Pre- Calculus

21,686 results, page 99

  1. Calculus

    The volume of the 3-dimensional structure formed by rotating the circle x^2 + (y-5)^2 = 1 around the x-axis can be expressed as V = a\pi^2. What is the value of a?
  2. calculus

    Calculate the equation of the tangent and normal lines for the curve f(x) = tan 2x, at the point where the x-coordinate is: x = π/8.
  3. Calculus

    The volume of the 3-dimensional structure formed by rotating the circle x^2 + (y-5)^2 = 1 around the x-axis can be expressed as V = a\pi^2. What is the value of a?
  4. calculus

    Find the particular solution of the following differential equation by using the given boundary conditions. y(1+x)=x(y+1)(dy/dx) when y=1 x=1
  5. Calculus

    Find the arc length of the curve described by the parametric equation over the given interval: x=t^(2) + 1 y=2t - 3 --> 0<t<1
  6. Calculus

    Find the arc length of the curve described by the parametric equation over the given interval: x=t^(2) + 1 y=2t - 3 0<t<1
  7. calculus

    find the sum. use the summation capabilities of a graphing utility to verify your result. 5 Sigma (3a) k=2 ??
  8. Calculus

    Find the relative extrema of the function f(x) = 1/2 x - sinx on the interval (0, 2 pie) please show me how you got this!!
  9. math calculus (please help me)

    Solve for t. (Round your answer to two decimal places. (2 − (2.479/35))^7t= 29
  10. calculus 2

    Test the series for convergence/divergence. The Summation from n=1 to infinity of: 1*3*5...(2n-1)/(2*5*8...(3n-1) I'm not sure what to do with the extra terms on the left.
  11. Calculus

    How would I use the chain rule here for x^2+y^2=z^2 but still have my answer in equation form?
  12. Calculus

    Solve the differential equation by using Laplace transforms. Find the particular solution that satisfies them of: y''+2y'+y =4e^(-t)
  13. Calculus

    Use implicit differentiation to find an equation of the tangent line to the curve at the given point x^2 + xy + y^2 = 3, (1,1)
  14. Calculus - please help!

    How do you do this? Find the volume generated by revolving the area bounded by the ellipse(x^2)/9 + (y^2)/4 = 1 about the line x=3.
  15. Calculus - #5

    If h(x) is equal to (x^2-4)/(x+2)when x ≠ –2, and h(x) is continuous for all real numbers, then what is the value of h(–2)? 0 –2 –4 2 This is impossible. There is an infinite discontinuity at x = –2.
  16. college calculus

    I don't know how to solve this indefinite integral with both limits as variables: ^x^3 ç (z^4+1)dz ⌄ln(x) If you could explain I'd appreciate it.
  17. Calculus

    Solve the differential and initial value problem: x(dy/dx) + 1 = y^2 y(1)=0 I tried using bernoulli and it didn't quite work.
  18. Calculus

    I've been having a hard time with these lately... could someone explain it to me? Find f '(a). f(x) = (3x^2 − 3x + 4)
  19. calculus

    Four out of five days were used to create a problem, how many day will it take to solve it?
  20. calculus

    Describe the slope of the tangent line to the curve defined by x 2 + xy - y 2 = 5 when x = 2. positive negative zero undefined
  21. Calculus Help

    Use logarithmic differentiation to find the derivative of the function. show steps please! y=(e^-xcos^2(x))/(x^2+x+1)
  22. calculus help

    explain fully what trick you must use in order to us L'Hospital's rule for indeterminate powers?
  23. Calculus

    The velocity v (in m/s) of an object moving with acceleration a (in m/s^2) is given by v =ʃ a dt, where t is the time (in seconds). Find a formula for v, if a =(5/4t)(t^2+1)^2.
  24. CALCULUS

    two birds are flying along in 3-space. At time t, the first bird is at the point (x,y,z) on the line
  25. Calculus

    find the area of the region inside the limacon r= 8 + 4sin(theta) HElp!! if you can show steps, i'd be greatful
  26. calculus

