Friday
September 4, 2015

Homework Help: Math: Calculus

Recent Homework Questions About Calculus

PRE CALCULUS
1.) The cash flow per share for the Timerland Co. was $0.18 in 1995 and $4.04 in 2003. Write a liner equation that gives the cash flow per share in terms of the year. Let t=5 represent 1995. Then predict the cash flows for the years 2008 and 2010. 5.) The University of ...
Friday, September 4, 2015 by Emma

calculus
a particle starts from rest and moves along a straight line with an acceleration equal to 24-15√t where distance and time are measured in terms of feet and seconds respectively. with what acceleration will the particle return to the starting point?
Friday, September 4, 2015 by justin

calculus
If the driver of a car wishes to increase his speed from 20 mph to 50 mph while traveling a distance of 528 ft., what constant acceleration should he maintain?
Friday, September 4, 2015 by justine

Pre Calculus
In exercise 100, you are given the dollar value of a product in 2005 and the rate at which the value of the product is expected to change during the next 5 years. Use this Info. to write a linear equation that gives the dollar value V of the product in terms of the year t. (...
Thursday, September 3, 2015 by Emma

Pre-Calculus
Write a linear equation to fit the description. The line with a slope of zero containing the y-intercept of x/3 + y/9 = 1 I'm not sure what to do here. Can someone please help me?
Thursday, September 3, 2015 by Yani

Calculus (limits)
The question is to "state the value of each quantity, if it exists." We are given a piecewise function that is graphed, and no equation. What does it mean when we're asked to find f(2)?
Thursday, September 3, 2015 by Kelly

calculus
the equation y+y"=0 is the differential equation of? a.)sine function b.)sinusoidal c.)cosine function d.) a and c e.) abc
Thursday, September 3, 2015 by .do

calculus
determine the diameter of closed cylindrical tank in meters if the volume is 11.3m^3 to get min. surface area.
Wednesday, September 2, 2015 by .do

calculus
determine the diameter of closed cylindrical tank in meters if the volume is 11.3m^3 to get min. surface area
Wednesday, September 2, 2015 by .do

calculus
find the largest cylinder w/ height h that can be inscribed in a cone w/ height H
Wednesday, September 2, 2015 by dope

calculus
Find the area bounded by the curve y=1/2+2, the x-axis, and the lines x=1 and x=4. a.7 1/2 b.10 2/3 c.16 d.28 1/2
Wednesday, September 2, 2015 by tammy

Pre-Calculus
1) j(x)=-2/3x what is j(x)'s y-intercept? answer: (0,0) 2) k(x)=4 what is k(x)'s slope? answer: 0 3) g(x)=2x-5 what are the root(s) of g(x)? 4) the slope of line p if p is perpendicular to line f are the answers i provided correct? and please help me on 3 and 4
Tuesday, September 1, 2015 by Sam

Pre-Calculus
focus at (-2,0) directrix the line x=2
Tuesday, September 1, 2015 by anonymous

Pre-Calculus
Write an equation to fit the description. 0° Celsius = 32° Fahrenheit. 100°C = 212°F. (Let x = degrees Celsius and y=degrees Fahrenheit.) y=9/5x+32 Is this correct?
Monday, August 31, 2015 by Lucy

Calculus
A 6 feet tall man walks away from a streetlight that is 15 feet high at a rate of 5 ft/s. Express the length 's' of his shadow as a function of time. What I have so far: I set up a triangle and used similar triangles to create a ratio (6/s) = (s/d+s) s = (6d + 30/15s) ...
Monday, August 31, 2015 by Rosie

Calculus
Differentiate y=[(8x-x^6)/(x^3)]^(-4/5) My answer: [4x^3(16+3x^5)]/5 • fifth root of [(8x-x^6)/(x^3)] ^9
Sunday, August 30, 2015 by Anonymous

Calculus
Differentiate e^cos (x^2+1). My answer: -2xe^cos(x^2 +1) • sin(x^2+1)
Sunday, August 30, 2015 by Anonymous

Calculus
Find the equation of the tangent line to f(x)=sec x - 2 cos x at (pi/3, 1).
Sunday, August 30, 2015 by Anonymous

Calculus
Differentiate. f(x)=(cos x)/x I got to here: (-x sin x - cos x)/x^2
Sunday, August 30, 2015 by Anonymous

math calculus
Find the half-life (in hours) of a radioactive substance that is reduced by 30 percent in 40 hours.
Sunday, August 30, 2015 by Urgent help

math calculus
In the year 2005, a picture supposedly painted by a famous artist some time after 1815 but before 1865 contains 95 percent of its carbon-14 (half-life 5730 years). Approximately how old is the painting? In years
Sunday, August 30, 2015 by Urgent help

