Sunday

June 26, 2016
**Calculus derivatives**

Consider the equation x^2 + xy + y^2 = 1 Find all points where the tangent line is parallel to the line y = −x. Thank you for helping
*Sunday, April 10, 2016 by Jumpman*

**Calculus**

limit of (x*(y-1)^2*cosx)/(x^2+2(y-1)^2) as (x,y)->(0,1). By evaluating along different paths this limit often goes to 0. This does not necessarily imply that it exists. So how would i prove that it exists. Can someone please show me how i can prove using delta - epsilon ...
*Sunday, April 10, 2016 by Jim*

**Please Help ! Calculus**

Find two numbers whose sum is 42 and whose product will be at the largest possible.
*Sunday, April 10, 2016 by Wawen*

**Calculus**

Determine the following limits if it exists. a. lim x-->5 (4x/x-5)
*Sunday, April 10, 2016 by Marc*

**Calculus**

Find the volume of the solid bounded below by the parabloid z = x^2 + y^2 and above by the plane 2x + z = 3
*Sunday, April 10, 2016 by Macy*

**Calculus**

An energy drink container in the shape of a right circular cylinder must have a volume of 12 fluid ounces (1 fluid ounce is approximately 1.80469 cubic inches). The cost per square inch of constructing the top and bottom is twice the cost of constructing the lateral side. Find...
*Sunday, April 10, 2016 by Katie*

**Calculus (30min before deadline help pls )**

A street light is at the top of a 16 ft pole. A 5 ft tall girl walks along a straight path away from the pole with a speed of 3 ft/sec. At what rate is the tip of her shadow moving away from the light (ie. away from the top of the pole) when the girl is 36 ft away from the ...
*Saturday, April 9, 2016 by Amelia*

**Calculus**

Find the largest volume V of the circular cone that can be inscribed in a sphere of radius = 10 cm
*Saturday, April 9, 2016 by Wawen*

**Calculus**

A landscape architect wished to enclose a rectangular garden on one side by a brick wall costing $60/ft and on the other three sides by a metal fence costing $50/ft. If the area of the garden is 102 square feet, find the dimensions of the garden that minimize the cost.
*Saturday, April 9, 2016 by Sarah *

**Calculus**

Reverse the order of the double integral (y+1) dx dy, where -1<= y <= 4 and y - 4 <= x <= 4y-y^2
*Friday, April 8, 2016 by Marie*

**Calculus**

Find the volume of the solid obtained by rotating the region bounded by the curves y=cos(x), y=0, x=0, and x=π/2 about the line y=1.
*Friday, April 8, 2016 by Ayaka*

**Calculus**

Find a cubic function f(x)=ax^3+cx^2+d that has a local maximum value of 9 at -4 and a local minimum value of 6 at 0. Find a, c, and d.
*Thursday, April 7, 2016 by Anonymous*

**Calculus**

Suppose the derivative of a function f is f′(x)=(x−8)^7(x−1)^4(x+19)^8. Then the function f is increasing on the interval what?
*Thursday, April 7, 2016 by Anonymous*

**Calculus**

Consider the function f(x)=xsqrt(36−x^2), −1≤x≤6. This function has an absolute minimum value equal to what?
*Thursday, April 7, 2016 by Anonymous*

**calculus**

Use a(t) = -32 ft/sec2 as the acceleration due to gravity. (Neglect air resistance.) A ball is thrown vertically upward from a height of 4 feet with an initial velocity of 79 feet per second. How high will the ball go? (Round your answer to two decimal places.)
*Thursday, April 7, 2016 by Sam*

**calculus**

The maker of an automobile advertises that it takes 15 seconds to accelerate from 15 kilometers per hour to 70 kilometers per hour. Assuming constant acceleration, (a) The distance the car travels during the 15 seconds (Round your answer to two decimal places.)
*Thursday, April 7, 2016 by Sam*

**calculus**

Use a(t) = -32 ft/sec2 as the acceleration due to gravity. (Neglect air resistance.) A ball is thrown vertically upward from a height of 4 feet with an initial velocity of 79 feet per second. How high will the ball go? (Round your answer to two decimal places.)
*Thursday, April 7, 2016 by Sam*

**Calculus **

A festivals being planned. The planners need to enclose to adjacent 200 M^2 areas with fencing. They have budgeted $1000 for fencing. Fencing currently cost $10/meter. The diagram of the area is as follows: (The diagram is 2 adjacent squares, the areas of both squares are 200 ...
*Thursday, April 7, 2016 by Roygbiv*

**calculus**

Consider a particle moving along the x-axis where x(t) is the position of the particle at time t, x'(t) is its velocity, and x''(t) is its acceleration. A particle moves along the x-axis at a velocity of v(t) = 5/√t, t > 0. At time t = 1, its position is x...
*Thursday, April 7, 2016 by Sam*

**calculus**

Use a(t) = −9.8 meters per second per second as the acceleration due to gravity. (Neglect air resistance.) A canyon is 2300 meters deep at its deepest point. A rock is dropped from the rim above this point. Write the height of the rock as a function of time t in seconds...
*Thursday, April 7, 2016 by Sam*

