Saturday

April 30, 2016
**Calculus**

A stone is thrown straight up 6 feet from the ground (it is released 18 feet above the ground). When it is released it is travelling at the rate of 100 feet per second. a) Find the velocity function. b) Find the position function. c) How high does the stone go? d) How long ...
*Thursday, February 4, 2016 by Lois*

**Calculus PLEASE HELP! PLEASE PLEASE PLEASE**

A long, straight wire of length 2L on the y-axis carries a current I. According to the Biot-Savart Law, the magnitude of the magnetic field due to the current at a point (a,0) is given by B(a)= (mu sub 0 multiply by I) divided by 4pi times the integral from -L to L of (Sine ...
*Thursday, February 4, 2016 by Sathira*

**Calculus**

A 10-foot section of gutter is made from a 12-inch-wide strip of sheet metal by folding up 4-inch strips on each side so that they make the same angle with the bottom of the gutter. Determine the depth of the gutter that has the greatest carrying capacity.
*Thursday, February 4, 2016 by Anonymous*

**Calculus**

A 10-foot section of gutter is made from a 12-inch-wide strip of sheet metal by folding up 4-inch strips on each side so that they make the same angle with the bottom of the gutter. Determine the depth of the gutter that has the greatest carrying capacity.
*Thursday, February 4, 2016 by Anonymous*

**Calculus**

Consider the following depiction of a tank with radius r = 9 meters with a spout of height h = 4.5 meters. A tank is half full of oil that has a density of 900 kg/m3. Find the work W required to pump the oil out of the spout. (Use 9.8 m/s2 for g and 3.14 for π. Round your...
*Wednesday, February 3, 2016 by Kaitlyn*

**Calculus**

During the initial stage of launching a spacecraft vertically, the acceleration a(in m/s^2) is a=6t^2. Find the velocity in the spacecraft after 6 seconds.
*Wednesday, February 3, 2016 by Anonymous*

**Calculus**

s(t) = t^2 - 6t + 5 models the motion of a person cycling along Rte 66 where s(t) is the number of miles north of Los Angeles the person is at time t hours. 1) Write functions for the cyclist's velocity and acceleration at any time t. 2) Find the position and velocity of ...
*Wednesday, February 3, 2016 by Tulu*

**calculus 1**

lim x---> 2 4x+1/3x-4 illustrate definition 2 by finding values of delta that correspond to epsilon=0.5 and epsilon= 0.1 I having trouble setting this up. do i set up two different functions then divide? 0.2898 thats the answer i got....
*Wednesday, February 3, 2016 by feather*

**Calculus**

s(t) = t^2 - 6t + 5 models the motion of a person cycling along Rte 66 where s(t) is the number of miles north of Los Angeles the person is at time t hours. 1) Write functions for the cyclist's velocity and acceleration at any time t. 2) Find the position and velocity of ...
*Wednesday, February 3, 2016 by Tulu*

**Calculus**

Find the area bounded by the indicated curves. y=x^2, y=0, x=2
*Wednesday, February 3, 2016 by Anonymous*

**Math (calculus ) **

A company buys an office machine for $5200 on January 1 of a given year. the machine is expected to last for eight years at the end of which time its trade in value or salvage value will be 1100$. if the company figures the decline in value to be the same each year than the ...
*Tuesday, February 2, 2016 by Jenna*

**Calculus(PLZ HELP)**

A serving bowl has an inside diameter of 12 inches and a depth of 4 inches. The bowl is fashioned from part of a sphere. Find the capacity (volume) of the bowl.
*Tuesday, February 2, 2016 by Jack*

**Calculus**

1. Prove that (f(x+h)-f(x-h))/2=f'(x) 2. Prove that any parabola sastifies the equation (f(x+h)-f(x-h))/2=f'(x) For the first question, I tried to solve it but there is an extra h tacked on to one side. I have no clue what to do for the second question.
*Monday, February 1, 2016 by Andre*

