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February 1, 2015

February 1, 2015

**Recent Homework Questions About Calculus**

Post a New Question | Current Questions

**Calculus**

q = f(p) = 10300e^−0.34p a) Find the number of products sold when the price of the product is $5. (Round your answer to the nearest whole number.) Number of products sold: b) Find a formula for the rate of change in the number of products sold when the price is p dollars...
*Thursday, February 27, 2014 at 10:11pm*

**Calculus Help**

Let P(t) be the percentage of Americans under the age of 18 at time t. The table gives values of this function in census years from 1950 to 2000. How would it be possible to get more accurate values for P'(t).
*Thursday, February 27, 2014 at 5:06pm*

**calculus**

Find the asymptote, interval of monotonicity, critical points, the local extreme points, intervals of concavity and inflection point of the following functions. Sketch the graph. f(x)= x^2-6x/(x+1)^2
*Thursday, February 27, 2014 at 2:47pm*

**calculus **

Find the asymptote, interval of monotonicity, critical points, the local extreme points, intervals of concavity and inflection point of the following functions. Sketch the graph. a)f(x)=|x2 +x-2|
*Thursday, February 27, 2014 at 2:43pm*

**calculus I**

Find the dimension of the right circular cylinder of the largest volume that can inscribed in a Sphere of radius 10 units.
*Thursday, February 27, 2014 at 11:48am*

**Business Math**

A local Barnes and Noble paid a $79.33 net price for each calculus textbook. The publisher offered a 10% trade discount. What was the publisher’s list price? (Round your answer to the nearest cent.)
*Thursday, February 27, 2014 at 1:14am*

**math- calculus**

You will often see proj (Vector a onto Vector b) written as projb⃗ a⃗ .Show that projb⃗ a⃗ =(a⃗ ⋅b⃗/ b⃗ ⋅b⃗ )*b⃗ .
*Wednesday, February 26, 2014 at 8:11pm*

**ap calculus.linear**

i dont clearly understand questions 1 and 2. so the question have to be A+f??? When he was young, Captain Conundrum mowed lawns on weekends to help pay his college tuition bills. He charged his customers according to the size of their lawns at a rate of 5¢ per square foot...
*Wednesday, February 26, 2014 at 3:11am*

**Calculus Help Please!!! **

if f(x)= x+(1/x), find f'(x) using the limit definition of derivative. Please show steps!!! Thank you!!!
*Tuesday, February 25, 2014 at 7:18pm*

**Calculus**

Evaluate the integral: (cos(2-3x) - tan(5-3x))dx
*Monday, February 24, 2014 at 7:23pm*

**Calculus**

A ladder 25 feet long that was leaning against a vertical wall begins to slip. Its top slides down the wall while its bottom moves along the lever ground at a constant speed of 4 ft/sec. How fast is the top of the ladder moving when it is 20 feet above the ground?
*Monday, February 24, 2014 at 4:13pm*

**calculus**

h(t)=tan theta (5pie/3,3pie) graph the function on the given interval
*Monday, February 24, 2014 at 3:12pm*

**calculus**

Consider the function f(x)=x^n for positive integer values of n. (a) For what values of n does the function have a relative minimum at the origin? (b) For what values of n does the function have a point of inflection at the origin?
*Monday, February 24, 2014 at 2:27am*

**calculus**

h(t) = -1/3t^3 + 4t^2 + 20t +2, f or >- 2
*Sunday, February 23, 2014 at 7:13pm*

**calculus**

Find the slope of the tangent line to the graph y = x-3 at the point (0.5, 8). Answer -48 -12 4 16
*Sunday, February 23, 2014 at 3:00pm*

**calculus**

Describe the slope of the tangent line to the curve defined by x 2 + xy - y 2 = 5 when x = 2. positive negative zero undefined
*Sunday, February 23, 2014 at 2:31pm*

**calculus**

Find the equation of the tangent line to the ellipse x 2 + 4y 2 = 25 when x = 3 and y < 0. Answer 3x - 8y = 7 3x - 8y = 25 3x + 8y = 7 3x + 8y = 25
*Sunday, February 23, 2014 at 2:25pm*