    N(t) = 120/(1+11e^(−0.4t) D. At what rate is the number of fruit flies increasing after 4 days?
  27. Calculus-Math

    Find an equation of the tangent line to the graph at the given point. 3(x2 + y2)2 = 100(x2 − y2), (4, -2)
  28. Calculus

    Using the definition of derivative state the function, f(x) and the value of a for lim as h->0 of (square root of (121+h) -11)/h
  29. Calculus II

    find the distance between the given parallel planes 5x-5y+z=10 and 10x-10y+2z=2. I got 9sqrt51/51
  30. Calculus I

    lim x→ ∞ of e^(−x) sin√x A little lost. Help would be appreciated.
  31. calculus

    find the coordinates of the centroid bounded by y=25x^2 and y=4. the region is covered by a thin flat plate
  32. Calculus

    Find the volume of the largest rectangular box with edges parallel to the axes that can be inscribed in the ellipsoid x^2/81+y^2/25+z^2/49=1
  33. Calculus

    Find the work done by F(x,y,z)=(x^2y)i=(x-z)j+(xyz)k where c=(t)i+(t^2)j+(2)k, 0<t<1. The answer is supposed to be -17/15, but i keep getting -13/10. Any help on the process would be appreciated.
  34. Calculus

    Find the slope and equation of the tangent line to the graph of the function at the given value of x. f(x)=x^4-20x^2+64;x=-1
  35. Calculus

    Find all relative extrema. Use the Second Derivative Test where applicable. f(x)= cosx - x (0,2ð)
  36. Calculus

    Find the degree 3 Taylor polynomial approximation to the function f(x)=8ln(sec(x)) about the point a=0 .
  37. Calculus

    If f(x)=sin(2x), find f"(x) A. 2cos(2x) B. -4sin(2x) C. -2sin(2x) D. -4sinx E. None of these Is it B from using chain rules?
  38. Calculus

    Find d^2y/dx^2 for y=(x+3)/(x-1) A. 0 B. y=-8/(x-1)3 C. y=-4/(x-1)^3 D. y=8/(x-1)^3 E. None of these I got a positive number but am not sure about the denominator in the second derivative.
  39. Calculus

    Which of the following functions does not have a derivative of zero? A. y=-1/100 B. y=4(pi)^2-9 C. y=sin^2x+cos^2x D. y=cscxtanxcosx E. All do
  40. Calculus

    With the following coordinates (16,46) (18,64) (20,60) create three formulas using Y+Ax^2+Bx+C then solve for A,B, and C to form the final equation.
  41. Calculus

    Find the area of the region bounded by the curves y=12-x^2 and y=x^2-6. Hint:The answer should be a whole number.
  42. calculus

    For f(x) = e2sin(x) use your graphing calculator to find the number of zeros for f '(x) on the closed interval [0, 2π].
  43. Calculus

    Write the definite integral for the area of the region lying in the upper half of the ellipse given by 4x^2+y^2=4
  44. Calculus

    Integration with U-Substitution Integral of [x/sqrt(x+1)] dx I'm getting confused with how to deal with the x when I find the derivative of (x+1) because they don't match.
  45. calculus

    The graph of the function y=x^5-x^2+sinx has a point of inflection at x= a. 0.324 b. 0.499 c. 0.506 d. 0.611 e. 0.704 Thanks.
  46. Calculus

    Use implicit differentiation to differentiate y=x8/37, by writing it as y37=x8. Express your answer only in terms of x.
  47. calculus

    find the area under the curve y= 1/(3x+1)^2 over the interval [0,1]. please show all steps
  48. Calculus

    Find any relative max or min points of the given function y=3x^2+12x+17 So far, I have: y'=6x+12=0 2(3x+6)=0 x=-2
  49. calculus

    Write and then solve for y = f(x) the differential equation for the statement: "The rate of change of y with respect to x is inversely proportional to y^4."
  50. Calculus

    Describe the solid whose volume is represented by the following definite integrals. The integral of 2pi(x-1)e^x from 2 to 7.
  51. Calculus

    for a normal curve what percentage of values falls beyond two standard deviations from the mean
  52. Calculus

