Monday

December 22, 2014

December 22, 2014

**Recent Homework Questions About Calculus**

Post a New Question | Current Questions

**Calculus**

How do you show that the minimum average cost occurs when the average cost equals the marginal cost?
*Saturday, December 14, 2013 at 8:40am*

**Math (pre calculus)**

Solve 2^3-x = 5^2x+1 Give an exact solution.
*Thursday, December 12, 2013 at 6:48pm*

**Math (pre calculus)**

The population of a certain town grows from 10,000 in 1982 to 35,000 in 1995. At this rate, in what year will the population reach 300,000? Tip* Population growth formula: P = P(subzero)multiplied by e^(k)(t)
*Thursday, December 12, 2013 at 6:37pm*

**Calculus**

Lim x to 3 (-x^2)/((x^2)- 6x + 9) substitution i get -9/0 factoring i get same answer would that mean the answer is infinity? if not how could i prove that it isn't infinity
*Thursday, December 12, 2013 at 5:32pm*

**calculus **

use a sign chart to solve inequality. Express answers in interval notation. x^2+6<2x
*Thursday, December 12, 2013 at 4:46pm*

**Calculus PLEASE HELP**

Show that the maximum profit occurs when the marginal revenue equals the marginal cost. I'm pretty sure this is supposed to be some sort of proof, but I have no idea how to even start it...
*Thursday, December 12, 2013 at 5:29am*

**Calculus**

Assume that the rate of population growth of ants is given by the equation: dP/dt=.1P(1 - P/730)-(129000/7300) a. If P(0)=150, what happens to P as t gets very large? b. If P(0)=800, what happens to P as t gets very large? c. If P(0)=800, what happens to dP/dt as t gets very ...
*Wednesday, December 11, 2013 at 10:35pm*

**Calculus**

Show that the maximum profit occurs when the marginal revenue equals the marginal cost. I'm pretty sure this is supposed to be some sort of proof, but I have no idea how to even start it...
*Wednesday, December 11, 2013 at 8:21pm*

**Calculus**

Find the area of the indicated region. We suggest you graph the curves to check whether one is above the other or whether they cross, and that you use technology to check your answer. (Round your answer to three decimal places.) Between y = e^x and y = x for x in [1, 2]
*Wednesday, December 11, 2013 at 6:58pm*

**Calculus**

Find the area of the indicated region. We suggest you graph the curves to check whether one is above the other or whether they cross, and that you use technology to check your answer. Enclosed by y = x^2 − 4x + 1 and y = −x^2 + 4x − 5
*Wednesday, December 11, 2013 at 6:35pm*

**Calculus**

Find the area of the indicated region. We suggest you graph the curves to check whether one is above the other or whether they cross, and that you use technology to check your answer. Enclosed by y = x^2 − 4x + 1 and y = −x^2 + 4x − 5
*Wednesday, December 11, 2013 at 6:34pm*

**Calculus**

Solve the differential and initial value problem: x(dy/dx) + 1 = y^2 y(1)=0 I tried using bernoulli and it didn't quite work.
*Tuesday, December 10, 2013 at 8:39pm*

**pre calculus**

2k^2+5k-9
*Tuesday, December 10, 2013 at 6:30pm*

**pre calculus**

2k^2+5k-9=0
*Tuesday, December 10, 2013 at 6:26pm*

**pre calculus**

x^2-3x-7=0
*Tuesday, December 10, 2013 at 6:03pm*

**pre calculus**

x^2-3/4x+1/8=0
*Tuesday, December 10, 2013 at 5:58pm*

**pre calculus**

2x^2+11x-21=0
*Tuesday, December 10, 2013 at 12:39pm*

**calculus**

Imagine making a tent in the shape of a right prism whose cross-section is an equilateral triangle (the door is on one of the triangular ends). Assume we want the volume to be 2.2 m3, to sleep two or three people. The floor of the tent is cheaper material than the rest: assume...
*Tuesday, December 10, 2013 at 1:01am*

**calculus**

Differentiate 3x+2(37,500,000/x) I know the answer is suppose to be 3(x^2-25,000,000)/x^2 but I'm not sure how to get there.
*Monday, December 9, 2013 at 10:27pm*

