Pre- Calculus

21,880 results, page 95

  1. Calculus

    Evaluate the integral by interpreting it in terms of areas. bounds from -1 to 0. 3+sqrt(1−x2) dx
  2. Calculus

    Find a formula for the derivatives of the function m(x)=1/(x+1) Please help.....Any assistance would be greatly appreciated.
  3. Calculus

    If b is a positive constant, find the average value of the function f defined by f(x) = x2 + bx + 1 on the interval [-1,1]
  4. calculus

    Find the equations for the lines tangent to the ellipse 4x^2+y^2=72 that are perpendicular to the line x+2y+3=0
  5. Calculus

    The following Summation 1 2 1 2 1 2 ------ x - + ------ x - + ------ x - 1+(2/n) n 1+(4/n) n 1+(6/n) n is a right Riemann sum for this integral ç f(x)dx With subintervals [1,3] can someone help me solve for the inegrand which is f(x).?
  6. Calculus

    Could anyone please help me figure out the discontinuity that is removable of the following function?? Any help would be greatly appreciated! Thanks in advance!!! f(x)=4x/x^2+x-2
  7. calculus

    Find the general indefinite integral ∫cosxsin^4xdx
  8. calculus

    Find the center of mass in the 1st quadrant of the circle x^2+y^2=4 where rho(x,y)=k(x^2+y^2) Thanks.
  9. Calculus

    Find the vector and scalar equations of the plane containing the line r=(3,5,1)+t(-2,3,1) and the point (1,2,3)
  10. Calculus

    Find al points where tangent lines to: (x^2+y^2)^(3/2) = sqrt(x^2+y^2) + x is either horizontal or vertical.
  11. Math-Calculus

    Posted question rewritten lim x-> -1 108(x^2+2x)(x+1)^3 ____________________ (x^3+1)^3 (x-1)
  12. Calculus

    Design an Advanced U substitution problem whose answer must be exactly 6 and can be solved without using calculator?
  13. Calculus

    for a normal curve what percentage of values falls beyond two standard deviations from the mean
  14. CALCULUS-plz!!!!

    Find derivative w/ respect to x: y=x^5/(1-x)ã(x^2+2) (hint: there is an easy way and a hard way!)
  15. business calculus

    For the function f(x) = 1/(x2+14x-42) there are two vertical asymptotes. Determine the x-coordinate of each one
  16. Calculus

    Solve without a calculator. cos(arcsin (3x/2)) I made a triangle but im stuck after that..
  17. Calculus

    determine the each resultant a) 10 km/h north followed by 8 km/h west b) 25 N at 10 degrees to the horizontal and 30 N horizontally.
  18. Calculus

    Determine the equation of the tangent line to the curve y = 2x²-1 at the point where x = -2
  19. Calculus

    Ba has a half-life of 283.2 hours. How long would it take for the 50 mg of Ba in a sample to decay to 1.0 mg?
  20. Calculus:)

    Find the area of the region enclosed by y−2x^2≥0 and |x|+|y| ≤ 1
  21. calculus-help.. .Me

    if y=e^(-kt)[Acosh(qt)+Bsinh(qt)] where A,B,q and k are constant show that d^2y/dt^2+2kdy/dt+(k^2-q^2)y=0 step plz thanks
  22. Calculus

    Using the equations R(x)=-x^2+400x and C(x)=x^2+40x+100, find the Maximum Revenue
  23. Calculus

    What is the connection between improper integrals, Riemann sums, and the integral test?
  24. Calculus

    Find the area of the region enclosed by y−2x^2 ≥ 0 and |x|+|y| ≤ 1
  25. calculus

    Find the area of the region bounded by the graphs of the algebraic functions: f(y)=y^2+12 g(y)=0 y=-12 y=13
  26. calculus

    What are the dimensions of a rectangular field of area A that requires the least amount of fencing.
  27. calculus

    use the comparison test to determine whether the series is convergent or divergent ∑ n=1 1/n^n
  28. calculus

    given f(x)=sqrt(x). find the distance of the point P(2,5) from the line tangent to the functions at x=4.
  29. Calculus AB

    The average value of a continuous function f(x) on the closed interval [3,7] is 12. Whats the value of ∫ from [3,7] f(x) dx?
  30. calculus

    find the equation of the curve for which y''=(12/x^3) if it passes through (1,0) and is tangent to the line 6x+y=6 at that point.
  31. Calculus

    Determine if the planes in each pair are parallel and distinct or coincident. a) 5x - 2y + 4z = 7 5x - 2y + 4z = -3 b) 7x - 3y - z = 9 21x - 9y - 3z = 27
  32. Calculus

    Find the area of the region bounded by y=x^4/3-4 , the x-axis,x=-1 , and x=1 .. Search tips:
  33. Calculus

    Find an equation of the tangent line to the curve at the point (1, 1/e). y = (x^3)(e^−x)
  34. Calculus I

