Tuesday
September 27, 2016

Homework Help: Math: Calculus

Recent Homework Questions About Calculus

Calculus
a rancher has 1200 fet of fencing to enclose two adjacent cattle pens. What dimensions should be used so that the enclosed area is maximized?
Wednesday, March 23, 2016 by Dante

calculus
an air balloon is 80ft away from you with the angle of elevation of the rising balloon changing at a rate of 4 degrees per second how fast is the balloon rising when it is 6 feet off the ground.
Wednesday, March 23, 2016 by marcos

AP Calculus AB
Set up, but do not evaluate, the integral which gives the volume when the region bounded by the curves y = Ln(x), y = 1, and x = 1 is revolved around the line y = -1. I dont understand the washer thickness topic which is why im having trouble with this question
Wednesday, March 23, 2016 by Vikram

AP Calculus AB
An object has a constant acceleration of 40 ft/sec2, an initial velocity of -20 ft/sec, and an initial position of 10 ft
Wednesday, March 23, 2016 by Vikram

Calculus
An airplane is flying above an observer standing on the ground. At the moment it passes overhead, the observer judges by its apparent size that the airplane’s altitude is 30,000 feet. It takes 50 seconds for the plane, moving in a straight, horizontal line, to move ...
Wednesday, March 23, 2016 by Anonymous

Calculus
A 15.5 foot ladder leaning up against the building .the base is 8.2 feet away from the building .how far up does the ladder reach against the building.
Monday, March 21, 2016 by Vickie

Calculus
1) A telephone company has 10,000 phones in a certain city where the basic rate is $4 per month. The officials have evidence that if the charge is reduced the number of phones will increase at an estimated rate of 1,000 phones for each 25 cent reduction. What rate would yield ...
Monday, March 21, 2016 by Omar

calculus
the vector function r(t)=< 5 sin t, 3 sec t > , represents the position of a particle at time t. find the velocity v (t) and acceleration a (t). I don't know how to solve it without the t given. Please help
Monday, March 21, 2016 by Danny

calculus
Find the solution of the differential equation that satisfies the given initial condition. dp/dt=2 sqrt(pt), P(1)=5 my answer: P=(2/3t^(3/2)+(15sqrt(5)-10)/15)^2 how is it wrong?
Sunday, March 20, 2016 by kyle

Math
For a calculus quiz, the teacher will choose 11 questions from the 15 in a set of review exercises. How many different sets of questions could the teacher choose
Sunday, March 20, 2016 by Rose

Calculus
Gravel is being dumped from a conveyor belt at a rate of 15 ft^3/hr and its coarseness is such that is forms a pile in the shape of an inverted right cone whose height is three times its base radius. How fast is the height of the pile increasing when the pile has a height of ...
Saturday, March 19, 2016 by Izzy

Calculus
Gravel is being dumped from a conveyor belt at a rate of 15 ft^3/hr and its courseness is such that is forms a pile in the shape of an inverted right cone whose height is three times its base radius. How fast is the height of the pile increasing when the pile has a height of ...
Saturday, March 19, 2016 by Sam

Calculus
Rectangular sheet of metal 750mm by 300mm - find length of the sides of the squares to give max volume to the box, and find maximum volume of the box?
Saturday, March 19, 2016 by Danny

integral calculus
find the volume of the solid generated by revolving the area by the given curves about the indicated axis of revolution y^2=4ax,x=a;about the y-axis.
Friday, March 18, 2016 by Anonymous

integral calculus
find the volume of the solid generated by revolving the area by the given curves about the indicated axis of revolution y^2=4ax,x=a;about the y-axis
Friday, March 18, 2016 by Anonymous

Calculus (Line Integral)
Let c be a curve w/parameterization r(t). show that the line integral of T dr equals the length of the curve where T is the unit tangent.
Friday, March 18, 2016 by Marie

AP Calculus AB
2. For an object whose velocity in ft/sec is given by v(t) = -t^2 + 6, what is its displacement, in feet, on the interval t = 0 to t = 3 secs? 3. Find the velocity, v(t), for an object moving along the x-axis if the acceleration, a(t), is a(t) = cos(t) - sin(t) and v(0) = 3. v...
Friday, March 18, 2016 by Vikram

