4exp(-2x). (a) Find the area under the graph,A,and the average value,W, of the function,f(x),in the interval,[2,5]. (b) Find, f'(x), f''(x-2),and,f'(0) . (c) If, g(x) = x^2-1,find f(g(x)),and
  51. Calculus

    Let f be the function be defined by f(x)=5^((2x^2)-1)^(1/2) A) is f an even or odd function? Justify answer. B) find the domain of f. C) find the range of f. D) find f'(x)
  52. Calculus

    The price-demand and cost functions for the production of microwaves are given as p=235−x40 and C(x)=14000+70x, where x is the number of microwaves that can be sold at a price of p dollars per unit and C(x) is the total cost (in dollars) of producing x
  53. math

    Suppose the income (in tens of thousands of pesos) of employees at University X can be approximated by a continuous distribution with density f(x) = ( 2x􀀀2; if x  2 0; if x < 2 Find the probability that a randomly chosen employee has an income between
  54. math

    Suppose the income (in tens of thousands of pesos) of employees at University X can be approximated by a continuous distribution with density f(x) = ( 2x􀀀2; if x  2 0; if x < 2 Find the probability that a randomly chosen employee has an income between
  55. Quadratic Functions

    Please explain to me how to do the following problems, I don't understand them. Thanks! Find the x-intercepts (if any) for the graph of the quadratic function. 1.f(x) = (x + 2)2 - 4 Find the y-intercept for the graph of the quadratic function. 5.y + 9 = (x
  56. calculus

    1. Which of the following expressions is the definition of the derivative of f(x) = cos(x) at the point (2, cos(2))? 2. Find the derivative of f(x) = |x + 2| at the point (1, 3) 3. Find f '(x) for f(x) = -2x3 + 3x2 - x + 15. 4. Find all values of x on the
  57. math

    this question concerns the function f(x)=-2x3+3x2+12x+10 (a)find the stationary points of this function using the strategy to apply the first derivative test,classify the left hand stationary point found in part (a) find the y-coordinate of each of the
  58. Algebra

    That is not what the ? is asking. The ? is asking about how to get the quotient function, not the composite as you solved for. Can you please show us how to get the quotient function solution? Thanks! I need to find the Quotient Function of the following:
  59. algebra

    A rental company purchases a truck for $14,500. The truck requires an average cost of $6.75 per day in maintenance. (a) Find a linear function that expresses the total cost C of owning the truck after t days. C(t) = (b) The truck rents for $55.00 a day.
  60. Algebra

    Please check my answers. Find the coordinates of the vertex for the parabola defined by the given quadratic function. 1.f(x) = (x - 4)2 - 4 -I got (4,-4) Find the axis of symmetry of the parabola defined by the given quadratic function. 3.f(x) = (x + 2)2 +
  61. Algebra Problems

    Please check my answers. Find the coordinates of the vertex for the parabola defined by the given quadratic function. 1.f(x) = (x - 4)2 - 4 -I got (4,-4) Find the axis of symmetry of the parabola defined by the given quadratic function. 3.f(x) = (x + 2)2 +
  62. Algebra

    Please check my answers. Find the coordinates of the vertex for the parabola defined by the given quadratic function. 1.f(x) = (x - 4)2 - 4 -I got (4,-4) Find the axis of symmetry of the parabola defined by the given quadratic function. 3.f(x) = (x + 2)2 +
  63. College math

    Determine whether the following function is a one-to-one function,and if the function is a one-to-one, find a formula for the inverse. F(x)=x^3-27
  64. maths

    given function G(x)=1/3(x-2)^2-3 2
  65. College math

    Determine whether the following function is a one-to-one function,and if the function is a one-to-one, find a formula for the inverse. F(x)=(5x-6)/(2x+3)
  66. College math

    Determine whether the following function is a one-to-one function,and if the function is a one-to-one, find a formula for the inverse. F(x)=5/(x+3)
  67. algebra