Calculus
Differentiate. f(x)=(cos x)/x I got to here: (-x sin x - cos x)/x^2 Find the equation of the tangent line to f(x)=sec x - 2 cos x at (pi/3, 1). Is the slope 3 times sqrt of 3? Equation is y=3 times sqrt of 3x - pi times sqrt of 3 +1??
Saturday, August 29, 2015 by Anonymous

Calculus
Find the equation of the tangent line to f(x)=x sec x at (pi/4, pi •sqrt of 2 all over 4). I got to here, but did not know what to do next: slope: (pi/4)(sqrt of 2 over 2) + (sqrt of 2 over 2) everything over 1/2=.......
Saturday, August 29, 2015 by Anonymous

Calculus
Find the derivative. d/dx[sqrt of x (x^3 +1)] My answer in its most simplified form: (7x^3 + 1)/ 2 • sqrt of x
Saturday, August 29, 2015 by Anonymous

calculus
R is the first quadrant region enclosed by the x-axis, the curve y = 2x + b, and the line x = b, where b > 0. Find the value of b so that the area of the region R is 288 square units.
Saturday, August 29, 2015 by Anonymous

calculus
The base of a solid is bounded by the curve y= sort (x+2) ,the x-axis and the line x = 1. The cross sections, taken perpendicular to the x-axis, are squares. Find the volume of the solid.
Saturday, August 29, 2015 by Anonymous

Math (Pre-calculus)
The Fiedler family has up to $130,000 to invest. They decide that they want to have at least $40,000 invested in stable bonds yielding 5.5% and that no more than $60,000 should be invested in more volatile bonds yielding 11%. How much should they invest in each type of bond to...
Saturday, August 29, 2015 by ELVIA

pre-calculus
Rewrite each equation into slope intercept or special case form. 1) 4x+3=8x 2) 9y-(7+3y)=0 I have no idea how to do these two. Can someone please help me? 3)x/2+y/7=1 My answer is y=-7x+14. Is this correct?
Saturday, August 29, 2015 by d

Math (Pre-calculus)
An artist is creating a mosaic that cannot be larger than the space allotted which is 4 feet tall and 6 feet wide. The mosaic must be at least 3 feet tall and 5 feet wide. The tiles in the mosaic have words written on them and the artist ants the words to all be horizontal in ...
Saturday, August 29, 2015 by ELVIA

calculus
Find the domain for the particular solution to the differential equation dx/dy=1/2x, with initial condition y(1) = 1.
Saturday, August 29, 2015 by Anonymous

integral calculus
integrate. (1):sin2xcos3x (2):5(cos3x)^2
Saturday, August 29, 2015 by edward

calculus
A snowball is melting at the rate of 2 inches per hour. How fast is the surface area of the snowball changing at the instant the snowball has a radius of 3 inches i tried (d/dt) = 4pir^2 (dr/dt) its multiple choice and -72pi isnt there so im just trying to figure this out
Friday, August 28, 2015 by Thomas

Calculus
Let f be a function defined for all real numbers. Which of the following statements must be true about f? Which might be true? Which must be false? Justify your answers. (a) lim of f(x) as x approaches a = f(a) (b) If the lim of f(x)/x as x approaches 0 = 2, then f(0)=0. (c) ...
Friday, August 28, 2015 by Anonymous

pre-calculus
h(t)=15t + 1200 is a function that models the motion of a mountain climber. h(t) is his height above sea level at time t in minutes. 1a) the coefficient on t is 15. what does it tell you about the motion of the mountain climber? 1b) what does it tell you about the graph of h(t...
Thursday, August 27, 2015 by d

calculus
a colony of bacteria living on a petri dish under optimal conditions doubles in size every ten minutes. At noon on a certain day, the Petri dish completely covered with bacteria. At what times (to the nearest hour, minute and second) was the percentage of the plate covered by ...
Thursday, August 27, 2015 by john

Calculus 1
simplify the expression. cos(2 tan^-1 x)
Thursday, August 27, 2015 by TayB

Calculus 1
Find the exact value of each expression. (a) cot^-1(sqrt(3))
Thursday, August 27, 2015 by TayB

Calculus 1
Find the exact value of each expression. (a) tan(sec^−1 5) (b) sin(2sin^-1(5/13))
Thursday, August 27, 2015 by TayB

AP Calculus
Find each of the limits without a calculator. Use the limits as an aide to sketch the graph of f(x)= (x-2)/(|x|-2) for-10<_x<_10 and -6<_y<_6. Be sure to clearly indicate any asymptotes, holes or other important characteristics. lim x->∞ f(x)
Wednesday, August 26, 2015 by Ana

