Saturday
September 20, 2014

# Homework Help: Math: Calculus

CALCULUS ECONOMICS
Consider a market in which consumption of the good being traded generates a positive externality. There are 100 identical consumers, each with a utility function given by (1/2)*(q^(1/2))+m +(G^(1/2)) where G denotes the total level of consumption in the market. The good is ...
Thursday, March 13, 2014 at 4:06pm

CALCULUS ECONOMICS
Consider an oligopolistic market with two firms. Each of them produces using a cost function given by c(q)=q^2. The aggregate demand in the market is given by 1000−p. Suppose that, in order to increase production, the government gives the firms a $100 per-unit produced ... Thursday, March 13, 2014 at 3:58pm CALCULUS ECONOMICS Consider the same setting as in the previous question. Suppose that firms are NOT owned by consumers. Let s denote the size of the per-unit subsidy/tax given to the firms. Let positive values of s denote subsidies, and negative values of s denote taxes. QUESTION: What is the ... Thursday, March 13, 2014 at 3:54pm CALCULUS ECONOMICS Consider an oligopolistic market with two firms. Each of them produces using a cost function given by c(q)=q^2. The aggregate demand in the market is given by 1000−p. Suppose that, in order to increase production, the government gives the firms a$100 per-unit produced ...
Thursday, March 13, 2014 at 3:53pm

CALCULUS ECONOMICS
Consider an economy in which a monopolistic firm serves two identical, but separate markets, called A and B. The aggregate inverse demand in each market is given by 1000−q. The cost function for the monopolist is given by (qA+qB)^2, where qA andqB denotes the amount sold...
Thursday, March 13, 2014 at 3:52pm

CALCULUS ECONOMICS
Consider a market in which aggregate demand is given by 1000−10p, and aggregate supply is given by 10p, where p denotes the market price. QUESTION: What is the maximum amount of revenue that the government can raise using a per-unit sales tax on consumers?
Thursday, March 13, 2014 at 3:50pm

CALCULUS ECONOMICS
Consider the problem of a rational consumer with an experienced utility function given by 8*x^(1/2)+m. Let p=$1 p/unit denote the market price of good x. Suppose that, initially, the firm selling the good matches his purchases as follows: for every x units that he buys, he ... Thursday, March 13, 2014 at 3:49pm CALCULUS ECONOMICS Consider the problem of a rational consumer with an experienced utility function given by 8x√+m. Let p=$1 p/unit denote the market price of good x. Suppose that, initially, the firm selling the good matches his purchases as follows: for every x units that he buys, he ...
Thursday, March 13, 2014 at 3:47pm

Pre-Calculus
Write the polar equation in rectangular form... r=5sintheta
Thursday, March 13, 2014 at 3:28pm

Pre-Calculus
Find the polar coordinates of each point with the given rectangular coordinates. Use degrees. (-4,-3)
Thursday, March 13, 2014 at 3:25pm

Pre Calculus
Write the rectangular equation in polar form... x=3
Thursday, March 13, 2014 at 3:17pm

Pre-Calculus
Find the rectangular coordinates of the point with the given polar coordinates. (3, 150°)
Thursday, March 13, 2014 at 3:15pm

Calculus
Following 2 questions are from a book at a point where L’Hopital’s Rule, Squeeze Theorem etc. have not been discussed and limits (A) and (B) as given below are to be evaluated by simple methods like algebraic simplification etc. 1. Int. of (xlogx)dx from 0 to 1. ...
Thursday, March 13, 2014 at 2:45am

CALCULUS HELP
Find the derivative of the following function showing your work and fully simplifying your answer. STEP BY STEP PLEASE!!! f(x)=(8x-3)^5/(6x+7)^12 THANK YOU SO MUCH!!!
Wednesday, March 12, 2014 at 2:34pm

Calculus
Following 2 questions are from a book at a point where L’Hopital’s Rule, Squeeze Theorem etc. have not been discussed and limits (A) and (B) as given below are to be evaluated by simple methods like algebraic simplification etc. 1. Int. of (xlogx)dx from 0 to 1. ...
Wednesday, March 12, 2014 at 6:13am

