Tuesday

February 9, 2016
**Calculus 1**

Use Newton's method to find all roots of the equation correct to six decimal places. (Enter your answers as a comma-separated list.) (x − 9)^2 =ln x
*Thursday, November 12, 2015 by TayB*

**Calculus 1**

Use Newton's method with initial approximation x1 = −2 to find x2, the second approximation to the root of the equation x^3 + x + 1 = 0. *I got -1.307692 for my answer but it said that was wrong, so then I tried rounding it to two decimal places and got -1.31 and ...
*Thursday, November 12, 2015 by TayB*

**Calculus 1**

A piece of wire 23 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle. (a) How much wire should be used for the square in order to maximize the total area? (b) How much wire should be used for the square in order ...
*Wednesday, November 11, 2015 by TayB*

**Calculus**

Evaluate using Integration by Parts. x^2 cos(3x) dx
*Wednesday, November 11, 2015 by Anonymous*

**Pre-Calculus**

A parallelogram has adjacent sides 7 cm and 15 cm. If the shorter diagonal is 10 cm long, find the length of the longer diagonal.
*Tuesday, November 10, 2015 by starmario12*

**Calculus**

Evaluate the definite integral using the properties of even and odd functions. S 2 (1/2 t^4+3)dt -2
*Tuesday, November 10, 2015 by Please Help *

**pre-Calculus**

Evaluate the definite integral using the properties of even and odd functions. S 2 (1/2 t^4+3)dt -2
*Tuesday, November 10, 2015 by Calculus Help *

**Calculus**

The marginal cost of a product is modeled by dC/dx =12/Cube root (12x+5) where x is the number of units. When x = 13, C = 160. (a) Find the cost function. (Round your constant term to two decimal places.) C= Ans- 3/2(12x+5)^2/3 +115.61 ???? (b) Find the cost of producing 70 ...
*Tuesday, November 10, 2015 by akash*

**Calculus**

Find the local maximum and local minimum of the function. f(x) = x^3 − 12x^2 − 27x + 7
*Monday, November 9, 2015 by Callie*

**Calculus-antiderivative**

Find f. f ''(θ) = sin θ + cos θ, f(0) = 5, f '(0) = 3 My steps: f'(θ)=cosθ-sinθ+C When f'(0)=3, C=-2, so f'(θ)=cosθ-sinθ-2. f(θ)=-sinθ-cosθ-2x+D When f(0)=5, D=6, so f is -sinθ-cosθ-...
*Monday, November 9, 2015 by Callie*

**Calculus**

Find the critical numbers of the function. (Use n to denote any arbitrary integer values.) f(θ) = 12 cos θ + 6 sin2θ My answer was pi/2 and 3pi/2, but those were wrong. I don't understand the 'n' part, either.
*Monday, November 9, 2015 by Callie*

**Calculus**

How do you integrate 2x^5 • e^x^2 ? I would say that this cannot be evaluated because the answer is more complicated than the original problem. Am I correct? Or is it doable?
*Monday, November 9, 2015 by Rucha*

**Calculus**

Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 17 + 4x − x^2, [0, 5] I got -13 and 17, but the answers were wrong. Take the derivative for the critical values, right? To get 2 as a critical value. What from there?
*Monday, November 9, 2015 by Callie*

**Calculus **

The rate of growth dP/ dt of a population of bacteria is proportional to the square root of t with a constant coefficient of 9, where P is the population size and t is the time in days (0¡Üt¡Ü10). The initial size of the population is 700. Approximate the...
*Monday, November 9, 2015 by Beth*

**calculus**

use symmetry to evaluate the double integral (1+x^2siny+y^2sinx)dA, R=[-pi,pi]x[-pi,pi]. let g(x) and h(y) be two functions: int(c to d)int(a to b)(g(x,y)+h(x,y))dxdy=int(c to d)int(a to b)g(x,y)dxdy+int(c to d)int(a to b)h(x,y)dxdy
*Monday, November 9, 2015 by Inna*

**Calculus**

how do you solve this trig identity? i don't get it at all! cos(a+b)cos(a-b)=cos^2a-cos^2b-1
*Monday, November 9, 2015 by sakura*

**Calculus**

Find the lim x→∞ of (ln(x))^2)/x using L'hospital's rule. I got - infinity when I did this, but I think I was looking at the numerator wrong when I took the derivative.
*Sunday, November 8, 2015 by Callie*

