Pre- Calculus

21,837 results, page 96

  1. calculus

    use a sign chart to solve inequality. Express answers in interval notation. x^2+6<2x
  2. Calculus

    write and row reduce the augmented matrix to find the general solution. x + y - z = 7 2x - y - 5z = 2 -5x + 4y + 14z = 1 3x - y - 7z = 5
  3. Calculus II

    Solve the initial value problem using Taylor Series and the following conditions: y'(t) = y(t) + 2t y(0) = A
  4. Calculus

    Use Simpson's Rule with n = 10 to estimate the arc length of the curve. y = tan x, 0 < x < π/9
  5. Calculus Help

    Find the derivative of the following function showing your work and fully simplifying your answer. f(x)=(8x-3)^5/(6x+7)^12 Thank you!!!
  6. AP Calculus

    Approximating the integral from 0 to 6 of (e^x dx) by 3 circumscribed rectangles of equal width on the x-axis yields ____. a) 2e^2 + 4e^4 + 6e^6 b) 2(e^2 + e^4 + e^6) c) 2(e + e^3 + e^5) d) e + 3e^3 + 5e^5 e) e^2 + 3e^4 + 5e^6
  7. Calculus

    If position is given by p(t)=t^2 +1, find the velocity v(t) at t = 2. I'm completely lost as to where to even start with this problem.
  8. Calculus

    At what interval is e^(-5x^2) concave up? I know the second derivative is 100x^2*e^-5x^2-10*e^-5x^2 but I just can not figure this one out. Thank you for your help!
  9. Calculus Help Please

    Use a linear approximation (or differentials) to estimate the given number. (1.999)^4
  10. Calculus II

    the gamma function r(x) is defined by r(x)= integral from 0 to infinity of x^n-1(e^-1)dx where n>0. Use integration by parts to show that r(n+1)=nr(n).
  11. Calculus

    What are two conditions that must be met before the Extreme Value Theorem may be applied?
  12. Calculus

    Use the alternate definition, lim x->a f(x)-f(a)/x-a, to determine the instantaneous rate of change of f(x)= 1/x at the point (1,1/5) a)1/5 b)-1/5 c)1/25 d)-1/25
  13. Calculus Please Need Urgent2 :/

    Consider the function f(x) whose second derivative is f''(x)=8x+4sin(x). If f(0)=3 and f'(0)=2, what is f(x)? f(x)=??
  14. calculus

    Compute the limit of the partial sums to determine whether the series converges or diverges. 1)6 + 4 - 4 + 4 - 4 + 4 - 4 +...
  15. Calculus

    1.a)Determine dy/dx if y= sqrt[(3x^2+2)^3] For this question, I got 9/2x(3x^2+2)^1/2 as my answer. b)State any values of x for which the function is not differentiable
  16. calculus

    find the volume of solid inside the paraboloid z=9-x^2-y^2, outside the cylinder x^2+y^2=4 and above the xy-plane
  17. calculus please help!

    Find maxima and minima and points of inflection. f(x) = 2x^3 - 3x^2 -36x +100 on the interval [-6,4]
  18. Calculus

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

    find the extreme values of the function and where they occur y=1/(sqrt 1-x^2). So far I have y'=x/((1-x^2)(1-x^2)^(1/2)) but I am stuck.
  20. Calculus

    State the cartesian equations of two lines that make angle of 60 degrees with the line r=(1,3)+s(1,1)
  21. Calculus-Math

    Complete the table. y = f(g(x)) u = g(x) y = f(u) y = (2x − 4)^7 u = y= This problem involves the chain rule of derivatives.
  22. Calculus-Math

    f(x) = (1/2)x ln(x^6) (−1, 0) (a) Find an equation of the tangent line to the graph of f at the given point. y=
  23. math calculus 3

    find a formula for a function g( x,y,z) whose level surfaces are planes parallel to z=3x-2y+7
  24. calculus

