Thursday
August 27, 2015

# Homework Help: Math: Calculus

## Recent Homework Questions About Calculus

Calculus
This is a question related to L'hopital's rule. lim x -> -infinity of ((x)(e^x)) This thing is weird because I apply l'hopital's rule yet I never receive the correct answer which is supposedly = 0. It just stays in the form [-infinity * -infinity]. Anyone ...
Saturday, November 8, 2014 by Joshua

Calculus (math)
A boat leaves a dock at 2:00 P.M. and travels due south at a speed of 15 km/h. Another boat has been heading due east at 20 km/h and reaches the same dock at 3:00 P.M. How many minutes past 2:00 P.M. were the boats closest together?
Saturday, November 8, 2014 by Olivia

calculus
A large container has the shape of a frustum of a cone with top radius 5 m, bottom radius 3m, and height 12m. The container is being filled with water at the constant rate 4.9 m^3/min. At what rate is the level of water rising at the instant the water is 2 deep? the finial ...
Saturday, November 8, 2014 by Jennifer

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

Calculus
A large container has the shape of a frustum of a cone with top radius 5 m, bottom radius 3m, and height 12m. The container is being filled with water at the constant rate 4.9 m^3/min. At what rate is the level of water rising at the instant the water is 2 deep?
Friday, November 7, 2014 by Jennifer

Calculus (math)
A painting in an art gallery has height h and is hung so its lower edge is a distance d above the eye of an observer (as in the figure). How far from the wall should the observer stand to get the best view? (In other words, where should the observer stand so as to maximize the...
Friday, November 7, 2014 by mariel

Calculus (math)
A boat leaves a dock at 2:00 P.M. and travels due south at a speed of 15 km/h. Another boat has been heading due east at 20 km/h and reaches the same dock at 3:00 P.M. How many minutes past 2:00 P.M. were the boats closest together?
Friday, November 7, 2014 by mariel

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

Calculus
When estimating distances from a table of velocity data, it is not necessary that the time intervals are equally spaced. After a space ship is launched, the following velocity data is obtained. Use these data to estimate the height above the Earth's surface at 120 seconds...
Thursday, November 6, 2014 by John James

Calculus
Can someone please walk me through the steps, I am just not sure what to do next. thanks Solve the optimization problem. Minimize F = x^2 + y^2 subject to xy^2 = 16 I took the derivative F = 2x + 2Y but I don't know where to go from here.
Thursday, November 6, 2014 by Jennifer

Calculus-Newton Method Approximation
1/ 3(x^3) + 1/2(x^2) + 1 = 0, x1 = −3 newtons way to the 4th decimal
Thursday, November 6, 2014 by Help

Calculus
d/dx[(3x^2+2•sqrt of x)/x]=? Is it 3-(1/(x•sqrt of x))?
Thursday, November 6, 2014 by Anonymous

Calculus
fence 3 feet tall runs parallel to a tall building at a distance of 7 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?
Thursday, November 6, 2014 by Anonymous

Calculus
Find the derivatives of the following 18. y=〖cos〗^4 x^4 ANSWER: tanx2 19. y= sinx/(1+ 〖cos〗^2 x) ANSWER: 3sinx 20. y=sinx(sinx+cosx) ANSWER: sinx Can you check my answers?
Thursday, November 6, 2014 by StevE

Calculus
Please check, if there is something wrong please explain what I did wrong. Thank you! Calculate the d^2y/dx^2. y= e^-x + e^x y' = e^x - e^-x y'' = e^x + e^-x Find the x-coordinace of all critical points of the given function. determine whether each critical point ...
Thursday, November 6, 2014 by Jade

Calculus
Match the rule with the title: ____ 3. d/dx [f(x)/g(x) ]=(g(x) f^' (x)-f(x) g^' (x))/[g(x)]^2 ____ 4. d/dx [f(g(x))]=f^' (g(x))∙g'(x) ____ 5. d/dx [f(x)∙g(x)]= f(x) g^' (x)+g(x) f^' (x) ____ 6.d/dx [x]=1 ____ 7. d/dx [f(x)+g(x)]= f^' (x...
Thursday, November 6, 2014 by MIMI