**Calculus**

If f(x)=x^4, compute f(-2) and f'(-2) f(-2)=___ <--- ?
*Sunday, January 31, 2016 by Dominick*

**calculus**

a closed rectangular box whose base is twice as long as it is wide has a volume of 36000 cm^3.the material for the top cost 10 centavo per sq cm,that for the sides and bottom cost 5 centavos per sq cm.find the dimensions that will make the cost of making the box a minimum
*Sunday, January 31, 2016 by emil*

**Calculus and Vectors**

Afarmer requires two rectangular corrals with a combined area of 200m^2. The cost of the fencing facing the road is $25/m while the sides cost $20/m. The back side of the corrals will be against the side of the barn, which is 40m long. what is the minimum cost?
*Sunday, January 31, 2016 by Matthew Slaney*

**Calculus and Vectors**

The volume of a large soup can is 1L. The cost of the top is $0.002/cm^2 while the sides and bottom cost $0.001/cm^2.Find the minimum cost to pruduce the can given that the radius must be between 5cm and 10cm for shipping purposes.
*Sunday, January 31, 2016 by Matthew Slaney*

**Calculus and Vectors**

A farmer has 54 m of fencing with which to build two rectangular animal pens with a common side. If the area of the pens if to be maximized, what are their dimensions?
*Sunday, January 31, 2016 by Matthew Slaney*

**Calculus and Vectors**

you want to make a box out of a piece of tin 20cm by 20cm by cutting the squares out of the corners and folding them up the sides. If the box is to have a maximum volume, what are their dimensions?
*Sunday, January 31, 2016 by Matthew Slaney*

**Calculus Plz Help**

If f(x)=x^4, compute f(-2) and f'(-2) f(-2)=___ <--- ?
*Sunday, January 31, 2016 by Dominick*

**Calculus**

Does anyone know how to solve, ln((3x-2)/(x-1))<0
*Sunday, January 31, 2016 by Em*

**calculus**

The demand for your hand-made skateboards, in weekly sales, is q = −4p + 600 if the selling price is $p. You are prepared to supply q = 6p − 400 per week at the price $p. What price should you sell your skateboards for so that there is neither a shortage nor a ...
*Saturday, January 30, 2016 by jay*

**Calculus**

Find for dy/dx 4 – xy = y^3.
*Friday, January 29, 2016 by Mel*

**Calculus**

Could someone help with this limit problem? lim x-->1 of ((sqrt(6-x))-2)/((sqrt(10-x)-3)) I tried to rationalize the denominator and numerator but it didn't work!
*Friday, January 29, 2016 by Em*

**Pre-calculus**

Hooke's Law states that the distance a spring will stretch beyond its natural length varies directly with the force applied to the spring. A force of 12 pounds is needed to stretch a certain spring 9 inches beyond its natural length. Find a formula that models the length a...
*Thursday, January 28, 2016 by Sami*

**Calculus**

Find the slope of the curve y=x^4 at x=4 The slope of the curve at x=4 is ___.
*Thursday, January 28, 2016 by Dominick*

**Calculus**

Could someone help with this limit problem? lim x-->1 of ((sqrt(6-x))-2)/((sqrt(10-x)-3)) I tried to rationalize the denominator and numerator but it didn't work!
*Thursday, January 28, 2016 by Em*

**Calculus**

Just wondering if anyone can help with this ln question! -Solve the following ln(x+1)+ln(x-1)=2 thanks!!
*Thursday, January 28, 2016 by Sophie*

**Calculus**

I don't know how to go about this question. The number of elephants in a park is estimated to be p(t)=7500/(1+749e^-0.15t) Where t is the time in years and t=0 corresponds to the year 1930. Find the inverse p(t) and the interpretation of that.
*Thursday, January 28, 2016 by Lilly*

**Calculus**

I don't know how to go about this question. The number of elephants in a park is estimated to be p(t)=7500/(1+749e^-0.15t) Where t is the time in years and t=0 corresponds to the year 1930. Find the inverse p(t) and the interpretation of that.
*Thursday, January 28, 2016 by Lilly*

