Monday

January 26, 2015

January 26, 2015

**Recent Homework Questions About Calculus**

Post a New Question | Current Questions

**Calculus **

Limit as x approaches (pi/2)^- of (x-pi/2)*secx
*Monday, April 21, 2014 at 12:26pm*

**Calculus**

Limit as x approaches 0 of x(1-cosx)/t-sinx. Confused on how to get this answer.
*Monday, April 21, 2014 at 12:25pm*

**Calculus **

Determine the behavior of limits A. Limit as x approaches 1 of: (log x)/((x-1)^2) B. Limit as x approaches infinity of: ((x-1)^2)/(log x))
*Monday, April 21, 2014 at 9:44am*

**Calculus **

Evaluate limit as x approaches 0 of: csc^2(7x)tan(2x^2)
*Monday, April 21, 2014 at 9:42am*

**calculus**

u have 7 different pass codes from a choice of 8 numbers how many possible outcomes are there
*Sunday, April 20, 2014 at 2:04pm*

**Calculus Help **

A high-speed bullet train accelerates and decelerates at the rate of 4 ft/s2. Its maximum cruising speed is 90 mi/h. (Round your answers to three decimal places.) (a) What is the maximum distance the train can travel if it accelerates from rest until it reaches its cruising ...
*Saturday, April 19, 2014 at 3:55pm*

**calculus help**

What constant acceleration is required to increase the speed of a car from 22 mi/h to 50 mi/h in 3 s? (Round your answer to two decimal places.)
*Saturday, April 19, 2014 at 3:42pm*

**calculus**

x^4 + 2x^2 + 1 = 0 (x^2)^2 +2x^2 +1 = 0 (x^2 + 1)^2 = 0 I don't know where to go now although I know the answer is x = i, -i
*Saturday, April 19, 2014 at 9:03am*

**calculus**

Let f x coth x . Use the Graph software posted in Moodle to do the following: (a) Graph f x . (b) Graph the tangent and normal lines to the graph of f x at x 1. (c) Graph f x . (d) ...
*Saturday, April 19, 2014 at 3:19am*

**Calculus Please Need Urgent3 :/**

Find the derivative of the following function using the appropriate form of the Fundamental Theorem of Calculus. F(x)= (s^2)/(1+3s^4)ds from sqrtx to 1 F'(x)=? Thank you so much guys!
*Saturday, April 19, 2014 at 12:39am*

**Calculus Please Need Urgent2 :/**

Consider the function f(x) whose second derivative is f''(x)=8x+4sin(x). If f(0)=3 and f'(0)=2, what is f(x)? f(x)=??
*Saturday, April 19, 2014 at 12:38am*

**Calculus Please Need Urgent :/**

Find the most general antiderivative of f(x)=–8e^x–6secant^2(x) where -pi/2<x<pi/2 Note: Any arbitrary constants used must be an upper-case "C". F(x)=?
*Saturday, April 19, 2014 at 12:37am*

**Calculus Help Please!**

If f(x)=Integral (t^3+6t^2+4)dt from 0 to x then f''(x)=?
*Saturday, April 19, 2014 at 12:34am*

**Calculus Help and Check**

1)Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative. Remember to use ln |u| where appropriate.) f(x) = (1/5)−(3/x) -----> (x/5)-3lnx+C 2)Find f. f ''(x) = 4 + 6x + ...
*Friday, April 18, 2014 at 10:47pm*

**Calculus Help Please Urgent!!!**

A piece of wire 14 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle. (a) How much wire should be used for the square in order to maximize the total area? 14 m this one I got right (b) How much wire should be used...
*Friday, April 18, 2014 at 6:57pm*

**Calc**

Find the derivative of the following function using the appropriate form of the Fundamental Theorem of Calculus. intergral s^2/(1+3s^4) ds from sqrtx to 1 F'(x)=?
*Friday, April 18, 2014 at 4:37am*

**Calculus**

Find the derivative of the following function using the appropriate form of the Fundamental Theorem of Calculus. intergral s^2/(1+3s^4) ds from sqrtx to 1 F'(x)=?
*Friday, April 18, 2014 at 4:34am*

**calculus**

A bug crawls along the graph of 2 y x x 4 1 , where x and y are positive and measured in centimeters. If the x-coordinate of the bug’s position x y, changes at a constant rate of 3 cm/min, how fast is the y-coordinate changing ...
*Friday, April 18, 2014 at 3:48am*