Calculus URGENT
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) = √x [0, 9] c=? I've tried quite a few different answers
Thursday, November 6, 2014 by G-Dogg

Calculus: Help Me
The manager of a large apartment complex knows from experience that 120 units will be occupied if the rent is 294 dollars per month. A market survey suggests that, on the average, one additional unit will remain vacant for each 7 dollar increase in rent. Similarly, one ...
Wednesday, November 5, 2014 by Alessandra

Calculus
A fence 3 feet tall runs parallel to a tall building at a distance of 7 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 5, 2014 by Alessandra

Calculus
If 2300 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box. Volume = i know it's in cubic centimeters. but i'm getting my values wrong
Wednesday, November 5, 2014 by Alessandra

calculus
How do I use the product rule to find the derivative of the following. y=(x+1)(3square root x+7) y'= Please help
Wednesday, November 5, 2014 by Duane

Calculus I
Any help on how to solve this? The range of a projectile launched at an angle θ from the ground with velocity v0 is given by R(θ) = [v0^2 sin 2(θ)]/9.81 . If the projectile is launched at an angle of θ = π/6, use differentials to approximate the ...
Wednesday, November 5, 2014 by Anonymous

Very confused with this question. Amy help would be appreciated. The ideal gas law states that P V = nRT where P is the pressure in atmospheres, V is the volume in litres, n is the number of moles, R = 0.082 L·atm/K·mol is the gas constant, and T is the ...
Tuesday, November 4, 2014 by Anonymous

Calculus
Draw a diagram to show that there are two tangent lines to the parabola y=x^2 that pass through the point (0,-4). Find the coordinates of the points where these tangent lines intersect the parabola. So far I have taken the derivative and got y'=2x.. Using point slope form ...
Tuesday, November 4, 2014 by Anonymous

Calculus
Show that the curve y=6x^3+5x-3 has no tangent line with slope 4. The answer key says that m=y'=18x^2+5, but x^2 is greater than or equal to 0 for all x, so m is greater than or equal to 5 for all x. I don't understand that x^2 is greater than or equal to zero. Where ...
Tuesday, November 4, 2014 by Anonymous

Calculus
2. For what values of x dies the graph of f(x)=2x^3-3x^2-6x+87 have a horizontal tangent? My answer: (1.6,77.9) (-0.62, 89.1)
Tuesday, November 4, 2014 by Anonymous

Calculus
1. On what interval is the function f(x)=x^3-4x^2+5x concave upward? My answer: (4/3, infinity) ?????
Tuesday, November 4, 2014 by Anonymous

calculus
the position of a particle moving along a coordinate line is s=√(1+4t) , with s in metres and t in seconds. Find the particle's velocity and acceleration at t=6 sec
Tuesday, November 4, 2014 by zizi

Calculus
Use Newton's method with the specified initial approximation x1 to find x3, the third approximation to the root of the given equation. (Round your answer to four decimal places.) 1/3x^3 + 1/2x^2 + 8 = 0, x1 = −3 I got -3.4808, but it's wrong. Help?
Tuesday, November 4, 2014 by Benny

Calculus
A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y= 6-x^2. What are the dimensions of such a rectangle with the greatest possible area?
Tuesday, November 4, 2014 by Alessandra

Calculus
Find the point on the line 6 x + 4 y - 1 =0 which is closest to the point ( 0, -1 ).
Tuesday, November 4, 2014 by Alessandra

calculus
A manufacturer of hospital supplies has a uniform annual demand for 80,000 boxes of bandages. It costs $10 to store one box of bandages for one year and$160 to set up the plant for prduction. Haw many times a year should the company produce boxes of bandages in order to ...
Tuesday, November 4, 2014 by Anonymous

f(x) = \frac{ x^3 }{ x^2 - 25 } defined on the interval [ -18, 18 ]. Enter points, such as inflection points in ascending order, i.e. smallest x values first. Enter intervals in ascending order also. The function f(x) has vertical asympototes at (? )and (?) . f(x) is concave ...
Tuesday, November 4, 2014 by Anonymous