    Find the interval [a, b] on which the function f(x) = 2 x3+3 x2−12 x+3 is decreasing. Enter your answer as: [a, b] for some constants a, b.
  25. Calculus

    Find the equation of the tangent to the curve y=3x^2+4x which makes a 45 degree angle with the negative x-axis
  26. Calculus

    Integrate sqrt(x^2 + x) dx I have completed the squares and got x^2-x = (x+1/2)^2 -1/4 Now i don't know how to proceed, plz help me!
  27. calculus

    Use iterated integral to find the area enclosed by r=2sin2(theta). How do i graph this?
  28. calculus

    How do I use the product rule to find the derivative of the following. y=(x+1)(3square root x+7) y'= Please help
  29. Calculus

    Find the equation of the line tangent to the function f(x)= square root of (x^3 + 4x) through the point (2,4)
  30. Calculus

    Find the derivative of y=xe^-x^2. Is the x being multiplied by (e^-x^2)? Product rule? I don't understand how to approach this problem.
  31. Calculus

    Find an equation of the tangent line to the graph of f(x)=xsinx when x=0. A. y=0 B. f'(x)=0 C. y=xcosx+sinx D. y=x E. None of these
  32. Calculus

    Estimate the area under the graph of f(x)= x^2 + 2 x from x=1 to x=5 using 4 approximating rectangles and left endpoints.
  33. calculus, help!

    Evaluate the definite integral: int_{1}^{e^9} \frac{dx}{x \sqrt{\ln x}} = i gt my answer as 1^(e^9) but it's saying it's wrong
  34. Calculus

    The function h(x) = x^3+bx+d has a critical point at (2,-4). Determine the constants b and d and find the equation of h(x). Show your work.
  35. Calculus

    Find the volume of the solid obtained by rotating the region bounded by y=8x+24, y=0 about the y-axis.
  36. Calculus Chain rule

    y = (6x^2-6)^4/x I would appreciate it more if work was shown. Thank you (I have the answer but want to know how to do it)
  37. Calculus

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

    Use implicit differentiation to differentiate y=x^(8/37), by writing it as y^37=x^8. Express your answer only in terms of x.
  39. Calculus

    How can I solve this using Log differentiation? I'm not sure how to even start it. y=(cos(x)(x^2+9)^(2/3)/(sqr(x^3+2))
  40. math

    Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. g(x) = e^(3t^2) − 3t dt from 4 to x
  41. Calculus

    Find the volume of the solid obtained by rotating the region bounded by y= x^2, y=0, and x=3 about the x-axis.
  42. Calculus

    Find the volume of the solid obtained by rotating the region bounded by y= x^(1/3), and y= x about the line y=1
  43. Calculus

    Find the volume of the solid obtained by rotating the region bounded by y= x^2, y=0, and x=3 about the x-axis.
  44. Calculus

    Find the volume of the solid obtained by rotating the region bounded by y= x^(1/3), and y= x about the line y=1
  45. Calculus

    Let f for all Real numbers, be an odd function. Explain why, for any positive number a, the integral from -a to a of f(x) = 0.
  46. Calculus 1

    Find the exact value of each expression. (a) tan(sec^−1 5) (b) sin(2sin^-1(5/13))
  47. Calculus

    Let R be the interior of the circle 4x2 + 4y2 −4x = 0. Evaluate double integral sqrt(x^2+y^2)
  48. calculus

    The position of a particle is given by the equation of motion s(t)= 1/(1+t)where t is in sec and s in meters find the velocity.
  49. Calculus

    Find the surface area of the part of the sphere x2+y2+z2=81 that lies above the cone z=√(x2+y2)
  50. calculus

    Use implicit differentiation to find the slope of the tangent line to the graph of 18*x^(1/2)+5y^(1/2)+14 at(81/324,1)
  51. Calculus

