Sunday

February 14, 2016
Number of results: 47,208

**calculus**

My problem is that a stft above the sidewalk. a man 6ft tall walks away from the light at the rate of 3ft/sec. at what rate is his tip of shadow moving
*July 26, 2011 by Abdul Muqsit*

**calculus**

You are letting the air out of a hot air balloon at a steady rate. The volume of the balloon is decreasing at the rate of 10pi m^3/min when the diameter is 45 meters. At what rate is the radius of the balloon changing? I need help! How do I solve this problem? Thank you so ...
*November 18, 2007 by Anonymous*

**Calculus**

Related Rates Problem An isosceles triangle with a base of 20root3 cm long. If the length of the leg decreases at rate 3 cm/h, find the rate of decreasing of the area of the triangle in the instant at which the triange becomes equilateral.
*May 4, 2013 by Mostafa*

**Timerate problem(calculus)**

Sand is being dropped at the rate 10 metercube/min onto a conical pile. If the height of the pile is always twice the base radius, at what rate is the increasing when the pile is 8 m high?
*October 6, 2014 by Mike*

**Calculus**

What is the simplest solution to the Brachistochrone problem and the Tautochrone problem involving calculus? (I know that the cycloid is the solution but I need a simple calculus proof as to why this is the case)
*May 27, 2010 by Sam*

**related rates calculus problem**

A balloon is being filled with air at a rate of 3 cubic meters per minute. Find the rate at which the radius is changing when the volume is 113.0973355 cubic meters.
*December 30, 2010 by elizabeth*

**related rates problem-calculus**

A spherical balloon is being filled with air in such a way that its radius is increasing at a rate of 2 centimeters per second. At what rate is the volume of the balloon changing at the instant when its surface has an area of 4 pi square centimeters?
*December 30, 2010 by james*

**calculus-rate problem**

A conical tank (with vertex down) is 10 feet acros the top and 12 feet deep. If water is flowing into the tank at a rate of 10 cubic feet per minute, find the rate of change of the depth of the water when the water is 8 feet deep.
*August 30, 2007 by beth*

**Word Problem-Calculus**

A spherical balloon is being inflated in such a way that its radius increases at a rate of 3 cm/min. If the volume of the balloon is 0 at time 0, at what rate is the volume increasing after 5 minutes? my answer is 45 cm/min. is this right. thanks
*March 14, 2013 by Mark*

**CALCULUS **

A plane, flying horizontally at an altitude of 1 km and a speed of 500 km/hr, passes directly over a radar station. find the rate in km/hr at which the distance from the plane to the station is changing when it is 2 km away from the radar station. Hint: this is not a max/min ...
*April 24, 2014 by TANYA*

**Calculus**

At the moment OHaganBooks is selling 1000 books per week and its sales are rising at a rate of 200 books per week. Also, it is now selling all its books for $20 each, but the price is dropping at a rate of $1 per week. I need to know at what rate OHaganBooks' revenue is rising...
*November 24, 2007 by Julie*

**Calculus**

At the moment OHaganBooks is selling 1000 books per week and its sales are rising at a rate of 200 books per week. Also, it is now selling all its books for $20 each, but the price is dropping at a rate of $1 per week. I need to know at what rate OHaganBooks' revenue is rising...
*November 25, 2007 by Destinee*

**calculus**

There is a right triangle with x and y legs labeled B and A, respectively. B is increasing at a rate of 1 m/s and A is decreasing at a rate of 2 m/s. At what rate is the angle theta (located on the leg B) changing when A is 10m and B is 20m?
*December 15, 2010 by Nimra*

**Calculus**

Sand is being dumped from a conveyor belt at a rate of 20 cubic ft/min into a pile the shape of an inverted come whose diameter and height are always the same. (a) Find the rate of increase of the height when the pile is 10ft high. This is a 2 part problem. Please show me how ...
*November 28, 2011 by Nathaniel*

**Calculus**

How would you solve this problem: An airplane is flying in still air with an airspeed of 240 mph. If it is climbing at an angle of 22 degrees, find the rate at which it is gaining altitude.
*November 17, 2010 by Anonymous*