    A rental company purchases a truck for $14,500. The truck requires an average cost of $6.75 per day in maintenance. (a) Find a linear function that expresses the total cost C of owning the truck after t days. C(t) = 1 (b) The truck rents for $55.00 a day.
  68. calculus

    given the following piecewise function x+11 for -9
  69. College alg

    Analyze the graph of the following function as follows: (a) Find the x- and y-intercepts. (b) Determine the end behavior: find the power function that the graph of f resembles for large values of |x|. (c) Find the maximum number of turning points.
  70. Maths

    Given the quadratic function y =3x^2+10x-8 (i)Find the y-intercept. (ii)Find the x-intercept. (iii) Calculate the axis of symmetry. (iv)Find the coordinates of the vertex (v)Sketch the graph of the above function.
  71. Pre-Calculus

    The function f(x)= x^4 is not one-to-one. Find a suitable restriction on the domain of f so that the new function that results is one-to-one. Then find the inverse of f. Restrict it to be non-negative to meet the 1-1 requirement.
  72. Pre-Cal.

    find the inverse of the following function. Find the domain, range,and asymptotes of each function. Graph both functions on the same coordinate plane. f(x)=3+lnx
  73. Math

    Find the equation of the curve that joins the following points. Hint: Use common differences. a. The zeros of the function are 3,-1,-5. The y-intercept is 15. Find the function. b. (1,1), (0,1), (2,-5), (-1,-5)
  74. pre calculus

    Find the inverse of the following function. Find the domain, range, and asymptotes of each function. Graph both functions on the same coordinate plane. F(x)= ln(8-x) I am totally lost, somebody please help????
  75. urgent urgent algebra

    find the composite function fog f(X) = 1/X-5,g(x)-6/x question 2 find inverse, domain range and asymatotes of each function f(x)=3+e^4-x can some one help me please been stuck on these for 2 days need help solving thank you
  76. Calculus

    Find the 3rd order for the taylor polynomial in powers of x for the function f(x)=sinh2x and find the remainder as a function of x and c. P3(x)=? R3(x)=? What's the kth term expression?
  77. calculus

    Let f(x)=(2+x)2−4x. Note that f(x) is undefined at x=0. However, in this case, we can find a continuous function g(x) defined at x=0 that agrees with f(x) near x=0. Find the function g(x) that is equal to f(x) when x≠0 such that g(0)=limx→0f(x).
  78. calculus

    Find the inverse of the following function. Find the domain, range, and asymptotes of each function. Graph both functions on the same coordinate plane. f(x)=3+e^4−x
  79. calculus

    Let f(x)=x2+x−6x−2. Note that f(x) is undefined at x=2. However, in this case, we can find a continuous function g(x) defined at x=2 that agrees with f(x) near x=2. Find the function g(x) that is equal to f(x) when x≠2 such that g(2)=limx→2f(x).
  80. Math

    Find the distance function s(t) if you know the acceleration function a(t)= sin(0.1t)/cos^3(0.1t) find the second derivative of a(t). I will be happy to critique your work.
  81. Algebra Functions

    I cannot for the life of me remember how to do this- Find the vertex of the graphs of the functions: Function #1: y=(x-4)(x+2) AND Function #2: y=2x^2-4x+1 Can someone help me get it PLz! OK - to find the vertex of these functions you must have them in
  82. 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
  83. calc

    let f be function given by f(x)= Ln(x)/x for all x> 0. the dervative of f is given by f'(x)= (1 - Ln(x))/x squared. a) write equation for the line tangent to the graph of f at x=e squared b) Find the x-coordinate of the critical point of f. Determine
  84. Math Demand Functions

    Given the function q=D(x)=k/x^n where k is a positive constant and n is an integer greater than 0. How would you find the elasticity of the demand function After you find the der. what do you do?
  85. Calc

