calculus

17,532 results
  1. Calculus

    What is the use of Calculus? How is it use in jobs? What jobs use Calculus? Calculus is used in engineering, economics, any physical science, and in business (e.g., actuary studies and statistics).
  2. Pre-Calculus/Calculus

    I am too embarassed to ask this Calculus (really pre-calculus) question in tutoring, because I know I should know. Is the inverse of f(x)=3x-1 actually f(x)=1/3x+1? How do I find it? What if it asks the same equation replaced with f to the -1 power (x)? I
  3. Calculus

    Hellp I have a calculus test on Monday 2. Calculate the slope of the tangent to the given function at the given point or value of x a. f(x)=3/x+1,P(2,1) b.h(x)=2/squareroot x + 5, P(4,2/3) ****Full solutions to please because I do not know what I'm doing
  4. Finite Math

    Fifty percent of students enrolled in calculus class have previously taken pre-calculus. Thirty percent of these students received an A for the calculus class, whereas twenty percent of the other students received an A for calculus. Find the probability
  5. Calculus - Find volume of cylinder

    There is a cylindrical tank lying horizontally on the ground, its diameter is 8 feet, and length is 25 feet, the depth of the water currently in the tank is 2 feet. (1 gallon=231 cubic inches) How many gallons of water are in the tank? How many gallons of
  6. Algebra

    In an interview of 50 math majors, 12 liked calculus and geometry 18 liked calculus but not algebra 4 liked calculus, algebra and geometry 25 liked calculus 15 liked geometry 10 liked algebra but neither calculus nor geometry 2 liked geometry and algebra
  7. Calculus

    What is the simplest solution to the Brachistochrone problem and the Tautochrone problem involving calculus? (I know that the cycloid is the solution but I need a simple calculus proof as to why this is the case)
  8. Calculus AB (AP)

    Hi, I have a calculus test tomorrow and I understand how to complete all of the problems, but I am unsure behind the reasoning of taking two derivatives. Can someone please explain the following: 1. g(x)=e^(f(x)) g'(x)=e^(f(x))f'(x) 2. f(x)=Integral from 0
  9. math

    8. In an interview of 50 math majors, 12 liked calculus and geometry 18 liked calculus but not algebra 4 liked calculus, algebra, and geometry 25 liked calculus 15 liked geometry 10 liked algebra but neither calculus nor geometry 2 liked geometry and
  10. Calculus

    How do you simplify vectors? 1)AB + BC + CD 2) BC - FE - BA + DE - DC Calculus - Steve, Tuesday, September 22, 2015 at 11:39pm AB+BC = AC so, AB+BC+CD = AD BC-DC = BC+CD = BD See if you can use that idea to rearrange +/- terms so the ends line up in order
  11. math-calculus

    1.For any function y+f(x), express dy/dx using limit notation. Give a clear explanation for your given answer. you probably meant to type y=f(x) By definition dy/dx = Limit (f(x+∆x) - f(x))/∆x as ∆x-->0 The explanation of this equation
  12. Calculus

    Greetings, This is a question about selecting courses for my semester. I was planning to take Calculus 3 (Mostly 3-Dimensional topics involving calculus) and a C++ programing course. If you have heard of these courses, can you please tell me your thoughts
  13. Calculus

    I need to take a college calculus class. Can someone direct me to a site which might help me get a good start? Thanks in advance.
  14. math, calculus 2

    Use part 1 of the Fundamental Theorem of Calculus to find the derivative of g(x)= integrate from 9x to 4x of ((u+4)/(u-1))du
  15. Calculus

    Use fundamental theorem of calculus: Int(pi/2_pi) of e^(sin(q))*cos(q)dq
  16. Math:Calculus

    Use the Fundamental Theorem of Calculus to find the derivative of g(x)=1/(1+t^5)dt in the interval 1 to x.
  17. Calculus

    The area is bounded by y= x^3, x= 2 is rotated around the x-axis. Find the volume using calculus.
  18. Calculus Precalculus

    Answer the calculus question about Point P, 45 mph, etc. It is ALREADY posted on here.
  19. calculus

    calculus. suppose dR/dt= (d/R)^(2) and P(1) 4. separate the differential equation, integrate both sides
  20. Calculus, bobpursley!

