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July 30, 2014

Homework Help: Math: Calculus

Recent Homework Questions About Calculus

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Calculus
Find the amount of an annuity if $210/month is paid into it for a period of 20 yr, earning interest at the rate of 8%/year compounded continuously. (Round your answer to two decimal places.) $
Friday, July 19, 2013 at 7:31pm

Calculus
In a study conducted by a certain country's Economic Development Board, it was found that the Lorentz curve for the distribution of income of college teachers was described by the function f(x) = 13/14x^2 + 1/14x and that of lawyers by the function g(x) = 5\7x^4 + 2/7x. (a...
Friday, July 19, 2013 at 7:31pm

calculus (point me in the right direction please?)
f(x) and f′(x) are continuous, differentiable functions that satisfy f(x)=x^3+4x^2+∫(from 0 to x)(x−t)f′(t) dt. What is f′(5)−f(5)?
Friday, July 19, 2013 at 2:30pm

Calculus
Mathematica Project - Position, Velocity, and Acceleration? A rocket is fired vertically upward into the air from a launching platform 100 ft above the ground. The platform is then retracted, and the rocket is allowed to fall to the ground. The height (in ft) of the rocket ...
Friday, July 19, 2013 at 1:38pm

Calculus
Find the complete solution to the 2nd ODE: 2y''+3y'+y=t^(2)+3sin(t)
Thursday, July 18, 2013 at 6:15pm

calculus (point me in the right direction please?)
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?
Thursday, July 18, 2013 at 3:45pm

Calculus-HELP PLZ !!!!
Find the complete general solution to the second order DE: 4y'' - 9y = 0
Thursday, July 18, 2013 at 3:14pm

calculus
he volume of the solid obtained by rotating the region bounded by x=(y−2)^2 and y=x about the x-axis has the form N/2π. What is the value of N?
Thursday, July 18, 2013 at 2:27pm

calculus
How many positive integers a (<1000) are there such that the function f(x)=x^4−76/3x^3+2ax^2 has no local maxima?
Thursday, July 18, 2013 at 1:51pm

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?
Thursday, July 18, 2013 at 1:41pm

calculus
How many integer values of a are there such that f(x)=x^+ax^2+8ax+25 has no local extrema?
Thursday, July 18, 2013 at 12:40pm

calculus
A 3-dimensional structure is obtained from rotating the parabola y=x^2 about the y-axis. Each second, 2π units^3 of water is being poured into the structure from the top. When 8π units^3 of water has been poured in the structure, the instantaneous change in water ...
Thursday, July 18, 2013 at 12:14pm

calculus
The area bounded by the curve 2y^2=x and the line 4y=x is rotated around the y-axis. The volume of the resulting structure can be expressed as V=a/bπ, where a and b are coprime positive integers. What is the value of a+b?
Thursday, July 18, 2013 at 12:14pm

AP Calculus
An open box is to be made from cutting squares of side 's' from each corner of a piece of cardboard that is 35" by 40". (a) Write an expression for the volume, 'V', of the box in terms of 's'. (b) Draw a graph of V(s). (c) State the domain and...
Wednesday, July 17, 2013 at 7:49pm

calculus
The area bounded by the curve 2y^2=x and the line 4y=x is rotated around the y-axis. The volume of the resulting structure can be expressed as V=a/bπ, where a and b are coprime positive integers. What is the value of a+b?
Wednesday, July 17, 2013 at 7:28pm

calculus
A 3-dimensional structure is obtained from rotating the parabola y=x^2 about the y-axis. Each second, 2π units^3 of water is being poured into the structure from the top. When 8π units^3 of water has been poured in the structure, the instantaneous change in water ...
Wednesday, July 17, 2013 at 7:27pm

Calculus
The management of Lorimar Watch Company has determined that the daily marginal revenue function associated with producing and selling their travel clocks is given by R '(x) = -0.003x + 12 where x denotes the number of units produced and sold and R '(x) is measured in ...
Wednesday, July 17, 2013 at 7:11pm