    For the function f(x) = 5x^6 + 6x^5 - 15x^4 a.) find where the function is increasing & decreasing b.) find where the graph if concave up & concave down c.) name all inflection points d.) find all relative extrema
  86. inverse

    If f(x)=cosx + 3 how do I find f inverse(1)? Thanks y = cos(x) + 3 the inverse of this is x = cos(y) + 3 solve for y and you have your inverse The cos function only has a range of [-1,1], so the range of f(x) is [2,4]. this means f inverse of 1 doesn't
  87. college algebra

    Find the inverse of the following function. Find the domain, range, and asymptotes of each function. Graph both functions on the same coordinate plane f(x)=4+e^-x/3 please help me! show steps also, if i an just given an answer that wont help me! thanks in
  88. College Algrbra

    Given the following quadratic equation, find a. the vertex b. the axis of symmetry. the intercepts d. the domain e. the range f. the interval where the function is increasing, and g. the interval where the function is decreasing h. Graph the function
  89. college algebra

    Given the following quadratic equation, find;? a. the vertex b. the axis of symmetry c. the intercepts d. the domain e. the range f. the interval where the function is increasing, and g. the interval where the function is decreasing h. Graph the function.
  90. algebra

    Given the following function, find: (a) vertex (b) axis of symmetry (c) intercepts, (d) domain (e) range (f) intervals where the function is increasing, (g) intervals where the function is decreasing Please show all of your work f(x)=-7x^2-14x-3
  91. College algebra

    Given the following quadratic equation find. a) the vertex b) the axis of symmetry c) the intercepts d) the domain e) the range f) the interval where the function is increasing g) the interval where the function is decreasing h) graph the function y=
  92. college algebra

    Given the following quadratic equation, find a. the vertex b. the axis of symmetry c. the intercepts d. the domain e. the range f. the interval where the function is increasing, and g. the interval where the function is decreasing h. Graph the function.
  93. Please help! quadratic equation

    Given the following quadratic equation find. a) the vertex b) the axis of symmetry c) the intercepts d) the domain e) the range f) the interval where the function is increasing g) the interval where the function is decreasing h) graph the function y=
  94. Calculus

    Find the Taylor Polynomial of order 1 for the function f(x)=arctan(x/5) in powers of (x-5). Also find the remainder R1(x) as a function of x and c.
  95. algebra

    How do I find out if x-1 is a function --- 3 and does x-1 1 1 --- =y = - - - =y 3 3x 3 oh sorry, it came all weird when i typed it out can you just answer me this? how do i find out if (x-1)/3 is a function? oh, and sorry, the name's wrong because I used
  96. College Algebra

    The graph of a quadratic function f(x) is shown above. It has a vertex at (-2,4) and passes the point (0,2). Find the quadratic function y=a(x-(-2))^2+4 y=a(x+2)+4 2=a(x+2)+4 -4 -4 -2=a(0+2)/2 -1+ a function -1(x+2)+4 ? Im not sure where Im going wrong but
  97. Calc

    I have an acceleration function and a velocity function that I know the equations for. How would I use those to find the equation for a position function x(t) if x(0) = 0? I'm just looking for a general method, but I can give the equations if needed.
  98. pre cal

    Find a possible formula for the function graphed below. Assume the function has only one x-intercept at the origin, and the point marked on the graph below is located at (2,12). The asymptotes are x=−2 and x=1. Give your formula as a reduced rational
  99. Pre-Calculus

    The surface ares S (in square meters) of a hot air ballon is given by s(r)=4 pi r^2 where r is radius of balloon (in meters). If the radius r is increasing with time (in seconds) according to the formula r(t) = 2/3t^3, t is greater than or equal to 0, find
  100. Calculus

    Consider the function f(x) = (4x + 4)/(2x^2+4x) and the function g(x)=(2x+2)/(x^2+2x) Clearly, f(x) = g(x) for any value of x and thus f and g should be thought of as merely different notation for the same function. Now find the integral of f(x)dx and the