    This has to do with my last Calculus problem. I need help on it..The part I replied to after you answered the question.
  21. calculus

    Use the Fundamental Theorem of Calculus to find G'(x) if: G(x)=∫ up(x²) bottom(1) cost dt
  22. Calculus 1

    Use the fundamental theorem of calculus to find the area bounded by f(x)=3 square root of x+2x and the x-axis between x-=0 and x=1
  23. Calculus AP need help!

    Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. If f(x)= ∫(4,x^3)√(t^2+10) dt then f '(x).
  24. calculus

    hello here, Please can i get direction on website to practice calculus (both differential & integral) objectives based online. thanks.
  25. Calculus

    I need help with these two review calculus problems for my final exam. What is the derivative of a). (5x^2+9x-7)^5 b). Lne^x^3 For a. I got 50x+45(5x^5+9x-7)^4 For b. I got 3x^2 Can you verify please?
  26. COLLEGE CALCULUS. HELP!

    the fundamental theorem of calculus, f(x)=∫(0,x) t^3+2t^2+2dt, and find f"(x). my answer was: f'(x)=x^3+x^2+2 f"(x)=x^4/4 + 2x^3/3 + 2x it said its wrong.
  27. Calculus

    Find the derivative of the following function using the appropriate form of the Fundamental Theorem of Calculus. intergral s^2/(1+3s^4) ds from sqrtx to 1 F'(x)=?
  28. calculus

    Use the fundamental theorem of calculus to evaluate the following integral ∫^π/2 **the bottom is zeroe. |cosx| dx
  29. Calculus Please Need Urgent3 :/

    Find the derivative of the following function using the appropriate form of the Fundamental Theorem of Calculus. F(x)= (s^2)/(1+3s^4)ds from sqrtx to 1 F'(x)=? Thank you so much guys!
  30. Calculus

    Use the second fundamental theorem of calculus to find F'(x) F(x)=The integral from 0 -> x^2 (Sin(x)^2)dx
  31. Calculus

    Use any calculus method to determine extrema, intervals where the function is increasing or decreasing, asymptotes,and points of inflection for y = -x^4 + 2x^3 - x + 2
  32. calculus

    Does anyone know of any free calculus websites? I'm taking a college class in the fall and would like to build my confidence since I am somewhat weak in math. Thank you in advance.
  33. Calculus.......plz help! =)

    Use any calculus method to determine extrema, intervals where the function is increasing or decreasing, asymptotes, and points of inflection for y = -x(x+1)^3
  34. Calculus

    How do I determine the area of a region bounded by a function and the x-axis if given y=cosx and interval is [0,ð/2]. This has to do with the Fundamental Theorem of Calculus. Thanks in advance!
  35. calculus

    How can we verify area of square and rectangle by calculus ?
  36. Calculus Help

    Use calculus to find the area A of the triangle with the given vertices. (0, 0), (3, 1), (1, 8) A = ????
  37. calculus

    Use the Fundamental Theorem of Calculus to find G'(x) if: /x² G(x)= / cos t dt / 1
  38. calculus

    Find the limit of this calculus problem.? (5x-3)/(ln(5+4e^(x)) x=inf
  39. Calculus

    Integrate e^(-x^2/2) dx What branch of calculus is this? Is this differential equations?
  40. calculus

    Find the arc length of the graph of y = x from x = 0 to x = 3 using calculus.
  41. Calculus

    How can I efficiently study for a Calculus test with 8 sections?
  42. Calculus

    In calculus, the sum of an infinite geometric series whose first term is 1/20 is given by the complex fraction 1/20 _____ 1-r where r is the common ratio between the terms. Simplify this expression.
  43. Calculus

    This is a calculus homework question but in reality the problem here is understanding the algebra. Find the Critical Numbers of f(x) = x^(3/5)(4-x) The product rule gives -x^(3/5) + (12-3x)/(5x^(2/5) My booklet explains that simplifying this gives you
  44. calculus

    Why do we end up with f(x) instead of f(t) on the second fundamental theorem of calculus?
  45. calculus

    Can I have a website of Beginner calculus books?
  46. calculus

    Quadratic function written in standard form where a, b, and c are constants such that a is not zero. f(x)= ax^2+bx+c Using calculus find the vertex of the parabola formed by this quadratic function. Determine under what conditions this vertex is a maximum
  47. Calculus I

