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April 30, 2016

Homework Help: Math: Calculus

Recent Homework Questions About Calculus

calculus
An open box is to be made out of a 10-inch by 14-inch piece of cardboard by cutting out squares of equal size from the four corners and bending up the sides. Find the dimensions of the resulting box that has the largest volume.
Monday, November 30, 2015 by javy

Pre-Calculus
f(x) = cos(x) on the interval [−2π, 2π] (a) Find the x-intercepts of the graph of y = f(x). (Enter your answers as a comma-separated list.) (b) Find the y-intercepts of the graph of y = f(x). (Enter your answers as a comma-separated list.) (c) Find the ...
Sunday, November 29, 2015 by Sam

Calculus- Damon, Steve, Reiny
I forgot to mention that I am trying to find sigma squared.. given that the mean is r and p(x)= (1/r)(e^(-x/r)) on the interval [0,infinity), where r>0.. note: sigma squared= integral sign (-inf, inf) (x-M)^2 p(x) dx i got (r^2 - 2r)^(1/2) for sigma, but my answer is wrong...
Saturday, November 28, 2015 by Christina

Calculus
I tried to integrate this: intergral sign with an interval from -inifinity to + infinity function: (x-r)^2 (1/r) (e^(-x/r)) with respect to dx..... I know that Steve set up the u-substitution but I seem to never arrive at an answer... It seems like I keep integrating and ...
Saturday, November 28, 2015 by Christina

Calculus
How do you integrate (x-r)^2 (1/r) (e^(-x/r)) from the interval negative infinity to positive infinity?
Friday, November 27, 2015 by Sanaya

Calculus
How do you integrate (x-r)^2 (1/r) (e^(-x/r)) from the interval negative infinity to positive infinity?
Friday, November 27, 2015 by Christina

Math calculus
The top and bottom margins of a poster are 8 cm and the side margins are each 8 cm. If the area of printed material on the poster is fixed at 382 square centimeters, find the dimensions of the poster with the smallest area?
Friday, November 27, 2015 by MArıam

calculus
integrate (e^t + e^-t)²
Friday, November 27, 2015 by ligas

Integral Calculus
Integrate (tan^-1 X)/(1+x²) dx please help, I don't know how to start this one
Friday, November 27, 2015 by ligas

Integral Calculus
Integrate (tan^-1 X)/(1+x²) dx please help, I don't know how to start this one
Friday, November 27, 2015 by ligas

calculus
integrate (e^t + e^-t)²
Friday, November 27, 2015 by ligas

Pre Calculus HELP!?
The length of a day in Philadelphia, Pennsylvania, is given by the sinusoidal function, f(t), which represents the number of hours of daylight t days into the year: f(t)= 10+2.8sin(2pi/365)*(t-1.35). How many hours of daylight are there on the 100th day of the year? Round the ...
Thursday, November 26, 2015 by Ellie

Pre-Calculus HELP!!
The length of a day in Philadelphia, Pennsylvania, is given by the sinusoidal function, f(t), which represents the number of hours of daylight t days into the year: f(x)=11+2.2sin(2pi/365)t-1.25).How many hours of daylight are there on the twelfth day of the year? Round the ...
Thursday, November 26, 2015 by Ellie

calculus
integrate (e^t + e^-t)²
Wednesday, November 25, 2015 by ligas

Pre-Calculus HELP!
Explain how the transformations of the functions f(x)=15sin(x) and f(x)=sin(x)+15 differ. I see that f(x)=sin(x)+15 experiences a vertical shift, but I am not sure about the transformation that f(x)=15sin(x) experiences. Thank you for your help!
Wednesday, November 25, 2015 by Ellie

Calculus 1
Use a graph to give a rough estimate of the area of the region that lies beneath the given curve. Then find the exact area. y = x^−3, 2 ≤ x ≤ 5
Wednesday, November 25, 2015 by TayB

