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February 27, 2015

February 27, 2015

**Recent Homework Questions About Calculus**

Post a New Question | Current Questions

**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*

**Calculus**

Determine whether the series is convergent or divergent. If it is convergent, find its sum. If it is divergent, enter NONE. sum from 1 to infinity of (5^n+4^n)/20^n It is convergent, but I do not know how to find the sum.
*Thursday, April 3, 2014 at 1:15pm*

**Calculus**

Determine whether the series is convergent or divergent. If it is convergent, find its sum. If it is divergent, enter NONE. sum from 1 to infinity of 1/e^2n. It is convergent, but I do not know how to solve for the sum.
*Thursday, April 3, 2014 at 1:13pm*

**Calculus**

If y = y(x), write y’ in Leibniz notation.
*Wednesday, April 2, 2014 at 10:00pm*

**calculus**

revenue function of x^2+3p=675
*Wednesday, April 2, 2014 at 8:37pm*

**calculus**

a farmer wishes to fence off a rectangular plot of land, using an existing wall as one of the sides . the total are enclosed must be 600 square yards. the fence on the side parallel to the wall will cost 20$ per yard, while the fences on the other side will cost 30$ per yard. ...
*Wednesday, April 2, 2014 at 8:36pm*

**Calculus**

If g(x) = a f(x); find g’(x). Is it g'(x)=af?
*Wednesday, April 2, 2014 at 8:13pm*

**calculus**

Let C(t) be the total value of US currency (coins and banknotes) in circulation at time. The table gives values of this function from 1980 to 2000, as of September 30, in billions of dollars. Estimate the value of C(1990) . t 1980 1985 1990 1995 2000 C(t) 129.9 187.3 271.9 409...
*Wednesday, April 2, 2014 at 6:59pm*

**Calculus Help Please!!! Check **

When a cold drink is taken from a refrigerator, its temperature is 5°C. After 25 minutes in a 20°C room its temperature has increased to 10°C. (Round the answers to two decimal place.) (a) What is the temperature of the drink after 60 minutes? (b) When will its ...
*Wednesday, April 2, 2014 at 6:00pm*

**Calculus Help Please**

let f(x)=(x-1)^2, g(x)=e^(-2x), and h(x)=1+ ln(1-2x) find linearization of f, g, and h at a=0 Lf(x)= Lg(x)= Lh(x)= graph f,g, and h, and their linear app. For which function is the linear app. best? for which is the worst? explain. the linear app. appears to be best for the ...
*Wednesday, April 2, 2014 at 5:28pm*

**Calculus Help Please!!!**

When blood flows along a blood vessel, the flux F (the volume of blood per unit time that flows past a given point) is proportional to the fourth power of the radius R of the blood vessel: F = kR4 (This is known as Poiseuille's Law.) A partially clogged artery can be ...
*Wednesday, April 2, 2014 at 5:22pm*

**Calculus Help**

A plane flies horizontally at an altitude of 6 km and passes directly over a tracking telescope on the ground. When the angle of elevation is π/3, this angle is decreasing at a rate of π/3 rad/min. How fast is the plane traveling at that time?
*Wednesday, April 2, 2014 at 4:47pm*

**Calculus Help Please!!!**

When a cold drink is taken from a refrigerator, its temperature is 5°C. After 25 minutes in a 20°C room its temperature has increased to 10°C. (Round the answers to two decimal place.) (a) What is the temperature of the drink after 60 minutes? (b) When will its ...
*Wednesday, April 2, 2014 at 4:43pm*

**Calculus Help Please!!! Check **

A curve passes through the point (0, 2) and has the property that the slope of the curve at every point P is three times the y-coordinate of P. Find an equation of the curve. dy/dp = 3y or ∫ (3/y) dy = ∫ dp or 3 ln(y) = p + c or @ (0,2) ln(2) = 0 + c or c = ln(2) 3...
*Wednesday, April 2, 2014 at 4:39pm*

**calculus help thanks!**

The gas law for an ideal gas at absolute temperature T (in kelvins), pressure P (in atmospheres), and volume V (in liters) is PV = nRT, where n is the number of moles of the gas and R = 0.0821 is the gas constant. Suppose that, at a certain instant, P = 8.0 atm and is ...
*Wednesday, April 2, 2014 at 4:35pm*