**Calculus **

Y=5x^4 -24x^3+24x^2+17 is concave down for which interval? A) x<0 B) x>0 C) x<-2 or x>-2/5 D) x<2/5 or x>2 E) 2/5 < x < 2 I know you take the second derivative...but I keep getting stuck with something that won't factor right?
*Monday, December 9, 2013 at 5:10pm*

**Calculus**

If x^2=25-y^2, what is the value of [(d^2)(y)]/(dx^2) at the point (3,4)?
*Monday, December 9, 2013 at 4:54pm*

**calculus**

the tangent line to the curve y=x^2 at the point (a,a^2) passes through the point (2,1) find all possible values of a. Thank you so much!!
*Monday, December 9, 2013 at 4:28pm*

**CALCULUS!!!!!**

At 9am, ship B was 65 miles due east of another ship, A. Ship B was then sailing due west at 10 miles per hour, and A was sailing due south at 15 miles per hour. If they continue their respective courses, when will they be nearest one another?
*Monday, December 9, 2013 at 6:44am*

**Differential Calculus**

At 9am ship B is 65 miles due east of another ship A. Ship B is then sailing due west at 10mi/h and A is sailing due south at 15 mi/hr if they continue in their respective course when will they be nearest to one another? and how near?
*Monday, December 9, 2013 at 6:05am*

**Pre calculus**

Why is it dangerous to use the law of sines to find an angle but is not dangerous to use the law of cosines? Please explain this thoroughly.
*Sunday, December 8, 2013 at 10:00pm*

**calculus**

a farmer wants to make a rectangular pen from 200 feet of fencing. he plans to use a 100 foot wall along with some of the fencing to make one side of the pen. find the dimensions of the pen that will make the enclosed area as large as possible.
*Sunday, December 8, 2013 at 9:17pm*

**Calculus PLEASE HELP**

Given that C(x)=2x^3-21x^2+36x+1000 is a cost function, determine the intervals for which the cost is increasing. Determine any intervals for which the marginal cost is increasing. Marginal cost is when you derive the cost function, correct? So do you do the second derivative ...
*Saturday, December 7, 2013 at 6:23pm*

**Calculus**

Given that C(x)=2x^3-21x^2+36x+1000 is a cost function, determine the intervals for which the cost is increasing. Determine any intervals for which the marginal cost is increasing. Marginal cost is when you derive the cost function, correct? So do you do the second derivative ...
*Saturday, December 7, 2013 at 4:01pm*

**Calculus**

Using the equations R(x)=-x^2+400x and C(x)=x^2+40x+100, find the Maximum Revenue
*Saturday, December 7, 2013 at 2:43pm*

**Calculus (check my work)**

Find the marginal revenue at x=10 using the equation R(x)=-x^2+80x Is the answer 60?
*Saturday, December 7, 2013 at 2:04pm*

**Calculus**

Find the maximum revenue using the following equations: R(x)=-x^2 +400x and C(x)=x^2+40x+100. What I've done so far is use R(x) and solve for x, which got me 0 and 400. Is that how you're supposed to start it? What happens next? (I apologize; I'm really bad at ...
*Saturday, December 7, 2013 at 1:38pm*

**Calculus**

Check my work? The equations given were R(x)=-x^2+400x and C(x)=x^2+40x+100. We were asked to find the maximum profit and minimum average cost. (I'm having trouble remembering how to find a minimum and maximum, so please help with that, if you can!) For Max Profit, I got $...
*Saturday, December 7, 2013 at 12:31pm*

**Calculus**

How do you find maximum revenue, maximum profit, and minimum average cost? Our teacher gave us a project to teach ourselves the section, but I can't learn very well even with her teaching, so I don't know how I'm supposed to do this...
*Saturday, December 7, 2013 at 11:39am*

**Calculus**

Consider the function f(x)=2x+6x^(-1). For this function, there are three numbers A<B<C which are either critical or not in the domain of the function. A= B= C=
*Saturday, December 7, 2013 at 12:36am*

**calculus**

find the area of y=x sqrt(x^2+16), bound by the x-axis and the vertical line x=3 I got 22.5 is that correct?
*Saturday, December 7, 2013 at 12:07am*