Calculus
A rectangle is inscribed in the interior section cut from the parabola x = 1/4 y2 by the line x=3. One side of the rectangle lies on the line. Fine the maximum area of such a rectangle.
Thursday, March 17, 2016 by J

Calculus Related Rates
Two sides of a triangle are 5 and 8 and the angle between them is increasing at .05 rad/sec. how fast is the distance between the tips of the sides increasing when the angle is pi/4
Thursday, March 17, 2016 by Sam

Calculus Related Rates
A balloon is 70 feet from an observer which is rising at 15 ft/sec. At 5 seconds after lift off, how fast is the angle of elevation changing?
Thursday, March 17, 2016 by Sam

Calculus Related Rates
If a spherical balloon is inflated and its volume is increasing at a rate of 6 in^3/min. What is the rate of change of the radius when the radius is 3 inches??
Thursday, March 17, 2016 by Hailey

Integral calculus
find the work required to pull up the anchor if the cable weighs 20 lb/ft in water
Wednesday, March 16, 2016 by Anonymous

Integral calculus
find the work required to pull up the anchor if the cable weighs 20 lb/ft in water
Wednesday, March 16, 2016 by Anonymous

calculus!!!! help
integrate:cosx+2/cosx+sinx
Wednesday, March 16, 2016 by daniel

calculus help!!!!! plz
integrate:cosx+2/cosx+sinx?????
Wednesday, March 16, 2016 by daniel

Calculus
(b) Find a solution of the initial-value problem. (Hint: First verify that all members of the family y = 4/x + C are solutions of the given equation.) y' = −1/4y^2 y(0) = 0.25
Wednesday, March 16, 2016 by Kaitlyn

Calculus
Estimate the area under the curve f(x) = x2 + 1 from x = 0 to x = 6 by using three circumscribed (over the curve) rectangles. Answer to the nearest integer.
Tuesday, March 15, 2016 by Shane

Calculus
If the area under the curve of f(x) = x2 + 2 from x = 1 to x = 6 is estimated using five approximating rectangles and right endpoints, will the estimate be an underestimate or overestimate? Underestimate Overestimate The area will be exact The area cannot be estimated with ...
Tuesday, March 15, 2016 by Lilly

Calculus
Two cruise ships leave the same point outside St. John’s harbor at noon. Ship A travels west at 20 km/hr, while Ship B travels south at 25 km/hr. Using calculus, determine how fast they are separating from each other at 2:00 p.m.
Tuesday, March 15, 2016 by Ashley

Calculus
Suppose the integral from 2 to 8 of g of x, dx equals 5, and the integral from 6 to 8 of g of x, dx equals negative 3, find the value of the integral from 2 to 6 of 2 times g of x, dx . 8 MY ANSWER 12 16 4
Tuesday, March 15, 2016 by Lilly

Calculus
Which of the following integrals cannot be evaluated using a simple substitution? the integral of 1 divided by the quantity x squared plus 1, dx the integral of 1 divided by the quantity x squared plus 1, dx the integral of x divided by the quantity x squared plus 1, dx (MY ...
Tuesday, March 15, 2016 by Tiff

Calculus
If f(x) and g(x) are continuous on [a, b], which one of the following statements is true? ~the integral from a to b of the difference of f of x and g of x, dx equals the integral from a to b of f of x, dx minus the integral from a to b of g of x dx ~the integral from a to a of...
Tuesday, March 15, 2016 by Tiff

Calculus
Given that the antiderivative of f(x) = e4x is F(x) = 1/4e^4x+C, evaluate the integral from 0 to 2 of e^4x, dx. e^8 1/4(1-e^8) 1/4(e^8-1) 1/4e^8 (MY ANNSWER)
Tuesday, March 15, 2016 by Jess

Calculus
Determine the interval on which f(x) = ln(x) is integrable. (0, ‡) [0, ‡) (−‡, 0) U (0, ‡)(MY ANSWER) All reals
Tuesday, March 15, 2016 by Jess

Calculus
For what values of a and b is (2, 2.5) is an inflection point of the curve x^2 y + ax + by = 0 ? What additional inflection points does the curve have?
Tuesday, March 15, 2016 by Methendis