    (3) Suppose that f : R2 → R is a continuous function at x0 ∈ R2 and that |f(x0)| > 2. Show that there is a $ > 0 such that |f(x)| > 2 whenever ||x − x0|| < $.
  52. calculus 2

    Sketch the region enclosed by the given curves. Find its area. y=7cos pi x, y=12x^2-3
  53. Calculus

    What is the derivative of f^3(g(x)) where both are continuous functions? I used chain rule and got 3f^2(g(x))f'(g(x))g'(x) but it is not right.
  54. Calculus

    Given the table below for selected values of f(x), use 6 trapezoids to estimate the value of x 1 3 4 6 7 9 10 f(x) 4 8 6 10 10 12 16
  55. Calculus

    Which of the following is the general solution of the differential equation dy/dx = 2x/y? y2 = x2 + C y2 = 2x2 + C <- my answer y2 = 4x2 + C x2 − y2 = C
  56. Calculus

    Find the specific solution of the differential equation dy/dx = 4y/x^2 with condition y(−4) = e. y= -1 - 4/x <- my answer y=-1*e^(1/x) y=e^(-4/x) None of these
  57. Integral calculus

    find the work required to pull up the anchor if the cable weighs 20 lb/ft in water
  58. Integral calculus

    find the work required to pull up the anchor if the cable weighs 20 lb/ft in water
  59. Calculus

    Determine whether the hypotheses of the Intermediate-Value Theorem are satisfied. f(x)=x^1/3 , [a,b]=[-1,1] Please, explain. Thank you.
  60. mathematics-calculus-derivatives

    . Try this. If y=cosx find dy/d5x please show workings #thanks
  61. Calculus

    Evaluate as limit approaches 0. (Without using l'hopital's rule. ( Sqrt(4+sin(x))-2 ) / (3x)
  62. calculus sir damon help me or steve

    integrate dx/root(coshx-1) plz show step
  63. Calculus

    Find the absolute maximum and minimum values of the function f(x)=3(x-2)^(2/3)+5 on the interval [1,10]? I'm not sure how to do this. Please help.
  64. Calculus AB

    Without using a calculator, what is the exact value of sec(arctan(12/5)) - sin(arccot(3/4))
  65. Calculus AB

    One of the equal angles of an isosceles triangle is 55 degrees. If the base is 20 cm, what is the perimeter and the area?
  66. Calculus1

    find the derivative using fundamental theorem of calculus integral of sin^3tdt from e^x to 0
  67. Calculus with analytic geometry

    What is the range and domain, x and y intercepts, symmetry and asymptote of this given equation, f(x) = 2x^2 - 8 / x-1
  68. calculus

    Find all first and second partial derivatives of z with respect to x and y if x^2+4y^2+16z^2−64=0.
  69. calculus need help

    If 3ay^2=x(x-a)^2 with a>0, prove that the radius of curvature at the point (3a, 2a) is 50a/3. Help with working plz
  70. Calculus

    Construct a function f : R 2 ¡æ R such that its saddle points are given by {(n, 2m+1−n)|n ¡ô Z, m ¡ô Z}, where Z is the set of integers.
  71. Calculus

    Find the volume of the solid under the plane 3x + 3y − z = 0 and above the region bounded by y = x and y = x^4
  72. Calculus

    I need help determining whether the following functions are even, odd, or neither. Please help me. 1. f(x)=4x+5 2. f(x)=x^3-x-2 3. f(x)=x^4-x / x^5-x 4. f(x)= x^3-x / x^5
  73. Calculus - Special sum formulas

    Find the formula of n Σ (j+3)(j-4) j=1 I have gotten to n(n+1)(2n+1)/6 - n(n+1)/2 - 12n How do I simplify it from there?
  74. Calculus

    Given 4∫8 (4 on top, 8 on bottom) f(x)dx= 12 and 4∫8 g(x)dx= 5. Evaluate the following: 4∫8 [2f(x)-3g(x)]dx Would I just put 12 in for f(c) and 5 in for g(x) then solve?
  75. calculus

