Pre- Calculus

21,824 results, page 81

  1. calculus

    Find the area of the region between the parabola 4y = x^2 and the line 3x + 4 y = 4
  2. Calculus

    Evaluate the following limit, if it exists: lim h-->0 ((sqrt9+h)-3/(h)
  3. Calculus

    Find all first partial derivatives: f(x,y)=e^(xy)cosx
  4. Calculus

    Find the values of a , b , and c in the quadratic function p(x)=ax2+bx+c such that p(2)=6, p'(2)=2, p"(2)=3
  5. Calculus

    For what values of x with 0¡Üx¡Ü2¦Ð does the graph of f(x)=x+4sin(x) have a horizontal tangent?
  6. Calculus

    Show that both functions y1=e^(-2x) and y2=xe^(-2x) are solutions to the differential equation y^''+4y^'+4y=0
  7. Calculus

    Find the area of the shaded region bounded by y=7x and y=x(sqrt(22^2-x^2))
  8. Calculus

    Find an equation of the tangent line to the graph of y = e-x2 at the point (2, 1/e4).
  9. calculus

    How many integer values of a are there such that f(x)=x^+ax^2+8ax+25 has no local extrema?
  10. Calculus

    Find the complete solution to the 2nd ODE: 2y''+3y'+y=t^(2)+3sin(t)
  11. Calculus

    Find f (x) by solving the initial value problem. f '(x) = 6x^2 - 10x; f(2) = 5 f(x) =
  12. Calculus

    Find f(x) by solving the initial value problem. f '(x) = 3ex - 4x; f(0) = 10 f(x) =
  13. Calculus (Limits)

    f(x) is a function differentiable at x=1 and f′(1)=1/13. What is the limit of (x^3 - 1)/f(x) - f(1) as x approaches 1?
  14. calculus (hint?)

    f(x) is a twice differentiable function such that f(2x)=f(x+5)+(x−5)^2 What is f''(x)?
  15. Calculus

    Let f(x) = x ^3. The equation of the tangent line to f(x) at x = 5 is y=75x - 250 What is the approximation for 4.6 ^3?
  16. Calculus

    Given that f(x)= x^3 i f x≥0 x i f x<0 which of the following functions is even? I. f(x) II. f(|x|) III. |f(x)|
  17. calculus

    integrating e^1/3dx i got 3e1/3 +c pls am i right
  18. calculus

    to find value of x and discontinous 9x²-3x-2/3x²+13x-4
  19. Calculus

    6/ln[x] find the derivative... im coming up with -6/x*(ln(x))^2 but it isn't accepting the answer what am i doing wrong?
  20. Calculus

    Use integration by parts to evaluate the integral xsqrt(2x+6)dx.
  21. Calculus

    Evaluate the limit. as x approaches infinity, lim sqrt(x^2+6x+3)-x
  22. Calculus

    Use continuity to evaluate. as x approaches 2, lim arctan((2x^2-8)/(3x^2-6x))
  23. Calculus (integrals)

    Find the integral:8x^7+6/(x^8+6x)^2 I got ln(x^8+6x)^2 but apparently that is wrong.
  24. calculus

    i need help with proving five steps of l hospitals rule for (ex^2-1)/x
  25. Calculus

    Consider the function f(x) whose second derivative is f''(x)=5x+2sin(x). If f(0)=3 and f'(0)=3, what is f(3)?
  26. Fundamental Theorm of Calculus

    Find the average value of f(x)=3x^2-2 x on the interval [3,6]
  27. Fundamental Theorm of Calculus

    Find the average value of f(x)=7x^{-2} on the interval [1,5]
  28. Calculus Help!!!

    Find c > 0 such that the area of the region enclosed by the parabolas y=x^2-c^2 and y=c^2-x^2 is 13.
  29. calculus

    Evaluate to four significant digits log x = 5.3027
  30. calculus

    at what point do the graph of the function f(x)=(x^2)+4x-1 have a horizontal tangent?
  31. Calculus 1

    Find all the points on the ellipse 3x^2-xy+y^2=64 that lie on the line y=3x
  32. Calculus HELP!!

