Pre- Calculus

21,911 results, page 100
  1. Calculus

    Find the x-coordinates of all points on the graph of y = x^3 - 4x^2 + 5x at which the tangent line is parallel to 2y - 10x - 7 = 0
  2. 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
  3. 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
  4. 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
  5. Calculus

    Create a function that has a graph with the following features: Two vertical asymptotes: x=1, x=3. One horizontal: y = -1. And x intercepts= -2, 4 how about f(x) = ((x+2)(x-4))/((3-x)(x-1)) ?
  6. Calculus

    find an equation of the tanegent line to the curve 3xsquared + 5ysquared=8 at the point (1,1)
  7. 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!!
  8. Calculus

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

    Consider the function f(x)=12x^5+30x^4–160x^3+5 . f(x) has inflection points at (reading from left to right) x=D , E , and F D= E= F=
  10. calculus

    Using 4x^2 - 9y^2 = 36 Find y by implicit differentiation and then solve the equation explicitly for y and differentiate to get y' in terms of x.
  11. Calculus

    Using 4x^2 - 9y^2 = 36 Find y by implicit differentiation and then solve the equation explicitly for y and differentiate to get y' in terms of x.
  12. Calculus 12th grade.

    Find the area lying above the x axis and below the parabolic curve y= 4x -x^2 a.8 b. 8 1/3 c. 10 2/3 d. 16 B or C not sure??
  13. 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))
  14. calculus

    consider the function; f(x)=x^4-3x^2-1 a) Find all the point where f'(x)=0 b) Use the second derivative test to classify the stationary points?
  15. 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.
  16. 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)=( , )
  17. Calculus

    U substitution on indefinite integral/antiderivative. (t^3+4)^-2 t^2 On this should I use u on the parenthesis and should I put this into a natural log?
  18. Calculus

    Find the derivatives of the function f(t)=cosh^2(4t)-sinh^2(4t). Simplify your answer completely.
  19. Calculus

    Find the particular solution of the differential equation y'=(5x+21y)/7x satisfying the initial condition y(1)=5.
  20. Calculus

    I need help with this question still!!! Find the values for a, b, and c such that the graph of y= ax^2 + bx + c has a relative maximum at (3,12) and crosses the y-axis at (0,1). Please Help!!!
  21. calculus

    Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter. x=tcos(t), y=tsin(t); t=π
  22. 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
  23. calculus

    x = sin(θ/2), y= cos(θ/2), −π ≤ θ ≤ π. Eliminate the parameter to find a Cartesian equation of the curve.
  24. 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?
  25. 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
  26. Calculus

    Find the volume of the solid formed when the region bounded by y=3x^2 and y=36-x^2 is revolved about the x-axis.
  27. calculus

    Given the function g(x)= (3x) / (2+5x^2 ) find its region of increase and decrease. Give open intervals.
  28. Calculus Grade 12

    Without solving , determine the points of intersection of the line r= (5,-9,3) +k (1,-12,2] and the plane [x,y,z]= (4,-15,-8) + s[1,-3,1] + t[2,3,1], if any exist.
  29. calculus

    Find the equation of a straight line that passes through a point (1,5) and tangent to curve y = x^3
  30. integral calculus

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

    find a point on the curve x^3 + y^3 =2xy other than the origin at which tangent line is horizontal
  32. 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
  33. 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
  34. calculus

    What angle does the tangent to the curve y(x)=sin^2(x/3)+15sin(x/3) at x=3pi make with the x-axis?
  35. Calculus AB/AP

    Use the rectangles with the given dimensions to approximate the area of the region in the first quadrant bounded by the graphs of y = 4 – x2 , y = 0, and x = 0. 4 _ 3|_|-. 2|_|-|-. 1|_|-|_|_ |_|_|_|_| 1 2
  36. Calculus

