Homework Help: Math: Calculus

Recent Homework Questions About Calculus

math calculus
. Folding a Pyramid - A pyramid with a square base and four faces, each in the shape of an isosceles triangle, is made by cutting away four triangles from a square piece of cardboard and bending up the resulting triangles to form the walls of the pyramid. What is the largest ...
Monday, December 3, 2012 at 8:59pm

Calculus
When an electronics store prices a certain brand of stereos at p hundred dollars per set, it is found that q sets will be sold each month, where q2 + 2 p2 = 41. a. Find the elasticity of demand for the stereos using implicit differentiation. b. For a unit price of p = 4 ($400...
Monday, December 3, 2012 at 8:53pm

calculus
A lamp has a cost function of C(x) = 2500 + 10x, where x is the number of units produced per day and C(x) is in dollars. The revenue function for these lamps is R (X)= 18x−.001x^2. At least 100 lamps and no more than 2000 lamps may be produced per day. a. How many lamps ...
Monday, December 3, 2012 at 8:06pm

calculus
1. (30 points) Consider a manufacturer whose total cost of producing x items is given by c(x)=10000+5x+1/9x^2. a. What is the average cost function A(x)= c(x)/x? b. How many items should the manufacturer produce in order to minimize average cost? c. What is the smallest ...
Monday, December 3, 2012 at 7:29pm

calculus
find the limit u-> sqr(u^4 + 3u+ 6)
Monday, December 3, 2012 at 6:57pm

grade 12 AP calculus
Sketch a possible graph of a continuous function f that has domain [0,3], where f(0)=-3 and the graph of y=f'(x) is shown. Thank you so much for the help. It is making the concepts far more clear.
Monday, December 3, 2012 at 4:54pm

Calculus
Evaluate Integral of (lnx)^4/x dx when b is E and a is 1
Monday, December 3, 2012 at 12:47pm

Calculus
Evaluate integral of x times square root of (2x-1)dx
Monday, December 3, 2012 at 11:43am

grade 12 AP calculus
for f(x= -1/4x4-1/3x3+2x, use analytic method to find the exact intervals on which the function is a)increasing, b)decreasing, c)concave up, d)concave down, then find any e)local extreme values, f)inflection points
Monday, December 3, 2012 at 11:33am

Calculus
Evaluate integral of x times the square root of (x-4) dx I got u-(8u^(3/2) over 3) Can anyone check this for me?
Monday, December 3, 2012 at 11:29am

Pre-Calculus
I am supposed to solve these conics, can you please help :)I am supposed to name the center and the vertices. 1. 3y^2-2x^2+12x+24+24y=0 2.-16x^2-4y^2=48x-20y+57
Monday, December 3, 2012 at 2:36am

Pre-Calculus
10. Suppose the cost C of removing p% of the impurities from the waste water in a manufacturing process is given by a) Where does the graph of this function have a vertical asymptote? b) What does this tell us about removing the impurities from this process? c) Removing how ...
Monday, December 3, 2012 at 12:32am

Pre-Calculus
The median salary for male workers for the years 1975-2006 can be modeled by the function thousand dollars, where x is the number of years from 1970. Find the minimum on the graph of this function between x = 10 and x =30 and interpret it.(Use the window [10, 30] by [40, 45...
Monday, December 3, 2012 at 12:24am

ap calculus
suppose that the amount in grams of a radioactive substance present at time t (in years) is given by A (t) = 160e-.70t. Find the rate of decay of the quantity present at the time when t = 4
Sunday, December 2, 2012 at 9:07pm

Calculus
set up an integral to find the volume of an equilateral tetrahedron.
Sunday, December 2, 2012 at 8:51pm

Grade 12 AP calculus
You are using Newton's method to solve x3-5x-2=0. If your first guess is x1=2, what value will you calculate for the next approximation x2?
Sunday, December 2, 2012 at 6:56pm

Calculus
Equation 1: (d[Y])/dt = k1 - v2[Y]*((ϵ^2+([X]/Kn )^2)/(1+([X]/Kn )^2 )) Equation 2: (d[X])/dt = v2[Y]*((ϵ^2+([X]/Kn )^2)/(1+([X]/Kn )^2 )) - k3[X] Kn=3 and ϵ=0 How do I find the value of [X] when system is at steady state?
Sunday, December 2, 2012 at 5:59pm