Calculus 1
Use a graph to give a rough estimate of the area of the region that lies beneath the given curve. Then find the exact area. y = cube root(x) , 0 ≤ x ≤ 27
Wednesday, November 25, 2015 by TayB

Calculus III
Evaluate ∭W f(x,y,z)dV for the function f and region W specified: f(x,y,z) = 18(x+y) W: y≤ z≤x ; 0≤y≤x ; 0≤x≤1 ∭W (18(x+y))dV =
Tuesday, November 24, 2015 by Steven

Calculus
If f is an exponential function of the form f(x)=C times a^x with growth factor 5 and f(5)=14. What is f(6)? I know f(6) is 70 but how do you set up the equation to get 70?
Tuesday, November 24, 2015 by Dale

calculus
what are the inflection points of 5x^2-45/x^2-25
Monday, November 23, 2015 by marissa

Calculus
Integrate e^(-t/r) WITH RESPECT TO dt?
Monday, November 23, 2015 by Sanaya

Calculus
The amount remaining of a radioactive substance after t hours is given by A(t) = 100ekt. After 12 hours, the initial amount has decreased by 4%. How much remains after 48 hours? What is the half-life of the substance?
Monday, November 23, 2015 by Bill

Pre-calculus
Initially 600 milligrams of a radioactive substance was present. After 7 hours the mass had decreased by 3%. Construct an exponential model A(t) = A0ekt for the amount remaining of the decaying substance after t hours. Find the amount remaining after 24 hours.
Monday, November 23, 2015 by Kim

Calculus
find the maximum volume of a cylinder whose height and radius do not exceed a combined total of 12cm
Monday, November 23, 2015 by Emma

Calculus
Let f(x)=5x^(9/5)−45x^(4/5). Find the largest open interval(s) where f(x) increases.
Monday, November 23, 2015 by Kevin

Calculus
Calculate μ and σ, where σ is the standard deviation, defined by the following. σ^2 = integral between (−∞,∞) (x-μ)^2 p(x) dx The smaller the value of σ the more tightly clustered are the values of the random variable X about the...
Sunday, November 22, 2015 by Christina

Calculus
How do you integrate e^(-t/r) dt?
Sunday, November 22, 2015 by Sanaya

Calculus
Calculate μ and σ, where σ is the standard deviation, defined by the following. σ^2 = integral between (−∞,∞) (x-μ)^2 p(x) dx The smaller the value of σ the more tightly clustered are the values of the random variable X about the...
Sunday, November 22, 2015 by Anonymous

Calculus
How do you integrate e^(-t/r)?
Sunday, November 22, 2015 by Sanaya

Calculus
Integrate x/(6x-5) dx The answer is 1/6 x + 5/36 ln abs (36x-30) + C... But I don't understand why it is 5/36 times ln.. I thought that when you factored out the 5 you would get 5 times ln abs (36x-30)..
Saturday, November 21, 2015 by Sanaya

Calculus
A window is designed to be the area between a parabolic section and a straight base. The height is 0.640 m and the base is 1.60 m. What is the area of the window?
Saturday, November 21, 2015 by Anonymous

Calculus
Calculate integral [0, infinity) xe^(-x) dx
Saturday, November 21, 2015 by Sanaya

Calculus
Find the solution t the differential equation dz/dt = 2te^z that passes through the origin. My answer is -In (1-t^2), but my answer is populating as incorrect. Can someone help please?
Friday, November 20, 2015 by Latoya

Calculus
Solve the initial value problem 2y" + 5y' - 3y = 0 y(0) =7, y'(0) = 7 Can someone please help. The answer I came up with is 35 exp(-x) - 28 exp(-3x/2), but my answer is wrong.
Friday, November 20, 2015 by Latoya

Calculus
For the vector field G⃗ =(yexy+3cos(3x+y))i⃗ +(xexy+cos(3x+y))j⃗ , find the line integral of G⃗ along the curve C from the origin along the x-axis to the point (3,0) and then counterclockwise around the circumference of the circle x2+y2=9 to the point (...
Friday, November 20, 2015 by A

