Pre- Calculus

21,887 results, page 99
  1. 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
  2. Calculus

    I am having great difficulty with this any help would be appreciated. Write this expression in the form e^kx for a suitable constant k.? (e^4x * e^6x)^3/5, 1/e-2^x
  3. 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:
  4. calculus

    solve the following inequality. write your solution in interval notation. x^3+9x^2-108 less than or equal to 0
  5. calculus

    find the area of a rectangle bounded by the axes and one of its corner is a point in a curve y=1/x.
  6. calculus

    Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider using it. lim x→0 (e^x − e^−x − 2x)/(x − sin(x))
  7. Calculus Grade 12 University

    8. Find the vector equation of the line in which the 2 planes 2x - 5y + 3z = 12 and 3x + 4y - 3z = 6 meet.
  8. CALCULUS

    Find the critical numbers of each given function. (a) f(x)=3rt(x^(2)-x (b) g(x)=2sinx+2cos^(2)x, 0 <=x<=2pie
  9. Calculus

    Find the derivative of the given function w=((t^3)+8)^103 Isnt the answer 309t((t^3)+8)^102
  10. calculus 2

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

    Find the volume of the solid formed by rotating the region enclosed by y=e^(3x)+2, y=0, x=0, and x=.2 about the y-axis
  12. Adv calculus

    1. What is the maximum integer n such that 3^n is a factor of the product of all the odd inegers between 1 and 200?
  13. calculus

    Find the volume of the solid formed by rotating the region enclosed by y=e^(3x)+2, y=0, x=0, and x=.2 about the y-axis
  14. calculus

    Find the volume of the solid formed by rotating the region enclosed by y=e^(3x)+2, y=0, x=0, and x=.2 about the y-axis
  15. calculus

    Evaluate the following limit: lim x --> negative infinity 9 square root over x^2-1 divided by x + 4
  16. calculus

    Find the length of the entire perimeter of the region inside r = 16sin(theta) but outside r = 4
  17. Calculus-Derivatives

    How is 6#sin(#x-1)/cos^3(#x-1) the derivative of f(x)= 3sec^2(#x-1)? #= Pi (I coulnd't find the symbol...sorry.)
  18. calculus

    Find a point c satisfying the conclusion of the Mean Value Theorem for the following function and interval. f(x)=x^{- {6}}, \qquad[1, 2] c =
  19. calculus

    Integral High value= 4 lower value=0 f(x)dx f(x) = 2, x < 2 x, x ≥ 2 It's asking me to use geometric formulas to solve this without a shape given. What am I supposed to do?
  20. Calculus help

    f is a function that is differentiable for all reals. The value of f ′(x) is given for several values of x in the table below. x –8 –3 0 3 8 f ′(x) 5 4 0 –2 –4 If f ′(x) is always decreasing, which statement about f(x) must be true?
  21. Calculus

    Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider using it. lim (tan(7x))^x x~>0
  22. Calculus

    How do I take the indefinite integral of (5-x)/(2x^2+x-1)? I've tried splitting it into two integrals and even completing the square on the bottom but neither of those led me anywhere. Help?
  23. Business Calculus

    Evaluate each indefinite integral. Use the substitution method. X square root (x+3) dx
  24. Calculus

    y=sqrt(x)^1/x. Find dy/dx That is to the power of 1/x So to start this do I need to take Ln on both sides and then use a logarithm property? Ln(y)=lnx^1/2x?
  25. Calculus

    Find an equation of the tangent plane (in the variables x, y and z) to the parametric surface r(u,v) =(2u, 3u^2+5v, -4v^2) at the point (0,-10,-16)
  26. Calculus

    Find an equation of the tangent plane (in the variables x, y and z) to the parametric surface r(u,v) =(2u, 3u^2+5v, -4v^2) at the point (0,-10,-16)
  27. calculus

    Find the volume of the solid obtained by rotating the region bounded by y=4x^2,x=1,y=0 about the x-axis.
  28. 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)=( , )
  29. Calculus

    Find the derivative: h(x)=7x/sqrt(5-2x) Using the chain rule...I figured out my previous post.
  30. Calculus

    I need help with this problem: Let f(x)= sqrt(x-3) and g(x)=(x^2)+1 a. Compute g(f(x)) b. State the domain of g(f(x)) in interval notation. I got x-2 for a, but i do not understand b. Help please
  31. Calculus AB

    If f(x) is differentiable for the closed interval [-3, 2] such that f(-3) = 4 and f(2) = 4, then there exists a value c, -3 < c < 2 such that f(c) = 0 f '(c) = 0 f (c) = 5 f '(c) = 5 Not really sure where to start here. No textbook and my teacher
  32. Calculus