**calculus **

A person 150cm tall is walking away from a lamp post at the rate of 15 meter per minute. when the man is 2.5m from the lamp post, his shadow is 3m long. Find the rate at which the length of the shadow is increasing when he is 7m from the lamp post.
*Friday, April 18, 2014 at 1:09am*

**Calculus**

Given f(3)=4 and f'(3)=5, find g'(3), where g(x)=8x.f(x)
*Thursday, April 17, 2014 at 1:17pm*

**Calculus**

An open top box with a square base is to be made so that it holds 3 cubic feet. Assuming the material on the base costs $3 per square foot and the material on the sides costs $2 per square foot, determine the size of the base that minimizes the total cost.
*Wednesday, April 16, 2014 at 11:09pm*

**CALCULUS **

The base of S is a circular disk with radius 3r. Parallel cross-sections perpendicular to the base are isosceles triangles with height 8h and unequal side in the base. a. set up an interval for volume of S b. by interpreting the intergal as an area, find the volume of S
*Wednesday, April 16, 2014 at 9:49pm*

**calculus help**

find y' and y'' for the equation below. Show work please!!! y= (x^3)/((x+1)^2)
*Wednesday, April 16, 2014 at 6:53pm*

**calculus help**

Produce graphs of f that reveal all the important aspects of the curve. Then use calculus to find the intervals of increase and decrease and the intervals of concavity. f(x)= 1+(1/x)+(5/x^2)+(1/x^3) find the interval of increase. find the interval of decrease. find the ...
*Wednesday, April 16, 2014 at 5:37pm*

**calculus help check and help **

if an object with mass m is dropped from rest, one model for its speed v after t seconds, taking air resistance into account is v= mg/c(1-e^(-ct/m)) where g is the acceleration due to gravity and c is a positive constant describing air resistance. a) calculate lim t->...
*Wednesday, April 16, 2014 at 5:01pm*

**calculus **

consider the equation below f(x)=e^(7x)+e^(-x) find the intervals on which f is increasing and decreasing (enter your answers using interval notation) find the local minimum of f. find the interval on which f is concave up.
*Wednesday, April 16, 2014 at 4:24pm*

**calculus help**

Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x)= ln(x) , [1,6] If it satisfies the hypotheses, find all numbers c that satisfy the conclusion of the Mean Value Theorem. (Enter your answers as a comma-separated list. If it does not...
*Wednesday, April 16, 2014 at 4:15pm*

**calculus help**

explain fully what trick you must use in order to us L'Hospital's rule for indeterminate powers?
*Wednesday, April 16, 2014 at 3:33pm*

**Calculus Help!!!!!**

sketch the graph of the following. Show all your work and include all the important points and asymptotes. also find y' and y'' ? y= (x^3)/(x+1)^2
*Wednesday, April 16, 2014 at 3:21pm*

**Calculus Help Please!!!**

Ornithologists have determined that some species of birds tend to avoid flights over large bodies of water during daylight hours. It is believed that more energy is required to fly over water than land because air generally rises over land and falls over water during the day. ...
*Wednesday, April 16, 2014 at 2:26pm*

**calculus help please **

A piece of wire 14 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle. (a) How much wire should be used for the square in order to maximize the total area? = 14 m (b) How much wire should be used for the square in ...
*Tuesday, April 15, 2014 at 10:10pm*

**calculus help**

If C(x) = 12000 + 600x − 0.6x^2 + 0.004x^3 is the cost function and p(x) = 1800 − 6x is the demand function, find the production level that will maximize profit. (Hint: If the profit is maximized, then the marginal revenue equals the marginal cost.)
*Tuesday, April 15, 2014 at 8:35pm*

**Calculus Help Please Urgent!!!**

A cone-shaped paper drinking cup is to be made to hold 30 cm^3 of water. Find the height and radius of the cup that will use the smallest amount of paper. (Round your answers to two decimal places.) Height = ? Radius = ? Show work please!!!
*Tuesday, April 15, 2014 at 8:06pm*

**Calculus II**

Compute the first 5 terms of the sequence: {b(n)}n=1-> infinity = nsqrt(6n) + (5/6)^n. ((that is:(Bsub(n))from n=1 to infinity = nth root of 6n + (5/6)raised to n.)) If the sequence converges, find the limit.
*Tuesday, April 15, 2014 at 1:08pm*

**Calculus II**

Consider the sequence: (a,sub(n))={1/n E(k=1 to n) 1/1+(k/n)} Show that the limit(as n-> infinity) A(sub(n))= ln 2 by interpreting a(sub(n)) as a Reimann Sum of a Definite Integral.
*Tuesday, April 15, 2014 at 1:07pm*