**calculus**

Solve for x: r(x)=ln (x+2/x-1)
*Sunday, February 23, 2014 at 1:04pm*

**Pre-calculus**

C=80,000p/(100-p) A)what happens of the company tries to remove 100 percent of the pollutants? Will it work or will it cost too much? B)draw a diagram to show what the consequences of the last question would be. Label the verticals asymptote(s) and analyze their impact on the ...
*Friday, February 21, 2014 at 11:39pm*

**Calculus Please help!**

If 7000 dollars is invested in a bank account at an interest rate of 7 per cent per year. A) Find the amount in the bank after 6 years if interest is compounded annually? B) Find the amount in the bank after 6 years if interest is compounded quaterly? C) Find the amount in the...
*Friday, February 21, 2014 at 11:29pm*

**Calculus Please help!**

Use implicit differentiation to find the slope of the tangent line to the curve at the point (1,3) -4x^2+4xy-2y^3=-46 m=____? ty guys so much!
*Friday, February 21, 2014 at 11:27pm*

**Calculus**

¡ìdx/(x^2-1)^2
*Friday, February 21, 2014 at 10:30am*

**Calculus**

¡ì(up:1 down:0) (x^3 dx)/(x^2+2x+1)
*Friday, February 21, 2014 at 9:46am*

**Calculus**

y"-y'=sin x solve in undetermined coefficients
*Friday, February 21, 2014 at 7:47am*

**Calculus**

xy'-y=2xlnx
*Thursday, February 20, 2014 at 10:20pm*

**Calculus**

lim([-1/(x+2)]+1/2)/x as x->0
*Thursday, February 20, 2014 at 6:11pm*

**calculus**

#3 A solid has a base in the form of the ellipse: x^2/25 + y^2/16 = 1. Find the volume if every cross section perpendicular to the x-axis is an isosceles triangle whose altitude is 6 inches. #4 Use the same base and cross sections as #3, but change the axis to the y-axis.
*Thursday, February 20, 2014 at 3:19pm*

**Math (pre calculus)**

ax+b/cx+d=2 solve for x
*Thursday, February 20, 2014 at 12:58pm*

**calculus**

ax+b/cx+d=2 solve for x
*Thursday, February 20, 2014 at 12:32pm*

**Calculus**

x dy/dx +2y=1
*Thursday, February 20, 2014 at 10:10am*

**calculus**

Surface area of revolution y=(x^3)+3 about the x-axis from (0,1)
*Wednesday, February 19, 2014 at 8:14pm*

**Calculus Help **

The formula C =5/9(F − 32), where F ≥ −459.67, expresses the Celsius temperature C as a function of the Fahrenheit temperature F. Find a formula for the inverse function. What is the domain of the inverse function? (Enter your answer using interval notation.)
*Wednesday, February 19, 2014 at 4:48pm*

**Finite Math and Applied Calculus **

Betty Sue sets up a retirement account. For the first 35 years, she deposits $500 at the end of each month into an account with an annual interest rate of 3.6%, compounded monthly. Then, she stops making monthly payments and transfers the money into a different account ...
*Wednesday, February 19, 2014 at 3:02pm*

**Calculus**

Integral of dx/{(x+1)sqrt(x^2+4x+2)} is given as -arcsinh{(x+2)/(xsqrt3)}, but I am not getting it.? The hint given is 'Put 1/(x+1)=t' Using it, the expression reduces to Int. -1/sqrt(1+2t-t^2). How to proceed further to get the desired result?
*Wednesday, February 19, 2014 at 2:30am*

**Calculus**

A holding pen for fish is to be made in the form of a rectangular solid with a square base and open top. The base will be slate that costs $4 per square foot and the sides will be glass that costs $5 per square foot. If the volume of the tank must be 50 cubic feet, what ...
*Monday, February 17, 2014 at 10:47pm*