    6 2 6 Let u = 4 , v = 2 , w = 2 5 3 1 Show that 2u - 3v - w = 0. Use that fact to find x1 and x2 that satisfy the equation 6 2 6 4 2 {x1} = 2 5 3 {x2} 1
  33. Calculus

    Find the critical numbers of the function. h(t) = t3/4 − 5t1/4
  34. Calculus

    write in parametric form the equation of the line that joins (1,-2) and (3,0)
  35. Calculus

    Where does the line through (1,0,1) and (3,−2,5)intersect the plane x+y+z=10? (x, y, z) =________?
  36. Calculus

    Find the distance from the point to the given plane. (1,−5,9), 3x+2y+6z=5
  37. calculus

    Use the principles of translating and reflecting to graph the function f(x)=(x-5)^3 +2
  38. calculus

    Find the equation of the tangent line to the ellipse x 2 + 4y 2 = 25 when x = 3 and y < 0. Answer 3x - 8y = 7 3x - 8y = 25 3x + 8y = 7 3x + 8y = 25
  39. calculus

    Find the area of the region under the curve y = 16 e ^{4 x} between x = -1.4 to x =1.4 .
  40. Calculus

    Can someone help me with finding the derivative of this function? y = -( csc x)2 (cos-1(1-x2))
  41. Calculus Help

    In the following x,y and (a) are all variables. Show steps please! Thank you! 1) y^2 = x^2+a^2 2) y^2+ay = x^2+ax+a^2
  42. Calculus

    Find the slope of the tangent line to the ellipse x^2/4 + y^2/16= 1 at the point (x,y)
  43. calculus

    Recall that the volume of a sphere of radius r is V(r) =4\, \pi\, r^3 /3. Find L, the linearisation of V(r) at r=50
  44. Calculus

    Find the polynomial end-behavior asymptote in the graph of f(x)=(2x^3 +6x-1)/(x+2)
  45. Calculus II

    using integration by partial fraction, prove that pi + integral from 0 to 1 of x^4(1-x)^4/1+x^2 = 22/7
  46. Calculus II

    the gamma function r(x) is defined by r(x)= integral from 0 to infinity of x^n-1(e^-1)dx. find r(1), r(2), r(3)
  47. Calculus

    Evaluate ∫(2x^3/√(1-x^4))dx I can't figure out what u and du is... please help thanks
  48. calculus help

    find y' and y'' for the equation below. Show work please!!! y= (x^3)/((x+1)^2)
  49. Calculus

    Limit as x approaches 0 of x(1-cosx)/t-sinx. Confused on how to get this answer.
  50. calculus

    x(t)=3t^3-40.5t^2+162t find where object is speeding up or slowing down
  51. Calculus Please Help3

    Find the area of the region. 2y=3sqrtx, y=5 and 2y+2x=5 ty
  52. calculus help

    find the derivative of the function. integral cos(x) to sin(x) ((ln(8+3v))dv)
  53. calculus help

    find the derivative of the function integral from cosx to sinx (ln(8+3v)dv)
  54. calculus

    Find the interval of convergence of the series. ∑(sinx/10)^n
  55. calculus

    Identify the open intervals) where the function f of F(x)= x√10-x^2 is increasing.
  56. Calculus

    Compute the absolute and relative errors in using c to approximate x. x=e;c=2.68
  57. Calculus

    Given f(x) = csc^4(5x^2-3x+1), find f'(x). Show all work.
  58. Urgent Calculus Help 2

    Find the equation of the tangent line to the graph of f(x) = 6x ln(x + 4) at x = 2.
  59. calculus 2

    use the simpsons rule with n=10, arc length y=^3√x, for 1<=x<6
  60. Calculus

    use the simpson's rule with n=10 to estimate arc length of y=x^(-1/3), for 1<=x<6
  61. Calculus-Math

    Complete the table. y = f(g(x)) u = g(x) y = f(u) y = (x + 18)^(-1/2) u = ? y=? Use the chain rule.
  62. Calculus-Math

    Find the derivative of 4 sec^7 (πt − 6)?
  63. calculus

    How to find the x and y coordination of all inflection points? f(x) = x^4- 12x^2?
  64. calculus

    Find the derivative of (6x^2+4y^2)/(3x+7y)=3 using implicit and quotients rule. Thank you!
  65. Calculus

    Simplify the expression cot (cos−1(x)). Not sure how to do this.
  66. calculus

    Find the linear approximation of f(x)=\ln x at x=1 and use it to estimate ln 1.12. L(x)= . ? ln 1.12 \approx ?
  67. Calculus

    Use the product rule to find the derivative of the following. k(t)=(t^2-4)^2 k'(t)=
  68. Calculus