**Pre-Calculus**

Solve the equation 2x + 5y - 3z = -1. Write the general solution as a matrix equation. I did some guessing and ended up getting this much: [x]= [-1/2 _ _ ] X [1] [y]= [ 0 1 0 ] X [s] [z]= [ 0 0 1 ] X [t] however I still can't figure out the last two values in the first row
*Friday, December 6, 2013 at 7:39pm*

**Pre-Calculus**

Solve the equation 2x + 5y - 3z = -1. Write the general solution as a matrix equation. [x] [ ] [1] [y]= [ ] X [s] [z] [ ] [t] I'm supposed to fill in that blank in the middle, but I don't understand how to solve this if I'm only given one equation. please explain
*Friday, December 6, 2013 at 1:28am*

**Pre-Calculus**

convert to the alternate form to exponential form. a) 5^4=625 b) e^x=y c) log.001=x I really need help on these problems i have no idea how to do it? pls help me i need to study for it on my exam.
*Friday, December 6, 2013 at 1:25am*

**Math - Calculus I**

Optimization Problem: Find the dimensions of the right circular cylinder of greatest volume inscribed in a right circular cone of radius 10" and height 24"
*Thursday, December 5, 2013 at 9:36pm*

**Calculus**

In the interval (0 is less than or equal to x which is less than or equal to 5), the graphs of y=cos(2x) and y=sin(3x) intersect four times. Let A, B, C, and D be the x-coordinates of these points so that 0<A<B<C<D<5. Which of the definite integrals below ...
*Thursday, December 5, 2013 at 8:05pm*

**Calculus**

What is the integral of (x*f(x))dx?
*Thursday, December 5, 2013 at 6:40pm*

**Calculus**

I'm a little confused with this integration problem: If the definite integral from 0 to 2 of (e^(x^2)) is first approximated by using two inscribed rectangles of equal width and then approximated by using the trapezoidal rule with n=2, the difference between the two ...
*Thursday, December 5, 2013 at 5:05pm*

**Pre-Calculus**

Consider the chemical reaction aC2H6 + bCO2 + cH2O → dC2H5OH, where a, b, c, and d are unknown positive integers.? The reaction must be balanced; that is, the number of atoms of each element must be the same before and after the reaction. For example, because the number ...
*Wednesday, December 4, 2013 at 9:25pm*

**Calculus**

Let R be the region bounded by the curve x=9y-y^2 and the y- axis. Find the volume of the solid resulting from revolving R about the line y= -6. I believe the integral limits are from y=0 to y-9 i set up h(x) = 9y-y^2 r(x) = y+6 I am not sure if this is correct Can anyone help...
*Wednesday, December 4, 2013 at 9:18pm*

**calculus**

let f:[0,1] - [0,1] be continuous function .show that there exist a in [0,1] such that f(a)=a
*Wednesday, December 4, 2013 at 5:30pm*

**Calculus I don't understand**

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y = 10 x and y = 5 x^2 about y =0 Find the volume of the solid obtained by rotating the region bounded by y=8 x^2, x = 1, and y = 0 , about the x-axis. I saw some...
*Wednesday, December 4, 2013 at 2:53pm*

**Calculus volume stuff**

Find the volume of the solid obtained by rotating the region bounded y = 16 x and y = 2 x^2 about y =0 Find the volume of the solid obtained by rotating the region bounded about the x-axis by y=4x^2, x =1, and y = 0 Find the volume of the solid generated by rotating the region...
*Wednesday, December 4, 2013 at 2:27pm*

**CALCULUS MAJOR HELP!!!!!!**

Find the volume of the solid obtained by rotating the region bounded y = 16 x and y = 2 x^2 about y =0 Find the volume of the solid obtained by rotating the region bounded about the x-axis by y=4x^2, x =1, and y = 0 Find the volume of the solid generated by rotating the region...
*Wednesday, December 4, 2013 at 12:56pm*

**Calculus**

The first boat is sailing towards the North at the speed of 6 km per hour and sees that another boat is heading east at the speed of 5 km per hour. The second boat is to the northwest of the first boat. what is the minimum distance between two boats, assuming that they do not ...
*Tuesday, December 3, 2013 at 8:35pm*

**calculus**

(x/y)-x^2 =1 implicit ?
*Tuesday, December 3, 2013 at 3:23pm*

**Calculus**

Evaluate cos[2arctan(2)] Need step by step for this one. Thanks
*Tuesday, December 3, 2013 at 3:20pm*