**Calculus**

The half-life of radioactive strontium-90 is approximately 31 years. In 1960, radioactive strontium-90 was released into the atmosphere during testing of nuclear weapons, and was absorbed into people's bones. How many years does it take until only 11 percent of the ...
*Monday, February 17, 2014 at 9:35pm*

**Calculus II - Trapezoidal Rule **

Find the error resulting from approximation by Trapezoidal Rule: integral (from 0 to 1) sqrt(1+ x^3) dx .... compute the results for n=8
*Monday, February 17, 2014 at 5:01pm*

**Calculus**

I need help finding the derivative of √3x/(x^2-4) at x=3
*Monday, February 17, 2014 at 4:59pm*

**Calculus II - Simpson's Rule **

Find the Error resulted from approximation by Simpson's Rule: integral (from 0 to 1) sqrt( 1+x^3) dx ... compute the result for n=8
*Monday, February 17, 2014 at 4:59pm*

**Calculus II**

show that; given any three non-collinear points (x1,y1), (x2,y2), (x3,y3) there is a parabola p(x)=Ax^2+ Bx + c , containing the three points.
*Monday, February 17, 2014 at 2:14pm*

**Calculus, Surface Area Pt.2**

The base costs 0.9 cents/square cm, the front costs 0.8 cents/square cm and the sides and back cost 1.3 cents/square cm. The cost of the material to make the box is : Cost = ?
*Monday, February 17, 2014 at 11:13am*

**Calculus, Surface Area Pt.2**

The base costs 0.9 cents/square cm, the front costs 0.8 cents/square cm and the sides and back cost 1.3 cents/square cm. The cost of the material to make the box is : Cost = ?
*Monday, February 17, 2014 at 11:12am*

**Calculus, Surface Area**

An open rectangular box (no top) has a square base with side 10 cm and height 16 cm. The surface area is:
*Monday, February 17, 2014 at 11:09am*

**Calculus**

integral(8&4) y dy/(y^2-2y-3)
*Monday, February 17, 2014 at 7:57am*

**Calculus**

What is the integral of [(2x-y)^2]dx?
*Sunday, February 16, 2014 at 10:43pm*

**Calculus**

What is the integral of [(2x-y)^3]dx?
*Sunday, February 16, 2014 at 10:28pm*

**Calculus**

Sorry for all of the questions.. if f'(x) exists for all x and f(-1)=-12 and f(5)=12, then for at least one value of c where -1<c<5, what must be true? a) f'(c)=4 b) f'(c)=-4 c)f(c)=14 d)f(c)=-14 e) f'(c^2)=64
*Sunday, February 16, 2014 at 11:53am*

**Calculus**

A car traveling at 72 mph starts braking and decelerates at a constant rate. the car takes 1/9 of a mile to stop. Find, to the nearest half-second, how long it took the car to cover the 1/9 of a mile. I don't need the whole thing done. Just don't know how to start!
*Sunday, February 16, 2014 at 11:37am*

**Calculus**

The figure at the right consists of a rectangle topped by an isosceles right triangle. The area of the figure is 200 sq. feet. The minimum perimeter of the figure is ___ft.
*Sunday, February 16, 2014 at 11:24am*

**pre calculus **

Slove: 2logbase5(x+2) = 2 + log base5(x-2)
*Saturday, February 15, 2014 at 8:53pm*

**Calculus**

Line l is tangent to the graph of y= x - x²/500 at point Q & it crosses the y-axis at (0, 20) a). Find the x-coordinate of point Q b. Write an equation for line l c) Suppose the graph of y=x-x^2/500, where x and y are measured in feet, represents a hill. There is a 50-...
*Saturday, February 15, 2014 at 6:25pm*

**Calculus 3**

If the curve of intersection of the parabolic cylinder y = x^2 and the top half of the ellipsoid x^2 + 5y^2 + 5z^2 = 25. Then find parametric equations for this curve.
*Saturday, February 15, 2014 at 1:05am*

