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December 21, 2014

Posts by Calculus


Total # Posts: 36

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 the bus. What fare ...
April 26, 2014

calculus
if y=cosx.sinx find dy/dx
September 19, 2013

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?
March 4, 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 interval. Then f&#...
February 10, 2013

Teddy
Sorry, f(x,y) = 2x+3y, not 3x+3y
January 24, 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. But I'm...
January 24, 2013

math help
1.95*12-15.60
January 24, 2013

math
please help, thanks Simplify (9^x . 3^4x)^2
March 24, 2012

Calculus
Integrate ∫ xsinxcosx dx
February 21, 2012

calculus
∫ t ln(t-2)dt
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 dollar/sq ft. What are the ...
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 y-intercept to two decimal places.)
November 2, 2011

calculus
int_(1)^(2) 6/t^4 dt
September 20, 2011

calc
lim x-> 2- = 2x-x^2/x-2
September 18, 2011

calculus
cos^-1(cos15pi/6)
September 18, 2011

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)
February 13, 2011

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 km over land to a ...
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 use the ...
October 28, 2010

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
October 28, 2010

algebra
yup thats correct =]
October 11, 2010

algebra
yup divide both sides by -17
October 11, 2010

Calculus
that should be less than or equal to for both. 0 (<=) x (<=) 2pi
October 11, 2010

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 the...
October 11, 2010

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.
October 9, 2010

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?
October 7, 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 300 m? (Round to...
October 1, 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 300 m? (Round to...
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
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
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
October 31, 2009

Calculus
no its 8
October 31, 2009

Calculus
I'm asked to find the domain of fuction (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 can not equal three ...
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?
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 happened to the y ...
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.
September 9, 2009

moe
can the expresion -xy^2-y^2 simply to -x
July 15, 2008

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