    Use the binomial Theroum to expand the expression and express the results in simplified form (3X + 2)^3
  33. 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)]
  34. Calculus - fundamental theorems

    d/dx integral e^t^2 dt from 1 to x^3 Please help. I think I'm supposed to use substitution for the x^3 and then apply the chain rule but I'm not sure how to do that.
  35. Calculus

    Represent the function f(x)= 10ln(8-x) as a Maclaurin series and Find the radius of convergence
  36. 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.
  37. Calculus

    Use algebraic manipulations to evaluate lim x->infinity for the function. f(x)=x^2+4/x+3 Is the answer 1 or interdemediate?
  38. 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
  39. Calculus

    Find the derivative of the given function at the indicated point. (use f'(a)=lim [f(a+h)-f(a)]/h as h approaches 0) This is what I have so far: [1/(x+h) - 1/2]/h = [2 - (x+h)]/(h(x+h)(2)) = [2-x-h]/(h(x+h)(2)) ...and now I'm stuck. Help? Thx
  40. Math-Calculus

    Question Details: Suppose f(3)=2, f '(3)=1/2, and f '(x)> 0 and f "(x) < 0 for all x. (a) Sketch a possible graph of f (b) how many solutions does the equation f(x)=0 have? Why? (c) Is it possible that f '(2) = 1/3? Why?
  41. integral calculus

    can anyone give me a site that best explain about the topic "work" and "center of moment"... thanks... :)
  42. Calculus

    The function f is given by f(x)=3x^2+1. What is the average value of f over the closed interval [1,3]? The answer I get is 12, but the book says it's 14. I don't understand why.
  43. calculus

    Find the area of the region bounded by the graph of y^3=x^3 and the chord joining the points (-1, 1) and (8,
  44. calculus

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

    Find the derivative of (3x+17)^13 (14x+6)^11x^-4/5 / (20x +3)^-9 using logarithmic differentiation. Assume x > 0.
  46. 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
  47. 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.
  48. Calculus

    Given f and g are differentiable functions and f(a)=-4, g(a)=c, g(c)=10, f(c)=15 f'(a)=8, g'(a)=b, g'(c)=5, f'(c)=6 If h(x)=f(g(x)). find h'(a)? i'm not really sure how to get the answer. g'(a)=b, f'(b)=? How do i go about doing this. My reasoning must be
  49. calculus

    Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) (11)/(x^3-125) dx
  50. calculus

    Solve for all real values of x. 3tan^2x = 3^1/2 tan x I have no idea how to approach this problem.
  51. calculus

    Find the area of the region bounded by the graph of y^3=x^3 and the chord joining the points (-1, 1) and (8,4)
  52. calculus

    Find the indefinite integral and check the result by differentiation. ∫((t^3/3)+(1/4t²)dt
  53. calculus

    Find the indefinite integral and check the result by differentiation. ∫u²√(u^3+2) du
  54. Calculus grade 12

    Determine the equation of the tangent line to the function f(x) = x + Sinx at x = pie
  55. Calculus grade 12

    Determine the derivative of each function A1) y = e^x(Sin²x) A2) y = e²Sin²x B1) y = (x³ + 1)e^-2 B2) y = (x² + 1)e^-2 C) y = x²(theta^Sinx)
  56. Calculus 2

    The question is: n=0 E to infinity 4+sin(n)/3^n Does it converge or diverge? i'm doing this hw problem and I believe it converges according to other example? Is this the case?
  57. calculus

    find the following derivatives: f(x) = (2x+5)/(x^2-3) f'(x)= (2)*(x^2 -3)-(2x+5)*2x/(x^2-3)^2 is that correct??? f(x)= (lnx)(cos x) f'(x)= 1/x*-sinx or do i have to use the product rule?? thank you.
  58. calculus 2

    Use euler's method with step size 0.2 to estimate y(1), where y(x) is the solution of the initial-value problem y'= -3x+y^2, y(0)=1
  59. Calculus

    Find the slope and y-intercept of the line through the point (6,2) that cuts off the least area from the first quadrant.
  60. Calculus (AC)

    Steve, you've been an amazing help. Thank you so much. This is the last question I need checked. Solve ∜82 using differentials. I got 3.00926
  61. Calculus

    f'(x)=sqrt(x)*sin(x) The first derivative of the f is given above. If f(0)=0, at what value of x does the function f attain its minimum value on the closed interval [0,10]?
  62. Calculus

    C(x)= 16sqrt(x) + (x^2)/1000 Find the production level that will minimize the average cost
  63. Calculus

    f(x)=(y+a) and b=the limit as y aproches 2+f is 1000 figure out a,y, and f I'm lost, but I need to know for our trimester final. I don't even know if it's possible.
  64. calculus

    Find an equation of the tangent line to the curve at the given point. y = sec x, (π/3, 2)
  65. calculus