**calculus**

Use a(t) = -9.8 meters per second per second as the acceleration due to gravity. (Neglect air resistance.) A baseball is thrown upward from a height of 3 meters with an initial velocity of 7 meters per second. Determine its maximum height. (Round your answer to two decimal ...
*Thursday, April 7, 2016 by Sam*

**calculus**

Find the particular solution that satisfies the differential equation and the initial condition. f ''(x) = x^2, f '(0) = 8, f(0) = 8 f (x) = ?
*Thursday, April 7, 2016 by Sam*

**Calculus**

A festivals being planned. The planners need to enclose to adjacent 200 M^2 areas with fencing. They have budgeted $1000 for fencing. Fencing currently cost $10/meter. The diagram of the area is as follows: 1. Write an equation representing the total length of fence, L, ...
*Wednesday, April 6, 2016 by Roygbiv*

**College Algebra/pre-calculus**

Find the domain (This in fraction form) f(x)=x+3 x^2-4 f(x)= (This is in Radical:2-5x) Any help, thank you!
*Wednesday, April 6, 2016 by Anonymous*

**calculus**

Find the length and width of a rectangle with maximum area that has a perimeter of (7P) units. units (smaller value) units (larger value)
*Wednesday, April 6, 2016 by Sam*

**calculus**

a mass m is projected vertically upward with an initial velocity u. the air resistance is given as kv^2. the mass returns to point of projection with velocity v0. prove terminal velocity is given by vT=uv0/sqrt(u^2-v0^2). Hint distances travelled upwards and downwards are same...
*Wednesday, April 6, 2016 by wes*

**Calculus **

Function is y=x2 . Take three points, x=2, x=3, x=4. Approximate this function at these three points for a deviation Δx =0.1. Which of the three points does the approximation works best? Which point does it works worst?
*Wednesday, April 6, 2016 by Jack*

**Calculus**

The number of Internet host computers (computers connected directly to the Internet, for networks, bulletin boards, or online services) has been growing at the rate of f(x) = xe^(0.1x) million per year, where x is the number of years since 1990. Find the total number of ...
*Tuesday, April 5, 2016 by Wade Wilson*

**calculus**

Find the absolute extrema of the function (if any exist) on each interval. (If an answer does not exist, enter DNE.) f(x) = square root of (25 − x^2) (a) [−5, 5] minimum (x, y) = (smaller x-value) (x, y) = (larger x-value) maximum (x, y) =
*Tuesday, April 5, 2016 by Sam*

**calculus**

Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to two decimal places where appropriate.) tan θ = −square root of 3 answer in radian and please use the k integer
*Tuesday, April 5, 2016 by Sagar*

**calculus**

Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that apply.) f(x) = x^2/3 − 2, [−8, 8] 1) Yes, Rolle's Theorem can be applied. 2)No, because f is not continuous on the closed interval [a, b]. 3)No, because f ...
*Tuesday, April 5, 2016 by Sagar*

**calculus**

Use a graphing utility to graph the function and find the absolute extrema of the function on the given interval. (Round your answers to three decimal places. If an answer does not exist, enter DNE.) f(x) = x^4 − 2x^3 + x + 1, [−1,3] minima (x, y) = (smaller x-...
*Tuesday, April 5, 2016 by Sagar*

**calculus**

Find the absolute extrema of the function (if any exist) on each interval. (If an answer does not exist, enter DNE.) f(x) = square root of (25 − x^2) (a) [−5, 5] minimum (x, y) = (smaller x-value) (x, y) = (larger x-value) maximum (x, y) = (b) [−5, 0) minimum...
*Tuesday, April 5, 2016 by Sagar*

**calculus**

Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to two decimal places where appropriate.) tan θ = −square root of 3
*Tuesday, April 5, 2016 by Sagar*

**Calculus **

Linear Approximation Function is y=x2 . Take three points, x=2, x=3, x=4. Approximate this function at these three points for a deviation Δx =0.1. Which of the three points does the approximation works best? Which point does it works worst?
*Monday, April 4, 2016 by Fred*

**Maths - calculus**

equation for the hyperbola which has vertices (0;9) and asymptotes y= 18/5 x
*Sunday, April 3, 2016 by candice*

**Calculus**

how to make (x-3)^(2n)/4^(n) converge
*Saturday, April 2, 2016 by Matt*

**Calculus**

Find the exact value of cot(arcsin(12/13)) and cos(arcsin(1.7/2)) I know that cos(arcsin(x))=sin(arccos(x))=sqrt(1-x^2). I'm having more difficulty with the first one. Please help! Thank you
*Friday, April 1, 2016 by Emily*

**Brief Calculus**

Increasing and Decreasing Functions. Let f(x) = 4x^3 - 9x^2 -30x +6 A. Find all critical numbers of f(x) B. Give the open intervals where f (x) is increasing and decreasing and clearly label each.
*Friday, April 1, 2016 by Jeremy*