**Calculus**

How to find x-intercepts from x(x-2)(x+2)?
*Friday, February 14, 2014 at 1:48pm*

**Calculus**

Let h(x) = 5g(x) - 3x^2 + 2 sin(x) - 7x, and suppose g'(0) = 2, find h'(0)
*Thursday, February 13, 2014 at 11:47pm*

**Calculus**

The position of a function of a moving particle is s(t)=5+4t-t^2 for 0<t<10 where s is in meters and t is measured in seconds. What is the maximum speed in m/sec of the particle on the interval [0,10]?
*Thursday, February 13, 2014 at 3:03pm*

**Calculus**

Let f be the function defined by f(x)=x^3 + x. If g(x)= the inverse of f(x), and g(2)=1, what is the value of g'(2)?
*Thursday, February 13, 2014 at 3:00pm*

**Calculus-Help Please**

Find a function f(x), perhaps a piecewise function that is defined but not continuous on (-infinity, infinity) for which the function lf(x)l is both defined and continuous on (-infinity, infinity). f(x)= lf(x)l =
*Wednesday, February 12, 2014 at 2:14pm*

**Calculus I**

If x^2+y^2=25, find dy/dt when x=3 and dx/dt= -8.
*Wednesday, February 12, 2014 at 9:57am*

**Calculus I**

Let A be the area of a circle with radius r that is increasing in size with respect to time. If the rate of change of the area is 8 cm/s, find the rate of change of the radius when the radius is 3 cm.
*Tuesday, February 11, 2014 at 1:38pm*

**Calculus (Math)**

Integral of (cot4x)^5 (csc4x)^7
*Tuesday, February 11, 2014 at 12:18am*

**calculus**

3. Plot f(x) =ln(x) and f’(x) = 1/x in your calculator. Remembering that the derivative of f(x) is the instantaneous rate of change of f(x) why does it make sense that 1/x is the derivative of ln(x)?
*Monday, February 10, 2014 at 6:36am*

**pre calculus **

The age of a document is in dispute, so archaeologists test for carbon-14. Due to radioactive decay, the amount A of carbon -14 present compared to the initial amount A0 after t years is given by the formula A(t) = A0e^-0.000124t . If 72% of the original amount of carbon- 14 ...
*Saturday, February 8, 2014 at 11:06pm*

**pre calculus **

A sum of $5000 is be invested in a bank. if the annual interest is 10% and compounded monthly, how long will it take for the original investment to double.
*Saturday, February 8, 2014 at 10:57pm*

**pre calculus **

Which is worth more after 5 years, an investment of $1000 at 5% interest compounded semi - annually(twice a year). or an investment of $1000 at 5% interest compounded continuously?
*Saturday, February 8, 2014 at 10:03pm*

**Calculus Help**

If a ball is thrown vertically upward from the roof of 64 foot building with a velocity of 32 ft/sec, its height after t seconds is s(t)=64+32t–16t2. What is the maximum height the ball reaches "in ft"? What is the velocity of the ball when it hits the ground (...
*Saturday, February 8, 2014 at 1:01am*

**Calculus 3**

Find the center of the ellipsoid x^2+4y+2z^2+2x-4y+z = 20 I'm having trouble factoring to get the center points. Can someone please help. This is where I'm stuck. (x^2+2x+1)+4(y^2-y+1/4)+2(x^2+1/2z+1/16)=20+1+1+1/8 (x+1)^2+ Now I don't know how to get the y ...
*Friday, February 7, 2014 at 3:45pm*

**grade 12 calculus and vectors**

Determine the average rate of change form x = 1 to x = 4 for each function. a) y= x b) y=x^2 c) y=x^3 d) y=7
*Thursday, February 6, 2014 at 5:07pm*

**calculus**

Evaluate the limit as x approaches 0 of [tan(x+Δx)-tan(x)] /Δx: sec^ 2 (x) cot (x) sec (x) does not exist
*Thursday, February 6, 2014 at 1:18pm*

**calculus**

Suppose f (1) = 2, f ΄(1) = 3, g(1) = 5, and g΄(1) = -4. Evaluate (f g)΄v at x = 1. Answer -12 7 10 23
*Thursday, February 6, 2014 at 1:14pm*