Calculus
Given f(2)=5, f'(2)=-1 find the value of d/dx[1/sqrt(f(2x))] when x=1
Tuesday, November 4, 2014 by Anonymous

Calculus
1. On what interval is the function f(x)=x^3-4x^2+5x concave upward? 2. For what values of x dies the graph of f(x)=2x^3-3x^2-6x+87 have a horizontal tangent? Is there no solution because the equation can't be factored? 3. At what point on the curve y=1+2e^x - 3x is the ...
Tuesday, November 4, 2014 by Anonymous

Calculus
Let f(x) = 2x^{3}+9. Find the open intervals on which f is increasing (decreasing). Then determine the x-coordinates of all relative maxima (minima). 1. f is increasing on the intervals: 2. f is decreasing on the intervals: 3. The relative maxima of f occur at x = 4. The ...
Tuesday, November 4, 2014 by Daniel

Calculus
Two lovers have a spat and swear they will never see each other again. The girl walks due south at 6 mph while the boy walks at 10 mph on a heading of North 60 degrees West. How fast is the distance between them changing 30 minutes later?
Monday, November 3, 2014 by Anonymous

Calculus
Your firm offers to deliver 250 tables to a dealer, at $160 per table, and to reduce the price per table on the entire order by 50 cents for each additional table over 250. Find the dollar total involved in the largest possible transaction between the manufacturer and the ... Monday, November 3, 2014 by Jose calculus A spotlight on the ground is shining on a wall 24m away. If a woman 2m tall walks from the spotlight toward the building at a speed of 1.2m/s, how fast is the length of her shadow on the building decreasing when she is 4m from the building? Monday, November 3, 2014 by Julia Calculus Find all relative extrema. Use the Second Derivative Test where applicable. f(x)= cosx - x (0,2ð) Monday, November 3, 2014 by Jessica Calculus find the intervals on which f(x) is increasing and decreasing along with the local extrema. f(x)=x^4 + 18x^2 I took the derivative and got: f'(x)= 4x^3 + 36x When I set this to zero, I get the imaginary number 3i. I can't get test values for an imaginary numbers, so I ... Monday, November 3, 2014 by Leah Pre calculus Find the rectangular equation for the given polar coordinates: R=(7/(5+4sin theta)) Monday, November 3, 2014 by Anonymous Calculus The function f(x) = 5x sqrt x+2 satisfies the hypotheses of the Mean Value Theorem on the interval [0,2]. Find all values of c that satisfy the conclusion of the theorem. How would you use the MVT? I tried taking the derivative, in which resulted in 5sqrtx+2 + (5x/2sqrtx+2) ... Monday, November 3, 2014 by Ailee Calculus Determine the equation of the tangent line at the indicated -coordinate. f(x) = e^(-0.4x) * ln(18x) for x= 3 The equation of the tangent line in slope-intercept form is Sunday, November 2, 2014 by Zoey Calculus I Semelparous organisms breed only once during their lifetime. Examples of this type of reproduction strategy can be found with Pacific salmon and bamboo. The per capita rate of increase, r, can be thought of as a measure of reproductive fitness. The greater r, the more ... Sunday, November 2, 2014 by Ian calculus integration of x^2/(x+3)sq.root of 3x+4 w.r.t. x Sunday, November 2, 2014 by Anonymous Calculus Use the product rule to find the derivative of the following. k(t)=(t^2-4)^2 k'(t)= Sunday, November 2, 2014 by Duane Calculus A rocket is fired vertically into the air at the rate of 6 miles/min. An observer on the ground is located 4 miles from the launching pad. When the rocket is 3 miles high, how fast is the angle of elevation between the rocket and the observer changing? Specify units. Sunday, November 2, 2014 by Paula Calculus Wheat is poured through a chute at the rate of 10 ft^3/min and falls in a cone-shaped pile whose bottom radius is always half its height. How fast is the height of the cone increasing when the pile is 8 feet high? Volume of a cone=1/3(pi)r^2h Sunday, November 2, 2014 by Vincent Calculus Two lovers have a spat and swear they will never see each other again. The girl walks due south at 6 mph while the boy walks at 10 mph on a