**calculus**

A display case is in the shape of a rectangular box with a square base. Suppose the volume is 21 cubic ft and it costs $1 per square ft. to build the glass top and $0.50 per sq. ft. to build the sides and base. If x is the length of one side of the base, what value should x ...
*Tuesday, December 3, 2013 at 12:09pm*

**Math**

Hello I am having trouble with a pre-calculus problem. The problem is ln|Sin2X-CosX-1|=0 if you could help by listing the steps to solve that would be great! Thanks!
*Monday, December 2, 2013 at 10:11pm*

**Calculus**

Gerber Banana Plum Granola costs $0.89 per 5.5-oz serving; each serving contains 140 calories, 31 g of carbohydrates, and 0% of the recommended daily allowance of vitamin C. Gerber Mixed Fruit Carrot Juice costs $0.79 per 4-oz serving; each serving contains 60 calories, 13 g ...
*Monday, December 2, 2013 at 9:24pm*

**Calculus kinda with the area of two curves**

II don't even know where to start with this can anyone help?!? Find c>0 such that the area of the region enclosed by the parabolas y=x^2-c^2 and y=c^2-x^2 is 270.
*Monday, December 2, 2013 at 2:42pm*

**calculus area between three curves**

find the area of the region for 2y=4sqrt(x) , y=3, and 2y+3x=7
*Monday, December 2, 2013 at 2:12pm*

**Calculus**

Find limit as x->-3 of (sin(4x+12))/(5x+15)
*Monday, December 2, 2013 at 8:00am*

**Calculus Please Help!!**

"A 13-foot ladder is leaning against a building when its base begins to slide away from the base of the building. By the time the base is 12 feet from the building, the base is moving at the rate of 6 ft/sec. How fast is the top of the ladder sliding down the wall at that...
*Sunday, December 1, 2013 at 7:09pm*

**CALCULUS HELP!!**

I haven't done this type of problem in a while, so if someone can just show me how to set it up, I can figure out the rest. (: "A 13-foot ladder is leaning against a building when its base begins to slide away from the base of the building. By the time the base is 12 ...
*Sunday, December 1, 2013 at 3:51pm*

**college calculus**

I don't know how to solve this indefinite integral with both limits as variables: ^x^3 ç (z^4+1)dz ⌄ln(x) If you could explain I'd appreciate it.
*Saturday, November 30, 2013 at 10:36pm*

**calculus (optimization)**

a rectangular study area is to be enclosed by a fence and divided into two equal parts, with the fence running along the division parallel to one of the sides. if the total area is 384 square feet, find the dimensions of the study area that will minimize the total length of ...
*Saturday, November 30, 2013 at 2:54am*

**math**

Resource allocation podunk institute of technology’s math deaprtment offers two cources: finite math and applied calculus.each section of finite math has 60 studnets, and each section of applied calculus has 50. The department is allowed to offer a total of up to 110 ...
*Friday, November 29, 2013 at 4:19pm*

**Calculus**

Find the consumers' surplus and the producers' surplus at the equilibrium price level for the given price-demand and price supply equations. p = D(x) = 170e^-0.001x p = S(x) = 35e^0.001x a) The value of x at the equilibrium is ___ b) The value of p at equilibrium is $...
*Wednesday, November 27, 2013 at 7:51pm*

**Calculus - Definite Intergrals**

Find the consumers' surplus and producers' surplus for p = D(x) = 71 - (1/10)x and p = S(x) = 35 + (1/20)x
*Wednesday, November 27, 2013 at 7:46pm*

**Calculus**

S=Integral xdx/sqrt(x-1). I have proceeded thus- Put sqrt(x-1)=u then x=u^2+1 and dx/sqrt(x-1)=2du. S=(u^2+1)2du/u =(2u+2/u)du=u^2+2 log u +C =(x-1)+ 2 log sqrt(x-1)=(x-1)+log(x-1)+C Required answer is 2/3*(x+2)sqrt(x-1)+C Have I proceeded correctly and if so can these 2 ...
*Wednesday, November 27, 2013 at 7:22am*

**Calculus**

How can I get partial sums of a series on a TI 89 calculator?
*Tuesday, November 26, 2013 at 4:20pm*