Calculus
The management of the Titan Tire Company has determined that the quantity demanded x of their Super Titan tires/week is related to the unit price p by the relation p = 144 − x^2 where p is measured in dollars and x is measured in units of a thousand. Titan will make x ...
Wednesday, July 17, 2013 at 7:11pm

Calculus
Camille purchased a 10-yr franchise for a computer outlet store that is expected to generate income at the following rate measured in dollars/year. R(t) = 400,000 If the prevailing interest rate is 10%/year compounded continuously, find the present value of the franchise. (...
Wednesday, July 17, 2013 at 7:10pm

Calculus
Find the amount of an annuity if $210/month is paid into it for a period of 20 yr, earning interest at the rate of 8%/year compounded continuously. (Round your answer to two decimal places.)
Wednesday, July 17, 2013 at 7:09pm

Calculus
In a study conducted by a certain country's Economic Development Board, it was found that the Lorentz curve for the distribution of income of college teachers was described by the function f(x) = 13/14x^2 + 1\14x and that of lawyers by the function g(x) = 5\7x^4 + 2\7x (a...
Wednesday, July 17, 2013 at 7:08pm

math calculus
The volume of the solid obtained by rotating the region bounded by y=x^2−2x and y=x about the line y=9, has the form a/bπ, where a and b are positive coprime integers. What is the value of a+b?
Wednesday, July 17, 2013 at 1:54pm

Calculus
How would you go about finding the derivative of y=1/(3x^2)-5/(2x)?
Wednesday, July 17, 2013 at 10:55am

Calculus
A fence 5 feet tall runs parallel to a tall building at a distance of 2 feet from the building. We want to find the the length of the shortest ladder that will reach from the ground over the fence to the wall of the building. Here are some hints for finding a solution: Use the...
Wednesday, July 17, 2013 at 10:52am

Calculus
Find the positive value of x which satisfies x = 4.3cos(x). Give the answer to six places of accuracy. Remember to calculate the trig functions in radian mode
Wednesday, July 17, 2013 at 10:47am

Calculus
The equation 10(x-1)(x-2)(x-3) = 1 has three real solutions a<b<c where a = , b = , and c = . Enter your answers with at least six correct digits beyond the decimal point. Hint: Ask what the solutions are if the right hand side is 0 instead of 1, and use Newton's ...
Wednesday, July 17, 2013 at 10:38am

Calculus
Evaluate the integral below by interpreting it in terms of areas. In other words, draw a picture of the region the integral represents, and find the area using geometry. ç6 −6 36−x^2dx
Monday, July 15, 2013 at 10:11am

Calculus
For the function f described by the following table, estimate ç40 0 f(x)dx using the following. Enter each answer as a sum to show your work. 5 left rectangles 5 right rectangles 5 midpoint rectangles x 0 4 8 12 16 20 24 28 32 36 40 y 7 -46 -50 45 -7 -26 23 -3 18...
Monday, July 15, 2013 at 10:10am

Calculus
Consider the function f(x)=(8)/(x^2)−(8)/(x^5) . Let F(x) be the antiderivative of f(x) with F(1)=0. Then F(2) equals ?
Monday, July 15, 2013 at 8:49am

Calculus
Find the point on the line 7x+5y−2=0 which is closest to the point (−6,−2).
Monday, July 15, 2013 at 8:47am

Calculus
A rancher wants to make a rectangular pen to house her animals. She will divide it up with 3 fences down the middle parallel to one side. If she has 14000 ft of fencing to work with, what are the dimensions of the pen of greatest area? Width = Length = What is the greatest ...
Saturday, July 13, 2013 at 9:17am

Calculus
Find the point on the line 7x+5y−2=0 which is closest to the point (−6,−2).
Saturday, July 13, 2013 at 9:12am

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 10:07pm

Calculus
Find the derivative of the function. f(x) = e^x8 - 6
Friday, July 12, 2013 at 10:02pm

Calculus
Find the derivative of the function. g(t) = t2 ln(e2t + 9)
Friday, July 12, 2013 at 8:33pm

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-8​0)] 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

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