Calculus
Use Euler's method with step size 0.2 to estimate y(1), where y(x) is the solution of the initial-value problem given below. (Round your answer to four decimal places.) y' = 1 − xy y(0) = 0 I don't even know how to start!
Tuesday, March 15, 2016 by Kaitlyn

calculus
Find the radius of the base and altitude of a right circular cone of maximum volume that could be inscribed in a sphere at radius 10 meters.
Monday, March 14, 2016 by Cheska

calculus
water is pouring into a conical cistern at the rate of 8 m^3/minute. If the height of the inverted cone is 12 meters and the radius of its circular opening is 6 meters, how fast is the water level rising when the water is 4 meters depth?
Monday, March 14, 2016 by Anonymous

calculus
The surface area of a sphere initially zero increases uniformly at the rate of 26 cm^2/seconds. Find the rate at which the radius is increasing at the end of 2 seconds.
Monday, March 14, 2016 by Anonymous

Calculus
Use the integral identity: ∫(a-1) (1/(1+x^2))dx=∫(1-1/a) (1/(1+u^2))du for a>1 to show that: arctan(a)+arctan(1/a)=π/2
Monday, March 14, 2016 by Andre

Calculus Related Rates
Two people leave from the same spot and walk at 4 ft/sec going north and 5 ft/sec northwest. At 30 seconds, how fast is the distance between them changing??
Monday, March 14, 2016 by Hailey

Calculus Related Rates
A balloon, 50 feet from an observer, is rising at 20 ft/sec. At 5 seconds after lift off 1. How fast is the distance between the observer and the balloon changing? 2. How fast is the angle of elevation changing? I need help on both questions. Thanks in advance smart people!!
Monday, March 14, 2016 by Sally

Calculus
Starting with an initial guess of x=2, use Newton’s method to approximate (Third root of 7). Stop the iterations when your approximations converge to four decimal places of accuracy. Compare with the approximation provided by your calculator I'm so stuck
Sunday, March 13, 2016 by Tia

Calculus
Using a linear approximation or differentials, approximate:(26.98)^(3/4) thank you for your help!
Sunday, March 13, 2016 by Emma

calculus
area between the curves y^2=4x , 7y=2x+20 , 2x+3y=0
Sunday, March 13, 2016 by angelo

Calculus
Find the equation of the line tangent to the curve y=(x^2+3)^1/2 that is perpendicular to the line 2x-y+7=0
Saturday, March 12, 2016 by Courtney

calculus
The region bounded by y=x^2 and y=4 is rotated about the line y=-1. Find the volume.
Saturday, March 12, 2016 by dee

Calculus
The temperature of a pan of hot water varies according to Newton's Law of Cooling: dT/dt=-k(T-A), where T is the water temperature, A is the room temperature, and k is a positive constant. If the water cools from 90°C to 85°C in 1 minute at a room temperature of 30...
Saturday, March 12, 2016 by Una Rosa

Calculus
Find the specific solution of the differential equation dy/dx = 4y/x^2 with condition y(−4) = e. y= -1 - 4/x <- my answer y=-1*e^(1/x) y=e^(-4/x) None of these
Saturday, March 12, 2016 by Una Rosa

Calculus
Hi it's me again I need help with this too and I promise to never use this site again! I feel so ashamed for asking :( Use the Fundamental Theorem to evaluate the integral from 0 to 3 of the quantity x cubed minus 6 times x, dx.The answer has to have the antiderivative too...
Friday, March 11, 2016 by Adrianna

Calculus
Can someone help and express the given integral as the limit of a Riemann sum but do not evaluate: the integral from 0 to 3 of the quantity x cubed minus 6 times x, dx.
Friday, March 11, 2016 by Sammy N.