    Hello! I am taking Calculus I and am in Sec. 4.3 of Stewart's 7th Edition. I ran across a problem that I don't understand the mechanics of, could someone show me? Thanks a bunch! For what values of the numbers a and b does the function f(x)= axe^{b(x^2)}
  48. Calculus: Derivatives

    I'm having trouble understanding what derivatives in calculus (instantaneous speed) is. Can someone please explain it to me, or provide some easy links to learn from? Thanks!
  49. Calculus I Theorem

    I factored and simplified dy/dx of 192x^5 + 96x^3 + 12x all the way down to x^2 = u = (-1/2) and (-1/6). How does the result illustrates part 1 of the Calculus Fundamental Theorem?
  50. CALCULUS

    what is the derivative of ln(x-1)? If you are studying the calculus of logarithms your question surprises me, since that is one of the most basic ones in that topic. in general if y = ln("anything") then y' = 1/"anything" * derivative of "anything" just
  51. COLLEGE CALCULUS. HELP!

    the fundamental theorem of calculus, f(x)=∫(0,x) t^3+2t^2+ 2 dt, and find f"(x). my answer was: f'(x)=x^3+x^2 f"(x)=3x^2+2x it said its wrong. i don't know how solve with interval, ∫(0,x)
  52. Calculus

    estimate the absolute maximum and minimum values of f if any, on the stated interval, and then use calculus methods to find the exact values: f(x)=10ln(x^2+1)-8x; [0,3]
  53. calculus

    Verify the identity: arctanx + arctan(1/x)=∏/2 using calculus theory. (Hint: Differentiate the left hand side of the identity)
  54. Calculus

    Apply the concepts of calculus (limits and derivatives) to describe the graph y = sec(x). Include a quality graph
  55. Calculus--Reiny

    Calculus - Reiny, Friday, December 23, 2011 at 6:59pm I read that as (4a^2-1)/(4a^2-16) * (2-a)/(2a-1) , my brackets are necessary = (2a+1)(2a-1)/( 4(a+2)(a-2) * (2-a)/(2a-1) the (2-a)/(a-2) are opposite, they will give you the -1 so.. = -(2a+1)/(4(a+2)) ,
  56. calculus

    Locate the position of Sun,using calculus---using differential euation on sign curve of Sun's path.
  57. Calculus - Fundamental Thm of Calc

    Suppose F(t) is an antiderivative of t^{3}. Then F'(t)= t^3. According to the Second Fundamental Theorem of Calculus, x ∫ (t^3)dt = ??? 1 Answer using the function F
  58. calculus

    I need help with this calculus problem. H(S)=S/(1+S) If F 1/2, -1/2 & (a+1)? I can't figure out what this mean /?
  59. calculus

    Can someone please tell me what the word "WHOLE" AND "IRRATIONAL" MEAN IN CALCULUS? THANKS
  60. calculus

    Calculus A, Evaluate the following integral : ç (x^2+3x-2)dx
  61. Pre-Calculus

    I am in Honors Pre-Calculus and am having a hard time understanding my teacher. I feel so stupid. Does anyone have any suggestions on a website that might give me some insight into what I am doing wrong? Thanks!
  62. Calculus

    Set up, but do not evaluate, the integral which gives the volume when the region bounded by the curves y = Ln(x), y = 1, and x = 1 is revolved around the line y = -3 I got the integral from 1 to 2.718 of pi(1)^2-pi(ln(x))^2 Is this correct or is there a
  63. math, Calculus

    Need help with these calculus questions, would really appreciate it. Heres a link to the question sheet, http://i45.tinypic.com/28mired.jpg i scanned it and put it on tinypic.com since I'm not sure how to type it up. Would really appreciate the help thank
  64. Calculus

    for the function F(t)=ln(t^2), let f(t)=F'(t). Write the integral from a to b of f(t) dt and evaluate it with the fundamental theorem of calculus. the integral from 1 to 3 ___ dt= __
  65. calculus

    using the fundamental theorem of calculus what is the derivative of the definite integral from x^3 to sqrt x of (sqrt t) sin t dt
  66. Pre Calculus