    Find the domain of the vector-valued function. r(t) = sin ti + 4 costj + tk plz help me working
  76. Calculus

    Find all values of c that satisfy the Mean Value Theorem for integrals for f(x)= x^{2} on the interval [-3, 3]
  77. Calculus

    Find the average value of the function defined by f(x)= x^2 sin 3 x^3 on the interval [0, 3rd Root (pi)]
  78. Calculus - Integrals

    The region bounded by y=x^2, x=y^2 is rotated about the line y=-3. The volume of the resulting solid is:
  79. Calculus

    What would the smallest positive integer be for n if: y=sinx and y^(n) means the nth derivative of y with respect to x.
  80. calculus

    A rectangle has an area of A. Find the dimensions that minimize the perimeter. Show that it really is a minimum.
  81. Calculus

    What is the largest possible product of two non-negative number whose sum is 1
  82. Calculus

    Piecewise function x if −2≤x≤0; x^2 if −2<x<0; 8-x. If if −2≤x≤3; (d) Write down an analytic formula for f^{-1}, and state its domain and range.
  83. Calculus

    Let F(x) = (x+1) / (x^2-16). Use the definition of the derivative to compute f'(x) and give its domain. Show all steps.
  84. Calculus

    For which values of x does the curve Y= (3x^3-3x^2+1) / (2x^2-1) , have a horizontal tangent? Show steps or explain, i dont get it
  85. Calculus for Business Administration and social s

    Simplify the cubed root of 432x to the 12th power
  86. Calculus - Derivatives

    Use implicit differentiation to find the second derivative y'' of the function given. x^2 + 5y^3 = 8
  87. calculus

    Find the derivative of (3x+17)^13 (14x+6)^11x^-4/5 / (20x +3)^-9 using logarithmic differentiation. Assume x > 0.
  88. Calculus

    Solve the following initial valued problems: a) g′(x) = sin(x), g(π) = 2. b) g′′(x) = 18x, g′(0) = 1 and g(0) = 5. b) g′′(x)=12x2 +2,g′(1)=7andg(1)=3.
  89. calculus

    Find the exact area of the surface obtained by rotating the curve about the x-axis. y=((x^3)/4)+(1/3X), 1/2≤X≤1
  90. calculus please help!!

    Find the range of the function F(x)= definite integral from [-6,x] of sqrt(36-t^2)dt. [0, 36π] [0, 18π]*** [-6, 6] [-6, 0]
  91. calculus

    Find the constant a such that the function is continuous on the entire real line g(x)=x^2-a^2/x-a if x doesn't equal a 6 if x=a
  92. CAlculus

    Find the linear function satisfying the given conditions. g(2) = 9 and the graph of g is perpendicular to the line 4x − 2y = 3. g(x) =
  93. Calculus

    How do you find the original function given the equation of a tangent line and two points?
  94. Calculus 2

    Determine the first three terms of the power series representations for the following functions: a) 2/(1+x)^3 b) 1/1+x^2 c) ln(1+x)
  95. Calculus

    Find the length of the parabola y^2=4ax cut off the line x=a about the x-axis
  96. Calculus

    Show that volume of the solid generated by revolving y=1/x between x=1,2x=infinity about x-axis
  97. calculus

    Express the following as a product containing only sines and/or cosines. sin9x−sin7x
  98. 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?
  99. calculus

    For f(x) = e^cos(x) use your graphing calculator to find the number of zeros for f '(x) on the closed interval [0, 2π]. A 1 B 2 C 3 D 4
  100. AP Calculus Help

    The position of a particle is given by r(t)=(t+cos(t/2), -3sint). What is the particles velocity vector when t=pi? a)v=<0.5, -3> b)v=<2, -3> c)v=<0.5, 3> d)v=<1.5, 3> e)v=<2, 3> Thank you so much!!
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