Calculus
Show, using limits, that f(x) = x2 – x + 3, is continuous at x = 2.
Wednesday, March 12, 2014 at 2:15am

Calculus
A lighthouse is located on a small island 4 km away from the nearest point P on a straight shoreline and its light makes three revolutions per minute. How fast is the beam of light moving along the shoreline when it is 1 km from P? (Round your answer to one decimal place.)
Tuesday, March 11, 2014 at 10:12pm

Calculus
Two people start from the same point. One walks east at 5 mi/h and the other walks northeast at 7 mi/h. How fast is the distance between the people changing after 15 minutes? (Round your answer to three decimal places.)
Tuesday, March 11, 2014 at 10:11pm

Calculus
Can you tell me if im doing this right? Find the volume of the region obtained by revolving the area below about the line x=3. y=x3, x=2, y=0 v=pi[2,0] (x^3)^3dx= pi[2,0] x^9 v=pi/10 x^10(2,0)= 1024/10 pi
Tuesday, March 11, 2014 at 9:46pm

Find the area between the curves y= x^2/2 +2 and y = –x – 3 on the interval –4 ≤ x ≤ 4. I got 40/3 is that correct?
Tuesday, March 11, 2014 at 9:43pm

Calculus
Can someone help me with finding the derivative of this function? y = -( csc x)2 (cos-1(1-x2))
Tuesday, March 11, 2014 at 9:42pm

Calculus Help
Find the derivative of the following function showing your work and fully simplifying your answer. f(x)=(8x-3)^5/(6x+7)^12 Thank you!!!
Tuesday, March 11, 2014 at 3:36pm

calculus
Find the surface area of the part of the sphere x^2+y^2+z^2=a^2 inside the circular cylinder x^2+y^2=ay (r=a*sin(θ) in polar coordinates), with a>0. First time posting on this website, sorry for the lack of details on my attempts but I am really not sure where to start...
Monday, March 10, 2014 at 10:22pm

Calculus
Determine the equation of the inverse function if f(x) = 2x^2+3, and x≥0. The answer is supposed to be f^-1(x)=[√(2x-6)]/2. This is what I did: x=2y^2+3 2y^2=x-3 y^2=(x-3)/2 y=√[(x-3)/2] Did I do something wrong? Thanks!
Monday, March 10, 2014 at 5:37pm

Calculus
If f(x)= -4x^2+7 and x≤0, what is the equation of the inverse function? The answer is supposed to be f^-1(x)= -[√(7-x)]/2, but this is what I did: x=-4y^2+7 -4y^2=x-7 y^2=(x-7)/-4 y= √[(x-7)/-4] Did I do something wrong? By the way, for the original function...
Monday, March 10, 2014 at 2:12pm

Calculus
Find all points on the graph of the function f(x) = 2 cos x + cos^2 x at which the tangent line is horizontal. (Use n as your arbitrary integer.) smaller y-value (x,y)= larger y-value (x,y)=
Sunday, March 9, 2014 at 10:40pm

Calculus Help
A model for the length of daylight (in hours) in Philadelphia on the tth day of the year is L(t) = 12 + 2.8 sin[(2π/365)(t − 80)]. Use this model to compare how the number of hours of daylight is increasing in Philadelphia on March 21 and April 21. (Assume there are...
Sunday, March 9, 2014 at 9:56pm

Calculus
It requires 8 inch pounds of work to stretch a certain spring 2 inches from its rest position. Assuming that the spring follows hooke's law, what is k? Please answer this question. Thanks for your answers in advance.
Saturday, March 8, 2014 at 8:13pm