    Pre Calculus why is sin(-20)/cos 380 equal to tan (-200)
  67. CALCULUS 2

    Use calculus to find the volume of the following solid S: The base of S is an elliptical region with boundary curve 9x^2+4y^2=36. Cross-sections perpendicular to the x-axis are isosceles right triangles with hypotenuse in the base.
  68. Differential Calculus

    Given that p=(2q^2-5)^2. when q=3, it is increased by 0.7%. find the appropriate percentage in p. solution dp = 2(2q^2-5) (2dq) dp = (4x(18-5)(0.7%) dp = 4(13)(0.7%) am lost from here is dp=52x0.7/100= 0.364% Responses Differential Calculus - bobpursley,
  69. Calculus

    Calculus Limit Problem: Evaluate the function at the given numbers (correct to six decimal places). Use the results to guess the value of the limit, or explain why it does not exist. f(x)=cosx-1/sinx x=1, .5, .4, .3, .2, .1, .05, .01 What should I do? A
  70. Calculus

    Calculate the interval of convergence. Sigma from n=1 to infinity of (n!*x^n)/n^n. Calculus - Steve, Friday, July 29, 2016 at 11:52pm try using the ratio test. You should be able to show that the series converges for |x| < e I tried and I got |x|lim
  71. Calculus

    Need an answer to this Calculus Question. I keep getting this type of question wrong. Thanks. Differentiate the Function: y = (3x-1)^2(2-x^4)^2 y =
  72. Calculus

    use te fundamental theorem of calculus to evaluate the integral Integral [0, pi/3] sin^2(x)dx I'm confused on what F(x) should be
  73. Calculus - Fundamental thm of Calc

    Use the Fundamental Theorem of Calculus to find the derivative of f(x)=∫[4,x^2]((1/4)t^2−1)^15 dt
  74. math-calculus

    30/x^2-25 = 3/x-5-2/x+5 i be left with 30 = 3x^2-75-2x^2+50 i not sure what to do? i use the quadratic formula? math-calculus - Steve, Saturday, January 7, 2012 at 3:38pm First, you have to simplify properly: 30/(x^2-25) = 3/(x-5) - 2/(x+5) 30 = 3(x+5) -
  75. Calculus

    If I derive the following, d/dt((a)S(t^2) of (s)^(1/2)ds with S being integral notation (a) being at the bottom of the notation and being a constant (t^2) being at the top of the notation ..I first apply the fundamental theorem of calculus to get..
  76. Calculus

    An important problem in mathematics is that of root finding: that is, given a function f (x), finding any roots of f in an interval. Exact methods exist for many functions: • In the case of a linear function f (x) = ax + b, this is easy. – If a ≠
  77. senior courses

    So far in high school i have taken geometry, algebra 2, and trigonometry. one of my friends is taking calculus and she says its way too difficult. and since i have alot of trouble in algebra and trig myself i don't think calculus would be the right choice
  78. Maths (Calculus)

    A current i = 50sin 100πt mA flows in an electrical circuit. Determine, using integral calculus, its a) Mean Value b) RMS Value each correct to 2 decimal places over the range t = 0 to t = 10 ms I need to do this two way so I was thinking of using the
  79. Calculus

    An object at rest begins moving horizontally on the x-axis, starting at position x(t) = 0 feet at time t = 0 seconds.Suppose, after exactly 2 seconds we measure the position of the object to be 3 feet to the right of the origin AND measure the object to be
  80. Math/ Calculus Please HELP!!!

    An object at rest begins moving horizontally on the x-axis, starting at position x(t) = 0 feet at time t = 0 seconds.Suppose, after exactly 2 seconds we measure the position of the object to be 3 feet to the right of the origin AND measure the object to be
  81. calculus

    My a.p. calculus teacher doesn't know how to do this problem (like many others) so he's giving us 5 points extra credit on our test if we can figure it out, but I don't know how to do it: It's as the lim-->infinity (x+sinx)/(x+cosx) We know the answer
  82. Maths Calculus Derivative Integral - Urgent Please

    Use 2nd Fundamental Theorem of Calculus to find derivative of f(x) = integral of 2x^2 (at the top) to x-5 (at the bottom) of square root of Sin(x)dx
  83. gnozahs