    Find the general expression of the kth nonzero term in the taylor series f(x) = 3/(1+x), for k= 0, 1, 2,...
  37. calculus

    let x^2 + 4xy + y^2 + 3 = 0 are there any points on the curve where the tangent is horizontal or vertical? justify your answer.
  38. calculus

    sketch graph of a function f that is differentiable and that satisfies the following conditions:(1)f'(x)>0, when x<-5 (2)f'(x)<0, when -5<x<1 and when x>1 (3)f'(-5) =0and f'(1)=0 (4)f(-5)=6and f(1)=2.
  39. Calculus

    Find f'(a). f(x)= (x^2 + 1)/(x - 2) So, [[(a + h)^2 + 1]/[(a + h) - 2]] - [(a^2 + 1)/a - 2] and the whole thing divided by h I tried simplifying it and ended up with [a + h/-2] - (a-2), which is incorrect. I used wolfram alpha and got (a^2 - 4a - 1)/(a -
  40. AP Calculus

    I previously posted this but had a mistake in it. Determine dy/dx if xsiny=arctany i did (x)(cosy dy/dx)+(1)(siny)=dy/(1+y^2) so far
  41. Calculus

    Prove via Mathematical Induction that (7*n) - 1 is divisible by 6. I have that it is divisble when n=1, but not n=2 and so on. How should I write the inductive proofs?
  42. calculus

    Find Mx, My, and (x, y) for the laminas of uniform density ρ bounded by the graphs of the equations. (Use rho for ρ as necessary.) y =1/5 y = 0 x = 4
  43. 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?
  44. calculus

    Find the complex zeros of the polynomial function. F(x)=5x^4-16x^3-22x^2+200x-39
  45. Calculus

    Use implicit differentiation to find the slope of the tangent line to the curve 2(x^2) + 2xy + 2(y^3)= -18
  46. Calculus I

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

    Use iterated integral to find the area enclosed by r=2sin2(theta). How do i graph this?
  48. 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.
  49. Calculus

    (y/(x+9y))= (x^2)-7 at the point (1, -6/55) Use implicit differentiation to find the slope of the tangent line to the curve
  50. calculus II

    Find the length of the entire perimeter of the region inside r = 11 sin (theta) but outside r = 2
  51. 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
  52. calculus

    write the equation (in slope intercept form) of the line perpendiculaer to y=-X/2+1 and tangent to g(x)=3X^5+2X-1
  53. calculus

    describe in your own words how you would determine the instaneous rate of changeof a function using the different methods
  54. math calculus (please help me)

    Solve for t. (Round your answer to two decimal places. (2 − (2.479/35))^7t= 29
  55. 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
  56. 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]
  57. 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
  58. calculus

    need some help im doin antiderivatives it has (2-x^2)^4xdx i understand how to do it for the most part but i come up with 1/5(2-x^2)^5+c the book has a answer of -1/10(2-x^2)^5+c how what am i doing wrong
  59. calculus

    What is the distance from the point P(x,y,z)to the z axis? Explain your answer by graphing. can anyone explian it to me plezzz
  60. Calculus Help

    A solid generated by rotating about the x-axis the region under the curve of f(x) from x=0 to x=b, is b^2 FOR ALL b>0. Find the function f.
  61. 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.)
  62. calculus

    Find the area of the region in the first quadrant enclosed by the coordinate axes and graph of x^3+y^3=1.
  63. calculus

    Find the number c if the line y=x is to be tangent to the graph of f(x)=x^4+c. what are the coordinates of the points of tangency?
  64. Calculus 1

    find the area of the largest posible isosceles triangle with 2 sides equal to 6. thanks
  65. calculus

    explain in your own words the process used to conclude that the derivative of a cubic function is a quadratic one
  66. calculus

    find the limit x-->inf (x^2+x)^1/2-(x^2-x)^1/2 so I know I multiply by the conjugate 2x/(x^2+x)^1/2+(x^2-x)^1/2 then I don't know where to finish problem
  67. 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?
  68. calculus please help