Calculus
Integral sign 8x/(x-1) dx Is it 8x+8ln abs (x-1)+C ?
Thursday, November 19, 2015 by Sanaya

Calculus
Evaluate the integral. Problem#1 Integral sign 4dx/[(x+3)(x^2 +3x) Does it matter where A, B, and C is placed over. Is there a particular order? Is it ..... (A/x)+(B/(x+3))+(c/(x+3)^2=4 Or ... (A/x+3)+(B/x)+(C/(x+3)^2)=4 I am confused because I get different answers each time ...
Thursday, November 19, 2015 by Sanaya

Calculus
Evaluate using long division. The integral of x/6x-5 dx How do I divide this?
Thursday, November 19, 2015 by Sanaya

Calculus 1
Find each limit: (a) lim x->1 (ln(x)+2x-2)/(x^2-1) (b) lim x->infinity (x^2)/(e^x)
Thursday, November 19, 2015 by TayB

Calculus 1
Find the local maximum and minimum for the function f(x)=2x^3-3x^2-120x+10
Thursday, November 19, 2015 by TayB

Calculus III
Use symmetry to evaluate the double integral ∫∫R(10+x^2⋅y^5) dA, R=[0, 6]×[−4, 4]. (Give your answer as an exact number.) ∫∫R(10+x^2⋅y^5) dA=
Wednesday, November 18, 2015 by Stevo

Pre Calculus 1
thirty percent of a radioactive substance decays in four years. assuming the decay is exponential, find the half life of the substance. the beginning of 1975 the population of a country was 40 million and growing at a rate of 3% per year. Assume that the growth is exponential...
Wednesday, November 18, 2015 by Yasmine

Business Calculus
The skeleton has lost 56 percent of their carbon-14. The constant proportionality is approximately k=0.000124. Estimate the age of the bones.
Wednesday, November 18, 2015 by Amy

Calculus
Evaluate using long division. The integral of x/6x-5 dx How do I divide this?
Tuesday, November 17, 2015 by Rucha

math (Calculus III)
In this example we should use the beta function. But I'm a bit lost, because I don't know how to change the limits of the integral to fit the one that is needed when using B-function. The problem goes like this: integrate cos^7(x) dx, limits of the integral are from 0 ...
Tuesday, November 17, 2015 by Marie

Calculus
Find the first partial derivatives and evaluate each at the given point. Function w = sqrt(5x^2 + y^2 − 4z^2) Point (2, −4, 2) wx(2, −4, 2) = wy(2, −4, 2) = wz(2, −4, 2) =
Tuesday, November 17, 2015 by Calculus Help

Calculus
Find the four second partial derivatives and evaluate each at the given point. Function f(x, y) = x^3 + 2xy^3 − 9y Point (9, 2) fxx(9, 2) = fxy(9, 2) = fyx(9, 2) = fyy(9, 2) =
Tuesday, November 17, 2015 by Calculus Help

Calculus
Find the first partial derivatives and evaluate each at the given point. Function w = 2x^2y − 6xyz + 10yz^2 Point (2, 5, −3) wx(2, 5, −3) = wy(2, 5, −3) = wz(2, 5, −3) =
Tuesday, November 17, 2015 by akash

Calculus
A pharmaceutical corporation has two locations that produce the same over-the-counter medicine. If x1 and x2 are the numbers of units produced at location 1 and location 2, respectively, then the total revenue for the product is given by R = 700x1 + 700x2 − 2x1^2 −...
Tuesday, November 17, 2015 by akash

calculus
You have been hired by a farmer to design a fenced-in rectangular enclosure for emus. The emus will require 720 square feet of area in which to roam, and the fence will cost 20 dollars per foot. The rectangular area will adjoin an existing wall, so a fence is only needed on ...
Tuesday, November 17, 2015 by carl

Calculus
A tennis ball is dropped from a height of 32 feet, rebounding to 1/2 its former height with each bounce. How far will the ball have traveled VERTICALLY when it comes to a rest?
Monday, November 16, 2015 by Sean