**Calculus Help Please!!!**

A stone is dropped into a lake, creating a circular ripple that travels outward at a speed of 40 cm/s. Find the rate at which the area within the circle is increasing after each of the following. after 1 s = after 3 s = after 7 s =
*Wednesday, April 2, 2014 at 4:32pm*

**Calculus Help Please!!!**

Consider the following. f(x) = 8x (square root of (x − x^2)) (a) Use a graph to find the absolute maximum and minimum values of the function to two decimal places.
*Tuesday, April 1, 2014 at 10:27pm*

**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...
*Tuesday, April 1, 2014 at 10:08pm*

**Calculus Help Please!!!**

Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = xe^((−x^2)/98), [−6, 14]
*Tuesday, April 1, 2014 at 9:14pm*

**Calculus Help Please!!!**

Find the absolute maximum and absolute minimum values of f on the given interval. f(t) = (t square root of (64 − t^2)) ,[−1,8]
*Tuesday, April 1, 2014 at 9:11pm*

**Calculus Help!**

Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = xe^(−x^(2)/98), [−6, 14]
*Tuesday, April 1, 2014 at 9:09pm*

**Calculus**

Find the absolute minimum and absolute maximum values of f on the given interval. f(t) = 8 cos t + 4 sin 2t, [0, π/2]
*Tuesday, April 1, 2014 at 5:45pm*

**Calculus Help Please!!!**

Find the absolute maximum and absolute minimum values of f on the given interval. f(t) = (t square root of (64 − t^2)), [−1, 8]
*Tuesday, April 1, 2014 at 5:27pm*

**Calculus Help Please!!!**

Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 2x^3 − 3x^2 − 72x + 7 , [−4, 5]
*Tuesday, April 1, 2014 at 5:26pm*

**calculus and vectors**

Determine an equation of the line of intersection of the planes 4x − 3y − z = 1 and 2x + 4y + z = 5.
*Tuesday, April 1, 2014 at 4:59pm*

**calculus**

Twenty feet wire is used to make two figures? What is the maximum areas of enclosed figures.
*Tuesday, April 1, 2014 at 11:14am*

**Calculus**

Find the area cut off by x+y=3 from xy=2. I have proceeded as under: y=x/2. Substituting this value we get x+x/2=3 Or x+x/2-3=0 Or x^2-3x+2=0 Or (x-1)(x-2)=0, hence x=1 and x=2 are the points of intersection of the curve xy=2 and the line x+y=3. Area under curve above X axis ...
*Tuesday, April 1, 2014 at 3:07am*

**Calculus**

The circle defined by the equation x^2 + y^2 = 18 has two points where the slope of its tangent line is m=1. Find those points.
*Monday, March 31, 2014 at 11:41am*

**Calculus: Integral**

I don't understand how to do this one integral problem that involves secant. I'm asked to find the integral of sec^4 (4x). I'm not really sure how to go about solving this problem.
*Monday, March 31, 2014 at 3:32am*

**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.) fourth root of (1 + 2x)≈ 1 + (1/2)x
*Sunday, March 30, 2014 at 11:21pm*

**Calculus Help Please!!!**

The circumference of a sphere was measured to be 80 cm with a possible error of 0.5 cm. 1) Use differentials to estimate the maximum error in the calculated volume. (Round your answer to the nearest integer.) 2) What is the relative error? (Round your answer to three decimal ...
*Sunday, March 30, 2014 at 11:17pm*

**Calculus Help**

Use differentials to estimate the amount of paint needed to apply a coat of paint 0.03 cm thick to a hemispherical dome with diameter 54 m. (Round your answer to two decimal places.)
*Sunday, March 30, 2014 at 11:16pm*

**Calculus Help Please**

Use a linear approximation (or differentials) to estimate the given number. (1.999)^4
*Sunday, March 30, 2014 at 10:14pm*

**Calculus Help Please!!!**

Compute Δy and dy for the given values of x and dx = Δx. (Round your answers to three decimal places.) y = 3x − x^2, x = 3, Δx = −0.6 Δy=???
*Sunday, March 30, 2014 at 9:57pm*

**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 xE
*Sunday, March 30, 2014 at 8:28pm*

**Calculus Help Please!!!**

Two carts, A and B, are connected by a rope 39 ft long that passes over a pulley P (see the figure). The point Q is on the floor h = 12 ft directly beneath P and between the carts. Cart A is being pulled away from Q at a speed of 3.5 ft/s. How fast is cart B moving toward Q at...
*Sunday, March 30, 2014 at 7:16pm*

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