    I removed about ten questions you posted this morning. There was no indication of what you had done, what your thinking was, or what you wanted from us. We are not going to do homework for you. If you want hints on these calculus questions, say so, or ask
  84. math (calculus)

    you have 704m of fencing to enclose 3 adjacent plots(not the same size) you must use calculus to fine the dimensions for which the total area is as large as possible. Find the largest possible total area.
  85. Calculus

    Two cruise ships leave the same point outside St. John’s harbor at noon. Ship A travels west at 20 km/hr, while Ship B travels south at 25 km/hr. Using calculus, determine how fast they are separating from each other at 2:00 p.m.
  86. Math, calculus, advanced functions, pre calculus

    An investments value, V(t) is modelled by the function V(t)=2500(1.15)^2, where t is the number of years after funds are invested A) find the instantaneous rate of change in the value of the investment at t=4, what intervals would you choose? Why? My
  87. Calculus

    For the decomposition of Carbon 14, find the age of a prehistoric cave painting discovered in the Lascaux Caves in southern France if the amount of Carbon 14 has decayed to 14.29%...again using calculus formulas. Not sure how to use this equation (content
  88. calculus book

    sorry i am new to this website. Do any of you know any website that offer free or cheap online book. Calculus Early Transcendentals, 10th Edition NEW! Howard Anton, Irl C. Bivens, Stephen Davis THANK U.
  89. calculus help

    Is there any good calculus websites out there that teach every possible derivative there is? Such as the basic rules of differentiation, product and quotient rules, chain rule? ((I'm really bad a understanding the square roots. )) My book gives me examples
  90. Calculus

    Use the Fundamental Theorem of Calculus to find the area of the region bounded by the x-axis and the graph of y = 4 x3 − 4 x. Answer: (1) Use the Fundamental Theorem of Calculus to find the average value of f(x) = e0.9 x between x = 0 and x = 2.
  91. calculus?

    Hello can u help? I need a solution to calculus problem I have $500.00 to spend on fencing for a garden. The fence for the street side costs $30.00 per foot and the other three sides cost $10.00 per foot. what dimensions will give you a rectangle for the
  92. Pre-Calculus/Trivia

    csc(theta)= 1/x sec(theta)= 1/ sqrt(1-x^2) cot(theta)= sqrt(1-x^2)/x What are these equations used for in real life matters or in regards to calculus? Can't seem to find the answer anywhere :/
  93. calculus

    A) How do you prove that if 0(<or=)x(<or=)10, then 0(<or=)sqrt(x+1)(<or=)10? B) So once that is found, then how can you prove that if 0(<or=)u(<or=)v(<or=)10, then 0(<or=)sqrt(u+1)(<or=)sqrt(v+1)(<or=)10? * calculus - Damon,
  94. Calculus

    A curve is defined by the parametric equations: x = t2 – t and y = t3 – 3t Find the coordinates of the point(s) on the curve for which the normal to the curve is parallel to the y-axis. You must use calculus and clearly show your working, including any
  95. Calculus 2

    Calculus. Mary designed a new viewing window consisting of a rectangle and a semi circle for a fresh water aquarium. The window is as follows and the top is located 10 feet below the water's surface. How much force is on the window?
  96. Applied Calculus-Question for Damon

    Hi, I have two other questions for Applied Calculus but they have graphs and I am unable to post them in here. Is there a way you could help me out with the questions?
  97. Math

    Hi, I have to do a project on the Shell Method in my Geometry class. I have been trying to find information on that topic, but have no luck... can someone point me to the right direction as of what keyword to search for, or is there any sites or books or
  98. calculus

    Find any relative extrema and any points of inflection if they exist of f(x)=x^2+ ln x^2 showing calculus. Please show work in detail so I can follow. Thanks. The answer is no relative max or min and the points of inflection are (1,1) and (-1,1) but I'm
  99. Calculus 2

    Calculus work problem. John bought the following corner lot. Two sides are bounded by 2 roads the back is bounded by a stream that follows the curve y = -x^3 + 8. He wants to build a house in the center of the lot. Where will that be? Please show all work
  100. AP Calculus

    HELP! I'm in calculus class and they keep talking about Taylor series. I don't understand what's going on. Please explain what is Taylor series and what is Mclaurin series and how they are similar and how they are different.