    1. On what interval is the function f(x)=x^3-4x^2+5x concave upward? My answer: (4/3, infinity) ?????
  69. calculus

    find the derivative of the function y=log absolut power 2-x
  70. Calculus

    can you please explain the chain rule in simple terms. thank you
  71. Calculus

    can you show me how to solve an equation using the chain rule
  72. Calculus

    did i use the chain rule correctly? y=(8x^4-5x^2+1)^4 d(f(x)/dx =d/dx ((8x^4-5x^2+1)^4) =4*(8x^4-5x^2+1)^3*d/dx(8x^4-5x^2+1) =4*(8*d/dx(x^4)-5*d/dx(x^2))*(8x^4-5x^2+1)^3 =4*(8*4x^3-5*2x)*(8x^4-5x^2+1)^3 =4*(32x^3-10x)*(8x^4-5x^2+1)^3
  73. Calculus

    Find the general indefinite integral ∫ v(v3+5)2dv
  74. Calculus

    6) Evaluate the indefinite integral. ∫cosx/(7sinx+35)dx
  75. Calculus

    Determine the limit as x approaches 1 f(x) if f(x)={3-x, x does not equal 1 and 1, x=1 A. 2 B. 1 C. 3/2 D. DNE E. None of these
  76. Calculus

    Find limit as x approaches -1 (x^2+2x+3)/(x^2+1) A. 0 B. 1 C. Infinity D. DNE E. None of these
  77. Calculus

    Find the limit as x approaches 0 [(sqrt(x+9))-3]/x A. 0 B. 1 C. Infinity D. 1/3 E. None of these
  78. Calculus

    Find limit as x approaches -1 (x^2+2x+3)/(x^2+1) A. 0 B. 1 C. Infinity D. DNE E. None of these
  79. Calculus

    Determine the equation of the normal line y=x^2+5 at the point (2, 9) I got y= 4x+1
  80. Calculus POwer RUle

    If the slope of the curve y=−kx^3+ 3k at x=-2 is 3, then what is the value of k?
  81. calculus

    Please i need help with this. Find the area bounded by the curves y0…5 - 4x = 0, 2x - y - 4 = 0
  82. Calculus

    Integration with trig functions Integral of [(1-sinx)/cos^2x] dx
  83. Calculus

    Calculate the area of the bounded region between the curves y^2=x and 3y = -3y + 9 ?
  84. Integral Calculus

    How to determine the order and degree of this differential equation, (y''')^2-2(y')^6=x-2
  85. Calculus

    For how many values of x will the tangent lines to y=4sinx and y=x^2/2 be parallel? A. 0 B. 1 C. 3 D. 4 E. Infinite
  86. Calculus

    For how many values of x will the tangent lines to y=4sinx and y=x^2/2 be parallel? A. 0 B. 1 C. 3 D. 4 E. Infinite Thanks.
  87. Calculus

    Determine the slope of the tangent to the function f(x)=5e^x - 2e^(2x) at the point with x-coordinate x=1
  88. CALCULUS

    Consider the function f(x)=9x3−4x5. Let F(x) be the antiderivative of f(x) with F(1)=0. Then F(4) =
  89. Calculus

    find the area of the region bounded by the curves y=x^2-1 and y =cos(x)
  90. Calculus

    If 3(a,3,2)-2(3,b,b)=(-3,1,-2) determine a and b. Describe the set spanned by the vectors. I don't know how to answer this
  91. calculus

    Use table of integrals to evaluate the integral of x^4 sinxdx.
  92. Calculus(URGENT PLS!!!)

    Find the integral of (e^cosx)sinx
  93. Calculus

    Solve the following differential equation with initial conditions: y"=e^(-2t) + 10^(4t); y(0)=1, y'(0) = 0
  94. calculus

    find the derivative of the function at the given number F(x)= 1/ √x at 4
  95. Calculus

    Let f : R --> R be an odd function. Explain why, for any positive number a, the integral from -a to a of f(x) = 0.
  96. Calculus 1

    True or false. Explain. The line x=1 is a vertical asymptote of f(x)=(x^2+x-2)/(x^2-1)
  97. Calculus

    Find the integral of x/cos^2(x^2)dx The answer is 1/2 tan (x^2) + C. Where does the 1/2 come from?
  98. Calculus

    Givenƒ(x) = ex, verify that lim h->0 (e^x+h - e^h)/h + e^x and explain how this illustrates that ƒ′(x) = ln e • ƒ(x) = ƒ(x)
  99. calculus

    a particle moves according to the law a=1/t √t. if s=8 when t=1. and s=16 when t=4. find v when t=9.
  100. calculus

    Find the equation of the curve for which y'=3x² and which passes through (1,-1).
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