    Using Newton's Method, determine the first approximation to the solution of: e^(4x)= 10-2x starting with x=0 what is x1= ??? P.S. ( the 1 is a subscript )
  35. Calculus

    Evaluate as limit approaches 0. (Without using l'hopital's rule. ( Sqrt(4+sin(x))-2 ) / (3x)
  36. Calculus

    Find the x-coordinates of all points on the graph of y=x^3 - 4x^2 + 5x at which the tangent line is horizontal.
  37. Calculus 1

    Find an equation of the tangent line to the curve y = 6/(1+e^−x)at the point (0,3).
  38. Calculus

    Find the quadratic polynomial g(x)=ax2+bx+c which best fits the function f(x)=7x at x=0, in the sense that g(0)=f(0), and g'(0)=f'(0), and g''(0)=f''(0).
  39. Calculus

    Find the slope of the tangent line to the curve (a lemniscate) 2(x^2+y^2)^2 = 25(x^2-y^2) at point (-3,-1).
  40. Calculus

    Find an equation of the tangent line to the given curve at the specified point: y=sqrt(x)/x+1, (4,2/5)
  41. Calculus

    find the volume of the solid formed by rotating the region enclosed by y=e^(1x+4), y=0, x=0, x=0.9
  42. Calculus 1

    Use Newton's method to approximate the root of the equation x^3+x+2=0 with initial guess x1=-1 gives:
  43. Calculus

    Approximate the sum of the series correct to four decimal places. n=1 to infinity (-1)^n/4^n*n!
  44. Calculus

    How would I go about finding the limit of this sequence: (e^(2n)+6n)^(1/n) Please explain the steps, it'd be super helpful! Thanks!
  45. Integral Calculus

    Find Mx, My, and (x, y) for the lamina of uniform density ρ bounded by y=1/2x ,y>0 x=2
  46. Calculus 1

    Could you please explain how to find the slope using the definition of derivative of the function y=2*sqrt(x)
  47. calculus

    Find the exact values of x if 0<=x<=pi and 2sin^2(x)-sinx-2sinxcosx+cosx=0
  48. calculus

    Let \lambda be a positive real number. Evaluate \sin^{-1}(\lambdai)
  49. Calculus

    Use differentials (or, equivalently, a linear approximation) to estimate the given number. sqrt100.4
  50. Math/Calculus

    Find the average rate of change on the interval [-6,3] of the function h(x)=x^2-4x+7. A. -7 B. 7 C. 1 D. 13 E. -5
  51. 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.
  52. Calculus II

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

    The region between the graphs of y=x^2 and y=6x is rotated around the line x=8. The volume of the resulting solid is?
  54. Calculus

    Given f(x) = cubed root of x^2 (2x+5)^3, find the critical numbers after you identify the domain.
  55. calculus

    Find the exact area of the region bounded by the -axis and the graph of (x^3)-x
  56. math calculus 2

    Find the area of the region RR bounded by y=sin(x), y=cos(x), x=−π/3, x=13/6.
  57. Calculus III

    Use the cross product to find the area of the triangle with vertices: P=(1,1,5) Q=(3,4,3) R=(1,5,7)
  58. Calculus

    What are the x-coordinates of the points of inflection for the graph of f(x)sin^2x on the closed interval [0,pi]?
  59. HELP CALCULUS

    Find dy/dx by implicit differentiation. tan−1(4x2y) = x + 3xy2
  60. Calculus

    Find a forula for the following function. A line with slope 5 and x-intercept 10 is the answer y(x)= 5x-50
  61. calculus

    Given the function: y = 2 - x - x^3 use limits to find the slope (and then the equation) of the tangent line at x =2.
  62. Calculus

    f(x)=(-9x3–5x2+4x–2)/(–7x2–9x+7) What is the smallest value of x at which f(x) intersects its non-vertical asymptote?
  63. calculus

    Evaluate the following line integral: ∮C[(4x^2+3x+5y)dx+(6x^2+5x+3y)dy] where C is the path around the square with vertices (0,0),(2,0),(2,2) and (0,2).
  64. Calculus

    Find the equation of the line that is tangent to the curve x(t) = t^2+1 and y(t)=t^3-1 at the point (5,7). I get a slope of 7.5.
  65. Calculus

    What is the 4 step process when finding the slope of the tangent line at any given point?
  66. Calculus grade 12

    Explain why three directional vectors of the plane cannot me mutually perpendicular .
  67. Calculus 1

    y= 3/x^3; [1,3] Find the area under the graph of the function over the integral given. The book answer is 4/3
  68. calculus

    I am having trouble with this problem also derivative differentiate f(x)=(3-x)^4(x+5)^3 so far I have 4(3-x(x+5)^3+3(x+5)(3-x) Not quite right. Treat it as d/dx[u(x) + v(x)] = u dv/dx + v du/dx u(x) = (3-x)^4 v(x) = (x+5)^3 du/dx = -4(3-x))^3 (using the chain rule) dv/dx = 3(x...
  69. calculus

