Tuesday

September 2, 2014

September 2, 2014

**Recent Homework Questions About Calculus**

Post a New Question | Current Questions

**Calculus**

Find the derivative of the function. f(x) = 6 (ln(x))^(5\/2)
*Friday, July 12, 2013 at 8:30pm*

**Calculus**

Find the derivative of the function. f(x) = ln((x6 - 7)6)
*Friday, July 12, 2013 at 8:29pm*

**Calculus**

Find the derivative of the function. f(x) = text(ln)(9 x^2 - 3 x + 1)
*Friday, July 12, 2013 at 8:29pm*

**Calculus**

Find the derivative of the function. f(x)=ln(sqrt(x)+6)
*Friday, July 12, 2013 at 8:28pm*

**Calculus**

Find the derivative of the function. f(x) = ex8 - 6
*Friday, July 12, 2013 at 8:27pm*

**Calculus**

The question is find the area of the reagion that is bounded by the curve y=arctan x, x=0, x=1, and the x-axis. So I've drawn the enclosed region. To find the area would I use the Disc/shell method? If so the formula that I came up with looks like this: If area = pi(r)^2 ...
*Friday, July 12, 2013 at 7:54pm*

**Calculus**

Find the absolute extrema of the function on the interval [2, 9]. (Round your answers to the nearest hundredth.) g(x)=x/(ln(x)) Absolute minimum: at x = Absolute maximum: at x =
*Friday, July 12, 2013 at 7:47pm*

**Calculus**

Find the derivative of the function. g(x) = ln(3x + 5)
*Friday, July 12, 2013 at 7:27pm*

**Calculus **

There is this improper integral problem I've been given. I've completed most of it but still don't understand what I'd get, I don't quite get what it means to go from 'e' to 'infity'. What would I get? -ln(x)+1/x from 'e' to '...
*Friday, July 12, 2013 at 4:41pm*

**Calculus**

Find the absolute extrema of the function. (Round your answer to three decimal places.) f(x) = xe-x2 on [0,2] Absolute maximum value: at x = Absolute minimum value: at x =
*Friday, July 12, 2013 at 3:12pm*

**Calculus**

Find the derivative of the function. f(x) = ex8 - 6
*Friday, July 12, 2013 at 3:08pm*

**Calculus**

Four hundred students attended the dedication ceremony of a new building on a college campus. The president of the traditionally female college announced a new expansion program which included plans to make the college coeducational. The number of students who learned of the ...
*Friday, July 12, 2013 at 3:02pm*

**Calculus**

The growth rate of Escherichia coli, a common bacterium found in the human intestine, is proportional to its size. Under ideal laboratory conditions, when this bacterium is grown in a nutrient broth medium, the number of cells in a culture doubles approximately every 20 min. (...
*Friday, July 12, 2013 at 3:01pm*

**Calculus**

Skeletal remains had lost 81% 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.) yr
*Friday, July 12, 2013 at 3:00pm*

**AP Calculus**

Show work to determine if the relation is even, odd, or neither. 1. 3x=|y| (|y|=abs. value of y) Simplify the following complex fractions. 2. [(3/x)-(4/y)]/[(4/x)-(3/y)] PLEASE HELP!
*Friday, July 12, 2013 at 12:33pm*

**AP Calculus**

[(3/x)-(4/y)]/[(4/x)-(3/y)]
*Friday, July 12, 2013 at 12:31pm*

**calculus**

two forces f1 and f2 acting on an object at a 90 degree angle will pull the object with a reluctant force, R, at an angle between f1 and f2. R= ã f1^2+f2^2 R=15 and f1=9 find f2
*Friday, July 12, 2013 at 9:11am*

**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. 2y = 4(x^(1/2)), y=4, and 2y +2x = 6 I keep getting an area around 21.3 but it is incorrect. Am I close? Thank you!
*Thursday, July 11, 2013 at 9:15pm*

**Calculus**

The percentage of alcohol in a person's bloodstream t hr after drinking 8 fluid oz of whiskey is given by the following equation. A(t) = 0.26te-0.3t , (0 t 12) (a) What is the percentage of alcohol in a person's bloodstream after 1/2 hr? After 6 hr? (Round your answers...
*Thursday, July 11, 2013 at 7:22pm*