Pre-Calculus
Big Bob is trying to shape up for the summer. He begins on the first day of his exercise program with 3 sit ups. Each day he will do 4 more sit ups than the day before. On what day will Big Bob do 115 sit ups?
Monday, November 16, 2015 by Claire

Calculus
Partial fractions of (2x^2 +8x+24)/(x+2)^2 (x^2 +4) I see a repeated quadratic and an irreducible quadratic..
Sunday, November 15, 2015 by Rucha

pre calculus
find 2 solutions of tan θ=.6524 in both degrees and radians. I know the answer are 33.12 degrees/.578 radians and 213.12 degrees/3.72 radians, but how do you find this? Thanks!!!!
Sunday, November 15, 2015 by elle

Calculus 1
Use Newton's method to approximate the indicated root of the equation correct to six decimal places. The root of x^4 − 2x^3 + 5x^2 − 5 = 0 in the interval [1, 2]
Sunday, November 15, 2015 by TayB

Calculus 1
Consider the function below. f(x)= (x^2)/((x-4)^2) Find the interval where the function is concave up. (Enter your answer using interval notation.) Find the intervals where the function is concave down. (Enter your answers using interval notation.) For interval where the ...
Sunday, November 15, 2015 by TayB

Calculus 1
Find the absolute minimum and absolute maximum values of f on the given interval. f(t) = 16 cos t + 8 sin 2t, [0, π/2]
Saturday, November 14, 2015 by TayB

calculus
Use the Left and Right Riemann Sums with 100 rectangle to estimate the (signed) area under the curve of y=−2x+1 on the interval [0,50]. Write your answer using the sigma notation.
Friday, November 13, 2015 by Mark

Calculus
Use the Left and Right Riemann Sums with 80 rectangle to estimate the (signed) area under the curve of y=e^(3x)−5 on the interval of [10,20]. Write your answer using the sigma notation
Friday, November 13, 2015 by Mark

Calculus 1
Use Newton's method to find the coordinates, correct to six decimal places, of the point on the parabola y = (x − 5)^2 that is closest to the origin.
Friday, November 13, 2015 by TayB

Calculus 1
Use Newton's method to find all roots of the equation correct to six decimal places. (Enter your answers as a comma-separated list.) 7/x = 1 + x^3
Friday, November 13, 2015 by TayB

Calculus 1
Use Newton's method to find the coordinates, correct to six decimal places, of the point on the parabola y = (x − 5)^2 that is closest to the origin.
Friday, November 13, 2015 by TayB

Calculus 1
Of the infinitely many lines that are tangent to the curve y = −4 sin x and pass through the origin, there is one that has the largest slope. Use Newton's method to find the slope of that line correct to six decimal places.
Friday, November 13, 2015 by TayB

Pre-Calculus
1) For tax purposes a manufacturer is allowed to depreciate the value of a machine by 10% each year. If the original value of the machine was $10,000, what would be its value for tax purposes at the end of 6 years. (Assume the depreciation is computed at the end of each year...
Thursday, November 12, 2015 by Anon

Integral Calculus - Series
Find if series is convergent or divergent. Series from n=2 to infinity (4n+7)/(3n^3 -8n)
Thursday, November 12, 2015 by John

Calculus 1
Of the infinitely many lines that are tangent to the curve y = −4 sin x and pass through the origin, there is one that has the largest slope. Use Newton's method to find the slope of that line correct to six decimal places.
Thursday, November 12, 2015 by TayB

Calculus
Find the area of the unbounded shaded region. Y= 7/ SQRT (7-X)
Thursday, November 12, 2015 by akash

Calculus
A professional athlete signs a four-year contract in which the earnings can be modeled by c = 300,000 + 750,000t, where t represents the year. (a) Find the actual value of the athlete's contract. =7200000 (b) Assuming an annual inflation rate of 4%, what is the present ...
Thursday, November 12, 2015 by akash

Calculus
Find the area of the unbounded shaded region. Y= 7/ SQRT 7-X
Thursday, November 12, 2015 by Please Help Me !

