Pre- Calculus

21,911 results, page 98
  1. calculus help

    y=cosxcosy-sinxsiny/sinxcosy+cosxsiny find dy/dx plz show me working
  2. calculus

    Find the volume of the solid obtained by rotating the region bounded by y=5x+25 and y=0 about the y-axis.
  3. calculus

    find the area enclosed by the given curves. y=squareroot of x y=x/2 x=9 * i just graph it but do not know how to set it up the equation or anything.
  4. Calculus

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

    Express the area of the region in the xy-plane enclosed by the curve ((x^(2))/(9))+((y^(2))/(4))=1 in terms of an integral.
  6. 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
  7. Calculus

    How do you simplify: 5*e^(-10x) - 3*e^(-20x) = 2 I'm not sure if I can take natural log of both sides to bring down the exponents.
  8. calculus

    Compute the limit of the partial sums to determine whether the series converges or diverges. 1)6 + 4 - 4 + 4 - 4 + 4 - 4 +...
  9. 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?
  10. Calculus

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

    lim x→ ∞ of e^(−x) sin√x A little lost. Help would be appreciated.
  12. 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?
  13. 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.
  14. calculus

    use a sign chart to solve inequality. Express answers in interval notation. x^2+6<2x
  15. 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
  16. Calculus

    Find the largest volume V of the circular cone that can be inscribed in a sphere of radius = 10 cm
  17. 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
  18. 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!!
  19. 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=
  20. 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.
  21. 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.
  22. Calculus

    Determine the work done by the force F = [1, 4], in newtons, for an object moving along the vector d = [6, 3], in meters.
  23. 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
  24. calculus

    In the space below, provide the smaller of the two positive integers that add to 40 and have the largest possible product
  25. 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
  26. calculus

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

    okay i need to find the derivative of f(x)=cosπ(x^2) and if you could show steps it would be GREATLY appreciated. thank you so much!
  28. calculus

    Find the value or values of c that satisfy the equation f(b)-f(a)/b-a = f'(c) in the conclusion of the mean value theorem for the given function and interval f(x)= x^(2/3) , [0,1]
  29. Calculus

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

    Use the Trapezoidal Rule to approximate ¡Ò8 4 ln(x2+5) dx using n=3. Round your answer to the fourth decimal place.
  31. calculus

    find the area of y=x sqrt(x^2+16), bound by the x-axis and the vertical line x=3 I got 22.5 is that correct?
  32. Calculus

    Describe the solid whose volume is represented by the following definite integrals. The integral of 2pi(x-1)e^x from 2 to 7.
  33. Calculus (check my work)

    Find the marginal revenue at x=10 using the equation R(x)=-x^2+80x Is the answer 60?
  34. grade 12 calculus and vectors

    Determine the average rate of change form x = 1 to x = 4 for each function. a) y= x b) y=x^2 c) y=x^3 d) y=7
  35. Calculus

    Find the volume of the solid formed when the area bounded by x^2-y^2=9, y=x+5, and the x axis is rotated about x=1.
  36. Calculus

    Use Simpson's Rule with n = 10 to estimate the arc length of the curve. y = tan x, 0 < x < π/9
  37. 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?
  38. 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.
  39. 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?
  40. 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.
  41. 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?
  42. Calculus

    Consider the function x^2+x-4 Estimate the area between the graph and the x-axis between x=2 and x=4 using four rectangles and right end points.
  43. math calculus 3

    find a formula for a function g( x,y,z) whose level surfaces are planes parallel to z=3x-2y+7
  44. CALCULUS-plz help!

    For the curve r = 2 sin 3(theta): Find the arc length of one petal
  45. CALCULUS-plz help!

