Pre- Calculus

21,824 results, page 99

  1. Calculus I

    Find the exact area of the surface obtained by rotating the curve about the x-axis. y = sqrt(1+5x) from 1<x<7
  2. calculus

    An annuity has a differential equation of y'=4500+.035y, and an initial condition of y(0)=1000. Describe what is going on.
  3. Calculus

    Find the colume, in cubis units, generated by revolving the region bounded by y=x^3 x=0 and y=8 around the line x=7
  4. Calculus

    Find the volume, in cubic units, generated by revolving the region bounded by y = x3 , x = 0, and y = 8, around the line x = 7 .
  5. Calculus

    Calculate the derivative.? d/dx ∫ from √x to x^2 tan9tdt = Use symbolic notation and fractions where needed.
  6. calculus

    Find the constants a & b such that the function f(x)={2 if ≤ -1 {ax+b if -1<x<3 {-2 if x ≥3 is continuous on the entire real line
  7. calculus

    Calculate f" for f(x)=g(e^(2x)), where g is a function defined for all real numbers & g admits second order derivative.
  8. calculus

    Calculate f" for f(x)=g(e^(2x)), where g is a function defined for all real numbers & g admits second order derivative.
  9. calculus

    Find the equation, in slope intercept form , of the line tangent to the graph of the square root of (x^3+7x+1), when x=3
  10. Calculus

    If 3x^2-2y^2=4xy + 20, find the point(s) at which the graph from Problem 28 has vertical tangents. I found that dy/dx= (3x-2y)/(2x+2y), but now I don't know what to do. Do I set dy/dx to 0?
  11. calculus

    How do I integrate x(arctanx) dx? Is it some sort of integration by parts? Can you please show steps? Thanks in advance!
  12. math-calculus

    using quadratic formula solve |x^2-2x-6| = 4. and answer have to be 1+-sqrt3, 1+-sqrt11 i just not get how to get this.
  13. 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
  14. calculus

    Find a formula for a quadratic function whose graph has a y-intercept at y = 21 and only one zero at x = –28.
  15. Calculus

    Could really use a lot of help here what is the slope of the tangent line to cos(x-y)=xe^x at point (0,3pi/2)
  16. college Calculus Help!

    Find the derivative of the function. 1. F(x)= (1+2x+x^3)^1/4 2. f(t)= (1+tant)^1/3 ---> i hate trig. 3. y=4sec5x 4. y=xsin√x
  17. college Calculus Help!

    Find the derivative of the function. 1. F(x)= (1+2x+x^3)^1/4 2. f(t)= (1+tant)^1/3 ---> i hate trig. 3. y=4sec5x 4. y=xsin√x
  18. Calculus AP need help!

    i don't know how or what to starts Find the slope of the tangent line to the curve 4x^2+3xy+3y^3=-251 at the point (-4,-5)
  19. 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
  20. 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
  21. calculus

    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' = 5x + y^2, y(0)=-1.
  22. Calculus- please help

    Q. Find the minimum value of Q=x^2y subject to the constraint 2x^2+4xy=294. Its the derivative method.
  23. Calculus

    What is the antiderivative of: (x - x^3) / (x^4 +1)? I know that somehow I will need to factor out 1/(x^2 + 1), or the derivative of arctan, but I'm not quite sure how to do this. Any help is appreciated, thank you.
  24. calculus anti-derivation

    Given that the graph of f(x) passes through the point (2,5) and that the slope of its tangent line at (x, f(x))is 3x+5, what is f(3) ?
  25. calculus

    Find the volume of the solid formed by rotating the region enclosed by y=e2x+1y=0x=0x=09 about the y-axis.
  26. calculus

    Rotate the region enclosed by the given functions around the x-axis. Determine the volume. y=x^2+2x+1 and y=2x+5 limits are -2 and 2
  27. calculus

    Find the volume of the solid formed by rotating the region enclosed by y=e2x+1, y=0, x=0, x=0.9 about the y-axis.
  28. calculus

    help!! please ...Find the volume of the solid obtained by rotating the region bounded by y=5x+25 y=0about the y-axis
  29. CALCULUS

    Could someone show me the steps to separating the variables in the following differential equation: dy/dx = (2x+1) / (y+1)? I keep messing it up.
  30. CALCULUS - HELP

    I am trying to solve 0=1-asin(a) for a, but I have reached a dead end at sin(a) = 1/a. From here I'm not sure what to do.
  31. calculus exam review

    write two different vector equations for the plane that contains the points A(6,1,4), B(-3,7,9), C(5,0,3)
  32. calculus

    Use the 2nd derivative test to find the extremer of f on the interval [0,2PI] f(x)=2cosx+sin 2x
  33. Calculus