Calculus
Evaluate the Riemann sum for (x) = x3 − 6x, for 0 ≤ x ≤ 3 with six subintervals, taking the sample points, xi, to be the right endpoint of each interval and please explain, using a graph of f(x), what the Riemann sum represents. My cousin needs help with her ...
Friday, March 11, 2016 by Adrianna

Calculus
Which of the following is the general solution of the differential equation dy/dx = 2x/y? y2 = x2 + C y2 = 2x2 + C <- my answer y2 = 4x2 + C x2 − y2 = C
Friday, March 11, 2016 by nan

Calculus
The slope of the tangent line to a curve at any point (x, y) on the curve is x/y. What is the equation of the curve if (4, 1) is a point on the curve? x2 − y2 = 15 x2 + y2 = 15 x + y = 15 <- my answer xy = 15
Friday, March 11, 2016 by nan

Calculus
The temperature of a pan of hot water varies according to Newton's Law of Cooling: dT/dt=-k(T-A), where T is the water temperature, A is the room temperature, and k is a positive constant. If the water cools from 90°C to 85°C in 1 minute at a room temperature of 30...
Friday, March 11, 2016 by nan

Calculus
Find the specific solution of the differential equation dy/dx = 4y/x^2 with condition y(−4) = e. y equals negative 1 minus 4 divided by x <- my answer y equals negative 1 times e raised to the 1 over x power y equals e raised to the negative 4 over x power None of these
Friday, March 11, 2016 by nan

calculus
Find the point on the line –3x+4y–5=0 which is closest to the point (0–5)
Thursday, March 10, 2016 by Taylor

Calculus
The particular solution of the differential equation dy/dt=2*y for which y(0) = 60 is y = 60e2t y = 60 e0.5t y = 59 + et y = 30et
Thursday, March 10, 2016 by nan

Calculus
The slope of the tangent line to a curve at any point (x, y) on the curve is x/y. What is the equation of the curve if (4, 1) is a point on the curve? x2 − y2 = 15 x2 + y2 = 15 x + y = 15 xy = 15
Thursday, March 10, 2016 by nan

Calculus
The temperature of a pan of hot water varies according to Newton's Law of Cooling: dT/dt=-k(T-A), where T is the water temperature, A is the room temperature, and k is a positive constant. If the water cools from 90°C to 85°C in 1 minute at a room temperature of 30...
Thursday, March 10, 2016 by nan

Calculus
Find the specific solution of the differential equation dy/dx = 4y/x^2 with condition y(−4) = e. y equals negative 1 minus 4 divided by x y equals negative 1 times e raised to the 1 over x power y equals e raised to the negative 4 over x power None of these
Thursday, March 10, 2016 by nan

Calculus
Express the given integral as the limit of a Riemann sum but do not evaluate: the integral from 0 to 3 of the quantity x cubed minus 6 times x, dx.
Thursday, March 10, 2016 by nan

Calculus
Use the Fundamental Theorem to evaluate the integral from 0 to 3 of the quantity x cubed minus 6 times x, dx. (Your answer must include the antiderivative.) Use a graph of the function to explain the geometric meaning of the value of the integral.
Thursday, March 10, 2016 by nan

Calculus
Evaluate the Riemann sum for (x) = x3 − 6x, for 0 ≤ x ≤ 3 with six subintervals, taking the sample points, xi, to be the right endpoint of each interval. Give three decimal places in your answer and explain, using a graph of f(x), what the Riemann sum in ...
Thursday, March 10, 2016 by nan

Calculus
Evaluate the Riemann sum for (x) = x3 − 6x, for 0 ≤ x ≤ 3 with six subintervals, taking the sample points, xi, to be the right endpoint of each interval. Give three decimal places in your answer.
Thursday, March 10, 2016 by nan

calculus
water is being siphoned from a cylindrical tank of radius 10m into a rectangular tank whose base measures 20m by 15m. if the depth of the water in the cylindrical tank in decreasing at a rate of 2m/s, at what rate is the depth of the water increasing in the rectangular tank
Thursday, March 10, 2016 by Emily

Calculus
Find equation of two tangent lines to curve y=x^2 that intersect @ (2,-2). Need exact values.
Tuesday, March 8, 2016 by Jake

Calculus - Rates of Change
A water tank has a shape of an inverted cone with a base radius of 2m and a height of 4 m. If water is being pumped into the tank at a rate of 2m3/min, then find the rate at which the water level is rising when the water is 3m deep. Attempted solution: V= 1/3πr^2h V= 1/3...
Monday, March 7, 2016 by Melissa

Calculus
How to do this vertical slicing question: find the area under the curve for the function y=(2x+1)^2 of the interval -1<=x<=3. I am not sure how to do this, but it may involve breaking the integral up. How though?
Monday, March 7, 2016 by Cindy