Integral calculus
It requires 8 inch pounds of work to stretch a certain spring 2 inches from its rest position. Assuming that the spring follows hooke's law, what is k? Thanks for your answers! :)
Saturday, March 8, 2014 at 7:36pm

calculus
The velocity of a skateboard is v(t) = t^2 - 4 t + 3 m/s when moving in a straight line. A. Find the the change in displacement of the skateboard between 4 seconds and 6 seconds. (Note this may or may not be negative, meaning it goes in the opposite direction, if so then be ...
Saturday, March 8, 2014 at 6:03pm

calculus
\int_{4}^{13} f(x) \,dx - \int_{4}^{11} f(x) \,dx = \int_{a}^{b} f(x) \,dx where a= and b= .
Saturday, March 8, 2014 at 6:02pm

calculus
A long narrow piece of land gets flooded each year by a river. The flooded area is in the shape of the area under the curve y = 2.3 x^3 and above the x-axis, for 0 \le x \le 3.2. All the distances are in metres.
Saturday, March 8, 2014 at 6:01pm

calculus
a. The value of \displaystyle \int_{-2}^{-1} \frac{14}{ 4 x } dx is b. The value of \displaystyle \int_{1}^{2} \frac{14}{ 4 x } dx is
Saturday, March 8, 2014 at 6:01pm

calculus
The following definite integral can be evaluated by subtracting F(B) - F(A), where F(B) and F(A) are found from substituting the limits of integration. \int_{0}^{4} \frac{1600 x +1200 }{(2 x^2 +3 x +1)^5}dx After substitution, the upper limit of integration (B) is : and the ...
Saturday, March 8, 2014 at 6:00pm

calculus
At a summer campfire, the radius of a marshmallow on a stick expands at the rate of \ {r ' (t)} = \frac{2.4 }{3 t + 6} mm/s where t is the time of heating in seconds. Initially the radius was 3.8 mm. Find the radius after 16 seconds using the following steps: When ...
Saturday, March 8, 2014 at 6:00pm

calculus
Ice cream drips out of the bottom of an ice cream cone on a hot day at a rate of r(t) mL per second, as a child eats it slowly, where t is in seconds. If r(t) = 10 e^{-k t}, complete the definite integral expressing the quantity of ice cream lost in the first 3 minutes(s). (...
Saturday, March 8, 2014 at 5:59pm

calculus
At a summer campfire, the radius of a marshmallow on a stick expands at the rate of \ {r ' (t)} = \frac{2.1 }{1 t + 5} mm/s where t is the time of heating in seconds. Initially the radius was 3.8 mm. Find the radius after 27 seconds using the following steps: When ...
Saturday, March 8, 2014 at 5:59pm

calculus
Find the area of the region under the curve y = 16 e ^{4 x} between x = -1.4 to x =1.4 .
Saturday, March 8, 2014 at 5:58pm

calculus
A searchlight rotates at a rate of 3 revolutions per minute. The beam hits a wall located 7 miles away and produces a dot of light that moves horizontally along the wall. How fast (in miles per hour) is this dot moving when the angle \theta between the beam and the line ...
Friday, March 7, 2014 at 7:13pm

calculus
A hot air balloon rising vertically is tracked by an observer located 4 miles from the lift-off point. At a certain moment, the angle between the observer's line-of-sight and the horizontal is \frac{\pi}{3} , and it is changing at a rate of 0.1 rad/min. How fast is the ...
Friday, March 7, 2014 at 7:00pm

Calculus
for what values of r does the function y=e^rx satisfy the differential equation y''-4y'+y=0 Show steps please! Thank you!
Friday, March 7, 2014 at 6:43pm

calculus
A man of height 1.5 meters walk away from a 5-meter lamppost at a speed of 1.8 m/s. Find the rate at which his shadow is increasing in length.
Friday, March 7, 2014 at 6:30pm

calculus
A conical tank has height 3 m and radius 2 m at the top. Water flows in at a rate of 1.4 \text{m}^3\text{/min}. How fast is the water level rising when it is 2.6 m?
Friday, March 7, 2014 at 5:53pm

--- Find the slope m of the tangent to the curve y = 4 + 4x^2 − 2x^3 at the point where x = a. ---- Find equations of the tangent lines at the points (1,6) and (2,4). (1,6) Y(x)= (2,4) Y(x)=
Friday, March 7, 2014 at 4:40pm

c) Estimate the instantaneous rate of growth in 2006 by measuring the slope of the tangent line through (2005, 10237) and (2007, 15005). d) Estimate the instantaneous rate of growth in 2007 by measuring the slope of the tangent line through (2006, 12435) and (2008, 16684). e)...
Friday, March 7, 2014 at 4:07pm