**Calculus**

In a study prepared in 2000, the percentage of households using online banking was projected to be f(t) = 1.7e0.71t , (0 t 4) where t is measured in years, with t = 0 corresponding to the beginning of 2000. (Round your answers to three decimal places.) (a) What was the ...
*Thursday, July 11, 2013 at 7:20pm*

**Calculus**

Find an equation of the tangent line to the graph of y = e-x2 at the point (2, 1/e4).
*Thursday, July 11, 2013 at 7:19pm*

**Calculus**

Find the derivative of the function. f(s)=(s6 + 1)e-s6
*Thursday, July 11, 2013 at 7:19pm*

**Calculus**

Find the derivative of the function. f(x)=(e^x+e^(-x))/2
*Thursday, July 11, 2013 at 7:18pm*

**statistics**

The same calculus exam has a normal distribution with a mean of 76 and a standard deviation of 6. Find the percentage of students that scored between 65 and 90.
*Thursday, July 11, 2013 at 5:25pm*

**Calculus**

During a flu epidemic, the number of children in the Woodbridge Community School System who contracted influenza after t days was given by the following. Q(t) = 8000/(1+199 e^(-0.6 t)) (a) How many children were stricken by the flu after the first day? children (b) How many ...
*Wednesday, July 10, 2013 at 8:53pm*

**Calculus**

The radioactive element polonium decays according to the law given below where Q0 is the initial amount and the time t is measured in days. Q(t) = Q0 · 2-(t/140) If the amount of polonium left after 700 days is 45 mg, what was the initial amount present? mg
*Wednesday, July 10, 2013 at 8:53pm*

**Calculus**

The number of online buyers in Western Europe is expected to grow steadily in the coming years. The function below for 1 t 9, gives the estimated buyers as a percent of the total population, where t is measured in years, with t = 1 corresponding to 2001. P(t) = 27.6 + 14.1 ln(...
*Wednesday, July 10, 2013 at 8:50pm*

**Calculus**

Solve dy/dx for sin(xy)=1+x^3-y^2
*Wednesday, July 10, 2013 at 6:23pm*

**Please help with Calculus problem??**

A particle moves with a fixed acceleration 3 m/s^2. If its initial velocity is s(0)=0: a) Find its velocity function. b) How long does it take for the particle to reach the velocity 14 m/s^2? c) Find the distance the particle traveled when its velocity reaches 14 m/s^2.
*Wednesday, July 10, 2013 at 9:39am*

**differential calculus**

a pc of wire 10feet long is cut into 2 pcs. one piece is bent into the shape of a circle and the other into the shape of a square. how should the wire be cut so that the combined area is as large as possible?
*Wednesday, July 10, 2013 at 4:37am*

**Calculus**

Find the volume of the solid obtained by rotating the region under the graph of the function f(x) = (2)/(x+1) about the x-axis over the interval [0,3]
*Tuesday, July 9, 2013 at 9:33am*

**Calculus **

Find the area of the shaded region bounded by y=7x and y=x(sqrt(22^2-x^2))
*Tuesday, July 9, 2013 at 9:02am*

**calculus**

A cooling tower for a nuclear reactor is to be constructed in the shape of a hyperboloid of one sheet. The diameter at the base is 260 m and the minimum diameter, 500 m above the base, is 200 m. Find an equation for the tower. (Assume the center is at the origin with axis the ...
*Monday, July 8, 2013 at 8:40pm*

**calculus**

A cooling tower for a nuclear reactor is to be constructed in the shape of a hyperboloid of one sheet. The diameter at the base is 260 m and the minimum diameter, 500 m above the base, is 200 m. Find an equation for the tower. (Assume the center is at the origin with axis the ...
*Monday, July 8, 2013 at 8:03pm*

**Calculus-HELP!!!**

Find a general solution to the first – degree ordinary differential equation. If an initial condition is given, find the corresponding particular solution. Write solution explicitly if possible: dx/dt=sqrt(x+t+1)
*Monday, July 8, 2013 at 6:28pm*

