# Calculus

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

2. ## Calculus

Integrate ∫ xsinxcosx dx

3. ## 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?

4. ## calculus

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

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

6. ## 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

7. ## Calculus

Convert (x-1)^2 +y^2=1 to a polar equation

8. ## 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?

9. ## 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 ( ) ( ) ( )

10. ## 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?

11. ## calculus

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

12. ## 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

13. ## 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)

14. ## 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

15. ## 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

16. ## calculus

if y=cosx.sinx find dy/dx

17. ## 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

18. ## 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.

20. ## calculus

∫ t ln(t-2)dt

21. ## 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

22. ## 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.)

23. ## calculus

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

24. ## calc

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

25. ## calculus

cos^-1(cos15pi/6)

26. ## 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)

27. ## 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

28. ## 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.

29. ## 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

30. ## 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

31. ## 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

32. ## 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

33. ## 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

34. ## 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?

35. ## 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

36. ## 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.

37. ## moe

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

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