**Calculus**

Hi there I am having some troubles trying to do my calculus homework and I really need help trying to do this problem from my homework: Set up the problem and do not solve: The mass of the solid bounded by the surfaces 2x^2 + 2y^2= 9, z=0, z=3 with density function p(x,y)= x^...
*December 3, 2009 by shylo*

**Calculus**

At the moment OHaganBooks is selling 1000 books per week and its sales are rising at a rate of 200 books per week. Also, it is now selling all its books for $20 each, but the price is dropping at a rate of $1 per week. I need to know at what rate OHaganBooks' revenue is rising...
*November 25, 2007 by PLEASE HELP! PR*

**organic chemistry**

Hi, I was wondering if somebody could help me out with this problem which says: "Why does changing the base have no effect on the rate of an E1 reaction while it does affect the rate of an E2 reaction?" I would appreciate any help I can get on this problem! Sincerely, Manny
*November 10, 2007 by manny*

**Calculus I**

A spherical balloon is inflated at a rate of 10 cm^3/min. How fast does the radius change when the radius is 20 cm? Need help with set up and work through of problem.
*March 2, 2015 by Mike*

**CALCULUS**

A 25 ft ladder is leaning against a vertical wall. At what rate (with respect to time) is the angle theta between the ground and the ladder changing, if the top of the ladder is sliding down the wall at the rate of r inches per second, at the moment that the top of the ladder ...
*March 29, 2012 by Anonymous*

**calculus**

the management of a company has decided that the level of its investment should not exceed C dollars. Furthermore, managament has decided that the rate of net investment (the rate of change of the total capital invested) should be proportional to the difference between C and ...
*April 10, 2012 by mari *

**Calculus**

Calculus If V volts are measured across a resistance of R ohms in a circuit carrying a current of I amperes, V=IR. At a certain instant, the voltage is 250 and is increasing at a rate of 4 volts/min, while the current is 0.5 AMP and is increasing at a rate of 0.01 amp/min. ...
*February 28, 2013 by Trevor*

**Calculus**

A certain calculus student hit Mrs. Evans in the head with a snowball. If the snowball is melting at the rate of 10 cubic feet per minute, at what rate is the radius of the snowball changing when the snowball is 1 foot in radius?
*November 6, 2011 by Rina*

**related rates with work shown**

this is a relate rates problem in calculus in a right triangle, the hypotenuse is 5 and the vertical side is x and the angle is theta. so if theta increases at a constant rate of 3 radians per minute, at what rate is x increasing in units per minute when x equals 3 units? d(...
*April 15, 2007 by Anonymous*

**mathematics**

need help badly. this is the math problem. is the rate three-forth's cup of butter/ 3 eggs equivalent to the rate of 3 cups of butter/12 eggs? Please show the work so I can study this equation for my next problem. thanks kindly
*August 29, 2010 by cindy*

**calculus**

I have the following problem on a takehome assignment and am stuck. A particular stock has value V(t) at time t where V(t)=Ke^(1/2) where K>0. Assume that alternative investments grow in value to e^(rt). Calculate the instantaneous rate of change in the value of the stock. ...
*March 16, 2008 by Rey*

**MATH**

Rate Problem: Mr. Stewart rode a distance of 12miles out into the country on a bicycle and returned on foot. His rate on the bicycle was 4 times his rate on foot. He spent 5 hours on the entire trip. Find the rate of walking and on the bicycle.
*October 23, 2007 by Michi*

**calculus**

Can someone tell me how to do this type of problem? A particle moves along the curve y=sqrt(1+x^3). As it reaches the point (2,3) the y coorindate is increasing at a rate os 4cm/s. How fast is the x coordinate of the point changing at that instant?
*February 21, 2011 by Susie*

**Please Help!!!!!!**

Decide whether the following problem can be solved using precalculus, or whether calculus is required. If the problem can be solved using precalculus, solve it. If the problem seems to require calculus, explain your reasoning and use a graphical or numerical approach to ...
*January 9, 2012 by Anonymous*