**Calculus 1**

I'm asked to find max and min of: L(t)=12+2.8sin((2pi/365)(t-80). I find the derivative as: L'(t)=(5.6*pi/365)*cos[(2pi/365)(t-80)] but I get lost afterwards.
*Monday, July 8, 2013 at 12:40am*

**Calculus**

Find the absolute maximum and the absolute minimum values of f(x)=x−7cos(x) on the interval [−ð,ð).
*Sunday, July 7, 2013 at 9:25pm*

**Calculus**

A spherical fish tank of radius 8 meters is being filled with at a constant rate of Rπ meters cube of water per second. At height 3 meters, the rate of change of the height is 1 meter per second. What is the value of R?
*Sunday, July 7, 2013 at 5:58pm*

**Calculus**

Let V be the volume of the three-dimensional structure bounded by the region 0≤z≤1−x^2−y^2. If V=a/bπ, where a and b are positive coprime integers, what is a+b?
*Sunday, July 7, 2013 at 4:17pm*

**Calculus**

Let R be the region bounded by y=−3(x−1)(x−3) and the x-axis. Let S be the solid obtained by rotating R about the y-axis. The volume of S is given by Nπ. What is the value of N?
*Sunday, July 7, 2013 at 3:47pm*

**Calculus**

Evaluate ∬R xy dA, where R is the region bounded by x^2+y^2≤36, x≥0 and y≥0.
*Sunday, July 7, 2013 at 3:46pm*

**Calculus**

There are two points P=(a,a^2) and Q=(b,b^2) (a<b) moving along the parabola y=x^2. If the area of the region bounded by y=x^2 and the line segment PQ is always 36, what is the value of lim as a→∞ of PQ/a?
*Sunday, July 7, 2013 at 3:45pm*

**Calculus-HELP PLZ !!!!**

Find a general solution to the first – degree ODE. If an initial condition is given, find the corresponding particular solution. Write solution explicitly if possible. (9x^2+y-1)dx-(4y-x)dy=0, y(1)=0
*Sunday, July 7, 2013 at 3:38pm*

**Calculus**

Find a general solution to each first ¨C degree ordinary differential equation. If an initial condition is given, find the corresponding particular solution. Write solution explicitly if possible. dx/dt=¡Ì(x+t+1)
*Saturday, July 6, 2013 at 12:59pm*

**Calculus**

Find a general solution to each first – degree ODE. If an initial condition is given, find the corresponding particular solution. Write all solutions explicitly if possible. dr/dè = r^(2)/è
*Friday, July 5, 2013 at 10:39pm*

**Calculus**

Gravel is being dumped from a conveyor belt at a rate of 10 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 16 feet high? Recall that ...
*Friday, July 5, 2013 at 6:48pm*

**algebra 2**

Consider the exam data below. Algebra score: 20 35 13 29 40 23 Calculus score: 41 69 34 72 86 58 Use your calculator to find the regression line for this data, and graph it on your scatterplot. b. Interpret the slope and intercepts of this line in the context of the problem. c...
*Friday, July 5, 2013 at 4:27pm*

**calculus**

The demand for your hand-made skateboards, in weekly sales, is q=-5p+600 if the selling price is $p. You are prepared to supply q=5p-400 per week at the price $p. What price should you sell your skateboards for so that there is neither a shortage nor a surplus? Someone please ...
*Thursday, July 4, 2013 at 11:07pm*

**Math Calculus**

f(x) = (x^3+5x^2-28x-32)/(x^3-18x^2+105x-196) which can be written as f(x) = [(x+1)(x-4)(x+8)]/[(x-7)^2(x-4) The domain of the function f(x), in interval notation from left to right, is ____ U ____ U ______. The root(s) of f(x), in increasing order, is/are: _____, ____. f(x) ...
*Thursday, July 4, 2013 at 8:56pm*

**Calculus**

How would I use the chain rule here for x^2+y^2=z^2 but still have my answer in equation form?
*Wednesday, July 3, 2013 at 9:23am*