    Find the equation of the tangent line to the graph of the function f(x)= 2x^3−3x^2+4x+2 at x=2 I got y=16x-12 but I know it is wrong.
  34. Calculus 2

    Does Series n=1 to infinity 1/2n+1 converge or diverge? I'm thinking it converges, because p would be < 1 right? I'm a little confused.
  35. Calculus

    Find (1) marginal and (2)the average functions for the following total function. Evaluate them at Q=3 and Q=5 π=q^2+13q+78
  36. calculus

    Given that f(x)=2/3x^3 + 3/2x^2 -2x + 5. Find if exist, the maximum and minimum point using Second Derivative Test.
  37. calculus

    The voltage (V) applied to a 0.25 F capacitor is given by the equation : v= (t^2-2t)^3/5t Find the current at t = 3.7 s. (i=C dv/dt) Round to 3 significant figures
  38. calculus

    determine the volume of the solid of revolution generated by revolving the region bounded by y=x^3-x^5, y=0, x=0 and x=1 about the line x=3
  39. Math-Calculus

    Volume using disk method: x=.000574y^(2)-.439y+185 Interval: (0,500)
  40. calculus

    find the points of inflection and discuss the concavity of the graph of the function f(x) = -sin x + cos X 0<x< 2pie
  41. 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.
  42. calculus

    the area of a rectangle is A=lw. Further suppose l=2w. calculate dA in terms of the differential dw. does this just mean to get the derivative of 2w^2
  43. calculus

    Determine the largest rectangle that can be inscribed inside the cavities of the two curves: y = –2(x – 6)2 & y = 6x2 –12*Tx – 128 + 6*T2
  44. Adv Calculus

    Integrate the following indefinite integral: (sin7x)^12 * (cos7x)^3 Hint: sin^2 + cos^2 = 1
  45. calculus

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

    Find the distance d(P1,P2)between the points P1 and P2. P1=(-5,2) P2=(2,1) d(P1,P2)=? *all the 1's and 2's are to be lower down.* Please show work
  47. math/calculus

    when approximating the value of transcendental functions, why are some centers more useful than others?
  48. math/calculus

    The function f is defined as follows: f(x)={x+6 if -5 less than or equal to x<1 f(x)={9 if x=1 f(x)={-x+5 if x>1 a. find the domain b. locate any intercepts, if any
  49. Applied Calculus......

    Rewrite the expression using positive exponents only. (Simplify your answer completely.) (x^3-y^3)(x^-3+y^-3)
  50. 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
  51. calculus

    use implicit differentiation to find dy/dx . Then evaluate the derivative function at the designated point. log (xy)= 2; (4, 25)
  52. calculus

    Construct a sign chart for the derivative. Then determine the relative and absolute extrema for y = -4x2 + 4 on the interval [-3,3].
  53. 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!
  54. 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?
  55. calculus

    Calculate the equation of the tangent and normal lines for the curve f(x) = tan 2x, at the point where the x-coordinate is: x = π/8.
  56. 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?
  57. calculus

    Find the particular solution of the following differential equation by using the given boundary conditions. y(1+x)=x(y+1)(dy/dx) when y=1 x=1
  58. Calculus

    Find the arc length of the curve described by the parametric equation over the given interval: x=t^(2) + 1 y=2t - 3 --> 0<t<1
  59. Calculus

    Find the arc length of the curve described by the parametric equation over the given interval: x=t^(2) + 1 y=2t - 3 0<t<1
  60. calculus

    find the sum. use the summation capabilities of a graphing utility to verify your result. 5 Sigma (3a) k=2 ??
  61. 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!!
  62. math calculus (please help me)

    Solve for t. (Round your answer to two decimal places. (2 − (2.479/35))^7t= 29
  63. calculus 2

    Test the series for convergence/divergence. The Summation from n=1 to infinity of: 1*3*5...(2n-1)/(2*5*8...(3n-1) I'm not sure what to do with the extra terms on the left.
  64. Calculus

    How would I use the chain rule here for x^2+y^2=z^2 but still have my answer in equation form?
  65. Calculus

    Solve the differential equation by using Laplace transforms. Find the particular solution that satisfies them of: y''+2y'+y =4e^(-t)
  66. Calculus

    Use implicit differentiation to find an equation of the tangent line to the curve at the given point x^2 + xy + y^2 = 3, (1,1)
  67. Calculus - please help!