**calculus**

find average value of f [0,10] f(x)= 3/x+1
*Tuesday, April 15, 2014 at 12:47am*

**calculus**

A box is contructed out of two different types of metal. The metal for the top and bottom, which are both square, costs $5 per square foot and the metal for the sides costs $2 per square foot. Find the dimensions that minimize cost if the box has a volume of 40 cubic feet.
*Monday, April 14, 2014 at 11:41pm*

**calculus**

false
*Monday, April 14, 2014 at 11:09pm*

**Calculus II**

Compute the first 5 terms of the sequence: {b(n)}n=1¨‡ = nã6n + (5/6)^n. ((that is:(Bsub(n))from n=1 to infinity = nth root of 6n + (5/6)raised to n.)) If the sequence converges, find the limit.
*Monday, April 14, 2014 at 5:44pm*

**Calculus 2**

In the following series x is a real number. In each case, use the ratio test to determine the radius of convergence of the series. Analyze the behavior at the endpoints in order to determine the interval of convergence. a. Summation n=0 to infinity (n(x^n))/(n^2 + 2) b. ...
*Monday, April 14, 2014 at 2:55pm*

**Calculus Help Please Urgent!!!**

find the limit algebraically. Use L'Hospital's Rule where appropriate. If there is a moare elementary method, consider using it. If L'Hospital's Rule doesn't apply, explain why lim -> 0 (cot(x)-(1/x)) show work please!!!
*Sunday, April 13, 2014 at 10:39pm*

**Calculus**

ABC Daycare wants to build a fence to enclose a rectangular playground. The area of the playground is 900 square feet. The fence along three of the sides costs $5 per foot and the fence along the fourth side, which will be made of brick, costs $10 per foot. Find the length of ...
*Sunday, April 13, 2014 at 9:48pm*

**calculus**

A population of a very rare insect in an area in a discrete rural region in ASEAN will grow at a rate that is proportional to their current population. In the absence of any outside factors, the population will triple in two weeks’ time. On any given day there is a net ...
*Sunday, April 13, 2014 at 12:19am*

**calculus**

The top and bottom margins of a rectangular poster are 6 centimeters each, and the side margins are 4 centimeters each. If the area printed on the poster is fixed at 384 cm2, a) Sketch the figure. b) Find the dimensions of the poster using the least amount of paper.
*Sunday, April 13, 2014 at 12:17am*

**calculus**

in the following series x is a real number. In each case use the ratio test to determine the radius of convergence of the series. Analyze the behavior of the series at the endpoints in order to determine the interval of convergence. A) (nx^n)/(n^2 + 2) B)((n^2)(x-2)^n)/2^n C...
*Saturday, April 12, 2014 at 9:18pm*

**Calculus**

For what values of x is the graph of y=x e^{-4 x} concave down?
*Saturday, April 12, 2014 at 5:07pm*

**CALCULUS**

Sketch the region enclosed by the given curves. y = tan 3x, y = 2 sin 3x, −π/9 ≤ x ≤ π/9 then then find the area. i can sketch but cant find correct area
*Saturday, April 12, 2014 at 4:06pm*

**CALCULUS PLEASE HELP **

The birth rate of a population is b(t) = 2300e0.024t people per year and the death rate is d(t)= 1450e0.018t people per year, find the area between these curves for 0 ≤ t ≤ 10
*Saturday, April 12, 2014 at 4:05pm*

**CALCULUS **

Sketch the region enclosed by the given curves. y = 4/X y = 16x, y = 1X/16 x > 0 and the area between the curves
*Saturday, April 12, 2014 at 3:13pm*

**Pre-Calculus**

How to solve this problem by using logarithm: David inherits $10000 and invests in a Guaranteed Investment Certificate (GIC) that earns 6%, compounded semi-annually. How long will it take for the GIC to be worth $11000.
*Saturday, April 12, 2014 at 1:04pm*

**Calculus**

When one-sided limits are not equal to each other at a point, what can be said about the continuity of the function at that point? I know that when one-sided are not equal to each other then the limit does not exist at that point. but i do not know what can be said about the ...
*Friday, April 11, 2014 at 2:18am*

**Calculus**

Use the alternate definition, lim x->a f(x)-f(a)/x-a, to determine the instantaneous rate of change of f(x)= 1/x at the point (1,1/5) a)1/5 b)-1/5 c)1/25 d)-1/25
*Friday, April 11, 2014 at 1:26am*