**Calculus **

600 feet of fencing to enclose a rectangular plot If I don't fence one side what is the length and width of the plot that maximized the area?
*Monday, November 25, 2013 at 11:08pm*

**Calculus - Volume By Integration**

Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the y-axis: y=(x-2)^3-2, x=0, y=25 Solve by either the disk or washer method. I calculated the volume using the shell method and got 1250pi. However, I can't figure ...
*Monday, November 25, 2013 at 1:00pm*

**Calculus**

Calculate 20 terms for the sequence P0=-.5 and k=1.8, P0=.5 and k=2.8, and P0=.3 and k=1.8. Does the limit depend on the choice of P0? Does it depend on the choice of k?
*Monday, November 25, 2013 at 7:14am*

**Calculus 1**

Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis. y=8-x^2, y= x^2 ; about x=2 V=?
*Sunday, November 24, 2013 at 11:57pm*

**Science, Physics, math, calculus**

You would like to shoot an orange out of a tree with your bow and arrow. The orange is hanging 5.00 m above the ground. You fire the arrow at 35.0 m/s oriented 30.0° above the horizontal from a height of 1.30 m while standing 47.0 m away on your first try. You may neglect ...
*Sunday, November 24, 2013 at 11:31pm*

**Science, Physics, math, calculus**

Pool players often pride themselves on their ability to impart a large speed on a pool ball. In the sport of billiards, event organizers often remove one of the rails on a pool table to allow players to measure the speed of their break shots (the opening shot of a game in ...
*Sunday, November 24, 2013 at 11:29pm*

**Science, Physics, math, calculus**

A toy rocket is fired at v0 = 41.2 m/s at an angle of è = 73.8 degrees with respect to the horizontal on flat level ground. Assuming that air resistance is negligible, what is its maximum height (H) and how far (R) will the rocket have traveled in the horizontal ...
*Sunday, November 24, 2013 at 11:25pm*

**Calculus 1**

Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis. y=8-x^2, y= x^2 ; about x=2 V=?
*Sunday, November 24, 2013 at 11:16pm*

**Calculus **

The area A of the region S that lies under the graph of the continuous function is the limit of the sum of the areas of approximating rectangles. A = lim n → ∞ [f(x1)Δx + f(x2)Δx + . . . + f(xn)Δx] Use this definition to find an expression for the ...
*Sunday, November 24, 2013 at 11:10pm*

**Calculus Area between curves**

Consider the area between the graphs x+6y=8 and x+8=y2. This area can be computed in two different ways using integrals First of all it can be computed as a sum of two integrals where a= , b=, c= and f(x)= g(x)= I found a, but not b or c. I can't seem to figure out f(x) ...
*Sunday, November 24, 2013 at 10:20pm*

**Calculus - Volume by Integration**

Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the y-axis: y=(x-2)^3-2, x=0, y=25 (a)solve by either the disk or washer method (b)solve by the shell method (c)state which method is easiest to apply
*Sunday, November 24, 2013 at 11:41am*

**Calculus**

An observer stands at a point P, one unit away from a track. Two runners start at the point S in the figure and run along the track. One runner runs 2 times as fast as the other. Find the maximum value of the observer's angle of sight è between the runners. Thank ...
*Saturday, November 23, 2013 at 10:31pm*

**Calculus**

Find the point on the line -6 x + 5 y - 1 =0 which is closest to the point ( -4, 1 )
*Saturday, November 23, 2013 at 3:22pm*

**Calculus Area between curves**

Evaluate the definite integral: sqrt(8-2x) lower limit=-7 upper limit=0 I got -(1/3)(8-2x)^(3/2) and it was wrong. Please Help! Thanks in advance!
*Friday, November 22, 2013 at 8:05pm*

**Calculus Help!!!**

Find c > 0 such that the area of the region enclosed by the parabolas y=x^2-c^2 and y=c^2-x^2 is 13.
*Thursday, November 21, 2013 at 10:32pm*

**Calculus**

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. x+y^2=42, x+y=0
*Thursday, November 21, 2013 at 10:29pm*

**Calculus Area between curves**

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 3y+x=3 , y^2-x=1
*Thursday, November 21, 2013 at 10:22pm*