Calculus Help
Find a parabola with equation y = ax^2 + bx + c that has slope 6 at x = 1, slope −14 at x = −1, and passes through the point (2, 17).
Friday, March 7, 2014 at 2:56pm

Criminal justice
1. Which of the following, according to Carl Klockars, is NOT an important consideration in determining whether the good ends of police work justify immoral means in a given scenario? A. Are there other, non-dirty, means that may be effective but that we may be overlooking? B...
Friday, March 7, 2014 at 2:21pm

Consider the function f(x)=4sqrt(x)+4 on the interval [2,5] . Find the average or mean slope of the function on this interval _______ <---A By the Mean Value Theorem, we know there exists a c in the open interval (2,5) such that f'(c) is equal to this mean slope. For ...
Friday, March 7, 2014 at 3:25am

f(x) -2x^3+2x^2-3x+2 Find the average slope of this function on the interval (–3–1) ________ <--A By the Mean Value Theorem, we know there exists a c in the open interval (–3–1) such that f'(c) is equal to this mean slope. Find the value of c in the ...
Friday, March 7, 2014 at 3:23am

Use implicit differentiation to find the points where the parabola defined by x^{2}-2xy+y^{2}-6x+2y+17 = 0 has horizontal and vertical tangent lines. List your answers as points in the form (a,b).
Friday, March 7, 2014 at 2:29am

pre-calculus
Find the real and imaginary zeros for the following polynomial function. T(b)= 147b^3-35b^2-19b+3
Thursday, March 6, 2014 at 12:22am