**Calculus**

(It's a related rate question) A man 6ft tall walks away from a lamp post (15ft) at 5ft/sec. How fast is his shadow lengthening? --- I have the picture, and the constants, the man and the lamp post. I have 5ft/sec as dw/dt, and I know I'm looking for ds/dt, the rate of the ...
*September 12, 2010 by Nikki*

**AP Calculus AB**

Hello! I'm having trouble with this related rates problem: A 5ft tall person is walking away from a 16ft tall lamppost at a rate of (2/x) ft/sec, where x is the distance from the person to the lamppost. Assume the scenario can be modeled with right triangles. At what rate is ...
*October 4, 2015 by Andy*

**calculus**

I need help setting up this problem: A particle moves along the curve y=sqr(1+x^3). As it reaches the point (2,3) the y-cordinate is increasing at a rate of 4cm/s. How fast is the x-coordinate of the point changing at that instant. I could only come up with this: dy/dx=4
*May 8, 2009 by XCS*

**Calculus**

A spherical balloon a has a diameter 2 m when it is 1500m high . It is observed that the diameter increases at a constant rate of 4cm/min as it continues to rise. At what rate is the volume increasing when the diameter is 4m . At what rate is the surface area imcreasing then?
*March 13, 2011 by Mehak*

**4 CALCULUS study problem**

1. How fast does the radius of a spherical soap bubble change when you blow air into it at the rate of 15 cubic centimeters per second? Our known rate is dV/dt, the change in volume with respect to time, which is 15 cubic centimeters per second. The rate we want to find is dr/...
*January 9, 2014 by Samantha*

**calculus**

Find the rate of change of the area of a circle with respect to the radius r. What is the rate when r = 12
*November 23, 2011 by billy *

**calculus**

The length l of a rectangle is decrasing at a rate of 5 cm/sec while the width w is increasing at a rate of 2 cm/sec. When l = 15 cm and w = 7 cm, find the following rates of change: The rate of change of the area: Answer = cm^2/sec. The rate of change of the perimeter: Answer...
*September 27, 2012 by Avi*

**calculus**

The Voltage v , Current I and Resistance R are related by the equation V=IR. Suppose that V is increasing at a rate of 2 volt/sec, while I is decreasing of the rate of 1/5 (amp/sec ). Let t denote time in seconds. Find the rate at which R is changing when V=40volts and 1=2 amp .
*November 7, 2014 by Maria*

**calculus**

The Voltage v , Current I and Resistance R are related by the equation V=IR. Suppose that V is increasing at a rate of 2 volt/sec, while I is decreasing of the rate of 1/5 (amp/sec ). Let t denote time in seconds. Find the rate at which R is changing when V=40volts and 1=2 amp .
*November 8, 2014 by maria*

**Math Finance**

Word problem asks to find rate of interest on a monthly deposit for a sinking fund that is needed to produce 130,000 in 20 years. I applied the model, (fv/pv)^1/t -1 I use n/t if compounding yearly, quaterly, etc. No matter what I've tried I can't produce the interest rate ...
*July 3, 2014 by Rob*

**Calculus, bobpursley! **

This has to do with my last Calculus problem. I need help on it..The part I replied to after you answered the question.
*September 21, 2010 by Leanna*

**Calculus**

A woman 5 ft tall walks at the rate of 5.5 ft/sec away from a streetlight that is 16 ft above the ground. At what rate is the tip of her shadow moving?
*October 23, 2012 by Anonymous*

**calculus**

I need help with this calculus problem. H(S)=S/(1+S) If F 1/2, -1/2 & (a+1)? I can't figure out what this mean /?
*May 30, 2011 by Tammy*

**Calculus**

for f(x)=-x^2 +1, which value is the largest magnitude? a) average rate of change from x=-1 to x=1 b) instanteneuous rate of change at x=3 c) instanteneous rate of change at x=0 average rate of change from x=-4 to x=0
*July 4, 2012 by g*