Calculus
Consider a hemispherical bowl of radius 10cm. (4 points) If the water level in the bowl is h cm deep, find the radius of the surface of the water as a function of h. (6 points) The water level drops at a rate of 0.1 cm per hour. At what rate is the radius of the water ...
Sunday, December 2, 2012 at 4:46pm

calculus
maximum volume of a cone inside a sphere of radius r
Sunday, December 2, 2012 at 4:03pm

Calculus
find the point on the graph of the function that is closest to the given point: f(x)=(x+1)^2 (5,3)
Sunday, December 2, 2012 at 3:09pm

calculus quick question
g(x)= sqrt(1-4x^2) Can someone help me find the first and second derivatives please!
Sunday, December 2, 2012 at 12:08pm

Calculus
A company offers the following schedule of charges: $30 per thousand for orders of 50,000 or less with the charge per thousand decreased by 37.5 cents for each thousand above 50,000. Find the order which will make the company's receipts a maximum? How do you solve it?
Sunday, December 2, 2012 at 12:03pm

Calculus
How do you solve it?
Sunday, December 2, 2012 at 12:02pm

calculus please help
lim y→−1 (sqrt(y^2+8)-3)/y+3 find limit if it exists please help
Sunday, December 2, 2012 at 11:24am

calculus
take the limit as x goes to infinity: (14x/(14x+3))^(4x)
Saturday, December 1, 2012 at 9:27pm

calculus
use the given zeros to find the remaining zeros of the function h(x)=x^4-9x^3+12x^2+138x-1360 zero:3-5i enter the remaining zeros of f please show work
Saturday, December 1, 2012 at 5:50pm

calculus
A water-trough is 10m long and has a cross-section which is the shape of an isosceles trapezoid that is 30cm wide at the bottom, 80cm wide at the top, and has height 50cm. If the trough is being fi lled with water at the rate of 0.2 m3/min, how fast is the water level rising ...
Saturday, December 1, 2012 at 4:19pm

Calculus
d/dx[lnsquare root of(x^3) cube root of (x+3) fifth root of (3x-2)]
Saturday, December 1, 2012 at 9:49am

calculus
lim x->0 x^sin(x)
Saturday, December 1, 2012 at 3:52am

calculus
Find a number x0 between 0 and pi such that the tangent line to the curve y = sin x at x = x0 is parallel to the line y = -x=2. I get that for both lines to be parallel to each other their slopes need to be the same. I found -1/2 = cos(x) but I get stuck here. What ...
Saturday, December 1, 2012 at 2:48am

Calculus
integral[7 sqrt 2/2,0]sqrt(49+x^2) dx
Saturday, December 1, 2012 at 12:06am

Calculus
integral (sqrt(100x^2-324)/x)dx
Friday, November 30, 2012 at 8:48pm

Calculus
integral[7 sqrt 2/2,0]sqrt(49+x^2) dx
Friday, November 30, 2012 at 8:46pm

Calculus
Use the substitution x=3tan() to evaluate the indefinite integral 93dx/(x^2sprt(x^2+9))
Friday, November 30, 2012 at 8:32pm

Calculus
integral[13,4]sin^2(8x)cos^2(8x)dx
Friday, November 30, 2012 at 8:20pm

Math (Calculus)
Use implicit differentiation to find the slope of the tangent line to the curve y/(x–9y)=x^6–2 at the point (1,-1/-8). Can someone please help me? I dont understand
Friday, November 30, 2012 at 6:39pm

Calculus
What do they mean about this question below::: Find the length of the portion of the parabola bounding R Would I have to use the arc length formula or some other formula in order to solve this problem
Friday, November 30, 2012 at 6:35pm

Calculus [Finding volume of solid]
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=x^2 y=0 x=3 about the y-axis
Friday, November 30, 2012 at 6:33pm

Calculus
Find the limit lim x->2 (2x^2 +1)/(x^2 + 6x -4)
Friday, November 30, 2012 at 6:26pm

Calculus [Finding volume of solid]
Find the volume of the solid formed by rotating the region enclosed by x=0 x=1 y=0 y=4+x^5
Friday, November 30, 2012 at 5:43pm