**Calculus-Area between curves **

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=4*sqrt(x) , y=5 and 2y+4x=8 please help! i've been trying this problem the last couple days, even asked a TA for help, but i can't ...
*Thursday, November 21, 2013 at 10:16pm*

**Calculus - Integrals **

The projected rate of increase in enrollment at a new college is estimated by dE/dt = 6,000(t+1)^-3/2 where E(t) is the projected enrollment in t years. If the enrollment is 3,000 now (t=0), find the projected enrollment 15 years from now.
*Thursday, November 21, 2013 at 5:51pm*

**Fundamental Theorm of Calculus**

Find the average value of f(x)=7x^{-2} on the interval [1,5]
*Wednesday, November 20, 2013 at 7:59pm*

**Fundamental Theorm of Calculus**

Find the average value of f(x)=3x^2-2 x on the interval [3,6]
*Wednesday, November 20, 2013 at 7:36pm*

**Fundamental Theorm of Calculus **

Use a definite integral to find area of the region under the curve y=7-4x^2 and above the x-axis. Thanks in advance!
*Wednesday, November 20, 2013 at 5:13pm*

**Calculus Fundamental Theorem**

Evaluate the definite integral. function: (t+8)(t^2+3) with respect to variable t lower limit: -sqrt(2) upper limit: sqrt(2)
*Wednesday, November 20, 2013 at 4:49pm*

**Calculus Fundamental Theorem**

Evaluate the definite integral. function: x+13 with respect to variable x lower limit:0 upper limit:22
*Wednesday, November 20, 2013 at 4:47pm*

**Math (Calculus)**

Tower 1 is 60 ft high and tower 2 is 20 ft high. The towers are 140 ft apart. A guy wire is to run from point A to the top of each tower. [See a picture of this situation on page 274 of the textbook.] How many feet from tower 1 should point A be so that the total length of guy...
*Wednesday, November 20, 2013 at 2:30am*

**Pre-Calculus**

A piece of equipment has cost function C(x)=50x^2 + 1000 and its revenue function is R(x)= 500x - x^2, where x is in thousands of items. What is the least number of items that must be sold in order to break even? 50x^2 + 1000 = 500x - x^2 50x^2 + x^2 + 500= 0 51x^2 + 500 = 0 ...
*Wednesday, November 20, 2013 at 1:38am*

**Pre-Calculus**

The graph of f(x)= (x^2 - 11x + 18)/(x-9) consists of a line and a hole. Find the equation of the line and the coordinates of the hole. I really have no idea how to do this. I tried factoring it and ended up with (x-2), but I don't know how that helps me. please help
*Tuesday, November 19, 2013 at 10:05pm*

**Calculus**

Given f''(x)= -4sin(2x) and f'(0)=4 and f(0) =-6. Find f(pi/2)
*Tuesday, November 19, 2013 at 9:17pm*

**Calculus**

Consider the function f(x) whose second derivative is f''(x)=5x+2sin(x). If f(0)=3 and f'(0)=3, what is f(3)?
*Tuesday, November 19, 2013 at 7:21pm*

**Pre-Calculus**

What is the equation of the line passing through (4, 2) and perpendicular to the line passing through the points (9,7) and (11,4)? Here's what I did: (7-4)/(9-11) = -3/2 y-2= (-2/3)(x-4) y-2=(-2x/3) + (8/3) y = (-2x/3) + 14/3 but the answer key says that it's y=(2x/3...
*Tuesday, November 19, 2013 at 8:22am*

**brief calculus**

x/(x − 6)^2 I get ln(x-6)- 6/(x-6)+ C but it isn't correct, what should the answer be?
*Monday, November 18, 2013 at 11:22pm*

**Calculus**

Find the number b such that the line y = b divides the region bounded by the curves y = 4x2 and y = 1 into two regions with equal area. (Round your answer to two decimal places.)
*Monday, November 18, 2013 at 8:45pm*

**Calculus**

Consider the function f(x)=(7/x^2)-(6/x^6). Let F(x) be the antiderivative of f(x) with F(1)=0. Then F(2) equals _____.
*Monday, November 18, 2013 at 8:16pm*

**Calculus**

A piece of wire 40 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle. How much of the wire should go to the square to minimize the total area enclosed by both figures?
*Monday, November 18, 2013 at 8:08pm*

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