**Calculus**

Given two problems: Problem A: Tau = Integral(0 to v) v/(q^2 - v^2) dv q = constant Problem B: Tau = Integral(V TO 0) v/(q^2 - v^2) dv q = constant Why is it that, SUBSTITUTION RULE is used in problem A, and QUOTIENT RULE is used in problem B? The two problems are somewhat ...
*December 19, 2007 by Anthony*

**Algebra**

I hope that I am typing this particular problem right because this algebra problem was provided on a chart. However, I can't copy and paste the chart on here. The problem says "The given graph represents the number of active servicemen in the region who are overweight." Find ...
*February 8, 2014 by Student5*

**Calculus 1**

Related Rates Problem: Two cars start moving from the same point. One travels south at 40 mi/h and the other travels west at 30 mi/h. At what rate is the distance between the cars increasing three hours later?
*October 7, 2015 by TayB*

**chemistry**

At the instant oxygen is reacting at the rate 5.0 x 10-4 mol/L*s, at what rate is NO reacting and NO2 forming? this is a method of initial rate problem. i don't know what to do the chemical equation is 2 NO(g) + O2 (g) ---> 2 NO2 (g)
*September 8, 2007 by Chris*

**Calculus**

1. The radius of a sphere is expanding at a rate of 14 in/min. a) Determine the rate at which the volume is changing when the radius is 8 in. b) Determine the rate at which the surface area is changing when the radius is 8 in. 2. A particle moves along a path described by y=4-...
*January 18, 2015 by Anonymous*

**Calculus**

1. The radius of a sphere is expanding at a rate of 14 in/min. a) Determine the rate at which the volume is changing when the radius is 8 in. b) Determine the rate at which the surface area is changing when the radius is 8 in. 2. A particle moves along a path described by y=4-...
*January 17, 2015 by Anonymous*

**calculus**

Find the limit of this calculus problem.? (5x-3)/(ln(5+4e^(x)) x=inf
*November 4, 2010 by Zel*

**calculus**

A woman 5.5 ft tall walks at a rate of 6 ft/sec toward a streetlight that is 22 ft above the ground. At what rate is the length of her shadow changing when she is 15 ft from the base of the light?
*March 2, 2008 by Anonymous*

**Calculus**

A particle moves along the curve y = 3x2 + 1 in such a way that the y value is increasing at the rate of 3 units per second. At what rate is x changing when x = 2?
*April 25, 2015 by emma *

**Calculus I**

Sand falls from a hopper into a conical pile with radius equal to half its height. The sand is poured at a rate of 3 m^3 each minute. How fast is the radius increasing after 10 minutes? Need help with the set up and work through of the problem.
*March 2, 2015 by Mike*

**Calculus**

Determine the maximum sustainable yield (the maximum harvesting and still keep the population stable) of population of logistic growth is Kr/4. I know the logistic equation with constant harvest rate, h, is dx/dt=rx((1-x/k)-h) I do not know how to apply that to the problem...
*December 14, 2011 by L.S.*

**math word problem**

word problem need help: suppose you own a card shop. you buy one line of cards at a rate of 4 cards for $5. you plan to sell the cards at a rate of 3 cards for $5 how may carfds must you sell in order to make a profit of $100.00 i dont understand how to get answer can you help
*September 8, 2012 by marko *

**chemistry**

A first-order reaction is 40% complete at the end of 50 minutes. What is the value of the rate constant (in min^-1)? A. 1.8 x 10^-2 B. 1.0 x 10^-2 C. 1.2 x 10^-2 D. 8.0 x 10^-3 E. none of these how would i approach this problem? i know that to find the rate constant, i could ...
*May 26, 2008 by jesse may*

**math**

you have deposited 1000 dollars in your savings account with n annual interest rate of 4 percent compounded monthly. how much money are you going to have in your account after six months? [(1+ 0.04/12)]^6 x 1000 = ?? is the answer 1020.164? You got it. well theres another part...
*September 17, 2006 by john*