Calculus with Analytical Geometry 1
Jack Brown received two offers for his property: 1. 130000 in 5 months. 2. $13500 every months for the next 10 months. Find the present value of the two offers if theory is worth 12% compounded monthly.
Monday, March 7, 2016 by Keon

AP Calculus AB
Find the volume of the solid formed by revolving the region bounded by the graphs of y = x^2, x = 4, and y = 1 about the y-axis 39pi/2 225pi/2 735pi/2 None of these I got 39pi/2
Monday, March 7, 2016 by Vikram

Calculus
The City Electric System(CES) recently constructed a major transmission line along parts of South Street in the city. The transmission lines are strung between power poles and the hanging lines form a catenary curve. For this Problem we will use the following equation y=(T/w)...
Monday, March 7, 2016 by Jay

Calculus: Implicit Derivatives
Compute d/dx[f(g(x))] -where f(x)=x^4-x^2 -and g(x)=x^2-7 (Note: I tried 5 times but I still got this wrong. Plz help)
Monday, March 7, 2016 by Dominick

Calculus / Rates of Change
A jet flying due north at 16km/min passes 2 km directly above a plan flying due east at 8km/min. How quickly are they separating when the plane is 32 km from the crossover? What I have done (I am not sure if it is correct.): r^2=x^2+y^2+z^2 Since the plane has gone 32 meters, ...
Sunday, March 6, 2016 by Jermaine

Calculus / Rates of Change
A cylindrical tank with a circular base of 8m in diamante is being filled at 4m3/min. How fast is the level rising when it is half full? Known: d=8m 2r=d r=d/2 d(v)/dt=4.0m3/min Confusion: How to apply the "half full" concept.
Sunday, March 6, 2016 by Jermaine

Calculus / Rates of Change
An isosceles triangle has a base that is 1.5 times the height. If the area is increasing at 9cm2/s, how fast is the height increasing when it is 12 cm high? Known: base=1.5H dA/dt=9.0cm2/s h=12cm dh/dt= ? Area for a triangle: LxW/2 After that, I am confused.
Sunday, March 6, 2016 by Jermaine

Calculus, Really need help!
Compute d/dx(f(g(x))) -where f(x)= square root of x -and g(x)=x^2+7
Sunday, March 6, 2016 by Dominick

Calculus
Starting at midnight, a 10 foot radius circular pond freezes inward from the outer edge at a rate of 4 inches per hour. How fast is the open area shrinking at when the radius is 9 feet? (Note: if I'd said "at 3am" instead of "when radius is 9 ft", this ...
Sunday, March 6, 2016 by Lela Mitevska

Calculus Derivatives
Determine the concavity of f(x)=xlnx I end up with F''(x)=1/x, where it would be concave up when x>0 and concave down when x<0 Is this correct?
Saturday, March 5, 2016 by Isabella

Calculus
Integrate dx/(sqrt(x^2+16)). I have no idea how to start and which method to use. Thinking some sort of trig substitution? But it doesn't look like it. Step by step? Answer key says ln|x+ sqrt(x^2+16)|.
Saturday, March 5, 2016 by Cindy

calculus
a) Let f(z) = z^2 and γ(t) = 1 + it^3, t ∈ [0,1]. i) Write out the contour integral ∫γ f(z)dz as an integral with respect to t. You do not need to evaluate this integral. ii) Evaluate the integral ∫0,1+i z^2dz iii) What is the relationship between ...
Saturday, March 5, 2016 by jack

Calculus
Compute, in terms of A, B, h, and k, the area enclosed by the curve defined by parametric equations. x(θ)=Acosθ+h and y(θ)=Bsinθ+k. 0≤θ≤2π.?
Friday, March 4, 2016 by Collin Richards

Calculus with Analytical Geometry
1. A bullet is shot upwards with an initial velocity of 1000 ft/sec from a point 20 ft above groand its height above the ground at time t is given by h(t)=-16t^2 + 1000t + 20. How high will the bullet go and how long will it take the bullet to reach the highest point? 2. A ...
Friday, March 4, 2016 by Sherianna

Calculus
Show that f(x) = 2000x^4 and g(x) = 200x^4 grow at the same rate I know that they grow at the same rate because they are both raised to the same power, but i don't know how to show it.
Friday, March 4, 2016 by Henry