    P2 has a mysterious inner product * for which {x+4, 3x-5} is an orthonormal basis. IS there enough information to tell what is the length of 1? If so, compute it. If not say why not.
  70. calculus

    Let f (x) = 5 - x/2. What is the value of the Riemann sum R(f ,0,8), obtained by using four rectangles and left-hand endpoints?
  71. calculus honor

    If y = 2x3 – 4x and , find when x = 1. Give only the numerical answer. For example, if = 3, type only 3.
  72. Calculus

    find the equation of both the tangent lines to the ellipse x^2+9y^2=81 that pass through the point (27,3)
  73. calculus

    Find an equation of the tangent line to the curve at the given point y = x + cosx, (0,1)
  74. calculus

    present value of 450$ in 6 years with a 9.5% discount compounded semi annually
  75. Applied Calculus

    Find the derivative of this function: g(t)=(8t+10)^2*(10t^2-7)^-3 Using the Chain Rule.
  76. calculus

    Evaluate the following line integral: ∮C[(4x^2+3x+5y)dx+(6x^2+5x+3y)dy] where C is the path around the square with vertices (0,0),(2,0),(2,2) and (0,2).
  77. calculus

    given the function f(x)=x^3 defined for 0<x<1 evaluate the lower & upper Riemann sums.
  78. Calculus

    I'm not sure what to substitute in this question. Evaluate the integral Square root (tan^-1(x)) / (x^2+1)
  79. Calculus

    Does x^4 * e^x have a horizontal asymptote? Take the derivative to see if slope is zero. dU/dx = x^4 * e^x = 4x^3 * e^x + x^4 * e^x So, what happens as x approaches neg large ?
  80. calculus

    Given the function y = 2 - x - x^3 Use limits to find the slope (and then the equation) of the tangent line at x = 2
  81. calculus

    use the integral test to determine whether the series is convergent or divergent ∑ n=9 1/n(ln n)^3
  82. calculus

    P2 has a mysterious inner product * for which {x+4, 3x-5} is an orthonormal basis. IS there enough information to tell what is the length of 1? If so, compute it. If not say why not.
  83. Calculus

    Assume v(t) = 6t - 18 on the interval [0, 6]. Find the total distance that the object traveled on [0, 6].
  84. Calculus

    What's the integral of e^(1+i)x dx? Please provide the full solution because I don't understand how to do this question at all.
  85. calculus

    Use the instantaneous rate of change of f(x) = e^(5x) to find the equation of the tangent line to f(x) at x = 0.
  86. calculus

    If f(2)=-3, g(x)=f^-1(x), what is the equation of the tangent line to g(x) at x=-3? I don't know how to find g(x), if you can help me with that, then I think I can do the rest of the problem
  87. Calculus

    How do you take the derivation of the following function and equate to zero? sqrt of (100t^2-320t+400).
  88. Calculus

    Suppose that f (x) is a function such that the relationship given below is true. f (3 + h) - f (3) = 9h^2 + 8h (a) What is f '(3)? (b) What is the slope of the secant line through (3, f (3)) and (7, f (7))?
  89. Calculus

    Decide whether to integrate with respect to x or y. Find the area of the region. y=e^2x y=e^6x x=1 I have no idea what to do
  90. calculus

    Find the area of the region cut from the first quadrant by the curve r=2(2-sin2ɵ)½
  91. Calculus

    The integral from 1 to 5 of 1/x^2*(times) the square root of 1+(1/x)dx. i've had tried this problem over and over again and cannot get the correct answer. Please help. thanks
  92. calculus

    the equation cosx=x has a solution in what interval?...the answer is given as [0,pi/2] can someone please explain why?? thnks
  93. Calculus

    Use implicit differentiation to find dz/dy for yz = ln (x+z) I am unsure of how to deal with the right side specifically.
  94. Calculus

    Find the particular solution that satisfies the intial condition: xdy - (2xe^(-y/x)+y)dx = 0
  95. calculus 1

    find the total area between the curve ( y= 4-x to the second power) and the x-axis over the interval [-3,7]
  96. Calculus

    Solve the equation (3^x)^2-12*3^x+27=0 Simplify and write without negative exponents: 3^2(x^-2y^3)^3/4^1/2*x^-4cuberooty^2
  97. Calculus

    Find the derivative for k(x) = (5x4 + 2)(3sin x). Would this be the answer: (60sinx)x^3+ (15cosx)x^5+ 2
  98. AP calculus

    Find values for x and/or y on the graph of x^2-2y^2+9x+8y-276=0 for which there is a vertical tangent line
  99. basic calculus

    find a appropriate formula for the area of a narrow circular ring
  100. 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?
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