**calculus**

Drug concentration is defined by; c(t)= 0.2t÷t^2+1 mg/cm^3...when is the concentration increasing/ decreasing (between 0 and 4hours)?
*Wednesday, January 27, 2016 by cayla*

**calculus 2**

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = x, y = 0, x = 2, x = 6; about x = 1
*Wednesday, January 27, 2016 by TayB*

**calculus 2**

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 3 sin x, y = 3 cos x, 0 ≤ x ≤ π/4; about y = −1
*Wednesday, January 27, 2016 by TayB*

**calculus 2**

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 3x^4, y = 3x, x ≥ 0; about the x-axis
*Wednesday, January 27, 2016 by TayB*

**Calculus**

Find the implicit differentiation for each. 1) x^2 = (x-y) / (x+y) 2) (x+y)^3 + (x-y)^3 = x^4 + y^4
*Tuesday, January 26, 2016 by Maia*

**Calculus**

A cylindrical jar of radius 5 cm contains water to a depth of 8 cm. the water from jar is poured at a constant rate into a hemispherical bowl. After t seconds, the depth of the water in the bowl is x cm and the volume, V of water is given as 1/3πh^2(18-h). Given that all ...
*Tuesday, January 26, 2016 by RK*

**Calculus**

Implicit Differentiation: Find dy/dx for each. Leave answers in terms of both x and y. 1) 1/y + 1/x = 1 + y^2 2) -(x^2 / y^2)
*Monday, January 25, 2016 by Yani*

**Pre-Calculus**

The question is "Find parametric equations for the line with the given properties: Slope -2, passing through (-10, -20)." I don't even know where to begin, or what to do. Please help! This is an example problem, not the main homework problem, I just need to know ...
*Monday, January 25, 2016 by James *

**calculus 2**

Find the area of the region bounded by the parabola y = 5x^2, the tangent line to this parabola at (3, 45), and the x-axis.
*Monday, January 25, 2016 by TayB*

**calculus 2**

Sketch the region enclosed by the given curves. Find its area. y=7cos pi x, y=12x^2-3
*Monday, January 25, 2016 by TayB*

**Pre-Calculus**

Two cities are due north of each other. One city has a latitude of 32¢ª45'12" and the second city has a latitude of 51¢ª12'45". Assuming that the earth is a sphere with a radius of 4000 miles, how far apart are the two cities?
*Sunday, January 24, 2016 by Rhodora*

**Calculus**

Please help me find the limit: lim x--> 2 ((1/3)-1/sqrt(x))/)x-9)
*Sunday, January 24, 2016 by Sally*

**Calculus**

What is the first derivative of the following function: f(x) = a^(-bx)? (I am lost with this question)
*Sunday, January 24, 2016 by Leo*

**Pre-Algebra Calculus**

NEED HELP PLEASE Mixture Problems 1.Joe created a metal containing 40% platinum by combining two other metals. One of these other metals weighed 12 lb. and contained 45% platinum. If the other weighed 3 lb. then what percent of it was platinum? 2. 12 gal. of a saline solution ...
*Saturday, January 23, 2016 by michele*

**Calculus**

Suppose that 5 J of work is needed to stretch a spring from its natural length of 28 cm to a length of 36 cm. (a) How much work is needed to stretch the spring from 32 cm to 34 cm? (Round your answer to two decimal places.) (b) How far beyond its natural length will a force of...
*Saturday, January 23, 2016 by Kaitlyn*

**calculus 2**

Use a graph to find approximate x-coordinates of the points of intersection of the given curves. Then find (approximately) the area of the region bounded by the curves. (Round your answer to two decimal places.) y = 8x^2− 3x, y = x^3−8x+ 2
*Friday, January 22, 2016 by TayB*