Pre calculus
Your computer supply store sells two types of laser printers. The first type, A, has a cost of $86 and you make a $45 profit on each one. The second type, B, has a cost of $130 and you make a $35 profit on each one. You expect to sell at least 100 laser printers this month and...
Friday, March 4, 2016 by Maddie

Calculus
Find the range of the function ∫sqrt(4-t^2) dt where a=0 =x [0, 4π] [0, 2π] [-4, 0] [0, 4]
Friday, March 4, 2016 by Henry

calculus
a) Obtain all solutions of the equation z^3 +1 = 0 b) Let z = x + iy. Obtain the real and imaginary parts of the function f(z) = 1/1+z c) Let f(x + iy) = x^2 - y^2 + iv( x,y). Determine a function v such that f is differentiable in the whole complex plane. Express f as a ...
Thursday, March 3, 2016 by jack

Calculus Related Rates
Two people leave from the same spot and walk at 4ft/sec going north and 5ft/sec going northwest. At 30 seconds, how fast is the distance between them changing?
Thursday, March 3, 2016 by Sally

Calculus
Find the y-intercept of the tangent line to y= -0.2/sqrt(6+5x) at(2.5,-0.04990597277) Thanks
Thursday, March 3, 2016 by Niki

calculus 1
f(x) = 3x^3 - 9x + 5 find the: 1) zeroes or undefined values 2) intervals where the function is greater than zero 3) intervals where the function is less than zero 4) coordinates of all maxima and minima 5) intervals where the function is increasing 6) intervals where the ...
Thursday, March 3, 2016 by i

Calculus Related Rates
Mulch is dumped into a pile with height always 1/3 the diameter at a rate of 30 ft^3/hr. How fast is the height increasing when it is 6 ft tall?
Thursday, March 3, 2016 by Sally

pre calculus
A box with a square base and no top is to be made from a square piece of carboard by cutting 5 in. squares from each corner and folding up the sides. The box is to hold 23805 in3. How big a piece of cardboard is needed?
Thursday, March 3, 2016 by Hai

Pre calculus
You have a wire that is 71 cm long. You wish to cut it into two pieces. One piece will be bent into the shape of a square. The other piece will be bent into the shape of a circle. Let A represent the total area of the square and the circle. What is the circumference of the ...
Thursday, March 3, 2016 by Hai

Calculus
A rectangle is bounded by the x-axis and the semicircle y = sqrt(36-x^2). What length and width should the rectangle have so that its area is a maximum? I understand that 2xy = A and that 4x + 2y = P, but I'm not sure how to solve for a variable to plug back into the ...
Wednesday, March 2, 2016 by Jane

Math
Using FTC(fundamental theory of calculus) evaluate the derivative of: (definte integral- lower bound 0 and upper 2) ∫|2x-1|dx I have no idea how to do this, especially because the dx is on the same side of the equation. It is usually d/dx, but this is also on the other ...
Wednesday, March 2, 2016 by Cindy

Calculus
Determine if the Mean Value Theorem for Integrals applies to the function f(x) = 5 - x^2 on the interval 0 to sqrt 5 . If so, find the x-coordinates of the point(s) guaranteed by the theorem.
Wednesday, March 2, 2016 by Henry

Calculus
Find the lengths of a triangle whose two sides lie on the coordinate axes and the other side passes through the point (1,1)
Tuesday, March 1, 2016 by Anonymous

Calculus
Find the lengths of a triangle whose two sides lie on the coordinate axes and the other side passes through the point (1,1)
Tuesday, March 1, 2016 by Anonymous

Calculus Related Rates
A hot air balloon, 50 feet from an observer, is rising at 20 ft/sec. At 5 seconds after lift off 1. How fast is the distance between the observer and the balloon changing? 2. How fast is the angle of elevation changing?
Tuesday, March 1, 2016 by Mary

AP Calculus AB
For an object whose velocity in ft/sec is given by v(t) = -t^2 + 6, what is its displacement, in feet, on the interval t = 0 to t = 6 secs? -36 36 0 55.596 For an object whose velocity in ft/sec is given by v(t) = -2t^2 + 4, what is its distance travelled, in feet, on the ...
Tuesday, March 1, 2016 by Vikram

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