**Calculus**

Show that y= x + sinx-pi satisfies the initial value problem dy/dx=1 + cos x, y(pi)= 0 i don't understand how to do this problem. i don't know where to begin.
*November 18, 2008 by Dan*

**chemistry**

Which of the following rate laws suggests that the reaction probably occurs in a single step? why is this problem cant be answer a since it has order of 1 a)(CH3)3CBr + OH- →(CH3)3COH + Br- rate = k[(CH3)3CBr] b)NO(g) + O2(g) → NO2(g) + O(g) rate = k[NO][O2] c)H2O2...
*May 17, 2010 by eng*

**chemistry**

Which of the following rate laws suggests that the reaction probably occurs in a single step? why is this problem cant be answer a since it has order of 1 a)(CH3)3CBr + OH- →(CH3)3COH + Br- rate = k[(CH3)3CBr] b)NO(g) + O2(g) → NO2(g) + O(g) rate = k[NO][O2] c)H2O2...
*May 18, 2010 by eng*

**Craig - baloon - calculus moved up**

Posted by Craig on Tuesday, November 25, 2008 at 7:54pm. t: 0 2 5 7 11 12 r'(t): 5.7 4.0 2.0 1.2 0.6 0.5 The volume of a spherical hot air balloon expands as the air inside the balloon is heated. The radius of the balloon in feet is modeled by a twice-differentiable function ...
*November 26, 2008 by Damon*

**college calculus**

1) each side of a square is increasing at a rate of 6cm/s. At what rate is the area of the square is 16 cm^2? 2)the radius of a sphere is increasing at a rate of 4mm/s.How fast is the volume increasing when the diameter is 80mm? 3)A particle moves along the curve y= (1+x^3)^1/...
*March 31, 2010 by alissa*

**math**

It is projected that t months from now, the average price per unit for gods in a certain sector of the economy will be P(t) = -t3 +7t2 +200t + 300 dollars. c.Use calculus to estimate the change in the rate of price increase during the first half of the 6th month. How can I ...
*November 12, 2011 by namuun*

**Calculus**

A payload is released at an elevation of 500m from a hot-air balloon rising at a rate of 14 m/s v(t)=? How would I go about starting this problem? I know that the procedure is relatively simple but I am beyond rusty and second guess myself too much. Any help would be greatly ...
*August 26, 2014 by Michael G*

**pre-calculus**

For groups of 80 or more people, a charter bus company determines the rate per person according to the formula: Rate=8-0.05(n-80),n(greater than or equal to)80 where the rate is given in dollars and 'n' is the number of people. Now, Express the revenue 'R' for the bus company ...
*October 3, 2008 by aelisha*

**Calculus- rates**

A man 6ft. tall walks at the rate of 5 ft/sec toward a streelight that is 16 ft. above the ground. At what rate is the length of his shadow changing when he is 10ft. from the base of the light?
*November 13, 2011 by Sarah*

**college algebra**

Solve the problem. A man rode a bicycle for 12 miles and then hiked an additional 8 miles. The total time for the trip was 5 hours. If his rate when he was riding a bicycle was 10 miles per hour faster than his rate walking, what was each rate?
*February 25, 2009 by megan*

**differential calculus**

a SECURITY CAMERA is centered 50 feet above a 100-foot hallway. it is easiest to design the camera with a constant angular rate of rotation, but this results in a variable rate at which the images of the surveillance area are recorded. so, it is desirable to design a system ...
*September 16, 2014 by =)*

**calculus-changing voltage**

V = IR V is increasing at the rate of 1 volt/sec while I is decreasing at the rate of 1/3 amp/sec. Let t = time in sec What is dV/dt? What is dI/dt? Find the rate at which R is changing when V = 12 volts and I = 2 amp. Thanks. Please ignore this. I got the answer.
*December 9, 2006 by Jen*

**Math subject Calculus**

Hi there I am having some difficulties to solve this problem from my homework package and i don't understand how to approach this problem. Please help me by giving me advice on how to approach this problem. Let z = xsin(x/y), y does not equal zero. Show that the tangent plane ...
*October 24, 2009 by shylo*