**calculus 2**

The birth rate of a population is b(t) = 2000e^0.022t people per year and the death rate is d(t)= 1460e^0.017t people per year, find the area between these curves for 0 ≤ t ≤ 10. (Round your answer to the nearest integer.)
*Friday, January 22, 2016 by TayB*

**calculus 2**

Find the area of the region bounded by the parabola y = 3x^2, the tangent line to this parabola at (1, 3), and the x-axis.
*Friday, January 22, 2016 by TayB*

**Calculus**

Which of the following integrals correctly computes the volume formed when the region bounded by the curves x^2 + y^2 = 100, x = 6, and y = 0 is rotated around the y-axis? I've narrowed it down to either pi∫(sqrt(100-y^2)-6)^2 dy or pi∫(sqrt(100-y^2)^2-6^2) dy ...
*Friday, January 22, 2016 by John*

**Calculus**

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. I'm supposed to use this equation right? piR^2-x^r^2. and then change y=x^2 to x=sqrty. Thats all I got.
*Friday, January 22, 2016 by John*

**Calculus**

Find the number a such that the line x = a divides the region bounded by the curves x = y^2 − 1 and the y-axis into 2 regions with equal area. Give your answer correct to 3 decimal places.
*Friday, January 22, 2016 by John*

**pre calculus**

The diameter of the wheels on your car (including the tires) is 25 inches. You are going to drive 218 miles today. Each of your wheels is going to turn by an angle of how many degrees? Hint: A mile has 5280 feet, a foot has 12 inches, and the circumference of a circle with a ...
*Thursday, January 21, 2016 by Dunni*

**pre calculus**

You are building a (rectangular) pool in your backyard. It measures 30m in the north-south direction and 25 meters east-west. (Some pool!) The bottom of the pool is a slanted plane so that it's 1m deep along the southern edge and 10m deep along the northern edge. (As I ...
*Thursday, January 21, 2016 by Dunni*

**Calculus**

Hello, could somebody please help me out with the following question? I would greatly appreciate some assistance. Find all values of x in the interval [0, 2π] that satisfy the equation 3|tanx(x)|=3
*Thursday, January 21, 2016 by Constantine*

**Calculus**

Let f(t)=(1)/(t) Find a value of t such that the average rate of change of f(t) from 1 to t equals 14. t= ____
*Thursday, January 21, 2016 by Kendra*

**Calculus**

Find all values of x in the interval [0, 2π] that satisfy the equation. (Enter your answers as a comma-separated list.) 18 + 9 cos(2x) = 27 cos(x)
*Wednesday, January 20, 2016 by Riwo*

**Pre-calculus**

A rectangular package to be sent by a delivery service can have a maximum combined length (y) and girth (perimeter of its cross section) of 300 inches. Assume that the width and height are the same (x). Find the equation for the volume of the box in terms of x alone as an ...
*Wednesday, January 20, 2016 by Anonymous*

**Pre-calculus**

A rectangular package to be sent by a delivery service can have a maximum combined length (y) and girth (perimeter of its cross section) of 300 inches. Assume that the width and height are the same (x). Find the equation for the volume of the box in terms of x alone as an ...
*Wednesday, January 20, 2016 by Anonymous*

**Differential Calculus**

Determine all local extrema, concavity and inflection point/s for y = -2cos(x) in (0, 2Pi). Test by both First Derivative Test and Second Derivative Test and sketch the graph.
*Wednesday, January 20, 2016 by Sel*

**Calculus**

Find the minimum distance between the curves y=e^x and y=lnx. Hint: Use the fact that e^x and lnx are inverse relationships. I have no idea where to start. Thanks! calculus - Reiny, Monday, January 18, 2016 at 9:02pm to get you going: let P(a , e^a) and Q(b, lnb) be the ...
*Tuesday, January 19, 2016 by Samuel for Reiny*

