Calculus (Answer Check)

88,703 results, page 96

  1. Trigonometry

    How do you simplify: (1/(sin^2x-cos^2x))-(2/cosx-sinx)? I tried factoring and creating a LCD of (sinx+cosx)(sinx cosx) (cosx-sinx), but cannot come up with the right answer. The answer is (1+2sinx+2cosx)/sin^2x+cos^2x,but I don't know how the book arrived at that answer. I'd ...
  2. algebra

    1)Identify the y-intercept and the axis of symemetry for the graph of f(x)=-3x^2+6x+12. answer=12:x=1 2)Determine whether f(x)=-5x^2-10x+6 has a maximum or minimum value and find that value. answer=maximum -1 3)Solve x^2=4x by graphing and indicate the roots. answer=0,4 4)...
  3. Math

    Can you please go step by step, Ill show what I did and you can correct me. The question is: a+a(x+1) My way: a+a(x+1) 2a(x+1) 2ax+2a Could someone please check over this and provide a correct answer and my error. Thanks in advance. a+a(x+1) does not equal 2a(x+1) If it was (a...
  4. derivatives

    Applications of derivatives A rectangle has its base on the x axis and its upper two vertices on the parabola y=12 - x^2. What is the largest area the rectangle can have, and what are its dimensions. Support your answer graphically. Thanks. Well, the parabola is symettric ...
  5. English

    Please check my last post as well. I typed a reply. Moreover if I were to come up with an Original and creative essay title. What should it be. For the topic Banning Cellphones while driving. 1. Who is to blame? 2. Blame the cellphone 3. I just wanted to text a friend 4. My ...
  6. Calculus

    Factor the following: y = (x-a)^5 . (x-c)^5 . (a-c)^5 It looks already factored to me
  7. Calculus

    If f(x) is a continuous function, find the constants a and b such that f(x) = { -x -3 <= x <= -2 ax^2 + b -2<x<0 b x=0
  8. Calculus

    q=(1000/p+1)^2 - 1 find q' I will be happy to critique your thinking.
  9. calculus

    integrate ((x^3/6)+(1/(2x)))*squareroot of 1+(x^4/4)+(1/4x^2)-1/2..plz help me...tnx in advance!
  10. calculus

    does anyone know the shortcut to finding the derivative of a function for example: x^3-3x^2
  11. pre calculus

    how do you tell if a function is even or odd?
  12. Calculus

    Find an equation for the tangent and normal to the curve x^2 + y^2 = 9 at x=1
  13. Calculus Test Question!!!!!

    Find the derivative if y=x^1+sqrt2
  14. calculus

    how do I find the range of a natural log like ln | x/(1+x^2) |
  15. calculus

    f(x)=(y+a)and b=the limit as y aproches 2+f=1000. I need to know what y and a equal.
  16. CALCULUS 1

    Find dL/dx set to zero. Solve for x. (27+x)/x * sqrt(64+x^2)
  17. Calculus

    Find the average value of f(t)=-2te^(-t^2) on the interval [0,3]
  18. Calculus

    Is thsi a solution of an ordered pair (4, -1) 4x = -17 - y 2x = -12 -4y I say yes ? Is this how you do it. 4(4) = -17 - -1 = 2(4) = -12 - 4(-1)
  19. calculus

    calculate the indefinite integral (cosx)/(sin^3x)
  20. calculus

    Find the sum of the series: 10 + 14 + 18 + 22 +...+138 and 6-12+24-48+96-...+1536
  21. calculus

    integrate (x+2)/((x^2+2x+4)^2) the usual partial fractions don't work???
  22. Calculus

    two complex numbers Z and W are related by the formula W=(Z+1)/(1-Z) what is W if Z=1.5i? thanks for the help!
  23. calculus

    how to you use partial fractions to compute the integral of ax/((x^2)-bx)dx?
  24. calculus

    does the series from n=1 to infinity of 1/arctan(2n) converge? I said yes but I didn't know what to
  25. Calculus

    Can someone please tell me how to derive V=4/3pi(r)^3 to get x^2+y^2=r^2?
  26. Pre-Calculus

    how do u state the period of a function? for ex. f(x)=sin((1/2)x)
  27. calculus

    solve the following differential equation: y' + (y)tanh(x) - 2e^x = 0
  28. Calculus

