Calculus
Popular questions and responses by Calculus
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 
Calculus
Integrate ∫ xsinxcosx dx
asked on February 21, 2012 
Calculus
Find the critical numbers of the function g(t)=5t7 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 
calculus
sin(cos^1(x/2))= draw right triangle to simplify
asked on May 16, 2016 
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 
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 
Calculus
Convert (x1)^2 +y^2=1 to a polar equation
asked on May 13, 2020 
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 
calculus
List the critical numbers of the following function in increasing order. Enter N in any blank that you don't need to use. g(x)=2x^1/3−2x^−2/3 ( ) ( ) ( )
asked on December 13, 2019 
Calculus
A wire 16 meter long has to be molded in a rectangular shape. What dimensions about the rectangle has to be used to manimize the cost?
asked on November 21, 2019 
calculus
! 2. Check the convergence property of the series ∑ √
asked on April 23, 2019 
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 
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 
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 
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 
calculus
if y=cosx.sinx find dy/dx
asked on September 19, 2013 
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 
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 
math
please help, thanks Simplify (9^x . 3^4x)^2
asked on March 24, 2012 
calculus
∫ t ln(t2)dt
asked on February 5, 2012 
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 
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 yintercept to two decimal places.)
asked on November 2, 2011 
calculus
int_(1)^(2) 6/t^4 dt
asked on September 20, 2011 
calc
lim x> 2 = 2xx^2/x2
asked on September 18, 2011 
calculus
cos^1(cos15pi/6)
asked on September 18, 2011 
Anonymous
Find the area of the region shared by the circle r=2 and the cardioid r=2(1cosx) (that x is supposed to be theta, and as you can see it's in polar mode)
asked on February 13, 2011 
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 
math
9. An isosceles triangle is drawn with its vertex at the origin and its base parallel to the xaxis. The vertices of the base are on the curve Find the area of the largest such triangle.
asked on October 9, 2010 
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 
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 
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 
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 
Calculus
I'm asked to find the domain of !@#$%^&tion (x+5)/(x3) 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 
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 
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 
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 
moe
can the expresion xy^2y^2 simply to x
asked on July 15, 2008

math help
1.95*1215.60
posted on January 24, 2013 
Teddy
Sorry, f(x,y) = 2x+3y, not 3x+3y
posted on January 24, 2013 
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^24)]/[(x^2+4)^2] simplify.... and set equal to zero
posted on October 28, 2010 
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 
algebra
yup that's correct =]
posted on October 11, 2010 
algebra
yup divide both sides by 17
posted on October 11, 2010 
Calculus
that should be less than or equal to for both. 0 (
posted on October 11, 2010 
Calculus
no its 8
posted on October 31, 2009