heading of North 60 degrees West. How fast is the distance between them changing 30 minutes later? Sunday, November 2, 2014 by Marie Calculus An ant is walking along the curve x^2+xy+y^2=19. If the ant is moving to the right at the rate of 3 centimeters/second, how fast is the ant moving up or down when the ant reaches the point (2,3)? Specify direction. Sunday, November 2, 2014 by Anonymous Calculus A stone is thrown into a calm pond and circular ripples are formed at impact. If the radius expands at the rate of 0.5 feet/second, how fast is the circumference and the area of the ripples growing when the radius is 3 feet? Sunday, November 2, 2014 by Vincent Calculus A right circular cylinder is changing shape. The radius is decreasing at the rate of 2 inches/second while its height is increasing at the rate of 5 inches/second. When the radius is 4 inches and the height is 6 inches, how fast is the a) volume changing (V=(pi)r^2h) b) ... Sunday, November 2, 2014 by Sara Calculus A rectangle is 2 feet by 15 inches. Its length is decreasing by 3 inches/minute and its width is increasing at 4 inches/minute. How fast is the a) perimeter changing b) area changing Sunday, November 2, 2014 by Anonymous Calculus In 1907 Kennelly developed a simple formula for predicting an upper limit on the fastest time that humans could ever run distances from 100 yards to 10 miles. His formula given by t=.0588s^1.125 where s is the distance in meters and t is the time to run the distance is seconds... Saturday, November 1, 2014 by Duane Calculus Assume that a demand equation is given by q=9000-100p. Find the marginal revenue for the given production levels. a. 500 Units the marginal revenue at 500 units is Saturday, November 1, 2014 by Duane Math Jane grows several varieties of plants in a rectangular-shaped garden. She uses fencing to divide the garden into 16 squares that are each 1 m by 1 m. She also puts fencing around the perimeter of the garden. What should the dimensions of the garden be so that Jane uses the ... Saturday, November 1, 2014 by Anonymous Calculus The blood alcohol concentration after a drink has been consumed can be modelled by c(t)=(0.02t)e^(−0.05t) where t is the time in minutes elapsed after the consumption of the drink and c(t) is the concentration in mg/mL at t. At what time in the first hour after consuming... Saturday, November 1, 2014 by Anonymous calculus Suppose the volume, V , of a spherical tumour with a radius of r = 2 cm uniformly grows at a rate of dV/dt= 0.3 cm^3/day where t is the time in days. At what rate is the surface area of the tumour increasing? The volume of a sphere is given by V =4 3πr^3and the surface ... Saturday, November 1, 2014 by Quratulann calculus The function f(x) = (7 x+9)e^{-2 x} has one critical number. Find it. Friday, October 31, 2014 by Alessandra Romano calculus Consider the function f(x) = x^4 - 18 x^2 + 4, \quad -2 \leq x \leq 7. This function has an absolute minimum value equal to and an absolute maximum value equal to Friday, October 31, 2014 by Alessandra Romano calculus Let g(x)=(4x)/(x^2+1) on the interval [-4,0]. Find the absolute maximum and absolute minimum of g(x) on this interval. The absolute max occurs at x=. The absolute min occurs at x= Friday, October 31, 2014 by Alessandra Romano Calculus Let f(t)=t\sqrt{4-t} on the interval [-1,3]. Find the absolute maximum and absolute minimum of f(t) on this interval. The absolute max occurs at t=. The absolute min occurs at t= Friday, October 31, 2014 by Alessandra Romano calculus Let g(s)=1/(s-2) on the interval [0,1]. Find the absolute maximum and absolute minimum of g(s) on this interval. The absolute max occurs at s=. The absolute min occurs at s= Friday, October 31, 2014 by Alessandra Romano calculus Let f(x)=-x^2+3x on the interval [1,3]. Find the absolute maximum and absolute minimum of f(x) on this interval. The absolute max occurs at x=. The absolute min occurs at x= Friday, October 31, 2014 by Alessandra Romano calculus Find the linear approximation of f(x)=\ln x at x=1 and use it to estimate