    The table below gives selected values for the function f(x). Use a trapezoidal estimation, with 6 trapezoids to approximate the value of . x 1 1.1 1.2 1.5 1.7 1.9 2.0 f(x) 1 3 4 6 7 8 10
  66. calculus

    determine the cubic function with 1 point of inflection and no relative minima or maxima.
  67. Calculus II

    How does one obtain cos2x = cos^2(x) - sin^2(x) by differentiating the identity sin2x = 2sinxcosx
  68. Calculus II

    Find the volume of the solid obtained by revolving the graph of \(y = 16 x\sqrt{4 - x^2}\) over [0,2] about the y-axis.
  69. Math Calculus 1

    Have mercy! Find the volume of the solid obtained by rotating y=3+2x-x^2, x+y=3 about the y-axis.
  70. calculus

    How large does N have to be in order to approximate the integral of cos(x^2) from 0 to 1, using the Midpoint Rule, with error at most 10^(-6)?
  71. Calculus please help!

    The limit limh->0 ((sqrt1+h)-1)/h represents the derivative of some function f(x) at some number a. Find f and a. Please help!
  72. 12th grade calculus

    find the lines that are (a) tangent and (b) normal to the curve at the given point x^2 + xy - y^2 = 1
  73. 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
  74. Calculus

    Messed this up on my last question. Given the table below for selected values of f(x), use 6 trapezoids to estimate the value of ∫f(x)dx where a=1 b=10 x 1 3 4 6 7 9 10 f(x) 4 8 6 10 10 12 16
  75. Calculus

    Find the length of the entire perimeter of the region inside r = 16sin(theta) but outside r = 4.
  76. Calculus

    Which of the following functions grows the fastest as x goes to infinity? 3^x ln(x) e^4x x^10 I put e^4x but I thought that 3^x might have been it too. I know for sure that it is not ln(x) and x^10 because those grow much slower.
  77. Calculus

    f(x) and g(x) are a differentiable function for all reals and h(x) = g[f(2x)]. The table below gives selected values for f(x), g(x), f '(x), and g '(x). Find the value of h '(1). (4 points) x 1 2 3 4 5 6 f(x) 0 3 2 1 2 0 g(x) 1 3 2 6 5 0 f '(x) 3 2 1 4 0 2
  78. calculus 2

    Use euler's method with step size 0.2 to estimate y(1), where y(x) is the solution of the initial-value problem y'= -3x+y^2, y(0)=1
  79. calculus

    Find the equation of the tangent line to the graph of f(x)=4ln(9x+2)at the point of x-coordinate x=2.
  80. Calculus

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

    Find (dy/dx) for the following implicitly defined function: cos(x-2y) = 3y for the answer, i got.. dy/dx = (-sin(x-2y)) / (3-2sin(x-2y)) but i'm not sure if it's right..
  82. calculus

    suppose a price-demand function p(x) is defined implicitly by x= p^3-3p^2+200 find p'.
  83. 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
  84. 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).
  85. Calculus

    Use logarithmic differentiation to find the derivative of the following: y=x^x^2 x>0 Please show all steps so I can following for future understanding
  86. Applied Calculus......

    Rewrite the expression using positive exponents only. (Simplify your answer completely.) (x^3-y^3)(x^-3+y^-3)
  87. 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
  88. Calculus :)

    Find the volume of the solid formed by rotating the region enclosed by y=e^(3x)+2, y=0, x=0, x=0.4 about the x-axis.
  89. Calculus

    Find the global maximum and minimum values of f(t)=4t/(2+t^2) if its domain is all real numbers?
  90. calculus

    Find the instantaneous rate of change of y with respect to x when x = 15 for the function y = 5x2 − 2x
  91. Calculus

    I need help solving the integral of t * e^-3t dt I know that I have to solve using integration by parts and so I've let u=t to rid of dt and dv=e^-3t which I believe would yield -(1/3) * e^-3t as v. Am I doing this correctly? Thanks. I appreciate the help.
  92. CALCULUS:)

    The region between the graphs of x=y^2 and x=6y is rotated around the line y=6. The volume of the resulting solid is ____?
  93. 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.
  94. Calculus

    find all values of x for which function is differentiable. y=lnx^2 why is the answer= for all x doesn't equal 0?
  95. calculus(differentian)

    x=(6-2y²)/(1+y) differentiate with respect to y I saw this in a question here but..I don't get how the person go that answer.
  96. calculus

    find the exact arc length of the curve: y=0.5(e^x + e^-x) for 0 is less than or equal to x and x is less than or equals to ln2.
  97. Calculus

    calculate and simplify f(5+deltat)-f(5) all over delta t the model is f(t) = 7-2t+11t^2 for 3lessthanequal t lessthanequal 11
  98. 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?
  99. calculus

    using tangent half substitution show that integral of sec(x)=ln(secx+tanx)
  100. 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.