Calculus
True or false. 1. If f(x) has a vertical asymptote at x=a, then the limit of f(x) as x --> a from the left is negative infinite and the limit of f(x) as x--> a from the right is positive infinite. I think this is true. Take for instance, a rational function. the two ...
Wednesday, August 26, 2015 by Anonymous

Calculus
The equation of a circle, C, is x^2 + y^2 + 6x - 8y +9=0. Find the center of C and find the radius of C. Show that the C touches the x-axis. Find the equation of the circle which is a reflection of C in the y-axis
Wednesday, August 26, 2015 by Sabrina

Calculus
Derivatives - chain rule An airplane, flying horizontally at an altitude of 1 mile, passes directly over an observer. If the constant speed of the airplane is 400 miles per hour, how fast is its distance from the observer increasing 45 seconds later? Hint: note that in 45 ...
Tuesday, August 25, 2015 by Ribie

Calculus
Derivatives - chain rule An airplane, flying horizontally at an altitude of 1 mile, passes directly over an observer. If the constant speed of the airplane is 400 miles per hour, how fast is its distance from the observer increasing 45 seconds later? Hint: note that in 45 ...
Tuesday, August 25, 2015 by Ribie

Calculus 1
Use a graph to estimate the values of x such that e^x > 1,000,000,000
Monday, August 24, 2015 by TayB

calculus
find the two numbers whose sum is 10, if the product of one by the cube of other is a maximum.
Monday, August 24, 2015 by jen

Calculus
If 2 < or = to f(x) < or = to x^2 + 2 for all x, find the limit of f(x) as it approaches zero.
Sunday, August 23, 2015 by Anonymous

Calculus
F(x)=(2x-1)/ (|x| -3) Rewrite f(x) as a piecewise function. Then find the limit as it approaches positive infinity and negative infinity.
Sunday, August 23, 2015 by Anonymous

Differential calculus
A gutter with trapezoidal cross section is to be made from a long sheet of tin 8 in wide by turning up one third of its width on each side , what width a cross the top that will give a maximum capacity
Sunday, August 23, 2015 by Grace

calculus
y=2^nx differentiate with respect to x using the first principle
Sunday, August 23, 2015 by edward

Calculus
If 2 < or = to f(x) < or = to x^2 + 2 for all x, find the limit of f(x) as it approaches zero.
Sunday, August 23, 2015 by Anonymous

Calculus
F(x)=(2x-1)/ (|x| -3) Rewrite f(x) as a piecewise function. Then find the limit as it approaches positive infinity and negative infinity.
Sunday, August 23, 2015 by Anonymous

calculus: don't even no where to start from need help plz
(1)find dy/dx of y if y=tan^(-1)1/x^2 (2) if y=3z^2.z^2 find dy/dz (3) if y=x^x show that dy/dx=x|n(x+1).. thanks
Sunday, August 23, 2015 by edward

Calculus
Find the limit as it approaches zero. ( f( x + change in x) - f(x) )/ change in x given f(x)=2x-5. ( change in x = triangle x)
Sunday, August 23, 2015 by Anonymous

Calculus
Graph the function f(x)= x sin( 1/x) and the equations y=|x| and y=-|x| in the same viewing window on your calculator. Then use the squeeze therom to find the limit of f(x) as it approaches zero. I graphed the function and equations, but I am confused on how to find the limit ...
Sunday, August 23, 2015 by Anonymous

Calculus
What would the limit be for the following problems? lim (square root (x+3)) x--> 1 I thought it would be 1.4 lim (1/x) x--> 7 I thought it would be 0 or .1 but neither of those show to be correct. Thank you!
Saturday, August 22, 2015 by Serena

Calculus 1
A variable star is one whose brightness alternately increases and decreases. For one such star, the time between periods of maximum brightness is 4.7 days, the average brightness (or magnitude) of the star is 5.3, and its brightness varies by ±0.35 magnitude. Find a ...
Saturday, August 22, 2015 by TayB

Calculus
A line rotates in a horizontal plane according to the equation Y = 2t^3- 6t, where Y is the angular position of the rotating line, in radians, and t is the time, in seconds. Determine the angular acceleration when t = 2 sec.
Saturday, August 22, 2015 by Linda

PLEASE HELP WITH CALCULUS 1 - ITS REALLY URGENT
Velocities of the 2 cars during the race are given in the tables below where velocities, v are in miles per hour and times t are in seconds. Sappho's car: time: 0 1 2 3 4 5 6 7 8 9 10 velocity:0 20 35 48 62 75 85 93 99 106 111 Homer's car: time: 0 1 2 3 4 5 6 7 8 9 10 ...
Friday, August 21, 2015 by Ashley