**calculus**

If limit as delta x approaches 0 of tan(0+Δx)-tan(0)/Δx =1 which of the following is false: d/dx [tanx]=1 the slope of y = tan(x) at x = 0 is 1 y = tan(x) is continuous at x = 0 y = tan(x) is differentiable at x = 0
*Thursday, February 6, 2014 at 12:56pm*

**calculus**

Suppose h(x) = f (g(x)) and the graphs of f and g are shown below. Describe the continuity of h at x = 0. how would you do this if you were given two graphs: F--- discontinuity at -2,0; point at -1,1; and point at 0,0 (to make a parabola) then discontinuity at 0,-1; and then ...
*Thursday, February 6, 2014 at 12:49pm*

**Math (pre calculus)**

please simplify (1/1+x+h) - (1 /1+x ) divided by h
*Thursday, February 6, 2014 at 1:49am*

**pre calculus **

Simplify the rational expression 3 (1 + x)^1/3 - x (1 + x)^-2/3 divided by (1 + x)^2/3
*Thursday, February 6, 2014 at 1:44am*

**Math (pre calculus)**

State whether the given equation is true for all values of the variables (disregard any value that makes a denominator zero) equation one (2/ 4 + x) = (1/2) + (2/x) equation two (1 + x + x^2 / x) = (1/x) + 1 + x
*Thursday, February 6, 2014 at 1:41am*

**Calculus**

A trough is 15 ft long and 4 ft across the top, as shown in the figure. Its ends are isosceles triangles with height 3 ft. Water runs into the trough at the rate of 2.5 ft^3/min. How fast is the water level rising when it is 2 ft deep?
*Thursday, February 6, 2014 at 1:02am*

**Pre-Calculus**

A certain sum of money is invested in a business. in each year this investment earns 1 1/2 times as much as in the preceding year. If the investment earned a total of $29,250.00 in four years, how much did it earn in the fourth year?
*Wednesday, February 5, 2014 at 7:22pm*

**calculus**

Which of the following best describes the limit as x approaches 4 of the quotient of 2 times x divided by the quantity negative 2 plus square root of x ? It exists and equals 4 It fails to exist because it is unbounded. It fails to exist because its one-sided limits are not ...
*Wednesday, February 5, 2014 at 6:58pm*

**calculus**

It is known that x 2 + 4x ≤ f(x) ≤ -x 2 -4x the interval [-4, 0]. Use the Squeeze Theorem to evaluate the limit as x approaches negative 2 of f of x. -4 0 4 Squeeze Theorem does not apply
*Wednesday, February 5, 2014 at 6:58pm*

**calculus**

Suppose f of x equals 3 times x minus k when x is less than 5 and equals 1 plus k times x when x is greater than or equal to 5.Find the value of k that would make f continuous at x = 5. -3 0 7/3 no such k will make f continuous
*Wednesday, February 5, 2014 at 6:57pm*

**calculus**

At a constant temperature, the pressure, P, and volume, V, of a trapped gas have the relationship P equals the quotient of k divided by V , where k is some positive constant. What occurs if the volume is compressed such that V → 0+? The pressure increases without bound. ...
*Wednesday, February 5, 2014 at 6:56pm*

**Calculus 2**

Find Mx, My, and (x, y) for the laminas of uniform density ρ bounded by the graphs of the equations. y=sqrt(x)+4 y=(1/2)x+4 The I keep getting 20/3 for Mx but webassign acts like it is wrong.
*Wednesday, February 5, 2014 at 1:51pm*

**calculus**

At midnight, ship B was 90 km due south of ship A. Ship A sailed east at 15 km/hr and ship B sailed north at 20 km/hr. At what time were they closest together?
*Wednesday, February 5, 2014 at 10:38am*

**calculus**

At midnight, ship B was 90 km due south of ship A. Ship A sailed east at 15 km/hr and ship B sailed north at 20 km/hr. At what time were they closest together?
*Wednesday, February 5, 2014 at 10:35am*