    Use the four step process to find the slope of the tangent line to the graph at any point: f(x) = -1/2(x^2)
  69. Math - Calculus

    Integration of (sinx + cosx)^2 from 0 to pi/2. I get pi/2 + 1 as my final answer... wondering if that's correct?
  70. 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.
  71. Calculus

    Find the largest volume V of the circular cone that can be inscribed in a sphere of radius = 10 cm
  72. 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
  73. calculus PLZ HELP!!

    find the equation for the line tangent to the curve at the given point. (x^2)(y^2)-2xy+x=1 at (2, 1/2)
  74. calculus

    determine the point of intersection of the tangents at the points of inflection to the curve f(x)= x^4 – 24x^2 – 2
  75. Calculus

    Find the volume of the solid formed by rotating the region enclosed by y=e^(2x)+3 y=0, x=0, x=0.9 about the x-axis.
  76. Math(module 4 Calculus)

    (graphing calclator)give a four decimal approximation for the number 10^4C(25,5)/7!P(30,4)
  77. Math(module 4 Calculus)

    (Graphing Calculator)Sketch the graph of the function f(x)= 2x^3-7x^2-27x-18/x^2+5
  78. Calculus 3

    Let G be the region in the first octant that is inside both the cylinders x^2+y^2=1 and y^2+z^2=1. Use a triple integral to evaluate the volume of G.
  79. Calculus

    I am trying to solve the following L'hopital's limits question below: lim x -> 0 from the positive direction of ( 5^(sin(x)) - 1 )/ (x)
  80. Calculus

    Revolve the region bounded by y=x and y=x^2 about the y axis. In cubic units, the resulting volume is?
  81. calculus

    Evaluate the limits without using a calculator. Justify all steps in the solutions. lim x-->0 x^7cos(3/x)
  82. calculus

    the lemniscate revolves about a tangent at the pole find sufaces of the solid generated?
  83. 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.
  84. calculus

    Find the discontinuities of the given function. Classify them as a point discontinuity or a jump discontunuity. g(x)= x, x<-3 5x/(x^2-4x), x>= -3
  85. calculus

    Find the center of mass of the region bounded by the curve y = x3 - 4x2 +3x ; the x-axis ; x = 0 ; x = 1
  86. calculus(QUICK QQUESTION!!)

    if f(t) were continious on the interval [-2,1] but youo were only given the function for t=-2,-3/2,-1,-1/2 ..,3/2 and 2, explain how would you apporximate f'(1)
  87. calculus

    f(x)=3-5x , (-1,8) find the slope of the tangent line to the graph of the function at the given point how do you figure this out?
  88. 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.
  89. Calculus

    The region between the graphs of x=y^2 and x=4y is rotated around the line y=4. The volume of the resulting solid is how so i solve?
  90. calculus

    solve the differential equation. assume a, b and k are non zero constants. dR/dt = kR i don't understand how to do these problems.
  91. calculus help

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

    The end behavior of f(x)=(2+x^2)/(x^2-36) most closely matches which of the following: y=1 y=-18 y=2 y=0 I still don't get this based on steve's answer will someone please help?
  93. calculus

    Find the smallest possible area of an isosceles triangle that is circumscribed about a circle of radius r
  94. Calculus

    find lim (2x+1+cos2x/22) x->0 Give one sequence starting at x=0.1 to support your claim.
  95. 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.
  96. repost Calculus

    the length of the curve of intersection of the cylinder (4x^2) + y^2 = 4 and the plane x + y + z = 2 I'm so lost. Any help is appreciated!
  97. 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
  98. 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?
  99. calculus

    determine if this converges and methods used to find its covergence or divergence. The series as n = 1 to infinity of [(2n+3)/(3n+2)]^n
  100. calculus

    find the dimensions of the rectangle of maximum area that can be inscribed inside the ellipse (x/4)^2+(y/3)^2 = 1