Calculus
A professional athlete signs a four-year contract in which the earnings can be modeled by c = 300,000 + 750,000t, where t represents the year. (a) Find the actual value of the athlete's contract. =7200000 (b) Assuming an annual inflation rate of 4%, what is the present ...
Thursday, November 12, 2015 by Calculus Help

Calculus
A professional athlete signs a four-year contract in which the earnings can be modeled by c = 300,000 + 750,000t, where t represents the year. (a) Find the actual value of the athlete's contract. (b) Assuming an annual inflation rate of 4%, what is the present value of the...
Thursday, November 12, 2015 by Calculus Help

Calculus
Use integration by parts to evaluate the definite integral. S 12 x/sqrt of x+4 dx 0
Thursday, November 12, 2015 by Justin

Calculus 1
Use Newton's method to find all roots of the equation correct to six decimal places. (Enter your answers as a comma-separated list.) (x − 9)^2 =ln x
Thursday, November 12, 2015 by TayB

Calculus 1
Use Newton's method with initial approximation x1 = −2 to find x2, the second approximation to the root of the equation x^3 + x + 1 = 0. *I got -1.307692 for my answer but it said that was wrong, so then I tried rounding it to two decimal places and got -1.31 and ...
Thursday, November 12, 2015 by TayB

Calculus 1
A piece of wire 23 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? (b) How much wire should be used for the square in order ...
Wednesday, November 11, 2015 by TayB

Calculus
Evaluate using Integration by Parts. x^2 cos(3x) dx
Wednesday, November 11, 2015 by Anonymous

Pre-Calculus
A parallelogram has adjacent sides 7 cm and 15 cm. If the shorter diagonal is 10 cm long, find the length of the longer diagonal.
Tuesday, November 10, 2015 by starmario12

Calculus
Evaluate the definite integral using the properties of even and odd functions. S 2 (1/2 t^4+3)dt -2
Tuesday, November 10, 2015 by Please Help

pre-Calculus
Evaluate the definite integral using the properties of even and odd functions. S 2 (1/2 t^4+3)dt -2
Tuesday, November 10, 2015 by Calculus Help

Calculus
The marginal cost of a product is modeled by dC/dx =12/Cube root (12x+5) where x is the number of units. When x = 13, C = 160. (a) Find the cost function. (Round your constant term to two decimal places.) C= Ans- 3/2(12x+5)^2/3 +115.61 ???? (b) Find the cost of producing 70 ...
Tuesday, November 10, 2015 by akash

Calculus
Find the local maximum and local minimum of the function. f(x) = x^3 − 12x^2 − 27x + 7
Monday, November 9, 2015 by Callie

Calculus-antiderivative
Find f. f ''(θ) = sin θ + cos θ, f(0) = 5, f '(0) = 3 My steps: f'(θ)=cosθ-sinθ+C When f'(0)=3, C=-2, so f'(θ)=cosθ-sinθ-2. f(θ)=-sinθ-cosθ-2x+D When f(0)=5, D=6, so f is -sinθ-cosθ-...
Monday, November 9, 2015 by Callie

Calculus
Find the critical numbers of the function. (Use n to denote any arbitrary integer values.) f(θ) = 12 cos θ + 6 sin2θ My answer was pi/2 and 3pi/2, but those were wrong. I don't understand the 'n' part, either.
Monday, November 9, 2015 by Callie

Calculus
How do you integrate 2x^5 • e^x^2 ? I would say that this cannot be evaluated because the answer is more complicated than the original problem. Am I correct? Or is it doable?
Monday, November 9, 2015 by Rucha

Calculus
Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 17 + 4x − x^2, [0, 5] I got -13 and 17, but the answers were wrong. Take the derivative for the critical values, right? To get 2 as a critical value. What from there?
Monday, November 9, 2015 by Callie