**Calculus**

How do I tell the difference between a non conic function and a conic function by looking at an equation?
*Thursday, March 31, 2016 by Emily*

**College Algebra/pre-calculus**

The Pointless Pencil Company purchases a new stamping machine for the production line that cost $8000. The equipment will be replaced in 10 years at which time its salvage value is expected to be $1000. Write a linear equation giving the value, y, of the machine during the ...
*Thursday, March 31, 2016 by Natalie*

**mathematics-calculus-derivatives**

. If y=cosx, find dy/d5x please show workings #thanks
*Wednesday, March 30, 2016 by P1*

**mathematics-calculus-derivatives**

. Try this. If y=cosx find dy/d5x please show workings #thanks
*Wednesday, March 30, 2016 by P1*

**Calculus**

How do you find the derivative of sqrt(x+sqrt(x+sqrt(x+.......)))?
*Tuesday, March 29, 2016 by Andre*

**Calculus**

Use the function f to solve the following: a) Local minima, local maxima, and stationary points if any. Show work. b)Intervals of upward concavity and downward concavity if any. Show work. c) Inflection points if any. Show work. f(x)=2x+1/x-2 Please, don't do steps for ...
*Tuesday, March 29, 2016 by Alice*

**Calculus**

find the area between x=tan^2y and x=-tan^2y in -pi/4<y<pi/4. I'm not sure how I can change the equations back to y=f(X) to graph. But it shouldn't really matter right? Do I do horizontal or vertical slicing? I feel like I should do horizontal since that's ...
*Monday, March 28, 2016 by Bethany*

**Calculus**

Determine whether the hypotheses of the Intermediate-Value Theorem are satisfied. f(x)=x^1/3 , [a,b]=[-1,1] Please, explain. Thank you.
*Monday, March 28, 2016 by Alice*

**Calculus Urgent**

graph y=cos(pi*x/2) and y=1-x^2 and use integration to find the area in between the curve. Okay, so when I graph these two I see that they like overlap during the [-1,1] x interval. But maybe there is still a small gap in between? But I'm not sure if the [-1,1] x interval ...
*Sunday, March 27, 2016 by Bethany*

**Calculus**

Let f(x) be defined by f(x) = x/(x - 4). What is the image of f?
*Sunday, March 27, 2016 by Dan*

**Calculus**

The function f(x) = x^3 + x an inverse. Compute f^-1(0) and f^-1(2). Hint: Do not try to evaluate f^-1 explicitly.
*Sunday, March 27, 2016 by Dan*

**Calculus**

An artifact was found with 63.8% of Carbon 14, how old is the mummy, assuming the half-life of Carbon 14 is 5730 years.
*Sunday, March 27, 2016 by Homework Help*

**calculus**

Find the absolute extrema of the function on the closed interval. y = 1 − |t − 1|, [−9, 6]
*Sunday, March 27, 2016 by Sagar*

**calculus**

Find the acceleration of the specified object. (Hint: Recall that if a variable is changing at a constant rate, its acceleration is zero.) A boat is pulled into a dock by means of a winch 8 feet above the deck of the boat (see figure). The winch pulls in rope at a rate of 5 ...
*Sunday, March 27, 2016 by Sagar*

**Pre Calculus**

The revenue and cost equations for a product are R=x (50-0.002x) and C= 12x+ 150000. Where R and C are measured in dollars and x represents the number of units sold. How many units must be sold to get a profit of at least 1,650,000
*Saturday, March 26, 2016 by Destiney*

**Calculus**

A smokestack deposits soot on the ground with a concentration inversely proportional to the square of the distance from the stack. With two smokestacks d miles apart, the concentration of the combined deposits on the line joining them, at a distance x from one stack, is given ...
*Saturday, March 26, 2016 by Leanna*

**Calculus **

Suppose you are in a room that is a*10 meters. You can walk normally along the "a" meter long wall at "s" meters per second and crab walk in any direction at 1 meter per second. You start at one corner of the room, walk normally along the wall of length &...
*Friday, March 25, 2016 by Sarah*

**Calculus**

Suppose x; y, and z are positive numbers that sum to 10. What is the largest possible value of xy + xz + yz? (a) First, suppose that z is a fixed parameter. Then we have to find nonnegative numbers x and y (depending on the fixed value z such that x+y = 10-z), such ...
*Friday, March 25, 2016 by Sarah*

**Calculus Applied Integrals**

A cylindrical tank of 22.1m high with radius 12.2m is filled to 10m high with water. How much work must be done to pump all the water out of the tank? (density of water is 1000\ kg/m^3) I used similar triangles somewhere in my calculations to find the answer, but I'm not ...
*Thursday, March 24, 2016 by Isabella*

**Calculus**

A fence must be built in a large field to enclose a rectangular area of 25,600m^2. One side of the area is bounded by n existing fence, so no fence is needed for that side. Materials for the fence cost $3 per meter for the two ends and $1.50 per meter for the side opposite of ...
*Thursday, March 24, 2016 by Dante*

**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*