**Calculus**

Would you be able to help me with a couple of questions? thanks in advanced! 1. I am given the graph f(x)=x^2-2x. I have to draw a line tangent to the point (0,0). Then, I have to estimate the slope at that point. how would I go about answering this question? would I first ...
*Thursday, April 10, 2014 at 9:31pm*

**Calculus**

I was wondering if you would be able to check if my answers are correct: 1. An oil tank is being drained for cleaning. After t minutes there are v litres of oil left in the tank, where v(t)=40(20-t)^2, 0<=t<=20. Determine the rate of change at the time t=10. For this ...
*Thursday, April 10, 2014 at 4:44pm*

**Calculus**

I am stuck on both of these questions. Would you please tell me if my reasoning is correct? 1. An object is dropped off a building. When comparing the average velocity of the object over equal time intervals, explain the difference between early time intervals and later time ...
*Thursday, April 10, 2014 at 1:19am*

**Calculus**

which of the following is not a type of break in the graph? a) holes b) horizontal asymptotes c) jumps d) vertical asymptotes I know for sure that a is not the answer and i doubt that c is the answer. I think the answer would be b. 2. Describe what can be inferred about the ...
*Wednesday, April 9, 2014 at 10:40pm*

**calculus**

find indefinite integral ((e^-x)-(1))/((e^-x)+(x))
*Wednesday, April 9, 2014 at 9:32pm*

**calculus**

find indefinite integral of (e^-x)-(1)/(e^-x+(x)^2 dx
*Wednesday, April 9, 2014 at 8:59pm*

**Calculus**

I am re-posting this question because i wrote the incorrect function last time. An oil tank is being drained for cleaning. After t minutes there are v litres of oil left in the tank, where v(t)=35(25-t)^2, 0<=t<=25 a) determine the average rate of change of volume during...
*Wednesday, April 9, 2014 at 8:53pm*

**Calculus**

Evaluate ∫(2x^3/√(1-x^4))dx I can't figure out what u and du is... please help thanks
*Wednesday, April 9, 2014 at 5:02pm*

**Calculus**

A rocket fired straight in the air is being tracked by a radar station 3 miles from the launching pad. If the rocket is travelling at 2 miles per second, how fast is the distance between the rocket and the tracking station changing at the moment when the rocket is 4 miles in ...
*Wednesday, April 9, 2014 at 1:59pm*

**Calculus**

I have a couple of questions and i wanted to know if my answers are correct. Thanks in advanced! 1. Determine the values of x for which the function f(x)=x+2/x-2 is discontinuous Would the answers be x=2 because the function would be undefined? 2. An oil tank is being drained ...
*Wednesday, April 9, 2014 at 1:42pm*

**Calculus Help Please!!! Urgent!!!**

If x^3 - y^3 =3 , use only implicit diff. to find d^2y/dx^2 . Express your answer in terms of x and y only and write is as a proper fraction that is completely simplified as much as possible. d^2y/dx^2= -6x/y^5 (this is the answer I should get but i dont know how to show steps...
*Wednesday, April 9, 2014 at 1:35pm*

**Calculus Help Please!!!**

A radioactive substance has a half-life of 4 days. Suppose we have 800 mg of this substance. a) Find the equation of the mass remaining after t days. Use the exact value for k not a decimal approximation. b) Rounding your answer to the nearest tenth of a mg, find the mass ...
*Wednesday, April 9, 2014 at 12:23pm*

**Calculus**

So,y(t) = 2.5e^-t cos2t I need to find the derivative, which is y'(t)= -2.5e^-t(2sin 2t +cost 2t) . And now I need to find t when y'(t) = 0 (I know 2.5 e^-t is never zero.) I need to use trigonometry identity to find it ?
*Wednesday, April 9, 2014 at 6:22am*

**Calculus**

What are two conditions that must be met before the Extreme Value Theorem may be applied?
*Tuesday, April 8, 2014 at 11:03pm*

**Calculus**

What is the end-behavior asymptote for f(x)=(x^2+4x-5)/(x-2) ? There is an oblique asymptote at y=x+6 and a vertical asymptote at x=2. Is one of those the end-behavior asymptote?
*Tuesday, April 8, 2014 at 10:44pm*

**Calculus Help Please!!! Check **

If a rock is propelled upward from the surface of Mars at a velocity of 93 m/sec, it reaches a height s = 93t – 1.86t^2 after t sec. a. Find the rock’s velocity and acceleration at time t. v'(t)=93-3.72t a''(t)=-3.73 b. How long does it take the rock to ...
*Tuesday, April 8, 2014 at 8:05pm*

