Friday

February 27, 2015

February 27, 2015

**Recent Homework Questions About Calculus**

Post a New Question | Current Questions

**calculus**

The following definite integral can be evaluated by subtracting F(B) - F(A), where F(B) and F(A) are found from substituting the limits of integration. \int_{0}^{4} \frac{1600 x +1200 }{(2 x^2 +3 x +1)^5}dx After substitution, the upper limit of integration (B) is : and the ...
*Saturday, March 8, 2014 at 6:00pm*

**calculus**

At a summer campfire, the radius of a marshmallow on a stick expands at the rate of \ {r ' (t)} = \frac{2.4 }{3 t + 6} mm/s where t is the time of heating in seconds. Initially the radius was 3.8 mm. Find the radius after 16 seconds using the following steps: When ...
*Saturday, March 8, 2014 at 6:00pm*

**calculus**

Ice cream drips out of the bottom of an ice cream cone on a hot day at a rate of r(t) mL per second, as a child eats it slowly, where t is in seconds. If r(t) = 10 e^{-k t}, complete the definite integral expressing the quantity of ice cream lost in the first 3 minutes(s). (...
*Saturday, March 8, 2014 at 5:59pm*

**calculus**

At a summer campfire, the radius of a marshmallow on a stick expands at the rate of \ {r ' (t)} = \frac{2.1 }{1 t + 5} mm/s where t is the time of heating in seconds. Initially the radius was 3.8 mm. Find the radius after 27 seconds using the following steps: When ...
*Saturday, March 8, 2014 at 5:59pm*

**calculus**

Find the area of the region under the curve y = 16 e ^{4 x} between x = -1.4 to x =1.4 .
*Saturday, March 8, 2014 at 5:58pm*

**calculus**

A searchlight rotates at a rate of 3 revolutions per minute. The beam hits a wall located 7 miles away and produces a dot of light that moves horizontally along the wall. How fast (in miles per hour) is this dot moving when the angle \theta between the beam and the line ...
*Friday, March 7, 2014 at 7:13pm*

**calculus**

A hot air balloon rising vertically is tracked by an observer located 4 miles from the lift-off point. At a certain moment, the angle between the observer's line-of-sight and the horizontal is \frac{\pi}{3} , and it is changing at a rate of 0.1 rad/min. How fast is the ...
*Friday, March 7, 2014 at 7:00pm*

**Calculus **

for what values of r does the function y=e^rx satisfy the differential equation y''-4y'+y=0 Show steps please! Thank you!
*Friday, March 7, 2014 at 6:43pm*

**calculus**

A man of height 1.5 meters walk away from a 5-meter lamppost at a speed of 1.8 m/s. Find the rate at which his shadow is increasing in length.
*Friday, March 7, 2014 at 6:30pm*

**calculus**

A conical tank has height 3 m and radius 2 m at the top. Water flows in at a rate of 1.4 \text{m}^3\text{/min}. How fast is the water level rising when it is 2.6 m?
*Friday, March 7, 2014 at 5:53pm*

**Calculus Help Please!!! **

--- Find the slope m of the tangent to the curve y = 4 + 4x^2 − 2x^3 at the point where x = a. ---- Find equations of the tangent lines at the points (1,6) and (2,4). (1,6) Y(x)= (2,4) Y(x)=
*Friday, March 7, 2014 at 4:40pm*

**Calculus Help Please!!! **

c) Estimate the instantaneous rate of growth in 2006 by measuring the slope of the tangent line through (2005, 10237) and (2007, 15005). d) Estimate the instantaneous rate of growth in 2007 by measuring the slope of the tangent line through (2006, 12435) and (2008, 16684). e)...
*Friday, March 7, 2014 at 4:07pm*

**Calculus Help**

Find a parabola with equation y = ax^2 + bx + c that has slope 6 at x = 1, slope −14 at x = −1, and passes through the point (2, 17).
*Friday, March 7, 2014 at 2:56pm*

**Criminal justice**

1. Which of the following, according to Carl Klockars, is NOT an important consideration in determining whether the good ends of police work justify immoral means in a given scenario? A. Are there other, non-dirty, means that may be effective but that we may be overlooking? B...
*Friday, March 7, 2014 at 2:21pm*

**Calculus Please help!**

Consider the function f(x)=4sqrt(x)+4 on the interval [2,5] . Find the average or mean slope of the function on this interval _______ <---A By the Mean Value Theorem, we know there exists a c in the open interval (2,5) such that f'(c) is equal to this mean slope. For ...
*Friday, March 7, 2014 at 3:25am*

**Calculus Please help!**

f(x) -2x^3+2x^2-3x+2 Find the average slope of this function on the interval (–3–1) ________ <--A By the Mean Value Theorem, we know there exists a c in the open interval (–3–1) such that f'(c) is equal to this mean slope. Find the value of c in the ...
*Friday, March 7, 2014 at 3:23am*

**Calculus...URGENT..show steps please**

Use implicit differentiation to find the points where the parabola defined by x^{2}-2xy+y^{2}-6x+2y+17 = 0 has horizontal and vertical tangent lines. List your answers as points in the form (a,b).
*Friday, March 7, 2014 at 2:29am*