ln 1.12. L(x)= . ? ln 1.12 \approx ? Friday, October 31, 2014 by Alessandra Romano calculus Let f(x) = x ^3. The equation of the tangent line to f(x) at x = 3 is y= ?. Using this, we find our approximation for 2.7 ^3 is Friday, October 31, 2014 by Alessandra Romano Calculus Using an appropriate linear approximation approximate 26.9^(4/3). Friday, October 31, 2014 by Alex Calculus Let f(x) = \sqrt[3] x. The equation of the tangent line to f(x) at x = 125 is y = Using this, we find our approximation for \sqrt[3] {125.4} is = Friday, October 31, 2014 by Alessandra Romano calculus please help asap true or false questions: a)The derivatives of the reciprocal trigonometric functions can be found using the chain rule and their related base functions. b) A sinusoidal function can be differentiated only if the independent variable is measured in radians. c) There are an ... Friday, October 31, 2014 by Tina calculus The linear approximation at x = 0 to f(x) = \sin (5 x) is y = Friday, October 31, 2014 by Alessandra Romano calculus The linear approximation at x = 0 to f(x) = \sqrt { 5 + 4 x } is y = Friday, October 31, 2014 by Alessandra Romano Calculus Let f(x) = \sqrt[3] x. The equation of the tangent line to f(x) at x = 125 is y = . Using this, we find our approximation for \sqrt[3] {125.4} is Friday, October 31, 2014 by Alessandra Romano Calculus The equation of the tangent line to f(x) = \sqrt{x} at x = 64 is y = Friday, October 31, 2014 by Alessandra Romano Calculus let y=2x^2 +5x+3 Find the differential dy when x= 5 and dx = 0.1 Find the differential dy when x= 5 and dx = 0.2 Friday, October 31, 2014 by alessandra Calculus Find the slope of the tangent line to the graph of the given function at the given value of x. y=-5x^1/2+x^3/2; x=25 Friday, October 31, 2014 by Duane Calculus Find the slope and equation of the tangent line to the graph of the function at the given value of x. f(x)=x^4-20x^2+64;x=-1 Friday, October 31, 2014 by Duane Calculus h(x)=(x^12-2)^3 h'(x)= Friday, October 31, 2014 by Duane Calculus Suppose an E. coli culture is growing exponentially at 37 ◦C. After 20 minutes at that temperature, there are 1.28×10^7 E. coli cells. After 60 minutes, there are 2.4×10^7 cells. How long does it take for the culture to have double the amount of cells that it... Thursday, October 30, 2014 by Annie Calculus Find the derivative of the function. h(x)=(x^10-1)^3 h'(x)= Thursday, October 30, 2014 by Duane calculus A woman pulls a sled which, together with its load, has a mass of m kg. If her arm makes an angle of θ with her body (assumed vertical) and the coefficient of friction (a positive constant) is μ, the least force, F, she must exert to move the sled is given by If &#... Thursday, October 30, 2014 by Michael Calculus A wire of length 12 meter is cut into two parts; one part is bent to form a square, and the other is bent to form an equilateral triangle. Where the cut cut should be made if a) the sum of the two areas is to be a maximum? b) the sum of the two areas is be a minimum? Thursday, October 30, 2014 by RON math A manufacturing company finds that the daily cost of producing x items of a product is given by c(x)=210x + 7000. Find x using calculus Wednesday, October 29, 2014 by Amy Calculus Find the points at which y = f(x) = x^11-6x has a global maximum and minimum on the interval 0 ¢®A x ¢®A 4 Round your answers to two decimal places. Global Maximum: (x,y) = (,) Global Minimum: (x,y) = (,) Wednesday, October 29, 2014 by Anonymous Calculus Find the points at which y = f(x) = x^11-6x has a global maximum and minimum on the interval 0 ¡Â x ¡Â 4 Round your answers to two decimal places. Global Maximum: (x,y) = (,) Global Minimum: (x,y) = (,) Wednesday, October 29, 2014 by FRANK Calculus New York state income tax is based on taxable income which is part of a person's total income. The tax owed to the state is calculated using taxable income (not total income). In 2005, for a single person with a taxable income between$20,000 and \$100,000, the tax owed ...
Wednesday, October 29, 2014 by Alex