**Calculus - Rate of Change**

Can someone explain how to solve this problem? Sand is being dumped on a conveyor belt onto a pile in such a way that the pile forms in the shape of a cone whose radius is always equal to its height. Assuming that the sand is being dumped at a rate of 10 cubic feet per minute...
*July 29, 2015 by Fred*

**Chemistry**

IF the rate of consumption of N2)4 (below) is .0221, what is the rate of production of NO2? N2O4(g)<->2NO2(g) Please help and explain. BC i have to actually understand how to do the problem. Thanks
*January 23, 2011 by Amber*

**calculus**

is average rate of change and average value the same or will you get a different answer for each this is calculus so it's the mean average. it's using the formula and integrating. I dont understand your question, but I can assure you that average rate of change and average ...
*April 12, 2007 by david*

**Math**

Hello I am having trouble with a pre-calculus problem. The problem is ln|Sin2X-CosX-1|=0 if you could help by listing the steps to solve that would be great! Thanks!
*December 2, 2013 by Anonymous*

**Calculus**

Shadow Length A man 6 feet tall walks at a rate of 3 ft per second away from a light that is 16 ft above the ground (see figure). When he is 11 ft from the base of the light find the following. (a) The rate the tip of the shadow is moving. (b) The rate the length of his shadow...
*August 31, 2011 by Andrea*

**calculus**

Let F(s)=5s2+1s+4. Find a value of d greater than 0 such that the average rate of change of F(s)from 0 to d equals the instantaneous rate of change of F(s)at s=1.
*February 1, 2010 by t*

**Calculus**

Let F(s)=5s2+5s+4 . Find a value of d greater than 0 such that the average rate of change of F(s) from 0 to d equals the instantaneous rate of change of F(s) at s=1. d=
*September 13, 2010 by Melissa*

**calculus**

the side of squyare,s, is increasing at a rate of k unites per second. find the rate at which the area of the square is increasing
*November 29, 2010 by lindy*

**Calculus**

the side of an equilateral triangle decreases at a rate of 3cm/s. at what rate is the area decreasing when the area is 150cm squared?
*June 19, 2011 by Simba*

**Calculus**

Water flowing into a hemispherical tank of 5m radius at a rate of ((3m^3)/(hr)) Determine the rate at which the depth of water increases.
*November 3, 2012 by Daniella*

**Calculus Please help!**

The altitude of a triangle is increasing at a rate of 2500 centimeters/minute while the area of the triangle is increasing at a rate of 3500 square centimeters/minute. At what rate is the base of the triangle changing when the altitude is 7000 centimeters and the area is 87000...
*February 28, 2014 by ALI*

**Calculus - another question**

"The side of an equilateral triangle decreases at the rate of 2 cm/s. At what rate is the area decreasing when the area is 100 cm^2?" Help!
*March 9, 2010 by Stuck*

**Calculus**

a sandbag is dropped from a balloon at a height of 60 meteres when the angle of eleveation to the sun is 30 degrees. find the rate at which the shadow of the sandbag is traveling along the ground when the sandbag is at a height of 35 meters. hint: the position of the sandbag ...
*November 9, 2009 by Anonymous*

**Calculus**

Hello, I really need help on these two homework problem. >< In problem #1, I believe it is related to the exponential functions and their derivatives section...in Calculus II? So, surely there should be a ln in the solution as well? I would like a step by step process ...
*January 31, 2015 by Aria*

**Chemistry**

Calculate the rate at which N2O4 is formed in the following reaction at the moment in time when NO2 is being consumed at a rate of 0.0521 M/s. 2NO2(g) <-> N2O4 (g) I am not really sure how to go about this problem. rate = k (N2O4) d(NO2)/dt = -2 d(N2O4)/dt This is what I...
*May 19, 2009 by Martin*