    Find the point where the tangent to the curve is horizontal. f(x) = (x^2-2x+4)/(x^2+4)
  29. Calculus

    Find the equation of the tangent to the curve y=e^x at the point where x=-1.
  30. Calculus

    What is the derivative of y = ln 3x2? a) y' = 2/x b) y' = ln 6x c) y' = 2 ln3 d) y' = e6x I think it's d.) Thanks.
  31. Pre-Calculus

    What is the Domain and Range of the function: Y=sin2x+4?
  32. Calculus

    Find the derivative of Integral from -5 to sin(x) of cos(t^3)+t
  33. calculus

    What is the domain for y=sqrt((x)/(x-1))? Can anyone please teach me how to do it? THANKS A LOT!
  34. calculus

    find the x-values at which f is not continuous. which of the discontinuities are removable? f(x)=1/(x^2+1)
  35. pre-calculus

    Determine whether y is a function of x: x^2y-x^2+4y=0 Please help. Thanks.
  36. Pre-Calculus

    Directions: Find the 2 Functions f and g such that (f o g)(x)= h(x). 1. h(x)=(2x+1)^2
  37. calculus

    If we know that for a function, f(x), that f(2) = 6 and f(5) = 1, what is the average rate of change of f(x) on the interval [2,5]?
  38. calculus

    Evaluate the following limit: lim x --> 2 sqrt(x^2 - x)/(2x - 3)
  39. calculus

    find all x,y intercepts of x+6/x-3 show work
  40. calculus

    find all intercepts x^2-4/x-1 show work
  41. 12th AP Calculus

    use implicit differentiation to find dy/dx and then d^2y/dx^2 x^2/3 + y^2/3 = 1
  42. calculus HS

    Analtical method to evaluate Lim X -> -infinite
  43. calculus

    are the deritives of sin and cos functions inverses
  44. Calculus

    Find the maximum and minimum values of f(x,y,z)=x+4y+5z on the sphere x^2+y^2+z^2=1.
  45. Calculus

    Limit as x goes to negative infinity of sqrt(x^2+3x)+x?
  46. calculus

    f(x)=x^3/(x^2-1) find the regions of concavity and inflection points
  47. calculus

    Use the Midpoint Rule to approximate the integral (5x-9x^2)dx from 6 to 15
  48. Calculus

    Solve for the function y. dy/dx = xe^y, when y(1)=0 I got as far as: e^-y dy = x dx But then how do you continue from there?
  49. Calculus

    Find the area between the two curves f(x)= ln(x+1)+2 g(x)= x^2-8x+12
  50. CALCULUS

    AN EQUATION OF THE LINE NORMAL TO THE GRAPH OF Y= SQRT[3X^2 + 2X] AT (2, 4) IS??
  51. Calculus

    I rewrote the quesion y = sqrt (4 + sin 10x)
  52. calculus

    identify and explain all the kinds of discontinuity for y = (x + 4)/(x^2 - 16)
  53. calculus

    Can someone help me with the problem? f(x)={ln 2x, 0<x<2 {2lnx, x >or= 2 The limit lim x-> 2 f(x) is?
  54. Calculus

    Find the horizontal asymptote for the function: 3x^4-2x^3+7x/x^4/14x-2
  55. Calculus

    Find all the points of inflection of the function: f(x)=x^3-3x^2-x+7
  56. calculus

    solve what is the limit x->(pi/4) (1-tanx)/(sinx-cosx)
  57. calculus help

    find the integral of square root of 1+x^3 dx or sqrt(1+ x^3)dx
  58. calculus

    find the integral of square root of 1+x^3 dx or sqrt(1+ x^3)dx
  59. calculus

    v(r)= k(a-r)r^2 where k is a constant evaluate v at a. This is what I got when I solved but it is not correct. v(a)=k(a-a)a^2 v(a)=ka^2
  60. Calculus

    the length of the curve of intersection of the cylinder (4x^2) + y^2 = 4 and the plane x + y + z = 2
  61. Calculus

    Find the equation of the tangent line to the curve 2e^(xy) = x + y at (0,2)
  62. Calculus

    If the equation of the tangent line to the curve: xy^3+xy=6, (3,1) find m and b
  63. Calculus

    Consider the function f(x)=x^4 + 8sqrtx Let F(x) be the antiderivative of f(x) with F(1)=-4. Then F(x)=_____
  64. Calculus (1st Year)