    For the curve r = 2 sin 3(theta): Find the arc length of one petal
  46. 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.
  47. 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?
  48. calculus

    find a vector equation of the line, which passes through the point (1,3,11) and is perpendicular to the yz-plane
  49. 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.
  50. 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
  51. 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.
  52. Calculus- please help

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

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

    Find the limit. lim t → ∞ (sqrt t + t^2)/(6t − t^2)
  55. 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.
  56. calculus

    explain in your own words the process used to conclude that the derivative of a cubic function is a quadratic one
  57. 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
  58. calculus

    describe in your own words how you would determine the instaneous rate of changeof a function using the different methods
  59. Calculus

    write and row reduce the augmented matrix to find the general solution: 2x - z = 2 6x + 5y + 3z = 7 2x - y = 4
  60. Calculus

    write and row reduce the augmented matrix to find the general solution: x - 2y + 13 = 0 y - 4x = 17
  61. Calculus

    Determine the linear approximation of 21/2. Express your answer as a reduced fraction in the form a/b.
  62. 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?
  63. 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
  64. Calculus

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

    Find the equation of a straight line that passes through a point (1,5) and tangent to curve y = x^3
  66. 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,
  67. 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)
  68. 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.
  69. calculus help

    integrate cos^10xdx.. .plz show working i really wanna learn these thanks anyway
  70. 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
  71. 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
  72. Calculus

    If f is an exponential function of the form f(x)=C times a^x with growth factor 5 and f(5)=14. What is f(6)? I know f(6) is 70 but how do you set up the equation to get 70?
  73. calculus

    find 3 positive real numbers whose sum is 500 and whose product is as large as possible.
  74. 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
  75. Calculus Help and Check

    Find dy/dx by implicit differentiation. x^5(x + y) = y^2(9x − y) this is what i've got so far but I don't think it is the right answer. y'= 9y^2-6x^5-5x^3y/x^5+9y^2-18xy
  76. multivariable calculus

    show that a=!0 , the equation p=2asin0cos0 describes the sphere centered(a,0,0) at radius|a|
  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

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

    the area of the first quadrant bounded by the y-axis, the line y=4-x, and the graph of y=x-cosx is approximately
  80. calculus

    the area of the first quadrant bounded by the y-axis, the line y=4-x, and the graph of y=x-cosx is approximately
  81. 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.
  82. 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.
  83. Calculus

    Even after looking up how to do this and reading about it I still don't know how to find the slope of curve or the deritives . Please help solve these problems. 1. Y =x^3 p(-1, -1) 2. Y = x^4 /2 p(-1 , 1/2) 3. Y= 8x^4 -7x^2 +5x + 6 p(-1,2)
  84. calculus

    Find the intervals on the x-axis on which the function f(x) is increasing and those which it is decreasing, where f(x) = (x)/(x^2+1) I differentiated and got f'(x)=(x^2+1) -(x)(2x) all over (x^2+1)^2 But I don't know what to do now...
  85. 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) ?
  86. Calculus

    Find the elasticity of the demand function: pq = 42 p=$2 My professor went through this lesson really fast and I would appreciate anyone's help in explaining it. Thank You
  87. 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
  88. calculus

    Find an equation of the tangent line to the curve at the given point. y = sec x, (π/3, 2)
  89. 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?
  90. Calculus

    Find the sum of the convergent series. Sigma (lower n = 0; upper infinity) 8*(4/5)^n
  91. Calculus

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

    Evaluate ∬R 1/sqrt(x^2+y^2) dx dy, where R is the region bounded by y≥0 and x^2−x+y^2≤0.
  93. Calculus

    Please help!! I keep solving this problem but I keep getting the wrong answer. Find the derivative of the function: f(x)= xsqrt(x-1)/(x+2)
  94. Calculus

    How do you integrate 2x^5 • e^x^2 ? I would say that this cannot be evaluated because the answer is more complicated than the original problem. Am I correct? Or is it doable?
  95. calculus

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

    Find equation of two tangent lines to curve y=x^2 that intersect @ (2,-2). Need exact values.
  97. 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.
  98. calculus

    How many positive integers a (<1000) are there such that the function f(x)=x^4−76/3x^3+2ax^2 has no local maxima?
  99. Calculus Help

    use logarithmic diff. to find the derivative of the function. Show steps please! so I can see how it is done. Thank you so much! y=(e^(-x)cos^(2)(x))/(x^(2)+x+1)
  100. Calculus-concavity and graphing

    (2x+1)/(8x+1) f is increasing for x: f is decreasing for x: find local max/min: