Pre- Calculus

21,892 results, page 96
  1. Calculus AB

    Find the equation of the line tangent to the curve at t=pi/3: a) x=t-sin(t) b) y=1-cos(t)
  2. Calculus

    The following Summation 1 2 1 2 1 2 ------ x - + ------ x - + ------ x - 1+(2/n) n 1+(4/n) n 1+(6/n) n is a right Riemann sum for this integral ç f(x)dx With subintervals [1,3] can someone help me solve for the inegrand which is f(x).?
  3. Further maths

    Differential calculus using product rule pls with detailed explanation (2x+3)^3(4x^2-1)^2
  4. calculus

    dy/dx=(1+Lnx)y and if y=1 when x=1, then y=? i know i have to find the integral by multiplying dx to the other side and bringing y to left. and i got Ln(y)+ C = x + 1/x + C what do i do next. ln(y)=x+1/x+c e^(ln(y))=e^(x+1/x+c), so y= e^(x+1/x+c) y=
  5. Calculus

    Find the dimension of a rectangle with perimeter 295 whose area is as large as possible
  6. Calculus

    Express the quadratic function y=-2/3x2-12x-11 in standard form?
  7. calculus

    Find the domain for the particular solution to the differential equation dx/dy=1/2x, with initial condition y(1) = 1.
  8. elements of calculus

    write the equation of the line tangent to the curve y= 3x^3- 2x at the point where x=2
  9. Calculus

    How do I solve e^(ax) = Ce^(bx), when a does not equal b? I know the answer has something to do with natural log, and that a has to be connected to b and c, but I don't know what.
  10. 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|| < $.
  11. Calculus

    Find the points on the curve y=x^3-4x^2+1 where the tangent is parallel to y+4x=0. y'=3x^2-8x y+4x=3x^2-8x y=3x^2-12x y=3x(x-4) Ya... I need some help The answers are (2, -7) (2/3, -67/27)
  12. Calculus I

    Using Newton's Method, determine the first approximation to the solution of: e^(4x)= 10-2x starting with x=0 what is x1= ??? P.S. ( the 1 is a subscript )
  13. Calculus

    y = g(x) = cos(x) Can someone show how to estimate g'(pi/2) using the limit definition of the derivative and different values of h. Thanks!
  14. calculus

    Find the angle ABC, if A = (4, –3, –1), B = (0, 0, 0) and C = (–2, –3, 5) Could you lead me in the right direction I don't know where to start
  15. Calculus

    Find the equation of the tangent line to the curve (a lemniscate) 2(x^2+y^2)^2 = 25(x^2-y^2) at the point ( -3 , -1 )
  16. calculus

    Find the volume of the solid formed by revolving the region bounded by y=1-x, y=x-4, x=0 about x=7
  17. Calculus (double check my anser please)

    Evaluate integral e^3x cosh 2x dx. A.1/2 e^5x + 1/2 e^x + C B.1/10 e^5x + 1/2e^x + C<<< my answer C.1/4e^3x + 1/2 x + C D.1/10 e^5x + 1/5 x + C
  18. Calculus

    find the exact value of sin 11pi/12 using the sum or difference formula.
  19. Calculus

    A cost function is given by: A'(x)= 2x^2/x^2-211/x^2. For what values is A(x) increasing and decreasing? Any help would be appreciated
  20. 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.
  21. 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
  22. Calculus

    Find the area of the region bounded by the graphs of y = x, y = 6 - 2x, and y = 0. (4 points) 3 6 9 None of these Please help I don't know how to do this
  23. Calculus

    Ba has a half-life of 283.2 hours. How long would it take for the 50 mg of Ba in a sample to decay to 1.0 mg?
  24. Calculus

    The slope of the line normal to the curve e^x − x^3 + y^2 =10 at the point (0, 3) is ____
  25. Calculus

    Find an equation of the tangent line to the curve at the given point. y = 6e^x cos x, (0, 6)
  26. calculus

    what is the interval notation for solution set of the inequality x^2+16x is less than or equal to 0
  27. calculus

    find the area of one of the regions bounded by the curves y=sin x and y=cos x
  28. calculus

    limit as x approaches negative infinity for the function (-x)/(sqr root (x^2-36))
  29. Calculus

    What is the connection between improper integrals, Riemann sums, and the integral test?
  30. business calculus

    For the function f(x) = 1/(x2+14x-42) there are two vertical asymptotes. Determine the x-coordinate of each one
  31. Calculus

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

    Determine the point at which the graph of the function has a horizontal tangent line. f(x) = (9x^2)/(x^2+6)
  33. Calculus

    Which of the following functions grows the slowest as x goes to infinity? x^e e^x ex they all grow the same rate. I think it is c because it does not have any exponents.
  34. Calculus

    If b is a positive constant, find the average value of the function f defined by f(x) = x2 + bx + 1 on the interval [-1,1]
  35. calculus

    finding limit using epsilon and delta of lim x->2 x^3-3x+7=9..plz anyone solve it for me....
  36. calculus

    find the highest or Lowest point on the surface z=3x^4+4x^3+6y^4-16y^3+12y^2
  37. Calculus check

    Find the equation of the line tangent to y=tan2x at x=pi/8 A. y-1=sqrt(2)(x-pi/8) B. y-1=1/2(x-pi/8) C. y-1=1/4(x-pi/8) D. y-1=2(x-pi/8) E. y-1=4(x-pi/8) I got A
  38. AP calculus

    Find values for x and/or y on the graph of x^2-2y^2+9x+8y-276=0 for which there is a vertical tangent line
  39. calculus

    What is the limit, as x approaches 1, of (sqrt(x) - 1)/(x - 1)? I need to show work, but I know the answer is 3/2, because I confirmed with a TI-89.
  40. Calculus help

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

    sketch the graph of the line defined by y 2 +4 using the dual-intercept method.
  42. Calculus

    Consider the function y=7+5cos(8x) What is the amplitude? What is the period? What is the largest value the graph takes?
  43. 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.
  44. Ap calculus

    Find the equation of the tangent line to the curve g(X)= 2cos(2X)/(3X) at the point x= pi/3
  45. Integral Calculus

    Find Mx, My, and (x, y) for the lamina of uniform density ρ bounded by y=1/2x ,y>0 x=2
  46. ap calculus bc

    Hi! Thank you very much! My question is: how do you find the antiderivative of 1 / (square root[1-(x^2)]) aka antideriv( [1/(x^2)] ^ -1) THank you!!
  47. Calculus

    Find the equation of the line tangent to f(x) = xe^-x at the point where x = 0. What does this tell you about the behavior of the graph when x = 0?
  48. Calculus

    Find all points at which the graph of f (x) = x^3 −3x has horizontal tangent lines.
  49. Calculus

    Evaluate as limit approaches 0. (Without using l'hopital's rule. ( Sqrt(4+sin(x))-2 ) / (3x)
  50. calculus

    If f(2)=-3, g(x)=f^-1(x), what is the equation of the tangent line to g(x) at x=-3? I don't know how to find g(x), if you can help me with that, then I think I can do the rest of the problem
  51. Calculus

    Find the particular solution that satisfies the intial condition: xdy - (2xe^(-y/x)+y)dx = 0
  52. calculus

    Whats the slope of the tangent to the curve y=7/(square root of x) at the point where x=a>0?
  53. calculus

    Whats the slope of the tangent to the curve y=7/(square root of x) at the point where x=a>0?

    Find dy/dx by implicit differentiation. tan−1(4x2y) = x + 3xy2
  55. Calculus (derivatives)

    find an equation of the tangent line to the curve at the indicated point. y = -(x^1/3); (8, -2)
  56. calculus

    f(x)=3-5x , (-1,8) find the slope of the tangent line to the graph of the function at the given point
  57. calculus

    Find the values of a and b that make f continuous everywhere. (Enter your answers as fractions.) x^2-4/x-2 x<2 f(x)= ax^2-bx+5 2¡Üx<3 2x-a+b x¡Ý3 a= b=
  58. Calculus

    Find the limit as x approaches 1 5/(x-1)^2 I don't understand how to solve it because there would be a 0 on the denominator.
  59. calculus

    Find the center of mass in the 1st quadrant of the circle x^2+y^2=4 where rho(x,y)=k(x^2+y^2) Thanks.
  60. 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.
  61. Calculus

    Find the equation of the line tangent to F(x) = xe^-x at the point where x = 0. What does this tell you about the behavior of the graph when x = 0?
  62. Calculus 1

    Could you please explain how to find the slope using the definition of derivative of the function y=2*sqrt(x)
  63. calculus

    I posted one before but this is another one of those problems that i need help with! I don't know how to approach this one at all! Please help use the definition of the derivative to find f'(x) when f(x)= (4/x^2)+(2/5*x)
  64. Calculus 1

    y= 3/x^3; [1,3] Find the area under the graph of the function over the integral given. The book answer is 4/3
  65. Calculus

    Using L'Hopital's Rule, find the limit: lim x->0+ (as x approaches 0 from the right) of sinx/x^(1/3)
  66. Math - Calculus III

    Find the double integral of f (x, y) = (x^7)y over the region between the curves y = x^2 and y = x(3 - x).
  67. calculus

    Evaluate the following line integral: ∮C[(4x^2+3x+5y)dx+(6x^2+5x+3y)dy] where C is the path around the square with vertices (0,0),(2,0),(2,2) and (0,2).
  68. Calculus

    Find the integral of x times the square root of (400-100x^2)dx
  69. MATH Calculus Homework

    Find the area of the region between the curve y^2=4x and the line x=3.
  70. Calculus

