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November 21, 2014

Homework Help: Math: Calculus

Recent Homework Questions About Calculus

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Calculus and vectors
Velocity represents the slope of a displacement function. Suppose an object was moving to the right, then stopped, then continued moving to the right. What would the displacement function look like?
Monday, December 16, 2013 at 8:54am

Calculus and vectors
it would appear that for any thrown object has a height that can be expressed using a quadratic expression. The maximum height occurred in the middle of the two zero values. Will this always be the case? What if the ball were thrown from a platform of height 1 m?
Monday, December 16, 2013 at 8:53am

Pre-Calculus
Is it possible to factor x^3 - 9x^2 + 24x - 20 and solve for x by hand? I tried using the grouping method and got x^2(x-9) + 4(6x-5) but how can I continue solving for x? If I use a calculator I get x= 2 and 5 but is it possible to find this by hand? thanks
Monday, December 16, 2013 at 1:11am

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. Between y = x2 − 4x + 1 and y = −x2 + 4x − 5 for x in [0, 3]
Sunday, December 15, 2013 at 9:45pm

calculus hw
What is the area bounded by y=x^2 and y=x^3-2x?
Sunday, December 15, 2013 at 2:08pm

Physics/Calculus
A spherical oil tank with a radius of 10 feet is half full of oil that weighs 60 pounds per cubic foot. Its top is 6 feet underground. How much work is needed to pump the oil out of the tank through a hole in its top? How do I solve this? Does the fact that it its top is 6 ...
Sunday, December 15, 2013 at 12:24pm

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. HINT [See Example 3.] Enclosed by y = x and y = x^4
Sunday, December 15, 2013 at 2:14am

Pre Calculus
Find an expression equivalent to sec theta tan theta/ sin theta.
Saturday, December 14, 2013 at 9:12pm

Pre Calculus
Find an expression equivalent to sec theta tan theta/ sin theta.
Saturday, December 14, 2013 at 8:53pm

Calculus
A spherical oil tank with a radius of 10 feet is half full of oil that weighs 60 pounds per cubic foot. Its top is 6 feet underground. How much work is needed to pump the oil out of the tank through a hole in its top? How do I solve this? Does the fact that it its top is 6 ...
Saturday, December 14, 2013 at 8:13pm

Calculus (Please check my work.)
This is my last chance to make at least a C in my AP Calculus course, so please tell me if I got these right or wrong so that I can fix them before it's due. Also, there was one I wasn't sure how to do, so if you can help me with that, it would be much appreciated! 1)...
Saturday, December 14, 2013 at 9:25am

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

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