**Calculus**

Find the volume of the solid obtained by rotating the region under the graph of f(x)= 9-x^2 for 0<= x<=3 about the vertical axis x= -2. My answer: 81 pi/2
*Sunday, November 8, 2015 by Rucha*

**Pre-Calculus**

Two lookout towers are situated on mountain tops A and B, 4 mi from each other. A helicopter firefighting team is located in a valley at point C, 3 mi from A and 2 mi from B. Using the line between A and B as a reference, a lookout spots a fire at an angle of α = 42° ...
*Sunday, November 8, 2015 by Samantha*

**Calculus**

Find the area of the region between the graphs of f(x)=3x+8 and g(x)=x^2 +2x+2 over [0,2]. My answer: 34/3
*Sunday, November 8, 2015 by Rucha*

**calculus**

assume x and y are functions of t. Evaluate dy/dt for 2xy--4x/3y^3=48, with conditions dx/dt=-6,x=3, y=-2
*Sunday, November 8, 2015 by faye*

**Calculus**

Consider a sphere container with radius R. 1. Suppose it is filled to height h, below halfway, with water. Find the volume of the water. 2. What is the proportion of the sphere's total volume taken up by the water filled as described in problem #1? 3. Suppose it us filled ...
*Saturday, November 7, 2015 by Anonymous*

**Calculus-Reiny**

Yay! Reiny, you read the description of f(x) correctly. Recall the problem posted earlier: Let f(x)= abs of negative abs of x + pi/2 close abs and g(x)= abs of cosx. the wording might be confusing so here is another description of the equation (the "vertical line" ...
*Saturday, November 7, 2015 by Anonymous*

**Calculus**

suppose a sphere container of radius R=10 cm is fulled to a height of h=2 cm with a magic potion of density p=12g/mm^3. If the empty container weighs 500 g, how much does it weigh after the potion is poured in?
*Saturday, November 7, 2015 by Anonymous*

**Calculus**

Let f(x)= abs of negative abs of x + pi/2 close abs and g(x)= abs of cosx. the wording might be confusing so here is another description of the equation (the "vertical line" that I refer to is the line you draw as you draw the absolute value sign...for example "...
*Saturday, November 7, 2015 by Anonymous*

**Calculus**

Evaluate the integral. (Remember to use ln(|u|) where appropriate.) cot^3(3x) dx
*Saturday, November 7, 2015 by Anonymous*

**Calculus**

In a right triangle, the hypotenuse is of fixed length of 15 units, one side is increasing in length by 4 units per second while the third side is decreasing in size. At a certain instant the increasing side is of length 9 units. Find the rate of change of the third side at ...
*Saturday, November 7, 2015 by Bob*

**Calculus**

Find the Absolute Maximum and Absolute Minimum of f on (0,3]. f(x)=(x^3-4x^2+7x)/x Multiple choice question I know the minimum is (2,3) but the maximum is either nothing or (0,7) but I can't tell which one
*Saturday, November 7, 2015 by Henry*

**Calculus**

A company needs to make a cylindrical can that can hold precisely 2.1 liters of liquid. If the entire can is to be made out of the same material, find the dimensions of the can that will minimize the cost. Round your answer to the nearest four decimal places.
*Friday, November 6, 2015 by Coc*

**calculus**

Evaluate ¡Ò(1+xe^x)/x dx
*Friday, November 6, 2015 by Beth*

**Calculus**

Test for convergence: (n+5)/((n^7+n^2)^(1/3)) from 1 to inf. I cannot figure out which test to use. any help would be great!
*Friday, November 6, 2015 by Alex*

**calculus**

Evaluate ¡Ò(9tanxcosx+5)dx
*Friday, November 6, 2015 by Beth*

** Calus calculus **

a. Find the critical points of f on the given interval. b. Determine the absolute extreme values off on the given interval f(x)= x In(x/5); (0.1,5)
*Friday, November 6, 2015 by Mjeed*

** Calculus **

A)Find the critical points off on the given interval. B)Determine the absolute extreme values of f on the given interval. F(x)=xe^-x/2 on (0,5)
*Friday, November 6, 2015 by Mjeed*

**Calculus**

Evaluate the integral. cot3(4x) dx
*Thursday, November 5, 2015 by Anonymous*

**calculus**

Prove that sin(π + θ) = (-sin2θ) / (2cosθ)
*Thursday, November 5, 2015 by kelsey*