    Using a graphing calculator and the concept of differentials determine the values for x when 1/(1+3x)^5 is approx = to (1-15x) within .01
  53. Calculus

    y = g(x) = cos(x) Can someone show how to estimate g'(pi/2) using the limit definition of the derivative and different values of h. Thanks!
  54. Calculus

    Find the derivative of the following functions using the f prime of x = the limit as h approaches 0 of f(x+h) – f(x) all over h a)ƒ(x) = x2 + 5^x b)ƒ(x)= 1/2^x
  55. Calculus

    Show that the limit as h approaches 0 of (e^h-1 ) all over h = ln e = 1 using at least two numerical examples.
  56. calculus

    find the two numbers whose sum is 10, if the product of one by the cube of other is a maximum.
  57. calculus

    determine the diameter of closed cylindrical tank in meters if the volume is 11.3m^3 to get min. surface area
  58. calculus

    determine the diameter of closed cylindrical tank in meters if the volume is 11.3m^3 to get min. surface area.
  59. Calculus

    Find all solutions of the equation correct to three decimal places. (ex: 0.617 or -1.764) x^3=3x-3
  60. calculus

    Use the Trapezoidal Rule to approximate ¡Ò8 4 ln(x2+5) dx using n=3. Round your answer to the fourth decimal place.
  61. calculus

    Find a cubic function y = ax3 + bx2 + cx + d whose graph has horizontal tangents at the points
  62. Calculus

    Find the interval on which the curve of ∫ 6/(1+2t+t^2) where b=0 and a=x is concave up. Heres my work but im not sure at all g '(x) = 6/(1+2x+x^2) g ''(x) = -(2+2x)/[(1+2x+x^2)^2] upward when g ''(x) > 0. - (2+2x) > 0 x < -1
  63. Calculus

    find the radius and center of curvature of the parabola y=x^2 -4x + 4 at any point (x,y) on the curve.draw the circle of curature.
  64. Calculus: Implicit Derivatives

    Compute d/dx[f(g(x))] -where f(x)=x^4-x^2 -and g(x)=x^2-7 (Note: I tried 5 times but I still got this wrong. Plz help)
  65. Calculus

    Find equation of two tangent lines to curve y=x^2 that intersect @ (2,-2). Need exact values.
  66. calculus help

    integrate cos^10xdx.. .plz show working i really wanna learn these thanks anyway
  67. Calculus

    The Riemann sum s for f(x)=4x^2, 0<=x<=1, taking the sample points to be the right endpoints is given by s=4n^2+6n+2/3n^2. True or False?
  68. Calculus

    give a parametrization of the ellipse x^2/25 + y^2/9 =1 that travels once counter clockwise in an interval at belongs to (0, 2pi)?
  69. Calculus

    Find the dimensions of the largest right circular cylinder that can be inscribed in a sphere of radius 6 inches.
  70. Calculus

    A particle travels along the parabola y=ax^2+x+b. At what point do its abscissa and ordinate change at the same rate?
  71. Calculus

    Find the area of the largest rectangle cut from the first quadrant by a line tangent to the curve y=e^(-x^2)
  72. Calculus

    Solve the differential equation dy/dx = √[(x^3)(y)] with initial conditions x = 1, y = 2 so far i got y = (x^5)/25 + c so do i plug in 2 = (1^5)/25 + c 2 - (1/25) = c c = 49/25 = 1.96 is this correct?
  73. maths sir-reiny help calculus

    solve the differential equation (x^2-xy+y^2)dy-xydx=0 plz show me working
  74. Calculus

    find the extremum of f(x,y) subject to the given constraint, and state wether it is a maximum or minimum. 4y^2-29x^2; 3x+y=21
  75. Calculus

    Find the volume of the given solid. Under the surface z = 7xy and above the triangle with vertices (1, 1), (4, 1), and (1, 2)
  76. calculus

    For each of the following limits, determine the indicated limit if it exists. lim f(x)=? x approaches 4 from the left f(x)= -3.9997
  77. Calculus