Calculus [rotation of region bounded by curves]
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=3x^2, x=1, y=0 about the x-axis
Friday, November 30, 2012 at 5:42pm

Calculus: Help !
The demand function for a certain brand of blank digital camcorder tapes is given by p=−0.02x^2−0.1x+24 where p is the wholesale unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. Determine the consumers' surplus if...
Friday, November 30, 2012 at 5:41pm

pre calculus
For a given right triangle, angle A = 61± and side b = 39 feet. What is the length of side a to the nearest foot?
Friday, November 30, 2012 at 3:50pm

pre calculus
For a given right triangle, side a = 76.4 feet and side b = 39.3 feet. What is the length of side c to the nearest tenth of a foot?
Friday, November 30, 2012 at 3:50pm

pre calculus
For a given right triangle, angle B = 46 degrees and side c = 30 feet.What is the measure of angle A to the nearest degree?
Friday, November 30, 2012 at 3:50pm

pre calculus
For a given right triangle, side a = 490 feet and side b = 960 feet. What is the measure of angle B to the nearest degree?
Friday, November 30, 2012 at 3:49pm

pre calculus
For a given right triangle, side a = 400 feet and side b = 900 feet. What is the measure of angle B to the nearest degree?
Friday, November 30, 2012 at 3:49pm

pre calculus
For a given right triangle, angle A = 61± and side b = 39 feet. What is the length of side c to the nearest foot?
Friday, November 30, 2012 at 3:48pm

pre calculus
For a given right triangle, side a = 400 feet and side b = 900 feet.What is the measure of angle A to the nearest degree?
Friday, November 30, 2012 at 3:48pm

pre calculus
For a given right triangle, angle B = 46 degrees and side c = 30 feet.What is the length of side b to the nearest foot?
Friday, November 30, 2012 at 3:48pm

Pre Calculus
For a given right triangle, side a = 76.4 feet and side b = 39.3 feet. What is the measure of angle A to the nearest degree?
Friday, November 30, 2012 at 3:47pm

AP CALCULUS
Using the mean value theorem; F'(x) = f(b)-f(a) / b-a f(x)=x^2-8x+3; interval [-1,6]
Friday, November 30, 2012 at 11:17am

calculus
A conical water tank with vertex down has a radius of 12 feet at the top and is 23 feet high. If water flows into the tank at a rate of 20 {\rm ft}^3{\rm /min}, how fast is the depth of the water increasing when the water is 17 feet deep?
Friday, November 30, 2012 at 10:48am

Math (Calculus)
A spherical snowball is melting in such a way that its diameter is decreasing at rate of 0.3 cm/min. At what rate is the volume of the snowball decreasing when the diameter is 10 cm. Can someone help & explain how to solve this question? Please.
Thursday, November 29, 2012 at 11:28pm

calculus
Find a function f such that the curve y = f(x) satisfies y'' = 12x, passes through the point (0,1), and has a horizontal tangent there. I can use the anti-derivatives to get y = 2x^3 + Cx + D but I don't know how to get C even though I know D = 1.
Thursday, November 29, 2012 at 5:04pm

Calculus
*Optimization problem* I'm okay at some optimization problems, but this one has me stumped. You work for a company that manufactures circular cylindrical steel drums that can be used to transport various petroleum products. Your assignment is to determine the dimensions (...
Thursday, November 29, 2012 at 9:50am

Calculus 2
The following function has a series of the form the sum from n=0 to infinity of c(subn)x^n. Calculate the coefficients c(subn) and express the power series in summation notation. f(x)=(pi*x)/(pi*x+1) Thank you so much for your help!!!!
Wednesday, November 28, 2012 at 11:48pm

Calculus 2
The function ln(x-1) can be expressed as a Taylor Series of the form sum of c(subn)(x-2)^n. Calculate the formlua for c(subn).
Wednesday, November 28, 2012 at 9:49pm

Calculus 2
Calculate c(sub0), c(sub1), c(sub2), c(sub3), and c(sub4) for the power series the sum from n=0 to infinity of c(subn)x^n that represents f(x)=tanx. Use the first two nonzero terms of the series to approximate the tangent of 1/4 radian. Compare your approximation with the ...
Wednesday, November 28, 2012 at 9:19pm