**Math CALCULUS HELP PLEASE**

Tidal volume is the volume of air displaced in the lungs between inhalation and exhalation (the amount of air in a breath). The residual volume is given by the amount remaining in the lungs even after the deepest exhalation (i.e. the minimum amount of air remaining in the ...
*Tuesday, January 19, 2016 by Brad*

**Calculus**

The table below shows some values of a linear function f and an exponential function g. Fill in exact values for each of the missing entries. X 0 1 2 3 4 f(x) 25 375 g(x) 25 375
*Tuesday, January 19, 2016 by Leanna*

**Calculus**

Suppose that f(t)=Qoa^1=Qo(1+r)^t with f(4)=72.2 and f(10)=176.7. Find what a is and what r is.
*Tuesday, January 19, 2016 by Leanna*

**Calculus**

Use the identity sin^2x+cos^2x=1 and the fact that sin^2x and cos^2x are mirror images in [0,pi/2], evaluate the integral from (0-pi/2) of sin^2xdx. I know how to calculate the integral using another trig identity, but I'm confused about how to solve this one.
*Tuesday, January 19, 2016 by Rostrastics*

**Calculus**

Evaluate using substitution ∫(2x^5+6x)^3(5x^4+3)dx where b=0 and a=-1 I got to here and then got stuck u=5x^4+3 du=x^5+3x+C ∫(2x^5+6x)^3 u 1/(x^5+3x+C) ∫(x^5+3x)^3 u
*Tuesday, January 19, 2016 by John*

**Calculus**

Find the interval on which the curve of ∫ 6/(1+2t+t^2) where b=0 and a=x is concave up. Heres my work but im not sure at all g '(x) = 6/(1+2x+x^2) g ''(x) = -(2+2x)/[(1+2x+x^2)^2] upward when g ''(x) > 0. - (2+2x) > 0 x < -1
*Tuesday, January 19, 2016 by John*

**Calculus**

Graph the curve. Find the exact length of the curve. x = 2et cos(t), y = 2et sin(t), 0 ≤ t ≤ π
*Tuesday, January 19, 2016 by Kaitlyn*

**prepositional calculus **

Convert the following formula to conjunctive normal form (clause form). a) a ≡ (b ≡ c) is the answer (a כ(( b כ c) ^ (c כ b))) ^ ((( b כ c) ^ (c כ b)) כ a) unsure thanks
*Monday, January 18, 2016 by melvin *

**calculus**

Find the minimum distance between the curves y=e^x and y=lnx. Hint: Use the fact that e^x and lnx are inverse relationships. I have no idea where to start. Thanks!
*Monday, January 18, 2016 by Samuel*

**Calculus**

Use the identity sin^2x+cos^2x=1 and the fact that sin^2x and cos^2x are mirror images in [0,pi/2], evaluate the integral from (0-pi/2) of sin^2xdx. I know how to calculate the integral using another trig identity, but I'm confused about how to solve this one.
*Monday, January 18, 2016 by Andre*

**Calculus**

Describe the Domain of the Function: F(x)= 2x/(x-2)(x-1) The domain of the function consists of all real numbers x except ____?
*Monday, January 18, 2016 by Dominick*

**Math-Calculus**

a spring has a natural length of 20meters. a) find the work required to stretch the spring from 20m to 30m b) from 30m to 40m c) how is the work from part a and part b related?
*Monday, January 18, 2016 by zaxoanl*

**Calculus/ Application Of Derivative**

If a fluid enters a hemisperical vat with a radius of 10 meter, at a rate of 0.5cubic meter per minute, how fast will the fluid be rising when the depth is 5 meter
*Sunday, January 17, 2016 by Anonymous*

**Calculus**

Consider the following function. f(x) = (2 − x)^(e^−x) (a) Find the intervals of increase or decrease. (b) Find the intervals of concavity. (c) Find the point of inflection. (x, y) =
*Sunday, January 17, 2016 by Fisher*