Math- NOT CALCULUS
The hourly profit ($P) obtained from operating a fleet of n taxis is given by P=-2n^2+84n-45 What is the profit if 20 taxis are on the road? What is the maximum hourly profit? What number of taxis gives the max hourly profit? How much money is lost per hour if no taxis are on ... Wednesday, March 5, 2014 at 8:58pm Pre - calculus Can someone please explain how to simplify this proiblem: cotx/sec^2 + cotx/csc^2 Wednesday, March 5, 2014 at 7:59pm calculus Find the correct values for the equation -x^3 +bx^2 +cx + d, using this information, local min x= -5, local max (1,11). Point of inflection = -2. Wednesday, March 5, 2014 at 11:14am pre calculus Candy and Tim share a paper route. It takes Candy 70 min to deliver all the papers, and it takes Tim 80 min. How long does it take the two when they work together? Tuesday, March 4, 2014 at 12:46am pre calculus Jack invests$1000 at a certain annual interest rate, and he invests another $2000 at an annual rate that is one-half percent higher. If he receives a total of$190 interest in 1 year, at what rate is the $1000 invested? Tuesday, March 4, 2014 at 12:46am Pre-Calculus Find vector a<3,2,-4> X vector b<-6, 9,0> Monday, March 3, 2014 at 6:15pm Pre-Calculus Phil Dawson is a professional place kicker for the Cleveland Browns. On average, he kicks the ball at a 41 degree angle and with an initial speed of 70 feet per second. For future reference, goal posts are 10 feet high in the NFL. a) Write parametric equations to model Dawson... Monday, March 3, 2014 at 6:12pm Pre-Calculus Write an equation in slope-intercept form of the line with the given parametric equations. x=t+6 y=2t-4 Monday, March 3, 2014 at 5:48pm Pre-Calculus Write Parametric equations of -3x+1/2y=2 Monday, March 3, 2014 at 5:46pm Pre-Calculus A 15N force acting at 15 degrees north of east and a 18N force acting at 79 degrees north of west act concurrently on an object. What is the magnitude and direction of a third force that produces equilibrium on the object? Show sketch and work. ------ x-component:: 15*cos(15 ... Monday, March 3, 2014 at 5:44pm pre calculus solve nonlinear inequality x^4 > x^2 Monday, March 3, 2014 at 12:38am calculus Skeletal remains had lost 70% of the C-14 they originally contained. Determine the approximate age of the bones. (Assume the half life of carbon-14 is 5730 years. Round your answer to the nearest whole number.) Sunday, March 2, 2014 at 9:21pm Calculus Help Let P(t) be the percentage of Americans under the age of 18 at time t. The table gives values of this function in census years from 1950 to 2000. (I didnt put the table here because it will not display well so the table has basically t as time from 1950 to 2000 and P(t) values... Sunday, March 2, 2014 at 6:57pm Pre-Calculus Find N if log base 6 (6^7.8)=N Sunday, March 2, 2014 at 5:51pm Pre-Calculus Phil Dawson is a professional place kicker for the Cleveland Browns. On average, he kicks the ball at a 41 degree angle with an initial speed of 70 feet per second. For future reference, goal posts are 10 feet high in the NFL. a) Write parametric equations to model Dawson'... Friday, February 28, 2014 at 8:56pm Pre-Calculus Write Parametric equations of -3x+1/2y=2 Friday, February 28, 2014 at 8:49pm Pre-Calculus Jake serves a volleyball with an initial velocity of 32 feet per second from 4.5 feet above the ground at an angle 0f 35 degrees. a) Write parametric equations to model the situation. b) How far will the ball travel( if it hits the ground)show work Friday, February 28, 2014 at 8:47pm Calculus Please help! The linearization at a=0 to sqrt(1+2x) is A+Bx where A is____ and where B is _____? A=? B=? Ty Friday, February 28, 2014 at 8:20pm Calculus Please help! The differential of the function y=(x^2+6)^3 is dy=______dx. When x=2 and dx=0.05, the differential dy=_______? A) dy=______dx? B) the differential dy=_______? Friday, February 28, 2014 at 8:19pm Calculus Please help! Gravel is being dumped from a conveyor belt at a rate of 30 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always the same. How fast is the height of the pile increasing when the pile is 24 feet high? Recall that... Friday, February 28, 2014 at 3:10pm Calculus Please help! At noon, ship A is 50 nautical miles due west of ship B. Ship A is sailing west at 18 knots and ship B is sailing north at 23 knots. How fast (in knots) is the distance between the ships changing at 3 PM? (Note: 1 knot is a speed of 1 nautical mile per hour.) Friday, February 28, 2014 at 3:02pm Calculus Please help! The altitude of a triangle is increasing at a rate of 2500 centimeters/minute while the area of the triangle is increasing at a rate of 3500 square centimeters/minute. At what rate is the base of the triangle changing when the altitude is 7000 centimeters and the area is 87000... Friday, February 28, 2014 at 2:51pm Calculus Help Use f(x)= 1/(square root(x)+1) to answer the following; -- Use the difference quotient f'(x)=lim z->x (f(x)-f(z))/ (x-z) to find f'(x)! Please show steps!!! Thank you!!! Friday, February 28, 2014 at 12:31pm calculus Find the asymptote, interval of monotonicity, critical points, the local extreme points, intervals of concavity and inflection point of the following functions. Sketch the graph. a)f(x)=|x2 +x-2| Friday, February 28, 2014 at 3:32am Calculus q = f(p) = 10300e^−0.34p a) Find the number of products sold when the price of the product is$5. (Round your answer to the nearest whole number.) Number of products sold: b) Find a formula for the rate of change in the number of products sold when the price is p dollars...
Thursday, February 27, 2014 at 10:11pm

Calculus Help
Let P(t) be the percentage of Americans under the age of 18 at time t. The table gives values of this function in census years from 1950 to 2000. How would it be possible to get more accurate values for P'(t).
Thursday, February 27, 2014 at 5:06pm

calculus
Find the asymptote, interval of monotonicity, critical points, the local extreme points, intervals of concavity and inflection point of the following functions. Sketch the graph. f(x)= x^2-6x/(x+1)^2
Thursday, February 27, 2014 at 2:47pm

calculus
Find the asymptote, interval of monotonicity, critical points, the local extreme points, intervals of concavity and inflection point of the following functions. Sketch the graph. a)f(x)=|x2 +x-2|
Thursday, February 27, 2014 at 2:43pm

calculus I
Find the dimension of the right circular cylinder of the largest volume that can inscribed in a Sphere of radius 10 units.
Thursday, February 27, 2014 at 11:48am

