# Posts by calculus

Total # Posts: 41

**calculus**

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

**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 solving it wrong? I ...

**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)

**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 Maximum?

**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...

**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 ...

**calculus**

if y=cosx.sinx find dy/dx

**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?

**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&#...

**Teddy**

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

**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...

**math help**

1.95*12-15.60

**math**

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

**Calculus**

Integrate ∫ xsinxcosx dx

**calculus**

∫ t ln(t-2)dt

**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 ...

**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.)

**calculus**

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

**calc**

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

**calculus**

cos^-1(cos15pi/6)

**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)

**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 ...

**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 ...

**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

**algebra**

yup that's correct =]

**algebra**

yup divide both sides by -17

**Calculus**

that should be less than or equal to for both. 0 (<=) x (<=) 2pi

**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...

**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.

**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?

**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...

**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...

**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

**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

**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

**Calculus**

no its 8

**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 ...

**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?

**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 ...

**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.

**moe**

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