Calculus
use mean value theorem: f(x)= 7- 2^x, [0,4], c=?
Wednesday, November 28, 2012 at 6:50pm

Calculus
Evaluate the definite integral of the transcendental function. the integral from 0 to 5 of (2^x +8)dx. I got 40+ 31/log(2)but that's wrong.
Wednesday, November 28, 2012 at 6:48pm

calculus
Find the derivative of y=ln⁡(ln⁡(x))
Wednesday, November 28, 2012 at 6:33pm

Calculus
ind the derivative of y= (2x^2+1)/(x-3)
Wednesday, November 28, 2012 at 6:32pm

Calculus
Find the derivative of y = x^x
Wednesday, November 28, 2012 at 5:26pm

Calculus
Find the maximum volume of a cylindrical tin that has a total surface area of 600pi cm^2.
Wednesday, November 28, 2012 at 5:24pm

Calculus
Evaluate, in spherical coordinates, the triple integral of f(rho,theta,phi)=cos (phi) , over the region 3<rho<7, 0<theta<2pi, 0<phi<pi/3. I used the equation cos (phi)*sin(phi)*rho d(rho)d(phi)d(theta) with the given boundaries. I got -632*pi*sqrt(3)/12 But ...
Wednesday, November 28, 2012 at 2:28pm

Calculus
What is the sum of all the odd #s between 100 & 200??
Wednesday, November 28, 2012 at 11:56am

Confused calculus
Pete invests $10,000 in a certificate of deposits that earns 3% interest , compounded yearly. What will be te compound income at the end of 5 years?
Wednesday, November 28, 2012 at 11:53am

Help ASAP calculus
Which is the 7th term in the sequence of the squares of all odd numbers starting from 1? 144 169 196 200 225
Wednesday, November 28, 2012 at 11:43am

Urgent help calculus
If the area in square units of the region under the curve of the function f(x)=5, on the interval from x=a to x=8 is 20 square units what is the value of a? 4 5 6 7 8
Wednesday, November 28, 2012 at 11:40am

Calculus
Which is the correct cofunction identity for (tan theta?) A csc(90degrees - theta) B sec (90degrees - theta) C sin (90degrees - theta) D cos (90degrees - theta) E cot (90degrees - theta)
Wednesday, November 28, 2012 at 11:00am

Calculus
Convert theta=225degrees A y=-1 B y=1 C y=x D y=-x E x=-1
Wednesday, November 28, 2012 at 10:43am

Calculus (help Steve plz)
1) if w = <-8, 15>, find ||w||? 2) which expression is equivalent to (sin x+1) (sin x -1)? A. Cos^2x B. -cos^2x C. Cos^2x+1 D. Cos^2x-1 E. -cos^2x-1
Wednesday, November 28, 2012 at 10:33am

calculus
y1= sin (x) y2= (tanx) It is graphed in the interval [0, pi/2] find the integral
Wednesday, November 28, 2012 at 12:32am

calculus
If z = 2cis 60°, find z^4 in rectangular form.
Wednesday, November 28, 2012 at 12:16am

calculus
If w = <-8, 15>, find ||w||.
Wednesday, November 28, 2012 at 12:13am

calculus
Find the area of the indicated region. We suggest you graph the curves to check whether one is above the other or whether they cross, and that you use technology to check your answer. (Round your answer to four significant digits.) HINT [See Quick Example page 1028.] Enclosed ...
Wednesday, November 28, 2012 at 12:04am

calculus
Which expression is equivalent to (sin x + 1)(sin x − 1)?
Tuesday, November 27, 2012 at 11:46pm

Calculus
Find the equation of the curve passing through P (1,2) whose slope is the square root of the product of the coordinates of any point on the curve.
Tuesday, November 27, 2012 at 11:23pm

calculus
Simplify the expression: tan(-x)csc(x)
Tuesday, November 27, 2012 at 11:20pm

calculus
What is the exact value of sin(2 theta) if cos (theta)=3/5 and (theta) is in quadrent 4? 12/25 24/25 -12/25 -7/25 -24/25
Tuesday, November 27, 2012 at 11:04pm

calculus
Find the point (x,y) on the curve y=sqrt(x+4) closest to the origin.
Tuesday, November 27, 2012 at 10:25pm

calculus
Find the point (x,y) on the curve y=sqrt(x+4) closest to the origin.
Tuesday, November 27, 2012 at 9:44pm

calculus
An open box is to be constructed by cutting corners out of a 9in by 12in sheet of cardboard and folding up the sides. Find the dimensions which will maximize volume.
Tuesday, November 27, 2012 at 9:41pm