A local Barnes and Noble paid a \$79.33 net price for each calculus textbook. The publisher offered a 10% trade discount. What was the publisher’s list price? (Round your answer to the nearest cent.)
Thursday, February 27, 2014 at 1:14am

math- calculus
You will often see proj (Vector a onto Vector b) written as projb⃗ a⃗ .Show that projb⃗ a⃗ =(a⃗ ⋅b⃗/ b⃗ ⋅b⃗ )*b⃗ .
Wednesday, February 26, 2014 at 8:11pm

ap calculus.linear
i dont clearly understand questions 1 and 2. so the question have to be A+f??? When he was young, Captain Conundrum mowed lawns on weekends to help pay his college tuition bills. He charged his customers according to the size of their lawns at a rate of 5¢ per square foot...
Wednesday, February 26, 2014 at 3:11am

if f(x)= x+(1/x), find f'(x) using the limit definition of derivative. Please show steps!!! Thank you!!!
Tuesday, February 25, 2014 at 7:18pm

Calculus
Evaluate the integral: (cos(2-3x) - tan(5-3x))dx
Monday, February 24, 2014 at 7:23pm

Calculus
A ladder 25 feet long that was leaning against a vertical wall begins to slip. Its top slides down the wall while its bottom moves along the lever ground at a constant speed of 4 ft/sec. How fast is the top of the ladder moving when it is 20 feet above the ground?
Monday, February 24, 2014 at 4:13pm

calculus
h(t)=tan theta (5pie/3,3pie) graph the function on the given interval
Monday, February 24, 2014 at 3:12pm

calculus
Consider the function f(x)=x^n for positive integer values of n. (a) For what values of n does the function have a relative minimum at the origin? (b) For what values of n does the function have a point of inflection at the origin?
Monday, February 24, 2014 at 2:27am

calculus
h(t) = -1/3t^3 + 4t^2 + 20t +2, f or >- 2
Sunday, February 23, 2014 at 7:13pm

calculus
Find the slope of the tangent line to the graph y = x-3 at the point (0.5, 8). Answer -48 -12 4 16
Sunday, February 23, 2014 at 3:00pm

calculus
Describe the slope of the tangent line to the curve defined by x 2 + xy - y 2 = 5 when x = 2. positive negative zero undefined
Sunday, February 23, 2014 at 2:31pm

calculus
Find the equation of the tangent line to the ellipse x 2 + 4y 2 = 25 when x = 3 and y < 0. Answer 3x - 8y = 7 3x - 8y = 25 3x + 8y = 7 3x + 8y = 25
Sunday, February 23, 2014 at 2:25pm

calculus
Solve for x: r(x)=ln (x+2/x-1)
Sunday, February 23, 2014 at 1:04pm

Pre-calculus
C=80,000p/(100-p) A)what happens of the company tries to remove 100 percent of the pollutants? Will it work or will it cost too much? B)draw a diagram to show what the consequences of the last question would be. Label the verticals asymptote(s) and analyze their impact on the ...
Friday, February 21, 2014 at 11:39pm

If 7000 dollars is invested in a bank account at an interest rate of 7 per cent per year. A) Find the amount in the bank after 6 years if interest is compounded annually? B) Find the amount in the bank after 6 years if interest is compounded quaterly? C) Find the amount in the...
Friday, February 21, 2014 at 11:29pm

Use implicit differentiation to find the slope of the tangent line to the curve at the point (1,3) -4x^2+4xy-2y^3=-46 m=____? ty guys so much!
Friday, February 21, 2014 at 11:27pm

Calculus
¡ìdx/(x^2-1)^2
Friday, February 21, 2014 at 10:30am

Calculus
¡ì(up:1 down:0) (x^3 dx)/(x^2+2x+1)
Friday, February 21, 2014 at 9:46am

Calculus
y"-y'=sin x solve in undetermined coefficients
Friday, February 21, 2014 at 7:47am

Calculus
xy'-y=2xlnx
Thursday, February 20, 2014 at 10:20pm

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