    How do you do this? Find the volume generated by revolving the area bounded by the ellipse(x^2)/9 + (y^2)/4 = 1 about the line x=3.
  68. Calculus - #5

    If h(x) is equal to (x^2-4)/(x+2)when x ≠ –2, and h(x) is continuous for all real numbers, then what is the value of h(–2)? 0 –2 –4 2 This is impossible. There is an infinite discontinuity at x = –2.
  69. college calculus

    I don't know how to solve this indefinite integral with both limits as variables: ^x^3 ç (z^4+1)dz ⌄ln(x) If you could explain I'd appreciate it.
  70. Calculus

    Solve the differential and initial value problem: x(dy/dx) + 1 = y^2 y(1)=0 I tried using bernoulli and it didn't quite work.
  71. Calculus

    I've been having a hard time with these lately... could someone explain it to me? Find f '(a). f(x) = (3x^2 − 3x + 4)
  72. calculus

    Four out of five days were used to create a problem, how many day will it take to solve it?
  73. calculus

    Describe the slope of the tangent line to the curve defined by x 2 + xy - y 2 = 5 when x = 2. positive negative zero undefined
  74. Calculus Help

    Use logarithmic differentiation to find the derivative of the function. show steps please! y=(e^-xcos^2(x))/(x^2+x+1)
  75. calculus help

    explain fully what trick you must use in order to us L'Hospital's rule for indeterminate powers?
  76. Calculus

    The velocity v (in m/s) of an object moving with acceleration a (in m/s^2) is given by v =ʃ a dt, where t is the time (in seconds). Find a formula for v, if a =(5/4t)(t^2+1)^2.
  77. CALCULUS

    two birds are flying along in 3-space. At time t, the first bird is at the point (x,y,z) on the line
  78. Calculus

    find the area of the region inside the limacon r= 8 + 4sin(theta) HElp!! if you can show steps, i'd be greatful
  79. calculus

    N(t) = 120/(1+11e^(−0.4t) D. At what rate is the number of fruit flies increasing after 4 days?
  80. Calculus-Math

    Find an equation of the tangent line to the graph at the given point. 3(x2 + y2)2 = 100(x2 − y2), (4, -2)
  81. Calculus

    Using the definition of derivative state the function, f(x) and the value of a for lim as h->0 of (square root of (121+h) -11)/h
  82. Calculus II

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

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

    find the coordinates of the centroid bounded by y=25x^2 and y=4. the region is covered by a thin flat plate
  85. Calculus

    Find the volume of the largest rectangular box with edges parallel to the axes that can be inscribed in the ellipsoid x^2/81+y^2/25+z^2/49=1
  86. Calculus

    Find the work done by F(x,y,z)=(x^2y)i=(x-z)j+(xyz)k where c=(t)i+(t^2)j+(2)k, 0<t<1. The answer is supposed to be -17/15, but i keep getting -13/10. Any help on the process would be appreciated.
  87. Calculus

    Find the slope and equation of the tangent line to the graph of the function at the given value of x. f(x)=x^4-20x^2+64;x=-1
  88. Calculus

    Find all relative extrema. Use the Second Derivative Test where applicable. f(x)= cosx - x (0,2ð)
  89. Calculus

    Find the degree 3 Taylor polynomial approximation to the function f(x)=8ln(sec(x)) about the point a=0 .
  90. 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?
  91. Calculus

    Find d^2y/dx^2 for y=(x+3)/(x-1) A. 0 B. y=-8/(x-1)3 C. y=-4/(x-1)^3 D. y=8/(x-1)^3 E. None of these I got a positive number but am not sure about the denominator in the second derivative.
  92. Calculus

    Which of the following functions does not have a derivative of zero? A. y=-1/100 B. y=4(pi)^2-9 C. y=sin^2x+cos^2x D. y=cscxtanxcosx E. All do
  93. Calculus

    With the following coordinates (16,46) (18,64) (20,60) create three formulas using Y+Ax^2+Bx+C then solve for A,B, and C to form the final equation.
  94. 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.
  95. calculus

    For f(x) = e2sin(x) use your graphing calculator to find the number of zeros for f '(x) on the closed interval [0, 2π].
  96. Calculus

    Write the definite integral for the area of the region lying in the upper half of the ellipse given by 4x^2+y^2=4
  97. Calculus

    Integration with U-Substitution Integral of [x/sqrt(x+1)] dx I'm getting confused with how to deal with the x when I find the derivative of (x+1) because they don't match.
  98. calculus

    The graph of the function y=x^5-x^2+sinx has a point of inflection at x= a. 0.324 b. 0.499 c. 0.506 d. 0.611 e. 0.704 Thanks.
  99. Calculus

    Use implicit differentiation to differentiate y=x8/37, by writing it as y37=x8. Express your answer only in terms of x.
  100. calculus

    find the area under the curve y= 1/(3x+1)^2 over the interval [0,1]. please show all steps
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