Calculus
A balloon rises at the rate of 8 feet per second from a point on the ground 60 feet from an observer. Find the rate of change of the angle of elevation when the balloon is 25 feet above the ground. I have d(theta)/dt=(1/60)cos^2(theta)(8) How do I find theta?
Wednesday, October 29, 2014 by Anonymous

AP Calculus
Are infinite discontinuities removable? Also, please help me with this question: f(x)=x^2+4x+3 / x^2-9 has one removable discontinuity and one vertical asymptote. Find and identify the x-value for each. I found the asymptote at x=3, but please help for the discontinuity. Thanks!
Tuesday, October 28, 2014 by Jerry

Calculus
Find the point(s) (if any) of horizontal tangent lines: x^2+xy+y^2=6
Tuesday, October 28, 2014 by Anonymous

Need help on this problem please! Been stuck for half hour trying to figure it out but I can't get through a. A and B look to be similar but I don't know how to do them! Please help! ----------------------------------- The resistance of blood flow, R, in a blood vessel...
Tuesday, October 28, 2014 by Anonymous

Calculus
Find the work done by F(x,y,z)=(x^2y)i=(x-z)j+(xyz)k where c=(t)i+(t^2)j+(2)k, 0<t<1. The answer is supposed to be -17/15, but i keep getting -13/10. Any help on the process would be appreciated.
Tuesday, October 28, 2014 by Ashley

Calculus
A human cannonball is shot from a cannon at a speed of 21 meters per second at an angle of 20 degrees; how long before his height is 0? How far did he travel in that time?
Tuesday, October 28, 2014 by Anonymous

Calculus
Consider the function f(x)=(x^2)e^(14x) f(x) has two inflection values at x = C and x = D with C≤D where C is and D is Finally for each of the following intervals, tell whether f(x) is concave up or concave down. (−∞,C]: [C,D]: [D,∞)
Tuesday, October 28, 2014 by Hailey

Calculus
The mass, M, of a child can be approximated based on the height, H, of the child. The height of the child can be projected based on the child's age, A. a) State the chain rule for the derivative of the mass with respect to age (ie. find dM/dA) b) Suppose that an allometric...
Tuesday, October 28, 2014 by Anonymous

Calculus 1
The resistance of blood flow, R, in a blood vessel is dependent on the length of the blood vessel, the radius of the blood vessel, and the viscosity of the blood. This relationship is given by R = 8Lη/πr^4 where r is the radius, L is the length, and the positive ...
Tuesday, October 28, 2014 by Anonymous

Calculus
A ball is thrown up on the surface of a moon. Its height above the lunar surface (in feet) after t seconds is given by the formula h=308t−(14/6t^2) Find the time that the ball reaches its maximum height. Answer = Find the maximal height attained by the ball Answer =
Tuesday, October 28, 2014 by Hailey

Calculus
The top and bottom margins of a poster are 2 cm and the side margins are each 8 cm. If the area of printed material on the poster is fixed at 380 square centimeters, find the dimensions of the poster with the smallest area. Width = Height =
Tuesday, October 28, 2014 by Hailey

Calculus
A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircle is equal to the width of the rectangle. What is the area of the largest possible Norman window with a perimeter of 49 feet?
Tuesday, October 28, 2014 by Hailey

Calculus
A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y=4−x^2. What are the dimensions of such a rectangle with the greatest possible area? Width = Height =
Tuesday, October 28, 2014 by Hailey

Calculus 1
The resistance of blood flow, R, in a blood vessel is dependent on the length of the blood vessel, the radius of the blood vessel, and the viscosity of the blood. This relationship is given by R = 8Lη/πr^4 where r is the radius, L is the length, and the positive ...
Tuesday, October 28, 2014 by Anonymous

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