**Calculus,Stationary Points,First derivative test**

Good afternoon, I need a bit of help. So ive got my first derivative which is 6x^2-6x-12 and the stationary points ive found are x=-1 and x=2 at which points the value of the derivative is zero. So im attempting to classify the points. From my derivative tests the value of -2 ...
*Sunday, January 17, 2016 by Mat*

**Calculus**

(3) Suppose that f : R2 → R is a continuous function at x0 ∈ R2 and that |f(x0)| > 2. Show that there is a $ > 0 such that |f(x)| > 2 whenever ||x − x0|| < $.
*Sunday, January 17, 2016 by Alice*

**Calculus**

Examine the continuity of f : R2 → R at (0; 0), where for all (x; y) ∈ R2, 1.)f(x; y) := {xy cos(1/x) if x ̸= 0; 0 if x = 0:} 2.)f(x; y) := {1 if x > 0 & 0 < y < x2; 0 otherwise:}
*Sunday, January 17, 2016 by Elina*

**Calculus**

How do I solve e^(ax) = Ce^(bx), when a does not equal b? I know the answer has something to do with natural log, and that a has to be connected to b and c, but I don't know what.
*Saturday, January 16, 2016 by Chunky*

**calculus 1**

The point P(2,-1) lies on the curve y=1/(1-x) If Q is the point (x, 1/(1-x) find slope of secant line. these are the points 2, -1 1.5,2 1.9,1.111111 1.99,1.010101 1.999,001001 2.5,0.666667 2.1,0.909091 2.01,0.990099 2.001,0.999001 using the results from the points guess the ...
*Saturday, January 16, 2016 by feather*

**Calculus**

1. Use the Mean Value Theorem to find an x-value where the instantaneous slope=average slope over the given interval: f(x)=(9-x^2)^(1/2) on [-3,2] I have done three chapters of Calculus already and I never have had to check for extraneous roots. So, my question is, when ...
*Saturday, January 16, 2016 by Isabella*

**pre-calculus **

y=tanx -2π≤x≤2π y=cotx -2π≤x≤2π y=cscx -2π≤x≤2π y=secx -2π≤x≤2π
*Friday, January 15, 2016 by Reina Bonilla *

**Calculus plz help!!!**

Integrate:Root(1+root(x))/x
*Friday, January 15, 2016 by Daniel*

**Calculus help**

Y=|X^2+3x-4| find dy/dx?
*Friday, January 15, 2016 by Emmanuel*

**calculus 1**

The point P(2,-1) lies on the curve y=1/(1-x) If Q is the point (x, 1/(1-x) find slope of secant line. these are the points 1.5 1.9 1.99 1.999 2.5 2.1 2.01 2.01 2.001 when i calculated it i got a negative number 1/(1-1.5)=-2 but the answer is 2. also would the points be (1.5, ...
*Thursday, January 14, 2016 by feather*

**Calculus AB**

The radius of a 12 inch right circular cylinder is measured to be 4 inches, but with a possible error of ±0.2 inch. What is the resulting possible error in the volume of the cylinder? Include units in your answer. r = 4 in. h = 12 in. V = pi*r^2 * h = 3.14*4^2 * 12 = ...
*Thursday, January 14, 2016 by Vik*

**Calculus AB**

Use the table below to evaluate d/dx [f[g(2x)]] at x = 1 x 1 2 3 4 f(x) 6 1 8 2 f '(x) 6 1 8 2 g(x) 1 4 4 3 g '(x) 9 5 5 -4 I don't know how to continue with this question. i know [g(2x)]=8...pretty sure
*Wednesday, January 13, 2016 by Vik*

**Calculus**

Integrate 1/sinx dx using the identity sinx=2(sin(x/2)cos(x/2)). I rewrote the integral to 1/2 ∫ 1/(sin(x/2)cos(x/2))dx, but I don't know how to continue. Thanks for the help. Calculus - Steve, Tuesday, January 12, 2016 at 12:45am 1/2 ∫ 1/(sin(x/2)cos(x/2))dx ...
*Tuesday, January 12, 2016 by Andre-Steve, please reply*