**Calculus Help Please!!!**

Consider the function f(x)= x −1≤ x< 0 f(x)=tan(x) 0≤ x ≤ π/4 a. Draw a neat sketch of this function. b. Is f(x) continuous at x = 0? (Justify your answer.) c. Is f(x) differentiable at x = 0? (Justify your answer.) show steps! Thanks!
*Tuesday, April 8, 2014 at 8:03pm*

**Calculus Help Please!!! Check **

If a rock is propelled upward from the surface of Mars at a velocity of 93 m/sec, it reaches a height s = 93t – 1.86t^2 after t sec. a. Find the rock’s velocity and acceleration at time t. v'(t)=93-3.72t a''(t)=-3.73 b. How long does it take the rock to ...
*Tuesday, April 8, 2014 at 2:21pm*

**Calculus Help Please**

Consider the implicit function ln(xy)-cos^-1(x-1)=x a. Find dy/dx. b. Find y when x = 1. c. Find the equation of the tangent line in slope-intercept form when x = 1. Show steps please! Thanks!
*Tuesday, April 8, 2014 at 1:08pm*

**Calculus Help Please!!!**

Find dy/dx for the following: a. y = x^π b. y = π^x c. y = x^x d. y = π^π e. xy = π
*Tuesday, April 8, 2014 at 1:04pm*

**Calculus Help Please!!!**

Find the equation in slope intercept form of the tangent line and the normal line to the curve x^2+4xy+y^2=13 at the point.(2,1). show steps please!!! thank you!
*Tuesday, April 8, 2014 at 12:56pm*

**Calculus Help Please!!!**

If x^3 - y^3 =3 , use only implicit diff. to find d^2y/dx^2 . Express your answer in terms of x and y only and write is as a proper fraction that is completely simplified as much as possible.
*Tuesday, April 8, 2014 at 1:44am*

**pre calculus**

determine whether the equation defines y as a function of x. √x + y = 12
*Tuesday, April 8, 2014 at 1:13am*

**Calculus Help Please!!! URGENT!!!!**

Carbon-14 has a half-life of 5700 years. In a living organism, the ratio of radioactive carbon-14 to ordinary carbon remains fairly constant during the lifetime of the organism. After the organism’s death no new carbon is integrated into the organism’s remains, so ...
*Monday, April 7, 2014 at 11:21pm*

**Calculus Help**

The County Roads Department is stockpiling salt for use next winter. The salt is being unloaded from railroad cars by a conveyor belt at a rate of 20 cubic feet per minute. The salt falls into a conical pile whose diameter at the base is four times the height of the pile. At ...
*Monday, April 7, 2014 at 11:03pm*

**Calculus Help**

find dy/d(theta) theta=2 , if y=sin(pi/(square root(theta^2+5))) Show steps thanks!!!
*Monday, April 7, 2014 at 9:17pm*

**Calculus Help Please!!!**

show all of the algebraic steps in finding lim x->0 (sin2x)/(2x-tanx) I know the answer is 2 but I need the steps thank you!
*Monday, April 7, 2014 at 9:14pm*

**foundation differential calculus**

an object is moving according to the following equation s(t) = 5t - 15t^2 + t^2 s in meter and t in second. 1) identify the times when the distance is maximum and minimum and clearly identify the points. 2)Evaluate the speed at the times in a. Also find the speed and ...
*Monday, April 7, 2014 at 9:02pm*

**Calculus**

Two full 48-gallon tanks begin draining at t = 0. Tank Alpha's volume is changing at a constant rate of -16/5 gal/min. The rate at which Tank Bravo's volume is changing is given by r(t)=-1/3t-1 gal/min. a) How much water is in each tank after 5 minutes? b) Which tub ...
*Monday, April 7, 2014 at 6:42pm*

**Calculus II**

the gamma function r(x) is defined by r(x)= integral from 0 to infinity of x^n-1(e^-1)dx where n>0. Use integration by parts to show that r(n+1)=nr(n).
*Monday, April 7, 2014 at 5:03pm*

**Calculus**

Using f(x), determine a formula for the Riemann Sum S_n obtained by dividing the interval [0, 4] into n equal sub-intervals and using the right-hand endpoint for each c_k. f(x)= 5x+2 Now compute the limit as n goes to infinity S_n to compute the area under the curve over [0,4].
*Monday, April 7, 2014 at 12:11pm*