    Solve the integral: S (e^-cosx)(x^2)dx
  65. Calculus

    find the equation of the tangent line to the curve when x=7. f(x)= 6-x^2
  66. Calculus

    find the equation of the tangent line to the curve when x=7. f(x)= 6-x^2
  67. Differential calculus

    Given that x=sinht and y=-cosht. find: dx/dy
  68. Differential calculus

    Given that f(x)=x, g(x)=x-1: h(x)=sqrtx-1. find f0g0h.
  69. Differential calculus

    Given that f(x)=x, g(x)=x-1: h(x)=sqrt(x-1) find f0g0h.
  70. Calculus

    Infinite series question. an=2+(0.99)^n Converge or Diverge?
  71. calculus

    x arc cos square root of4x+1
  72. Calculus

    [Implicit Differentiation] (5x-y)^4 + 2y^3 = 258 evaluate y' at the point (1,1)
  73. Calculus

    Suppose f and g are functions that are differentiable at x=1 and that f(1)= 2, f'(1)= -1, g(1)= -2, and g'(1)= 3. Find the value of h'(1). h(x)= [x f(x)] / [ x + g(x) ]
  74. calculus

    what is the limit of (1-tanx)/(sinx-cosx) as x approaches pi/4?
  75. Calculus

    Find the limit. lim (x+2)/(radical(9x^2+1)) x-->infinity
  76. Calculus

    Find the derivative of 1/8tan^(-1)(x/8) & (x/2)(sqrt(64-x^2) + 32sin^(-1)(x/8)?
  77. Calculus

    Differentiate the following function. f (x) = 7 sin(x) + 1/6 cot(x)
  78. calculus

    find the limit as x reaches infinite with the equation x^2-5/2x+1
  79. calculus

    how would i find the deriviative of y= x^ (- square root of 2)
  80. calculus

    write the product in standard form (1-4i)(3-2i) (squareroot-4+i)(6-5i)
  81. Calculus

    Sketch the graph of a function that is continuous at x=5 but not differentiable at x=5.
  82. calculus

    Find the derivative. Could you please show me the steps? y = ãx(5-ãx)
  83. PRE CALCULUS

    find the range of the following functions g(x) =x/x-2
  84. Calculus

    Evaluate the indefinite integral: x^2 / (3-4x^3)^6 I got -1/(60(4x^3-3))^5 but it's not right.
  85. calculus

    Find the indefinite integral. ∫x√(2x+1)dx
  86. calculus

    if f is a continuous function defined by f(x)={x^2+bx, 5 sin("pie"/2x) then b= ?
  87. Calculus

    Evaluate the indefinite integral. (5dx)/(xln(2x))
  88. Math- Calculus

    lim 108(x^2+2x)(x+1)^3 x-> -1 __________________ (divide) (x^3+1)^3 (x-1)
  89. calculus

    evaluate each limit, if it exists Lim as x approaches -2 (x^4 - 16) / (x+2)
  90. calculus

    y=¡î(9-x©÷) find the x-axis using the disk method?
  91. calculus

    lim sinx as x approaches pie/r A) -(2^1/2)/2 B) (2^1/2)/2 C) (2^-1/2)/4 D) DOES NOT EXIST E) -(2^(-1/2))/4
  92. calculus

    find the slope of the tangent at the given point. Y=2x^4 (-1, 2)
  93. calculus

    Given f(x) = 2(x^(5/3)) - 5(x^(2/3)) Find the slope of the tangent at each x-intercept
  94. Pre Calculus

    complete the identity: sin^4 x-cos^4 x
  95. Calculus

    suppose that f(5)=5 and the limit as x->5 is 4f(x)-20/(x-5)(x+5)=10 find derivative of the function.
  96. calculus

    find an antiderivitive for integral(f looking sing)3/3x+4 dx
  97. calculus

    find the length of the curve;x^2=a^2(1-e^(y/a))measured from(0,0) to(x,y) is a log(a+x/a-x)-x.
  98. Pre calculus

    Find the inverse function of F(x) = 2 arccosx F-1(x)=
  99. Calculus

    Lef f be the function defined by f(x)=x^3+x. If g(x) is the inverse of f(x), g(x)=f^-1(x) and g(2)=1, what is the value of g'(2)?
  100. Calculus

    Find the derivative of y=cos(squarerootsin(tzn(pi*x)))
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