Calculus

Most popular questions and responses by Calculus
  1. Deepa

    A bus service carries 10 000 people daily between Ajax and Unoin Station, and the company has space to serve up to 15 000 people per day. The cost to ride the bus is 20$. Market research shows that if the fare increases by $0.50, 200 fewer people will ride

    asked on April 26, 2014
  2. Calculus

    Integrate ∫ xsinxcosx dx

    asked on February 21, 2012
  3. Related Rates Problem

    A runner sprints around a circular track of radius 150 m at a constant speed of 7 m/s. The runner's friend is standing at a distance 300 m from the center of the track. How fast is the distance between the friends changing when the distance between them is

    asked on October 1, 2010
  4. Math Help Please

    An oil refinery is located on the north bank of a straight river that is 2 km wide. A pipeline is to be constructed from the refinery to storage tanks located on the south bank of the river 6 km east of the refinery. The cost of laying pipe is $400,000 per

    asked on October 28, 2010
  5. Calculus

    A runner sprints around a circular track of radius 150 m at a constant speed of 7 m/s. The runner's friend is standing at a distance 300 m from the center of the track. How fast is the distance between the friends changing when the distance between them is

    asked on October 1, 2010
  6. calculus

    This is problem 16 Section 4.6 page 246. A closed box with square base is to be built to house an ant colony. The bottom of the box and all four sides are to be made of material costing dollar/sq ft, and the top is to be constructed of glass costing

    asked on November 11, 2011
  7. Calculus - maximum problem

    An isosceles trapezoid is inscribed under the graph oof y =cos x. what are the dimensions which will give the greatest area?

    asked on October 26, 2009
  8. calculus

    cos^-1(cos15pi/6)

    asked on September 18, 2011
  9. math

    9. An isosceles triangle is drawn with its vertex at the origin and its base parallel to the x-axis. The vertices of the base are on the curve Find the area of the largest such triangle.

    asked on October 9, 2010
  10. calculus

    !  2. Check the convergence property of the series ∑ √  

    asked on April 23, 2019
  11. Calculus

    I'm asked to find the domain of !@#$%^&tion (x+5)/(x-3) saying that x is all reals except for x can not equal three is wrong correct? Because i can evalue function when x = 3 as follows 3 + 5 = 8 so saying that the function has range x is a reals except x

    asked on October 31, 2009
  12. physics

    A man 2 m tall is walking away from a lamppost which is 6m tall at a rate of 2 m/s. Find the rate of change of a)the tip of the shadow b) the length of his shadow

    asked on February 17, 2010
  13. Chris

    The curve y = x/(1 + x^2) is called a serpentine. Find an equation of the tangent line to this curve at the point (2, 0.40). (Round the slope and y-intercept to two decimal places.)

    asked on November 2, 2011
  14. Anonymous

    Find the area of the region shared by the circle r=2 and the cardioid r=2(1-cosx) (that x is supposed to be theta, and as you can see it's in polar mode)

    asked on February 13, 2011
  15. Teddy

    f(x,y) = 3x + 3y Show that for any epsilon in: |2x + 3y - 5| < epsilon There is a delta value: sqrt((x - 1)^2 + (y - 1)^2) < delta Solve for delta in terms of epsilon ------ I understand that this is a proof that the limit of f(x,y) as (x,y) -> (1,1) is 5.

    asked on January 24, 2013
  16. calculus

    int_(1)^(2) 6/t^4 dt

    asked on September 20, 2011
  17. Calculus

    ok I don't understand how this was done inergral(y2 and y1) pgywdy = 1/2 pgw(y2^2 - Y1^2) ok it's been a while sense calc I rember you add one to the power of the term that was a dervitative and divide by that power hence (1/2)(y2^2 - Y1^2) but what

    asked on October 24, 2009
  18. Jess

    Let f(x)=3x^3 +7.5x +1. In this problem you will estimate f'(3) by computing the average rate of change of f(x)over a small interval. Round your answers to three decimal places. First choose the interval of length .1 with 3 being the left endpoint of the