Calculus
Find an antiderivative of q(t)=(t+8)^5
Tuesday, November 27, 2012 at 7:12pm

Pre-calculus
You are given a 12"x18" piece of construction paper. You are to cut a square out of each corner in order to create a 3-dimensional open-top box. What size squares would you need to cut in order to maximize the volume of the box?
Tuesday, November 27, 2012 at 6:01pm

calculus
a random sample of 80 students at a large school shows an average grade of 72 in algebra with a standard deviation of 4. find the t-score you would use for an 95 % confidence interval
Tuesday, November 27, 2012 at 2:34pm

calculus
A multistoried building has a floor area of 2,000 square feet on the ground floor, 1,995 square feet on the 1st floor, 1,990 square feet on the 2nd floor, and so on. If the areas of the higher floors follow this sequence, what is the expression to calculate the area of the nth...
Tuesday, November 27, 2012 at 11:14am

CALCULUS
The masses of 10 books are found to be in an arithmetic sequence. If their total mass is 13 kg and the lightest book has a mass of 400 grams, what is the mass of the heaviest book? 2,000 grams 2,100 grams 2,200 grams 2,300 grams 2,700 grams
Tuesday, November 27, 2012 at 11:07am

calculus
What is the first natural number that causes the statement 1 + 3 + 5 +... + (2n − 1) 4n − 1 to fail? 2 3 4 5 6
Tuesday, November 27, 2012 at 10:58am

calculus
If Sn = 1 + 6 + 11 + 16 + 21 + 26...... where an = (5n − 4), what would be the mathematical expression represented by Sk + ak + 1?
Tuesday, November 27, 2012 at 10:56am

calculus
Which is the sixth term in the expanded form of this binomial? 14(x)^3 280(x)^2 280(x)^3/2 672x 448x
Tuesday, November 27, 2012 at 10:39am

calculus
Robin randomly selects a number between 1 and 20. What is the probability that the number selected is the square of a natural number? 1/2 3/20 3/10 1/5 1/3
Tuesday, November 27, 2012 at 10:29am

calculus
3 letters are chosen at random from the letters P, A, N, S, O, L. What is the size of the sample space of this experiment? 12 10 20 30 35
Tuesday, November 27, 2012 at 10:20am

pre calculus
A bag contains 4 blue marbles, 2 black marbles, and 3 red marbles. If a marble is randomly drawn from the bag, what is probability that it is not black? 1/2 2/9 5/9 7/9 14/19
Tuesday, November 27, 2012 at 10:09am

calculus
A camera store sells 40 pairs of binoculars per week on average with a standard deviation of 6. What is the probability that the store will sell more than 52 pairs binoculars in any week? 8.28 3.57 7.24 2.28 4.55
Tuesday, November 27, 2012 at 10:03am

calculus
Which of the following is NOT a solution to cos^2 x = 3sin^2 x? 30 60 150 210 330
Tuesday, November 27, 2012 at 9:51am

calculus
Which is the correct cofunction identity for tan?
Tuesday, November 27, 2012 at 9:49am

calculus
What is the value of this expression when n approaches infinity? 4 −(4/n)+(5/n)+(15/3n^2) *its all one eqation*
Tuesday, November 27, 2012 at 9:23am

calculus
A machine on an assembly line fills cans with quantities of food that are normally distributed with a standard deviation of 0.057 pounds. The mean quantity filled is estimated using a sample of 100 cans. What is the difference between the upper and lower limits of the 95% ...
Tuesday, November 27, 2012 at 9:13am

pre calculus
janet worked on a garden shaped like a triangle with a base that is 5 m less than twice the height. If the area of the garden is 90 m^2, how long is the base and the height?
Tuesday, November 27, 2012 at 1:38am

calculus
Which expression completes the identity sin ucosv = ?
Tuesday, November 27, 2012 at 1:06am

math calculus
What value must be defined for f(4) to remove the discontinuity of this function at x = 4? f(x)= x^2-16/x-4 0 4 -4 8 -8
Tuesday, November 27, 2012 at 12:12am