    Find the particular solution that satisfies the differential equation and the initial conditions. f''(x) = x^2 f'(0) = 8, f(o)=4 f'(t) 10t - 12t^3, f(3) =2
  78. Calculus

    Find the particular solution that satisfies the differential equation and the initial conditions. F'(x) = 4x^2 f (-1)=3 F'(t)=10t-12t^3 f (3)=2
  79. Calculus

    Find the volume of the solid obtained by rotating the region enclosed by the graphs of y=18-x, y=3x-6 and x=0 about the y-axis V=
  80. Calculus

    If an isosceles triangle has a fixed perimeter P, find the dimensions that maximize that area. Show how you know that it is the maximum.
  81. Calculus

    use implicit differentiation to find dy/dx if 5xy+x^2y=10 Is this correct answer for this question (-5y-2xy)/(12x)
  82. Calculus

    The end behavior of f(x)=(2+x^2)/(x^2-36) most closely matches which of the following: y=1 y=-1 y=2 y=0 There is no leading coefficient so I am not sure what the answer is.
  83. calculus

    Find the volume of the solid obtained by rotating the region bounded by the curves y = x^8, y = 1 about the line y = 5.
  84. Calculus AB

    What's the lim(x-->-infinity) sqrt(x^4-1)/(x^3-1)? I've tried solving for it but I got -1/0, which would make it undefined. Is that correct?
  85. Calculus

    True or False,... Im confused If the continuous function f(x) has a domain (-∞, +∞), then either lim --> ∞ exists, or limit X--> ∞ is +-∞
  86. Math

    The letters in the words ALGEBRA, GEOMETRY, and CALCULUS are represented by the sets V= {A, L, G, E, B, R}, W= {G, E, O, M, E, T, R, Y}, and X={C, A, L, U, S}, respectively. I don't understand this can someone help?
  87. calculus

    Consider the following function. f(x) = (6 − x)e^−x (c) Find the point of inflection. (If an answer does not exist, enter DNE.) (x,y)=( , )
  88. calculus

    in your own words, describe how limits can be used to find the instantaneous rate of change of a function.
  89. Calculus

    find the volume of the solid formed by revolving the region bounded by the graphs of y=x^3 y=1 x=2 about the y-axis
  90. Calculus

    Use washers to find the volume formed by rotating the region enclosed by: y=1.4−2|x−13| and y=0 about the y-axis
  91. calculus

    Find the exact area of the surface obtained by rotating the given curve about the x-axis. x=t^3, y=t^2, 0 ≤ t ≤ 1
  92. calculus

    Find the slope of the tangent line to the given polar curve at the point specified by the value of θ. r=6/θ, θ=π
  93. calculus

    If x = 18cos^3θ and y = 18sin^3θ, find the total length of the curve swept out by the point (x,y) as θ ranges from 0 to 2π.
  94. calculus

    Evaluate the double integral ∫∫ y dA over D, where D is the top half of the disk with center the origin and radius 5?
  95. Calculus

    shiw that line tangents to an ellipse at the points P makes equal angle will the joining focus
  96. Calculus

    Differentiate and simplify as much as possible. Cube root(5z+6/-9z+3). The answer should be y'= (23(-9z+23)^2/3)/9(3z-1)^2(5z+6)^2/3) So far, I'm stuck at y'=[23/3(5z+6)(3z+1)][((5z+6)^1/3)/((-9z+3)^1/3)]
  97. Math calculus 2

    Find the integrating factor for the following differential equation (cos8x)y′+8(tan8x)y=4sec8x,0<x<π/16.
  98. Math calculus 2

    Find the volume of the solid generated by revolving the given region about the line x=16: y=4-x,y=0,y=2,x=0.
  99. Calculus II

    Find the volume of the solid obtained by rotating the region enclosed by the curves y=1x and y=3−x about the x-axis.
  100. Calculus

    Determine how many terms are required to approximate the sum of the series ((-1)^(n+1))/n^2 from n = 1 to inf with an error of less than 0.001.
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