**Help meee**

Answer from spreadsheet Answer from hand calculation Problem #1: Find the total amount if you deposit $500 at a rate of 5% for two years using simple interest. Year 1 Year 2 Problem #2: Find the total amount if you deposit $300 at a rate of 6% for three years using simple ...
*April 17, 2013 by Katie*

**physics**

A subway train starts from rest at a station and accelerates at a rate of 1.60 m/s2 for 14.0s. It runs at a constant speed for 70.0 s and then slows down at a rate of -3.50 m/s2 until it stops at the next station. a) Sketch a position vs. time graph for this problem. b) Sketch...
*June 4, 2012 by cody*

**Math -Calculus**

A cylinder with radius of 20 ft is being filled with water at a rate of 2000 ft^3/hour. Find the rate at which the height of the water is increasing.
*November 19, 2012 by Puja*

**calculus**

if a snowball melts so that its surface area decreases at a rate f 1cm^2/min, find the rate at which the diameter decrease when the diameter is 10cm?
*October 25, 2013 by Briasn-Ismael vargas*

**Calculus**

How would i start this problem? The amount that workers contribute monthly for health care insurance premiums can be modeled by A(t)=0.07t^3-3.1t^2 + 54.3t-230, where A is the monthly amount contributed and t is the number of years after 1980. Find the instantaneous rate of ...
*October 19, 2009 by Marilyn*

**Calculus Rate of Change**

Find the average rate of change h(x)=2x^2-4 from x=2 to x=6 Simplify your answer as much as possible
*March 25, 2014 by Shelby*

**calculus**

Can you help me solve this problem? I really don't know what to do. I solve problems like for example the rate of change of the elevation but I just encountered this kind of problem so I really don't know what to do. Please help me The endpoints of a movable rod of length 1 ...
*September 15, 2014 by y*

**Calculus-rates**

1.) A man 6 ft tall walks at a rate of 5 ft per sec. from a light that is 15 ft above the ground. At what rate is the top of his shadow changing? 2.) An airplane flies at an altitude of 5 miles toward a point directly over an observer. The speed of the plane is 600 mph. Find ...
*May 5, 2011 by Amy*

**Calculus**

A man of height 1.7 meters walks away from a 5-meter lamppost at a speed of 1.6 m/s. Find the rate at which his shadow is increasing in length. (Round your answer to three decimal places.) This problem is absolutely killing me I see a lot of examples like this on here but I ...
*October 7, 2015 by Jake*

**pre calculus**

Jack invests $1000 at a certain annual interest rate, and he invests another $2000 at an annual rate that is one-half percent higher. If he receives a total of $190 interest in 1 year, at what rate is the $1000 invested?
*March 4, 2014 by Danielle*

**Calculus Homework**

You are blowing air into a spherical balloon at a rate of 7 cubic inches per second. The goal of this problem is to answer the following question: What is the rate of change of the surface area of the balloon at time t= 1 second, given that the balloon has a radius of 3 ...
*October 16, 2013 by Kelly*

**Calculus 1**

A spherical snowball melts in such a way that its surface area decreases at a rate of 1 cm2/min. Find the rate at which its diameter is decreasing when the diameter is 10 cm
*July 3, 2014 by Celia*

**Calculus**

The volume, V cm3 , of a cone height h is pi x h^3 / 12 If h increases at a constant rate of 0.2 cm/sec and the initial height is 2 cm, express V in terms of t and find the rate of change of V at time t.
*January 30, 2015 by Akki*

**chemistry**

I have a problem like this: CHCl3 + Cl2 = CCl4 +HCL This is the rate table: CHCL3 Cl2 Initial Rate .010 .010 .0035 .020 .010 .0069 .020 .020 .0098 .040 .040 .027 They want me to find the rate constant and the rate law.
*February 23, 2013 by Nancy *

**Calculus**

Problem 5. Protein Concentration in Cells Consider a growing bacterial cell that is producing a protein involved in binary fission. Suppose that, at a particular point in time, a bacterial cell has a volume of 1000 μm3 (microns cubed) and is growing at a rate of 5 μ...
*November 3, 2015 by Sky*