**Calculus**

Evaluate using integration by parts, substitution, or both if necessary. the intergral of cos 2x ln(sin 2x) dx My work: w= sin2x dw= 2cos2xdx 1/2 dw= cos2xdx 1/2 integrsl sign ln(w)dw u= lnw u'= 1/w v= w v'=1 1/2 [(lnw)(w)- integral sign (1/w)(w) dw] 1/2 (wlnw-w) Final...
*Thursday, November 5, 2015 by Anonymous*

**Calculus**

Find the points on the curve y=x2+2 closest to the point (0,3). Enter the coordinate with the smallest x-value first and round to the nearest 4 decimal places.
*Thursday, November 5, 2015 by Mark*

**calculus**

An Olympic athlete is standing at the edge of one side of a 3.7km wide river and wants to reach the point 7.4km downstream just along the edge of the opposite side. For this entire 7.4km stretch, the river is completely straight. The velocity of the current is negligible. The ...
*Thursday, November 5, 2015 by john*

**Calculus**

A company needs to make a cylindrical can that can hold precisely 1.5 liters of liquid. If the entire can is to be made out of the same material, find the dimensions (radius and height) of the can that will minimize the cost. Round your answer to the nearest four decimal ...
*Thursday, November 5, 2015 by E*

**math/economics in calculus**

The average cost of manufacturing a quantity q of a good, is defined to be a(q) = C(q)/q. The average cost per item to produce q items is given by a(q) = 0.01q2 − 0.6q + 13, for q >0. I know that the total cost is 0.01q^3-0.6q^2+13q What is the minimum marginal cost? ...
*Thursday, November 5, 2015 by Jasmine*

**Calculus**

Squares with sides of length x are cut out of each corner of a rectangular piece of cardboard measuring 3 ft by 4 ft. The resulting piece of cardboard is then folded into a box without a lid. Find the volume of the largest box that can be formed in this way. b) Suppose that in...
*Thursday, November 5, 2015 by Michelle*

**Calculus 1-Optimization**

A box with a square base and open top must have a volume of 4,000 cm^3. Find the dimensions of the box that minimize the amount of material used. sides of base cm height cm
*Thursday, November 5, 2015 by TayB*

**Calculus 1 optimization**

A farmer wants to fence an area of 6 million square feet in a rectangular field and then divide it in half with a fence parallel to one of the sides of the rectangle. What should the lengths of the sides of the rectangular field be so as to minimize the cost of the fence? ft (...
*Thursday, November 5, 2015 by TayB*

**Pre-Calculus**

Write the standard form of the equation of the line that passes through the point (-4, -2) and is perpendicular to the graph of 3x - 2y + 9 = 0.
*Thursday, November 5, 2015 by Tay*

**Calculus 1**

The rate (in mg carbon/m^3/h) at which photosynthesis takes place for a species of phytoplankton is modeled by the function P = (120I)/(I^2 + I + 4) where I is the light intensity (measured in thousands of foot-candles). For what light intensity is P a maximum?
*Thursday, November 5, 2015 by TayB*

**Calculus**

use tangent line approximation (linear approximation) to estimate The cube root of 1234 to 3 decimal places. Hint: the equation should be y=f'(x0)(x-x0)+f(x0) 11^3=1331 can be easily computed using binomial theorem. I used linear approximation and got 10.733, but it is not...
*Wednesday, November 4, 2015 by Henry*

**Calculus**

A box with a square base and no top is to be built with a volume of 4000 in3. Find the dimensions of the box (Length, Width, Height) that requires the least amount of material. How much material is required at the minimum?
*Wednesday, November 4, 2015 by E*

**Calculus 1**

Locate the absolute extrema of the function f(x)=Sinpix on the closed interval [1,1/3]
*Wednesday, November 4, 2015 by Justin*

**Calculus**

Find the limit as x approaches 0+ of (lnx)/x using L'hospitals rule. When I do this, I keep getting stuck at 1/0 when you plug back into the equation after doing l'hospital once.
*Wednesday, November 4, 2015 by Callie*

**Calculus**

Evaluate ∫ (cos(x))^(1/2)sin(x)dx Let u = cos(x)? ∫ (u)^(1/2)sin(x)dx = ∫ [2u^(3/2)/3]sin(x)dx ∫ [2cos(x)^(3/2)/3] (-cos(x)) dx? I thought this involved the FTC, but now I'm thinking that's false.
*Wednesday, November 4, 2015 by Justin*