CALCULUS
what is the area in square units of the region under the curve of the function f(x)=x+3, on the interval from x=1 to x=3? 10 12 14 16 18 ?
Tuesday, November 27, 2012 at 12:05am

calculus
if the distance covered by an object in time is given by s(t)=t^2+5t where s(t) is in metersand t is in seconds, what is the distance covered in the interveral between 1 second and 5 seconds?
Monday, November 26, 2012 at 11:52pm

calculus
the height in feet of a rocket from ground level is given by the function f(t)= -16t^2+160t. what is the instantaneous velocity of the rocket 3 seconds after it is launched? A 32 feet/sec B 64 feet/sec C 12 feet/sec D 10 feet/sec E 8 feet/sec
Monday, November 26, 2012 at 11:49pm

calculus
what is the slope of the tangent line passing through the point (2,3) of the graph of this function? f(x)=x^2+2x-5 A 1 B 2 C 3 D 4 E 6
Monday, November 26, 2012 at 11:46pm

calculus
what is the value of this limit lim ( (square root x^2+7) +5) x->-3 A 7 B 5 C 3 D 10 E 9
Monday, November 26, 2012 at 11:44pm

math calculus
what does this function show at x=5? f(x)=^2-25/x-5 A. removable discountinuity B. jump discountinuity C. infinite discountinuity D. Countinuity E. None of the above
Monday, November 26, 2012 at 10:59pm

math calculus
In an experiment a persons body temperature is given by T=310-(7/9)^n where n is the number of minutes after in an experiment a persons body temperature is given by T=310-(7/9)^n where n is the number of minutes after the start of the experiment and T is the temperature in ...
Monday, November 26, 2012 at 10:57pm

calculus
What is the value of this limit? lim (x^2+4/^2-3x+1) x->4 A. 1 B. 4 C. 5 D -oo E. oo
Monday, November 26, 2012 at 10:54pm

CALCULUS
3rd derivative of (2/x3)+(the sqrt of x-2)/(3x-6)
Monday, November 26, 2012 at 8:34pm

calculus
A rocket fired at 275 m/s at 36o angle of elevation is described by: x= (275cos〖36〗^0 )t and y= (275sin〖36〗^o )t-4.9t^2 Find the velocity (magnitude and direction) at t = 8 s. Round to 1 decimal place.
Monday, November 26, 2012 at 8:34pm

calculus
The angular displacement in radians is given by: θ=8√(t^2+2) Find the angular velocity and angular acceleration at t = 0.25 s.
Monday, November 26, 2012 at 8:31pm

calculus
A point moves along the curve that has the parametric equations: x=9t^3- 〖6t〗^2 and y= 〖9t〗^3+27 x and y being in yards and t being in minutes. Find the magnitude and direction of the acceleration when t= 5/2. Round answers to 3 significant figures.
Monday, November 26, 2012 at 8:30pm

calculus
Find the instantaneous velocity and acceleration at the given time for the straight-line motion described by the equation: s= (t+2)^4- (t+2)^(-2) at t=1 Round to one decimal place.
Monday, November 26, 2012 at 8:30pm

math (calculus)
A line segment has one endpoint, A, on the x-axis and the other endpoint, B, on the y-axis. It passes through the point (1,2). If O is the point (0,0), for what value of angle OAB is the length of the line segment AB a minimum? What is the minimum length?
Monday, November 26, 2012 at 4:32pm

calculus
The voltage (V) applied to a 0.25 F capacitor is given by the equation : v= (t^2-2t)^3/5t Find the current at t = 3.7 s. (i=C dv/dt) Round to 3 significant figures
Monday, November 26, 2012 at 2:10pm

calculus
The displacement (cm) of a point is given by s= 〖4t〗^3-3√(1+2t) . Find the instantaneous velocity and acceleration at t = 1.5 sec. Round to 3 significant figures
Monday, November 26, 2012 at 2:08pm