**Calculus**

I'd really like some help in solving an integral. ʃ 1/ √x (1-3√x) In numerator: 1 In denominator: the square root of x times 1 minus 3 times the square root of x The answer given is -2/3 ln l1-3√xl + C but I don't know how to get there.
*Wednesday, February 5, 2014 at 12:05am*

**CALCULUS 2**

Use calculus to find the volume of the following solid S: The base of S is an elliptical region with boundary curve 9x^2+4y^2=36. Cross-sections perpendicular to the x-axis are isosceles right triangles with hypotenuse in the base.
*Tuesday, February 4, 2014 at 10:47pm*

**Calculus**

A steady wind blows a kite due west. The kite's height above ground from horizontal position x = 0 to x = 60 ft is given by the following. y= 155-(1/40)(x-50)^2 Find the distance traveled by the kite.
*Tuesday, February 4, 2014 at 10:27pm*

**Calculus**

A steady wind blows a kite due west. The kite's height above ground from horizontal position x = 0 to x = 60 ft is given by the following. y= 155-(1/40)(x-50)^2
*Tuesday, February 4, 2014 at 10:09pm*

**Calculus**

Use Simpson's Rule with n = 10 to estimate the arc length of the curve. y = tan x, 0 < x < π/9
*Tuesday, February 4, 2014 at 10:08pm*

**calculus**

Use the principles of translating and reflecting to graph the function f(x)=(x-5)^3 +2
*Tuesday, February 4, 2014 at 1:27am*

**pre calculus**

determine the order of magnitude for the following: 1. a $1 bill and a dime 2. two products scored a PH level of 6.1 and 4.o I can't figure out #1… but I did get #2 to be 10^2.1 Please help with #1 and check to see I did #2 right?
*Monday, February 3, 2014 at 4:25pm*

**calculus**

y= -5x + 4 OVER 10 - 5x find the asymptotes of the function
*Monday, February 3, 2014 at 1:37am*

**Calculus II**

Solve the initial value problem using Taylor Series and the following conditions: y'(t) = y(t) + 2t y(0) = A
*Sunday, February 2, 2014 at 11:01pm*

**CALCULUS PLEASE HELP!!!**

SHOW WORK PLEASE!!! The displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equation of motion s = 2 sin πt + 3 cos πt, where t is measured in seconds. (Round your answers to two decimal places.) (a) Find the ...
*Sunday, February 2, 2014 at 8:12pm*

**calculus**

In a lab experiment 8 grams of acid were produced in 28 minutes and 17 grams in 47 minutes. Let g be the number of grams and m be the number of minutes. Find a linear equation that you could use to calculate g for any number of minutes.
*Sunday, February 2, 2014 at 3:28am*

**Calculus & Vectors**

A search and rescue aircraft, travelling at a speed of 240 km/h starts out at a heading of N 20 degrees West. After travelling for 1h and 15 min, it turns to a heading of N 80 degrees E and continues for another two hours before returning to base. Find the total distance the ...
*Saturday, February 1, 2014 at 6:10pm*

**calculus**

The rabbit population on a small island is observed to be given by the function P(t)=120t−0.4t4+700 where t is the time (in months) since observations of the island began.
*Saturday, February 1, 2014 at 5:28pm*

**CALCULUS**

Find a formula for the inverse of the function. y=x^2-x, x>=(greater than or equal to) 1/2 Please give me a step by step explanation. I think my algebra is wrong... Ty
*Saturday, February 1, 2014 at 9:16am*

**calculus**

Four out of five days were used to create a problem, how many days will it take to solve it?
*Saturday, February 1, 2014 at 8:21am*

**calculus**

Four out of five days were used to create a problem, how many day will it take to solve it?
*Saturday, February 1, 2014 at 8:21am*

**integral calculus**

Evaluate the limit limit gose from x to 4 (x/x-4)integral from x to 4
*Friday, January 31, 2014 at 10:04pm*

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