**calculus I**

the height (in meters) of a projectile shot vertically upward from a point 2 m above ground level with initial velocity of 24.5 m/s is h=2+24.5t-4.9t^2 after t seconds. Find the velocity after 2s and 4 s?
*Monday, April 7, 2014 at 1:13am*

**physics/calculus**

I need help in calculating work. following quantites are given. * G: 6.67E-11 *Mass of earth:5.98E24 *mass of satelightt:80kg *x(initial) center of the earth-7E6 m *x(final) center of the earth 12E6 m How do I make integral equation I need use 20 interval.
*Monday, April 7, 2014 at 1:04am*

**calculus**

How to solve 2.5e^-t cos2t=0?
*Sunday, April 6, 2014 at 11:32pm*

**Discrete Math**

There are 150 students taking Discrete Mathematics II, Calculus II, and Physics I courses. Of these 51 are taking Discrete Mathematics II, 111 are taking Calculus II, and 63 are taking Physics I. There are 41 taking Discrete Mathematics II and Calculus II, 32 students taking ...
*Sunday, April 6, 2014 at 11:29pm*

**Calculus II**

the gamma function r(x) is defined by r(x)= integral from 0 to infinity of x^n-1(e^-1)dx. find r(1), r(2), r(3)
*Sunday, April 6, 2014 at 4:47pm*

**Calculus II**

using integration by partial fraction, prove that pi + integral from 0 to 1 of x^4(1-x)^4/1+x^2 = 22/7
*Sunday, April 6, 2014 at 4:40pm*

**Calculus A 14**

Please Help.... A hard-boiled egg at 98℃ is placed in a sink of 18℃ water to cool. After 5 minutes, the eggs temperature is found to be 38° C. a) Find the value of P in Newton’s Law of Cooling. b) Find the value of the constant k rounded to nearest ...
*Sunday, April 6, 2014 at 3:08pm*

**Calculus**

When a reservoir is created by a dam,50 fish are introduced into the reservoir ,which has an estimated carrying capacity of 8000 fish. A logistic model of the population is P(t)= 400,000 / 50 + 795e^-0.5t , where t is measured in years. How long does it take for the population...
*Saturday, April 5, 2014 at 10:24pm*

**Pre calculus**

Find all roots f(x)- x^3+2x^2-15x+30 Factor f(x) completely. I can't find any roots and always get a remainder with 1, -1, 2, -2 What do you do if you cannot find a root?? Using Calc button on ti84 I got X= -5.619 Y=1.4E-11 Still can't find zeros...
*Saturday, April 5, 2014 at 10:31am*

**Calculus Help Please!!!**

does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = 2x^2 − 5x + 1, [0, 2] If it satisfies the hypotheses, find all numbers c that satisfy the conclusion of the Mean Value Theorem. (Enter your answers as a comma-separated list...
*Friday, April 4, 2014 at 11:12pm*

**Calculus Help**

When a foreign object lodged in the trachea (windpipe) forces a person to cough, the diaphragm thrusts upward causing an increase in pressure in the lungs. This is accompanied by a contraction of the trachea, making a narrower channel for the expelled air to flow through. For ...
*Friday, April 4, 2014 at 10:52pm*

**Calculus Help Please!!!**

Consider the following. f(x) = 8x(square root of (x − x^2)) Use a graph to find the absolute maximum and minimum values of the function to two decimal places.
*Friday, April 4, 2014 at 9:16pm*

**Calculus Help Please!!!**

Verify the given linear approximation at a = 0. Then determine the values of x for which the linear approximation is accurate to within 0.1. (Enter your answer using interval notation. Round your answers to three decimal places.) ln(1 + x) ≈ x Y1= I ln(1+x)-x I Y2= 0.1 ...
*Friday, April 4, 2014 at 8:45pm*

**Calculus**

Find the polynomial end-behavior asymptote in the graph of f(x)=(2x^3 +6x-1)/(x+2)
*Friday, April 4, 2014 at 2:14pm*

**Calculus**

Given f(x)=−2x^3 -3x + 1, the value of the derivative of the inverse function, f^−1(x) at x=−21 is (f^1)′(−21)= ? please explain how to solve this
*Thursday, April 3, 2014 at 11:53pm*

**Pre calculus **

Find a unit vector in the direction of the given vector. v=(1,-1)
*Thursday, April 3, 2014 at 9:58pm*

**Pre calculus**

P=(-2,2) Q=(3,4) S=(2,-8) PS-3PQ Find the component form and magnitude of the vector.
*Thursday, April 3, 2014 at 9:01pm*

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