**Math (Calculus - Limits)**

Find the constant c so that lim x->8 x^2+2x+c/x^2-15x+56 exists. For that value of c, determine the limit. (Hint: Find the value of c for which x-8 is a factor of the numerator). I understand that I should set (x-8)(x+b) equal to x^2+2x+c but all the variables are getting ...
*Tuesday, January 12, 2016 by Charlotte*

**calculus**

It is estimated that t years from now, the value of a small piece of land, V(t), will be increasing at a rate of 1.6t^3/(0.2t^4+8100)^(1/2)dollars per year. The land is currently worth $420. Find V(t) and also find the value of the land after 10 years to the nearest cent.
*Tuesday, January 12, 2016 by beth*

**Calculus AB**

If f(x) = |(x^2 - 6)(x^2 + 2)|, how many numbers in the interval 1 ≤ x ≤ 2 satisfy the conclusion of the mean value theorem? None One Two Three Not sure where to start. Like my previous question, I don't have a book or help from my teacher.
*Tuesday, January 12, 2016 by Vikram*

**Calculus AB**

If f(x) is differentiable for the closed interval [-3, 2] such that f(-3) = 4 and f(2) = 4, then there exists a value c, -3 < c < 2 such that f(c) = 0 f '(c) = 0 f (c) = 5 f '(c) = 5 Not really sure where to start here. No textbook and my teacher never explained it
*Tuesday, January 12, 2016 by Vikram*

**Calculus**

What airspeed and direction should an airplane maintain in order to continue having a ground speed of 800 km/h and a direction of 140° with wind at 130 km/h at 27°?
*Tuesday, January 12, 2016 by Geoff*

**Calculus help!!!**

X^2y+sinxy=e^xy i need solution plz
*Tuesday, January 12, 2016 by Daniel*

**Calculus**

A manufacturer of a certain brand of appliance estimates that he can sell 5000 units a year at Php 900.00 each and that he can sell 1500 units more per year for each Php 100.00 decrease in price? What price per unit will give the greatest returns?
*Tuesday, January 12, 2016 by En*

**Calculus**

Since f(x)=√(x-3) has an absolute minimum of 0 does its critical point exist? I'm really confused because someone mentioned that f(x)=√(x+3) does not have a critical point. Does that mean that if there is an end point there, there can't be a critical point?
*Tuesday, January 12, 2016 by Isabella*

**calculus**

Suppose f is a function of x. 1) find d/dx f^2 2)use the result to find the integral ∫ lnx/xdx. I did 1), and I got 2fdf, but im confused about number 2.
*Monday, January 11, 2016 by Jacob*

**Calculus**

Find all points on the graph of the function f(x) = 2 cos(x) + (cos(x))2 at which the tangent line is horizontal. Consider the domain x = [0,2π). I have pi/2 and 3pi/2 for x values. But when I plug them I get zero. Is this correct as y values or am I solving it wrong? I ...
*Monday, January 11, 2016 by Calculus*

**Calculus**

Integrate 1/sinx dx using the identity sinx=2(sin(x/2)cos(x/2)). I rewrote the integral to 1/2 ∫ 1/(sin(x/2)cos(x/2))dx, but I don't know how to continue. Thanks for the help.
*Monday, January 11, 2016 by Andre*

**Calculus AB**

Find the x-coordinates of any relative extrema and inflection point(s) for the function f(x) = 3x(1/3) + 6x(4/3). You must justify your answer using an analysis of f '(x) and f "(x). My start to a solution: x-values: (-1/8) and (-1/4) I got -1/8 from f'(x)- ...
*Monday, January 11, 2016 by Vikram*

**Calculus AB**

What is the maximum volume in cubic inches of an open box to be made from a 16-inch by 30-inch piece of cardboard by cutting out squares of equal sides from the four corners and bending up the sides? Your work must include a statement of the function and its derivative. Give ...
*Monday, January 11, 2016 by Vikram*