**Calculus**

Show that both functions y1=e^(-2x) and y2=xe^(-2x) are solutions to the differential equation y^''+4y^'+4y=0
*Tuesday, July 2, 2013 at 11:34pm*

**Calculus**

sand is falling into a conical pile so that the radius of the base of the pile is always equal to one half its altitude. of the sand is falling at the rate of 10 cubic feet per minute, how fast is the altitude of the pile increasing when the pile is 5 feet deep?
*Tuesday, July 2, 2013 at 10:09pm*

**Calculus-HELP!!!!**

Show that the function y=c_1 e^x cos(x)+ c_2 e^x sin(x) satisfies the differential equation y''-2y'+2y=0 for any values of c1 and c2, then find the values for those constants that solve the initial value problem y(0)= 1, y'(0)= -1
*Tuesday, July 2, 2013 at 9:08pm*

**Calculus**

A television camera is positioned 2500 ft from the base of a rocket launching pad. The angle of elevation of the camera has to change at the correct rate in order to keep the rocket in sight. Also the mechanism for focusing the camera has to take into account the increasing ...
*Monday, July 1, 2013 at 7:11pm*

**Calculus Help**

I have looked high and low to figure out how to start this question. I have no clue! Any help would be great!! Rainbows are formed when light strikes raindrops and is reflected and refracted. The Law of Refraction states that (sin alpha)/(sin beta) = k, where k equals 1.33 (...
*Sunday, June 30, 2013 at 8:40pm*

**Calculus**

Two cars start moving from the same point. One travels south at 60 mph and the other travels west at 25 mph. At what rate is the distance between the cars increasing 2 hours later? Let x = the distance covered by the south traveling car. Let y = the distance covered by the ...
*Friday, June 28, 2013 at 10:18pm*

**Calculus**

A television camera is positioned 2500 ft from the base of a rocket launching pad. The angle of elevation of the camera has to change at the correct rate in order to keep the rocket in sight. Also the mechanism for focusing the camera has to take into account the increasing ...
*Friday, June 28, 2013 at 10:14pm*

**Calculus (help steve)**

f(x)=−8x^3+6ax^2−3bx+4 has a local minimum at x=1 and a local maximum at x=3. If a and b are the local minimum and maximum, respectively, what is the absolute value of a+b?
*Friday, June 28, 2013 at 4:03pm*

**Math (Calculus)**

A(1,0) is a point on the parabola y=2x(x−1). From point A, point P is moving along the curve towards the origin O(0,0). As P → O, sec^2∠APO → N, where N is a positive integer. What is the value of N?
*Thursday, June 27, 2013 at 12:23pm*

**Calculus**

Let y=e^(x/9). a) Find the differential dy. dy = b) Evaluate dy if x=0 and dx=−0.03. dy =
*Wednesday, June 26, 2013 at 10:54pm*

**Theorem Calculus**

A thin triangle has vertices (0,0), (1,0), and (0,2). Let the density function at any given point on the triangle be represented by ρ(x,y)=1+3x+y. The mass of the triangle can be represented by p/q, where p and q are coprime positive integers. What is the value of p+q?
*Wednesday, June 26, 2013 at 9:57am*

**Please Help with calculus**

How to evaluate x=0 and dx=-.03? I got(1/9)e^(x/9)dx as dy of e^(x/9)and I don't know how I should plug them in.
*Wednesday, June 26, 2013 at 9:37am*

**differential calculus**

y = sin x find the derivative...
*Wednesday, June 26, 2013 at 8:34am*

**Calculus**

Let y=e^(x/9). a) Find the differential dy. dy = b) Evaluate dy if x=0 and dx=−0.03. dy =
*Wednesday, June 26, 2013 at 8:21am*

**Calculus**

Find the linear approximation L(x) of ln(x) at the point a = 12.
*Tuesday, June 25, 2013 at 7:12pm*

**Calculus**

Find the equation of the tangent line to the curve (piriform) y^2=x^3(4−x) at the point (2,16−−ã). a. Find dy/dx at x=2. dy/dx= b. Write the equation of the tangent line to the curve.
*Tuesday, June 25, 2013 at 5:25pm*