    asked on February 10, 2013
  19. Calculus

    f(x) = 6(cos(x))^2 - 12sin(x) 0 ¡Ü x ¡Ü 2(PI) I have to find where the interval is increasing, decreasing, local mins and maxs, inflection points, and concave up and down. I understand how to do these type of problems. I am just getting messed up with

    asked on October 11, 2010
  20. calculus

    sin(cos^-1(x/2))= draw right triangle to simplify

    asked on May 16, 2016
  21. Calculus

    Find all points on the graph of the function f(x) = 2 cos(x) + (cos(x))2 at which the tangent line is horizontal. Consider the domain x = [0,2π). I have pi/2 and 3pi/2 for x values. But when I plug them I get zero. Is this correct as y values or am I

    asked on January 11, 2016
  22. calculus

    if y=cosx.sinx find dy/dx

    asked on September 19, 2013
  23. Calculus

    Find the critical numbers of the function g(t)=|5t-7| If you find g'(t) you just get 5 so would there be no critical numbers? Or am I missing something?

    asked on October 7, 2010
  24. calculus

    An open box is to be made. This box is to have a bottom and four sides, but no top. The box is to be made from paper that is 7" by 12". Maximize the volume and find the height.

    asked on September 9, 2009
  25. moe

    can the expresion -xy^2-y^2 simply to -x

    asked on July 15, 2008
  26. math

    please help, thanks Simplify (9^x . 3^4x)^2

    asked on March 24, 2012
  27. calc

    lim x-> 2- = 2x-x^2/x-2

    asked on September 18, 2011
  28. calculus

    Find the maximum value of the function f(x,y) = 9x2−9xy+y3 on the closed rectangle whose corners are the points (1,1), (1,−1), (−1,1) and (−1,−1)

    asked on October 10, 2015
  29. Homework

    a wire length 12 meters is cut into two parts; one part is bent to form a square, and the other is bent to form an equilateral triangle. Where the cut should be made if A. The sum of the two areas is to be a minimum? B. The sum of the two areas is to be a

    asked on March 19, 2015
  30. Calculus

    Given the function f(x)= sqrtx a) Let M= f´´(50) and N=f''(49). Argue on that f´´(x) lies between M og N if x =]49,50[ (Tip: show that f´´(x) is increasing function, that is look at f´´´(x)). b) Use the numbers from parta a) and define K as the

    asked on March 15, 2015
  31. Shayna

    Find the value of a so that the function f(x) = xe^(ax) has critical point at x = 9 I found that the derivative is axe^(ax)+e^(ax) But I am not sure where to go from here?

    asked on March 4, 2013
  32. calculus

    ∫ t ln(t-2)dt

    asked on February 5, 2012
  33. Calculus

    can someone please explain h t t p : / / w w w . j i s k h a . c o m / d i s p l a y . c g i ? i d = 1 2 5 7 0 4 1 1 4 5

    asked on November 1, 2009
  34. Calculus

    can someone please explain h t t p : / / w w w . j i s k h a . c o m / d i s p l a y . c g i ? i d = 1 2 5 7 0 4 1 1 4 5

    asked on October 31, 2009
  1. math help

    1.95*12-15.60

    posted on January 24, 2013
  2. Teddy

    Sorry, f(x,y) = 2x+3y, not 3x+3y

    posted on January 24, 2013
  3. calculus

    find f'(x) set f'(x)=0 to find the critical values. when looking for the min and max include the intervals with the critical numbers f'(x)= [2x(x^2+4)-(2x(x^2-4)]/[(x^2+4)^2] simplify.... and set equal to zero

    posted on October 28, 2010
  4. calculus

    Find the derivative of f(x) which gives you f'(x). Set f'(x)=0 this will give you the critical values. and you use those to find the max and min. F'(x)= 101x^100 + 51x^50 + 1 0= 101x^100 + 51x^50 +1 the easiest way to find the critical numbers would be to

    posted on October 28, 2010
  5. algebra

    yup that's correct =]

    posted on October 11, 2010
  6. algebra

    yup divide both sides by -17

    posted on October 11, 2010
  7. Calculus

    that should be less than or equal to for both. 0 (

    posted on October 11, 2010
  8. Calculus

    no its 8

    posted on October 31, 2009