Calculus
The rate of growth dP/ dt of a population of bacteria is proportional to the square root of t with a constant coefficient of 9, where P is the population size and t is the time in days (0¡Üt¡Ü10). The initial size of the population is 700. Approximate the...
Monday, November 9, 2015 by Beth

calculus
use symmetry to evaluate the double integral (1+x^2siny+y^2sinx)dA, R=[-pi,pi]x[-pi,pi]. let g(x) and h(y) be two functions: int(c to d)int(a to b)(g(x,y)+h(x,y))dxdy=int(c to d)int(a to b)g(x,y)dxdy+int(c to d)int(a to b)h(x,y)dxdy
Monday, November 9, 2015 by Inna

Calculus
how do you solve this trig identity? i don't get it at all! cos(a+b)cos(a-b)=cos^2a-cos^2b-1
Monday, November 9, 2015 by sakura

Calculus
Find the lim x→∞ of (ln(x))^2)/x using L'hospital's rule. I got - infinity when I did this, but I think I was looking at the numerator wrong when I took the derivative.
Sunday, November 8, 2015 by Callie

Calculus
Find the volume of the solid obtained by rotating the region under the graph of f(x)= 9-x^2 for 0<= x<=3 about the vertical axis x= -2. My answer: 81 pi/2
Sunday, November 8, 2015 by Rucha

Pre-Calculus
Two lookout towers are situated on mountain tops A and B, 4 mi from each other. A helicopter firefighting team is located in a valley at point C, 3 mi from A and 2 mi from B. Using the line between A and B as a reference, a lookout spots a fire at an angle of α = 42° ...
Sunday, November 8, 2015 by Samantha

Calculus
Find the area of the region between the graphs of f(x)=3x+8 and g(x)=x^2 +2x+2 over [0,2]. My answer: 34/3
Sunday, November 8, 2015 by Rucha

calculus
assume x and y are functions of t. Evaluate dy/dt for 2xy--4x/3y^3=48, with conditions dx/dt=-6,x=3, y=-2
Sunday, November 8, 2015 by faye

Calculus
Consider a sphere container with radius R. 1. Suppose it is filled to height h, below halfway, with water. Find the volume of the water. 2. What is the proportion of the sphere's total volume taken up by the water filled as described in problem #1? 3. Suppose it us filled ...
Saturday, November 7, 2015 by Anonymous

Calculus-Reiny
Yay! Reiny, you read the description of f(x) correctly. Recall the problem posted earlier: Let f(x)= abs of negative abs of x + pi/2 close abs and g(x)= abs of cosx. the wording might be confusing so here is another description of the equation (the "vertical line" ...
Saturday, November 7, 2015 by Anonymous

Calculus
suppose a sphere container of radius R=10 cm is fulled to a height of h=2 cm with a magic potion of density p=12g/mm^3. If the empty container weighs 500 g, how much does it weigh after the potion is poured in?
Saturday, November 7, 2015 by Anonymous

Calculus
Let f(x)= abs of negative abs of x + pi/2 close abs and g(x)= abs of cosx. the wording might be confusing so here is another description of the equation (the "vertical line" that I refer to is the line you draw as you draw the absolute value sign...for example "...
Saturday, November 7, 2015 by Anonymous

Calculus
Evaluate the integral. (Remember to use ln(|u|) where appropriate.) cot^3(3x) dx
Saturday, November 7, 2015 by Anonymous

Calculus
In a right triangle, the hypotenuse is of fixed length of 15 units, one side is increasing in length by 4 units per second while the third side is decreasing in size. At a certain instant the increasing side is of length 9 units. Find the rate of change of the third side at ...
Saturday, November 7, 2015 by Bob

Calculus
Find the Absolute Maximum and Absolute Minimum of f on (0,3]. f(x)=(x^3-4x^2+7x)/x Multiple choice question I know the minimum is (2,3) but the maximum is either nothing or (0,7) but I can't tell which one
Saturday, November 7, 2015 by Henry

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Homework Help: Math