Calculus AB
Is there a connection or correlation between an increasing interval and a concave up interval? Explain?
Sunday, November 25, 2012 at 7:46pm

Pre Calculus
When doctors prescribe medicine at equally spaced time intervals, they are aware that the body metabolizes the drug gradually. After some period of time, only a certain percent of the original amount remains. After each dose, the amount of the drug in the body is equal to the ...
Sunday, November 25, 2012 at 5:42pm

Pre Calculus
The third term of a geometric series is 24 and the fourth term is 36. Determine the sum of the first 10 terms. Express your answers as an exact fraction.
Sunday, November 25, 2012 at 5:29pm

Pre Calculus
(a) Determine the number of terms, n, if 3+3^2+3^3+..........+3^n= 9840. (b) Three numbers, a, b and c form a geometric series so that a+b+c = 35 and abc = 1000. What are the values of a, b and c ?
Sunday, November 25, 2012 at 5:23pm

calculus
Two particles move along the x-axis. For 0≤t≤6, the position of particle P is p(t)=2cos(t*π/4), while the position of particle R is r(t)=t^3-6t^2+9t+3. For 0≤t≤6 find all the times which the two particles travel in opposite directions.
Sunday, November 25, 2012 at 2:37pm

calculus
A 12,000 liter tank filled to capacity at t=0 drains at rate r(t), measured in liters per hour, where r is defined as piece-wise function: r(t)={ (600t)/(t+3), [0,5] {1000e^(-0.2t), (5,infinity) Is r continuous at t=5? Show work that lead to you answer.
Sunday, November 25, 2012 at 2:30pm

Calculus
A square piece of canvas measuring 10 ft. by 10 ft. is to be used to make a pup tent with open ends as shown. How long should the center pole be if the volume covered by the tent is to be maximum?
Saturday, November 24, 2012 at 6:43pm

Pre-Calculus
Is the period of f(x) = 2cos(3x - ð) 2ð/3?
Saturday, November 24, 2012 at 6:07pm

Calculus
A water trough is 6 m long, and its cross-section has the shape of an isosceles trapezoid that is 20 cm wide at the bottom, 50 cm wide at the top and 40 cm high. If the trough is being filled with water at the rate of 0.2 cubic meters/min, how fast is the water level rising ...
Saturday, November 24, 2012 at 12:02am

Pre-Calculus
A ball is thrown vertically upward with an initial velocity of 64 feet per second. The distance(in feet) of the ball from the ground after t seconds is s=64t-16t. At what time will the ball strike the ground? For what time t is the ball more than 28 feet above the ground. The ...
Friday, November 23, 2012 at 4:22pm

Calculus!
A 16 ft. ladder leans against a wall, with the top being 12 ft. from the wall when time t=0. The top is sliding down at a constant rate of 4 ft./second. Given that the top of the ladder touches the ground at 3 seconds, what is the velocity of the bottom of the ladder when t=3?
Friday, November 23, 2012 at 3:33pm

calculus II
Suppose R is the region in the plane enclosed by y = x2 and y = 4. a) Compute the perimeter P and area A of R, and then compute the ratio Q = A/P2. Note By squaring the perimeter the ratio becomes independent of the units chosen to measure the region. b) Compute this ratio Q...
Friday, November 23, 2012 at 3:03pm

calculus
A boat sails 30 miles to the east from a point P, then it changes direction and sails to the south. If this boat is sailing at a constant speed of 10 miles/hr, at what rate is its distance from the point P increasing a) 2 hours after it leaves the point P b) 7 hours after it ...
Thursday, November 22, 2012 at 9:42am

calculus
Given that f(x)=2/3x^3 + 3/2x^2 -2x + 5. Find if exist, the maximum and minimum point using Second Derivative Test.
Thursday, November 22, 2012 at 5:58am

calculus
A fence 5 feet tall runs parallel to a tall building at a distance of 3 feet from the building. What is the length of the shortest ladder that will reach from the ground over the fence to the wall of the building?
Wednesday, November 21, 2012 at 10:21pm

Calculus
Find (1) marginal and (2)the average functions for the following total function. Evaluate them at Q=3 and Q=5 π=q^2+13q+78
Wednesday, November 21, 2012 at 10:18pm

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