**Calculus**

Alright, I want to see if I understand the language of these two problems and their solutions. It asks: If F(x) = [given integrand], find the derivative F'(x). So is F(x) just our function, and F'(x) our antiderivative? 1) F(x) = ∫(2, x) [t^(3)+1]^(1/2)dt Let u...
*Wednesday, November 4, 2015 by Justin*

**calculus**

A Norman window is constructed by adjoining a semicircle to the top of a rectangular window . (The diameter of the semicircle is the same as the width of the rectangular) If the perimeter of the Norman window is 20 ft, find the dimensions that will allow the window to admit ...
*Wednesday, November 4, 2015 by Beth*

**Calculus**

Gloria would like to construct a box with volume of exactly 45ft^3 using only metal and wood. The metal costs $15/ft^2 and the wood costs $6/ft^2. If the wood is to go on the sides, the metal is to go on the top and bottom, and if the length of the base is to be 3 times the ...
*Wednesday, November 4, 2015 by Dave*

**Calculus**

Use a Riemann sum with n = 3 terms and the right endpoint rule to approx. ∫(1, 2) sin(1/x)dx. My teacher just needs the terms written out, no need to add or multiply. This is a problem she did up on the board, so here's her answer: sin(4/3)(1/3) + sin(5/3)(1/3) + sin...
*Wednesday, November 4, 2015 by Justin*

**Calculus**

For a cylinder with a surface area of 90, what is the maximum volume that it can have? Round your answer to the nearest 4 decimal places. The volume of a cylinder is πr^2*h and the surface area is 2πrh+2πr^2.
*Wednesday, November 4, 2015 by John*

**Calculus**

A rectangular recreational field needs to be built outside of a gymnasium. Three walls of fencing are needed and the fourth wall is to be a wall of the gymnasium itself. The ideal area for such a field is exactly 250000ft2. In order to minimize costs, it is necessary to ...
*Wednesday, November 4, 2015 by Erik*

**HELP CALCULUS HOMEWORK DUE TODAY**

Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = (x) / (x^2 − x + 25), [0, 15]?
*Wednesday, November 4, 2015 by Anonymous*

**Calculus I**

a). Find the critical points of the following functions on the domain or on the given interval. b). Use a graphing utility to determine whether each critical point corresponds to a local minimum, local maximum, or neither f(x)= x- tan^-1 x
*Wednesday, November 4, 2015 by Mjeed*

**Calculus 1**

a power station needs to supply power lines to a location 10 miles downstream and on the other side of a river that is 0.75 miles wide. Power lines cost $7 per foot on land and $10 per foot under water. What is the most economical path? What is the minimum cost? I know I have ...
*Tuesday, November 3, 2015 by chelz*

**Calculus**

Find the limit as x->infinity of (1+8/x)^x
*Tuesday, November 3, 2015 by Callie*

**Pre-Calculus**

You are taking a flight from Daytona Beach to St. Louis. There is a stopover in Atlanta. The bearing from Daytona Beach to Atlanta is N 38.3 degrees W. The bearing from Dayton directly to St. Louis is N 43.4 degrees W. The distance of the first leg of the trip from Daytona to ...
*Tuesday, November 3, 2015 by Darshini*

**Calculus**

Find an equation of the tangent line to the curve at the point (1, 1/e). y = (x^3)(e^−x)
*Tuesday, November 3, 2015 by Callie*

**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...
*Tuesday, November 3, 2015 by Sky*

**Business Calculus**

Bill wants to fence in his rectangular garden so his precious produce will be protected. Three sides of the fence will be constructed with wire at $2 per linear foot and the fourth side will be constructed of wood fencing at a cost of 6$ per linear foot.If he has $400 to spend...
*Monday, November 2, 2015 by Rae*

**calculus**

The edge of a cube office is decreasing at a constant rate of two cm per seconds .find the rate of change of its volume at that instant when the volume is 64m cube
*Monday, November 2, 2015 by angela*

**Calculus 1**

You have 4L feet of fence to make a rectangular vegetable garden alongside the wall of your house, where L is a positive constant. The wall of the house bounds one side of the vegetable garden. What is the largest possible area for the vegetable garden?
*Sunday, November 1, 2015 by Grant*