**Calculus**

Find dy/dx by implicit differentiation: cos(x−y)=−4xe^x
*Tuesday, June 25, 2013 at 10:15am*

**Calculus**

Find dy/dx by implicit differentiation for the following 2x^2y+3y=-1
*Tuesday, June 25, 2013 at 10:10am*

**Calculus please help??**

The motion of a spring that is subject to dampening (such as a car's shock absorber)is often modeled by the product of an exponential function and a sine or cosine function. Suppose the equation of motion for a point on such a spring is s(t)=3∗e−2tsin(3ðt) ...
*Monday, June 24, 2013 at 10:26am*

**Calculus 2**

(x^3+2x^2-15x+1)/(x^2+2x-15) from 0 to 7
*Sunday, June 23, 2013 at 9:27pm*

**Calculus 2**

A tank is full of water. Find the work W required to pump the water out of the spout. (Use 9.8 for g and 3.14 for π. If you enter your answer in scientific notation, round the decimal value to two decimal places. Use equivalent rounding if you do not enter your answer in ...
*Saturday, June 22, 2013 at 12:22am*

**Calculus 2**

Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about x = 4. y = 3 x^4 y = 0 x = 2
*Friday, June 21, 2013 at 9:59pm*

**math-calculus 2**

Consider the given curves to do the following. 64 y = x^3, y = 0, x = 4 Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about y = 1.
*Friday, June 21, 2013 at 5:23pm*

**calculus**

1.Ruth has 240 feet of fencing available to enclose a rectangular field. Express the area A of the rectangular field as a function x, where x is the length of the field. 2. For what value of x is the area largest? 3. What is the maximum area?
*Thursday, June 20, 2013 at 10:03pm*

**Differential Calculus (first part)**

if g(x) = cos2x find g(-x)
*Thursday, June 20, 2013 at 9:37pm*

**Calculus**

Find the linear approximation L(x) of ln(x)at the point a = 12.
*Thursday, June 20, 2013 at 9:17pm*

**Calculus**

The interval [0,4] is partitioned into n equal subintervals, and a number x_i is arbitrarily chosen in the i^th subinterval for each i. Then.... lim_(n → ∞) ∑_(i = 1 → n)[2x_i+8)/n]=???
*Thursday, June 20, 2013 at 7:03pm*

**Calculus (Arc Length)**

Consider the helix parametrized with the vector equation r(t)=cos t i+ sin t j + t k. The length L of the helix between the points (1,0,0) and (1,0,6π) is equal to aπ. What is the value of a^2?
*Thursday, June 20, 2013 at 10:16am*

**Calculus**

∫10 to 21,f(x)dx-∫10 to 14, f(x)dx=∫a to b,f(x). where a=?,b=?
*Thursday, June 20, 2013 at 8:55am*

**Calculus**

The velocity function is v(t)=t^2-5t+6 for a particle moving along a line. Find the displacement of the particle during the time interval [-3,6].
*Thursday, June 20, 2013 at 8:47am*

**diffirential calculus**

express the surface of a right circular cylinder a function of its volume assuming the height is constant
*Thursday, June 20, 2013 at 5:15am*

**Calculus**

The radius of a circular disk is given as 51 cm with a maximum error of 0.04 cm. Use differentials to estimate the maximum error and percent error in the calculated area of the disk.
*Wednesday, June 19, 2013 at 3:56pm*

**Calculus**

Find the Taylor Polynomial of order 1 for the function f(x)=arctan(x/5) in powers of (x-5). Also find the remainder R1(x) as a function of x and c.
*Wednesday, June 19, 2013 at 11:29am*

**Calculus**

By recognizing each series below as a Taylor series evaluated at a particular value of x, find the sum of each convergent series. A) 1+5 + (5^2)/(2!)+(5^3)/(3!)+(5^4)/(4!)+...+ (5^k)/(k!)+...= B) 1-(2^2)/(2!)+(2^4)/(4!)-(2^6)/(6!)+...+((-1)^(k)2^(2k))/((2k)!) +...=
*Tuesday, June 18, 2013 at 10:24pm*