**pre-calculus**

Find the real and imaginary zeros for the following polynomial function. T(b)= 147b^3-35b^2-19b+3
*Thursday, March 6, 2014 at 12:22am*

**Math- NOT CALCULUS**

The hourly profit ($P) obtained from operating a fleet of n taxis is given by P=-2n^2+84n-45 What is the profit if 20 taxis are on the road? What is the maximum hourly profit? What number of taxis gives the max hourly profit? How much money is lost per hour if no taxis are on ...
*Wednesday, March 5, 2014 at 8:58pm*

**Pre - calculus**

Can someone please explain how to simplify this proiblem: cotx/sec^2 + cotx/csc^2
*Wednesday, March 5, 2014 at 7:59pm*

**calculus**

Find the correct values for the equation -x^3 +bx^2 +cx + d, using this information, local min x= -5, local max (1,11). Point of inflection = -2.
*Wednesday, March 5, 2014 at 11:14am*

**pre calculus**

Candy and Tim share a paper route. It takes Candy 70 min to deliver all the papers, and it takes Tim 80 min. How long does it take the two when they work together?
*Tuesday, March 4, 2014 at 12:46am*

**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?
*Tuesday, March 4, 2014 at 12:46am*

**Pre-Calculus**

Find vector a<3,2,-4> X vector b<-6, 9,0>
*Monday, March 3, 2014 at 6:15pm*

**Pre-Calculus**

Phil Dawson is a professional place kicker for the Cleveland Browns. On average, he kicks the ball at a 41 degree angle and with an initial speed of 70 feet per second. For future reference, goal posts are 10 feet high in the NFL. a) Write parametric equations to model Dawson...
*Monday, March 3, 2014 at 6:12pm*

**Pre-Calculus**

Write an equation in slope-intercept form of the line with the given parametric equations. x=t+6 y=2t-4
*Monday, March 3, 2014 at 5:48pm*

**Pre-Calculus**

Write Parametric equations of -3x+1/2y=2
*Monday, March 3, 2014 at 5:46pm*

**Pre-Calculus**

A 15N force acting at 15 degrees north of east and a 18N force acting at 79 degrees north of west act concurrently on an object. What is the magnitude and direction of a third force that produces equilibrium on the object? Show sketch and work. ------ x-component:: 15*cos(15 ...
*Monday, March 3, 2014 at 5:44pm*

**pre calculus**

solve nonlinear inequality x^4 > x^2
*Monday, March 3, 2014 at 12:38am*

**calculus**

Skeletal remains had lost 70% of the C-14 they originally contained. Determine the approximate age of the bones. (Assume the half life of carbon-14 is 5730 years. Round your answer to the nearest whole number.)
*Sunday, March 2, 2014 at 9:21pm*

**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. (I didnt put the table here because it will not display well so the table has basically t as time from 1950 to 2000 and P(t) values...
*Sunday, March 2, 2014 at 6:57pm*

**Pre-Calculus**

Find N if log base 6 (6^7.8)=N
*Sunday, March 2, 2014 at 5:51pm*

**Pre-Calculus**

Phil Dawson is a professional place kicker for the Cleveland Browns. On average, he kicks the ball at a 41 degree angle with an initial speed of 70 feet per second. For future reference, goal posts are 10 feet high in the NFL. a) Write parametric equations to model Dawson'...
*Friday, February 28, 2014 at 8:56pm*

**Pre-Calculus**

Write Parametric equations of -3x+1/2y=2
*Friday, February 28, 2014 at 8:49pm*

**Pre-Calculus**

Jake serves a volleyball with an initial velocity of 32 feet per second from 4.5 feet above the ground at an angle 0f 35 degrees. a) Write parametric equations to model the situation. b) How far will the ball travel( if it hits the ground)show work
*Friday, February 28, 2014 at 8:47pm*

**Calculus Please help!**

The linearization at a=0 to sqrt(1+2x) is A+Bx where A is____ and where B is _____? A=? B=? Ty
*Friday, February 28, 2014 at 8:20pm*

**Calculus Please help!**

The differential of the function y=(x^2+6)^3 is dy=______dx. When x=2 and dx=0.05, the differential dy=_______? A) dy=______dx? B) the differential dy=_______?
*Friday, February 28, 2014 at 8:19pm*

**Calculus Please help!**

Gravel is being dumped from a conveyor belt at a rate of 30 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always the same. How fast is the height of the pile increasing when the pile is 24 feet high? Recall that...
*Friday, February 28, 2014 at 3:10pm*

**Calculus Please help!**

At noon, ship A is 50 nautical miles due west of ship B. Ship A is sailing west at 18 knots and ship B is sailing north at 23 knots. How fast (in knots) is the distance between the ships changing at 3 PM? (Note: 1 knot is a speed of 1 nautical mile per hour.)
*Friday, February 28, 2014 at 3:02pm*

**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...
*Friday, February 28, 2014 at 2:51pm*

**Calculus Help**

Use f(x)= 1/(square root(x)+1) to answer the following; -- Use the difference quotient f'(x)=lim z->x (f(x)-f(z))/ (x-z) to find f'(x)! Please show steps!!! Thank you!!!
*Friday, February 28, 2014 at 12:31pm*

**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|
*Friday, February 28, 2014 at 3:32am*

**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*

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