**Calculus 1**

A family wants to fence a rectangular play area alongside the wall of their house. The wall of their house bounds one side of the play area. If they want the play area to be exactly 1600ft^2, what is the least amount of fencing needed to make this? Round your answer to the ...
*Sunday, November 1, 2015 by Grant*

**Calculus**

Use the Shell Method to compute the volume V of the solid obtained by rotating the region enclosed by the graphs of the functions y = x^2, y = 8 − x^2,and x = 1/2 about the y-axis. Here is how I set up the integral: 2 pi integral sign [-2,2] (1/2 - x)[(8-x^2)- (x^2)]dx ...
*Saturday, October 31, 2015 by Anonymous*

**Calculus **

The volume V of a growing spherical cell is V =4/3πr^3, where the radius is measured in micrometers (1 µm = 10^−6m). Find the average rate of change of V with respect to r when r changes from 3 to each of the following. i)3 to 6µm ii)3 to 4µm
*Saturday, October 31, 2015 by Joey*

**Pre calculus**

A plane is headed due south with an airspeed of 190 mph. A wind from the direction of S 40 degrees W is blowing at 30 mph. Find the groundspeed of the plane, rounded to the nearest whole number
*Friday, October 30, 2015 by Jacob*

**Calculus 1**

Consider the following. B(x) = 3x^(2/3) − x (a) Find the interval of increase.(Enter your answer using interval notation.) Find the interval of decrease. (Enter your answer using interval notation.) (b) Find the local maximum value(s).(Enter your answers as a comma-...
*Friday, October 30, 2015 by TayB*

**Calculus 1**

Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = (e^−x)*(− e^−6x), [0, 1]
*Friday, October 30, 2015 by TayB*

**Calculus 1**

Find the absolute maximum and absolute minimum values of f on the given interval. f(x)=(x^2-4)/(x^2+4), [-4,4]
*Thursday, October 29, 2015 by TayB*

**Pre-Calculus**

Use the CALC features of the TI to answer the following. Show what you put into the calculator & what CALC feature you used. Round to the nearest tenths. The equation h = 20 cos (π/4 (t-3)) + 23 tells how high above the ground a ferris wheel car is at any given time. h is...
*Thursday, October 29, 2015 by Clarice*

**calculus**

why is sec(pi)x = (1/pi)secx
*Thursday, October 29, 2015 by Marcelo*

**Pre-calculus**

A surveyor standing 62 meters from the base of a building measures the angle to the top of the building and finds it to be 38°. The surveyor then measures the angle to the top of the radio tower on the building and finds that it is 45°. How tall is the tadio tower?
*Thursday, October 29, 2015 by Fred*

**AP CALCULUS HELP**

first, we must find 2z(dz/dt)=2x(dx/dt) + 2y(2y/dt) simplifying, we get: dy/dt=???(dx/dt + dy/dt) What is that simplified?
*Wednesday, October 28, 2015 by Anonymous*

**Calculus**

Use differentials to estimate the amount of paint needed to apply a coat of paint 0.02 cm thick to a sphere with diameter 40 meters. (Recall that the volume of a sphere of radius r is V=(4/3)πr^3. Notice that you are given that dr=0.02.)
*Wednesday, October 28, 2015 by Henry*

**Pre-Calculus**

During a storm a ship is being tossed up and down by huge waves. The vertical motion of the ship is given by the equation: h = 21cos((2π/5)t) where h is height above sea level in feet at time t minutes. 1) Give the first 2 times that the ship is at sea level. 2) Give a ...
*Wednesday, October 28, 2015 by Clarice*

**Calculus**

The consumer demand equation for tissues is given by q = (97 − p)2, where p is the price per case of tissues and q is the demand in weekly sales. (a) Determine the price elasticity of demand E when the price is set at $26. (Round your answer to three decimal places.) E =...
*Wednesday, October 28, 2015 by Megan*

**Calculus - Differentiate**

Differentiate y= (sin(x)) / (x^4) y' = ?
*Wednesday, October 28, 2015 by victoria*

**Calculus**

Let f(x)=x^4. If a=1 and dx=Δx=1/2, what are Δy and dy?
*Wednesday, October 28, 2015 by Henry*

**Calculus**

The formula for the amount (A) in a savings account compounded n times per year for t years at an annual interest rate r, with initial deposit P, is given by A=P(1+r/n)^nt. Evaluate this formula as the number of compoundings per year becomes infinite. (the number "e"...
*Tuesday, October 27, 2015 by Nick*