    What is the 4 step process when finding the slope of the tangent line at any given point?
  71. Calculus

    find the volume of the solid formed by rotating the region enclosed by y=e^(1x+4), y=0, x=0, x=0.9
  72. calculus

    the tangent to the curve y=a/x +bx at (1,3) is parallel to the line whose equation is y=2x+1. find the values of a and b.
  73. Calculus:)

    Find the area of the region enclosed by y−2x^2≥0 and |x|+|y| ≤ 1
  74. Calculus

    Find the area of the region enclosed by y−2x^2 ≥ 0 and |x|+|y| ≤ 1
  75. Math calculus-Trig

    Find the area bounded by the curve and the lines y = -x^2 - 4x; y = 1; x = -3; x = 1
  76. 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!
  77. calculus

    What are the dimensions of a rectangular field of area A that requires the least amount of fencing.
  78. calculus

    Find the slope of the line secant to the following function passing through the given x-values: f(x) = x3 + 5x; x = 3 and x = 6
  79. Calculus

    Find dy/dx and express the final answer with a common denominator y=lnx^2(4x-12)
  80. Calculus

    Suppose that f (x) is a function such that the relationship given below is true. f (3 + h) - f (3) = 9h^2 + 8h (a) What is f '(3)? (b) What is the slope of the secant line through (3, f (3)) and (7, f (7))?
  81. calculus

    Show that the equation;x+3sinx=2 has a root between x=0.4 and x=0.6 using newton raphson's formular only
  82. Calculus

    If y=3x-7, x is greater than 0, what is the minimum product of x^2y? A. -5.646 B. 0 C. 1.556 D. 2.813 E. 4.841
  83. Calculus:)

    Find the area of the region enclosed by y−2x^2≥0 and |x|+|y| ≤ 1
  84. calculus

    find the derivative of the following: 3x^2 ln(2x) e^2x ln√x+3 please try and show few steps and laws of logarithmics.
  85. calculus

    Find the exact area of the region bounded by the -axis and the graph of (x^3)-x
  86. calculus

    how to find surface area of a cylinder with respect to r(radius) and h(height)?
  87. Math/Calculus

    Find the average rate of change on the interval [-6,3] of the function h(x)=x^2-4x+7. A. -7 B. 7 C. 1 D. 13 E. -5
  88. Calculus III

    Use the cross product to find the area of the triangle with vertices: P=(1,1,5) Q=(3,4,3) R=(1,5,7)
  89. calculus

    Evaluate the following line integral: ∮C[(4x^2+3x+5y)dx+(6x^2+5x+3y)dy] where C is the path around the square with vertices (0,0),(2,0),(2,2) and (0,2).
  90. Calculus

    Mt+1= 0.75Mt+2 give the solutions of the dynamical system with Mo=5 i.e determine Mt as a function of t
  91. Pre-Cal

    This exercise is based on the following table, which lists interest rates on long-term investments (based on 10-year government bonds) in several countries in 2008. How long, to the nearest year, will it take an investment in Germany(4.3%) to triple its
  92. Pre-calc

    A truck is traveling at 70mph and has wheels with a diameter of 26in. Find the angular velocity in radians per minute. Also find in revolutions per minute. I've attempted this question and am completely stumped. I can't figure out how to make it work with
  93. Pre-Calc

    An airplane’s velocity with respect to the air is 630 mph, and its heading is 𝑁 30° 𝐸. The wind, at the altitude of the plane, is directly from the southeast at 45° and has a velocity of 45 mph. Draw a figure that gives a visual
  94. Math Analysis (Pre Calc)

    A pilot wants to fly 430 miles per hour at 45 degrees north of east, but there is a westerly wind blowing 20 miles per hour. What course correction does the pilot have to make to fly on his desired landing? I wasn't able to figure out any work for this
  95. Pre Algebra

    Suppose you have an after school baby sitting service. You charge a flat fee of $10 per week plus $3 per hour. The equation y = 3x + 10 represents your earnings per week for one child. Describe the y intercept. Answer: The y intercept is (0,10) but I'm
  96. Pre-Alegebra

    You spin a spinner that is divided into 6 equals parts once and roll the number cube once. Find the probability that the spinner stops on the same number that you roll the number cube?
  97. Math(Pre-algebra)

    Ok, my question is ‘ last year the price of a certian computer was 150$ more than it is now. This year's price is 3/4 of last year's price. How much does the computer cost this year?‘. Can someone explain to me how to create an equation for this?
  98. pre-cal

    The angle of elevation from a car to the top of an apartment building is 48 degrees. If the angle from another car that is 22 feet directly in front of the first car is 64 degrees. How tall is the building?
  99. Pre-Algebra

    The Jaspers collect nickels, dimes, and quarters in a jar. When they count the change in the jar, there are twice as many nickels as there are quarters. If there is $15.30 in dimes and $74.80 in all, how many quarters are there. Please include an equation
  100. Pre Algebra Review

    Thirty-five students belong to the science club. This 1/4 the number in the 5 sections of the eighth grade. How many students are in the eight grade? How many in each section if each section has the same number of students?