Calculus 1
Evaluate the difference quotient for the given function. Simplify your answer. f(x) = 1+2x− x^2, (f(4+h)-f(4))/h
Thursday, August 20, 2015 by TayB

Calculus 1
Find f o g o h. f(x) = x + 9, g(x) = 3x, h(x) = x − 5
Thursday, August 20, 2015 by TayB

Calculus 1
Explain how the following graphs are obtained from the graph of y=f(x). (Select all that apply.) (d) y= -2f(x) shift 2 units upward shift 2 units downward shift 2 units to the right shift 2 units to the left stretch the graph vertically by a factor of 2 shrink the graph ...
Thursday, August 20, 2015 by TayB

Calculus 1
Explain how the following graphs are obtained from the graph of y=f(x). (Select all that apply.) (a) y=7f(x) shifts 7 units upward shifts 7 units downward shifts 7 units to the right shifts 7 units to the left stretch the graph vertically by a factor of 7 shrink the graph ...
Thursday, August 20, 2015 by TayB

Calculus - HELP URGENT PLEASE
Consider a lake of constant volume 12200 km^3, which at time t contains an amount y(t) tons of pollutant evenly distributed throughout the lake with a concentration y(t)/12200 tons/km^3. assume that fresh water enters the lake at a rate of 67.1 km^3/yr, and that water leaves ...
Thursday, August 20, 2015 by Ashley

Calculus
(3x |x-2|) / x-2 What is the limit as x approaches 2 from the left side?
Wednesday, August 19, 2015 by Anonymous

Pre-Calculus
How do I solve these equations? I need to create an equation given the characteristics? I have to be able to graph a parabola but first I need help solving this. 1.Focus (1.5,1); opens right; directrix x=0.5 2.Focus (1,4);opens down; contains (-3,1)
Wednesday, August 19, 2015 by Stephanie

Calculus 1
Find an expression for a cubic function f if f(1)=8 and f(-1)=f(0)=f(2)=0
Wednesday, August 19, 2015 by TayB

Calculus
(2x + sin x)/x What is the limit as x approaches zero?
Wednesday, August 19, 2015 by Anonymous

Diff Calculus
a swimming pool is 5m wide, 10m long, 1m deep at the shallow end, and 3 m deep at its deepest point. a cross section is shown in the figure. if the pool is being filled at a rate of 0.1 m3/min, how fast is the water level rising when the depth at the deepest point is 1m?
Tuesday, August 18, 2015 by Gene

Calculus 1
A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 18 in. by 30 in. by cutting out equal squares of side x at each corner and then folding up the sides as in the figure. Express the volume V of the box as a function of x.
Tuesday, August 18, 2015 by TayB

Calculus 1
A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the window is 32 ft, express the area A of the window as a function of the width x of the window.
Tuesday, August 18, 2015 by TayB

Calculus
Hello, Could somebody kindly check my answer for the following question? Find the derivative of the following function: h(x)=3e^(sin(x+2)) h'(x)=3'(e^(sin(x+2))+3(e^(sin(x​+2))' h'(x)=0(e^(sin(x+2))+3(e^(sin(x+2))(​cos(1)) h'(x)=3cos1(e^(sin(x+2...
Tuesday, August 18, 2015 by Constantine

Math (Calculus)
Hello, I have a difficulty with the following question. The question is asking to find the slope of the tangent at x=3 for this function: f(x)=4x^3/sinx. X is measured in radians. The is the derivative of f(x): f'(x)=(12x^2)(sinx)^-1 + (4x^3)(-1)(sinx)^-2(cosx) When x=3 is...
Tuesday, August 18, 2015 by Constantine

calculus
find the minimum and maximum points of the curve y=x^4-4x^3+4x^2
Tuesday, August 18, 2015 by leo

Maths- calculus
You are at a point x=x(t) along a horizontal line, representing the ground. You are flying a kite which maintains a constant height of 40 meters. Assume also that the kite string is a straight line. The kite is above the point k=k(t) on the ground, which is currently 30 meters...
Sunday, August 16, 2015 by Kritish