**Calculus**

A baseball player hits a baseball from home base towards second base with a velocity of 90 feet/second. At that same moment, he runs from home base towards first base at 30 feet/second. Find the rate of change of the distance between him and the baseball after 1 second.
*Tuesday, October 27, 2015 by Nick*

**Pre-Calculus**

3. Joyce is buying a pair of jeans for $39.99. The jeans are on sale at a 20% discount and the sales tax is 7%. Write a function T(x) to represent the total cost of an item with 7% sales tax. Find the composite function (T of S)(x).Use the composition to find the final cost of...
*Tuesday, October 27, 2015 by PLEASE HELP*

**calculus**

using the squeeze theorem, find the limit as x->0 of x*e^[8sin(1/x)] what i did was: -1<=sin(1/x)<=1 -8<=8*sin(1/x)<=8 e^(-8)<=e^[8*sin(1/x)]<=e^(8) x*e^(-8)<=x*e^[8*sin(1/x)]<=x*e^(8) lim x->0 [x*e^(-8)] = 0 lim x->0 [x*e^(8)] = 0 hence...
*Tuesday, October 27, 2015 by Lid*

**CALCULUS TEST TOMORROW**

If two resistors with resistances R1 and R2 are connected in parallel, as in the figure below, then the total resistance R, measured in ohms (Ω), is given by 1 R = 1 R1 + 1 R2 . If R1 and R2 are increasing at rates of 0.3 Ω/s and 0.2 Ω/s, respectively, how fast ...
*Monday, October 26, 2015 by Anonymous*

**Calculus**

Let R be the interior of the circle 4x2 + 4y2 −4x = 0. Evaluate double integral sqrt(x^2+y^2)
*Monday, October 26, 2015 by Calculus 3*

**COLLEGE CALCULUS HELP**

If two resistors with resistances R1 and R2 are connected in parallel, as in the figure below, then the total resistance R, measured in ohms (Ω), is given by 1 R = 1 R1 + 1 R2 . If R1 and R2 are increasing at rates of 0.3 Ω/s and 0.2 Ω/s, respectively, how fast ...
*Monday, October 26, 2015 by Anonymous*

**Calculus**

A force of 6 pounds is required to hold a spring stretched 0.2 feet beyond its natural length. How much work (in foot-pounds) is done in stretching the spring from its natural length to 0.6 feet beyond its natural length? could you please explain how. thanks
*Monday, October 26, 2015 by john*

**Calculus plz help integral **

Find the integral of §x^1/2.e^xdx at upper limit of 1/2 and lower limit of zero..show work plz
*Monday, October 26, 2015 by Collins*

**Calculus help**

Solve using implicit derivative cuberoot(x)+cuberoot(xy)=4y^2
*Monday, October 26, 2015 by Collins*

**Calculus**

What is the maximum volume of a closed box with a square base which can be made by bending the material? The box is to have a surface area of 100in^2.
*Sunday, October 25, 2015 by Paige*

**Calculus**

You need to do the fencing of two side by side areas with 102 meters of wood fencing. What is the maximum area that you will be able to enclose?
*Sunday, October 25, 2015 by Taylor*

**Calculus**

Hello, Tutors! I am struggling on how to do problems related to finding the volume using integrals. Could you please help me? Any easy-to understand resources? Thank You for all your help. I am thankful for you tutors!!!!!!!
*Sunday, October 25, 2015 by Anonymous*

**Calculus**

1. Calculate the population within a 7-mile radius of the city center if the radial population density is ρ(r) = 5(5 + r2)1/3 (in thousands per square mile). (Round your answer to two decimal places.) 2. A population of insects increases at a rate 280 + 8t + 1.5t2 insects...
*Sunday, October 25, 2015 by Anonymous*

**Calculus**

What is the average value of f(x) on [0,4] if the area between the graph of f (x) and the x-axis is equal to 12? I used the average value formula and got 12. But the answer key says 3. My work: M= 1/4 [12x] interval: [0,4] 48/4=12
*Sunday, October 25, 2015 by Tiffany*

**Calculus help plz**

Using the first rule of derivative find 8(x-y)12?? And how can i solve these y^x+x^y=17,x+y=5
*Saturday, October 24, 2015 by Franklin:*

**Calculus 1**

Find the number c that satisfies the conclusion of the Mean Value Theorem on the given interval. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) f(x) = sqrt(x), [0,16]
*Saturday, October 24, 2015 by TayB*