**Calculus**

Find the 3rd order for the taylor polynomial in powers of x for the function f(x)=sinh2x and find the remainder as a function of x and c. P3(x)=? R3(x)=? What's the kth term expression?
*Tuesday, June 18, 2013 at 8:46pm*

**Calculus**

Find the general expression of the kth nonzero term in the taylor series f(x) = 3/(1+x), for k= 0, 1, 2,...
*Tuesday, June 18, 2013 at 8:44pm*

**Calculus**

The motion of a spring that is subject to dampening (such as a car's shock absorber)is often modeled by the product of an exponential function and a sine or cosine function. Suppose the equation of motion for a point on such a spring is s(t)=3∗e^(−2t)sin(3ð...
*Tuesday, June 18, 2013 at 7:04pm*

**Calculus**

The management of the UNICO department store has decided to enclose a 917 ft2 area outside the building for displaying potted plants and flowers. One side will be formed by the external wall of the store, two sides will be constructed of pine boards, and the fourth side will ...
*Tuesday, June 18, 2013 at 4:35pm*

**Calculus**

Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an answer does not exist, enter DNE.) f(x) = −x2 + 2x + 3 on [3, 6] maximum minimum
*Tuesday, June 18, 2013 at 4:30pm*

**Calculus**

Find the relative extrema, if any, of the function. Use the second derivative test, if applicable. (If an answer does not exist, enter DNE.) f(t) = 7 t + 3/t relative maximum (x, y) = relative minimum (x, y) =
*Tuesday, June 18, 2013 at 4:28pm*

**Calculus**

Find the outside and inside functions of the following to find their derivatives: 1) sqrt(2x+9) 2) cos(cos(x)) 3) tan(x) I already know how to find their derivatives I'm just not exactly sure what parts of the chain rule equation would be considered the outside and inside.
*Tuesday, June 18, 2013 at 2:41pm*

**Calculus**

A fence 3 feet tall runs parallel to a tall building at a distance of 3 feet from the building. What is the length of the shortest ladder that will reach from the ground over the fence to the wall of the building. Answer the following: The distance along the ladder to the top ...
*Tuesday, June 18, 2013 at 2:13pm*

**Calculus**

Find the point on the line 4x+3y-4=0 which is closest to the point (5,2)
*Tuesday, June 18, 2013 at 2:08pm*

**Calculus**

For what values of x with 0¡Üx¡Ü2¦Ð does the graph of f(x)=x+4sin(x) have a horizontal tangent?
*Tuesday, June 18, 2013 at 10:39am*

**Calculus**

Find the equation of the tangent line to the curve y=2tan(x) at the point (pi/4,2).
*Tuesday, June 18, 2013 at 10:38am*

**Calculus**

An arithmetic progression has terms a8 =23 and a20 =83 . What is the value of the term a12
*Tuesday, June 18, 2013 at 10:13am*

**Calculus**

Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an answer does not exist, enter DNE.) f(x) = x^3 + 3 x^2 - 1 on [-3, 1]
*Monday, June 17, 2013 at 8:21pm*

**Calculus**

The quantity demanded each month of the Walter Serkin recording of Beethoven's Moonlight Sonata, manufactured by Phonola Record Industries, is related to the price/compact disc. The equation p = -0.00048 x + 7\ \ \ \ \(0<=x<=12,000\) where p denotes the unit price in...
*Monday, June 17, 2013 at 8:21pm*

**Calculus**

The weekly demand for the Pulsar 25-in. color console television is given by the demand equation p = -0.03 x + 571\ \ \ \ \(0<=x<=12,000\) where p denotes the wholesale unit price in dollars and x denotes the quantity demanded. The weekly total cost function associated ...
*Monday, June 17, 2013 at 8:21pm*

**Calculus**

Lynbrook West, an apartment complex, has 100 two-bedroom units. The monthly profit (in dollars) realized from renting out x apartments is given by the following function. P(x) = -10 x^2 + 1780 x - 54,000 To maximize the monthly rental profit, how many units should be rented ...
*Monday, June 17, 2013 at 8:20pm*

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