Calculus
As x goes to zero, what is the limit of (( 1/ x+2) -(1/2)) / x? I know the answer is -1/4, but I'm confused on how to get that answer. I think I have to multiply by the reciprocal.
Saturday, August 15, 2015 by Anonymous

pre-calculus urgent
Please help me here as well to clarify more my understanding. Let a1, a2, a3, . . . be a geometric sequence with initial term a and common ratio r. Show that a1^2, a2^2, a3^2, . . . is also a geometric sequence by finding its common ratio. Given that the ratio for a1, a2, a3...
Saturday, August 15, 2015 by Alex

pre-calculus urgent
The first term of an arithmetic sequence is 6, and the tenth term is 2. (a) Find the common difference d. d = Find the 100th term of the sequence. a100 = (b) Find the partial sum of the first ten terms. S10 = how do i do this, there's an example I tried following but it ...
Saturday, August 15, 2015 by Alex

Pre-Calculus
A local salesman receives a base salary of 675 monthly. He Also receives a commission of 11% on all sales over 1900. How Much would he have to sell in a month if he needed to have a monthly income of 3000? My Work: 1900*.11=209 3000-675=2325 2325/209=11.12440191 1900*11....
Friday, August 14, 2015 by Lost

Calculus
The following rational function describes concentration in blood of a certain medicine taken once depending on time, find: A) the horizontal or oblique asymptote B) the vertical asymptote, if any C) describe their meanings f(x)=x/x^2-100
Friday, August 14, 2015 by Wendy

Calculus
Posted by hey on Monday, August 10, 2015 at 11:28pm. A man 5.5 ft tall walks away from a lamp post 10 ft high at the rate of 8 ft/s. (a.) How fast does his shadow lengthen? (b.) how fast does the tip of the shadow move? Calculus - Reiny, Monday, August 10, 2015 at 11:43pm make...
Wednesday, August 12, 2015 by hey

Math (Calculus)
Hello, Could somebody please help me with the following question? It asks to differentiate the function below according to derivate rules of calculus such as the power rule (if f(x)=x^n, then f'(x)=nx^n-1), the product rule (if F(x)=f(x)g(x) then F'(x)=f(x)g'(x)+f...
Wednesday, August 12, 2015 by Constantine

calculus
A person is jumping straight up and down on a trampoline. The height of the center of mass of the person is measured every tenth of a second. It takes just over one second to complete one full bounce. (If you want to see the data, look at the video above.) t (seconds) 2.90 3....
Wednesday, August 12, 2015 by JuanPro

calculus
This problem requires a calculator. Enter answers as decimals. Grass clippings are placed in a bin, where they decompose. The amount of grass clippings measured in kilograms is modeled by A(t)=7.0(0.95)t, where t is measured in days. (a) Find the average rate of change of A(t...
Wednesday, August 12, 2015 by JuanPro

calculus
F. (12) (1 punto posible) You are at a point x=x(t) along a horizontal line, representing the ground. You are flying a kite which maintains a constant height of 40 meters. Assume also that the kite string is a straight line. The kite is above the point k=k(t) on the ground, ...
Wednesday, August 12, 2015 by JuanPro

calculus
F. (11) (2 puntos posibles) Consider a circular cone with base of radius a and a height of a. Find the vertical cylinder of largest volume inside this cone. In terms of a, what is the radius of this largest cylinder? (Enter ∗ for multiplication: type 2*x for 2x. Enter...
Wednesday, August 12, 2015 by JuanPro

calculus
You are given that f(x) =1+ax+ax2 f′(x) =−(x+2)ax3 f′′(x) =(2x+6)ax4 and the constant a>0. Write down all intervals on which the function is increasing, decreasing, concave up or concave down. (Enter using notation (a, b). Use a comma to separate ...
Wednesday, August 12, 2015 by JuanPro

calculus
(a) Give the linear approximation for the function e−x1+x near x=0. (Enter ∗ for multiplication: type 2*x for 2x. Enter / for division: type 1/2 for 12.) - sin responder (b) Give the quadratic approximation for the function ln(cosx) near x=0. (Enter ∗ for ...
Wednesday, August 12, 2015 by JuanPro

calculus
F. (7) (2 puntos posibles) Let f(x)={tanxax+bπ/4<x<π/2x​≤π/4 Find a and b such that the function f(x) is differentiable at x=π/4.
Wednesday, August 12, 2015 by JuanPro

calculus
Evaluate these limits. (Enter answer as a decimal. Enter INF if the limit is +∞; -INF if the limit is −∞; and DNE if the limit is neither ±∞ and does not exist.) (a) limx→04+x−−−W​22;−√−2x= - ...
Wednesday, August 12, 2015 by JuanPro

calculus
Draw the graph of the function (qualitatively accurate). y=x+1−−−−−​√/(x−b),1<b<2
Wednesday, August 12, 2015 by JuanPro

calculus
Find the tangent line to the curve xy3+2y−2x=1 through the point (x,y)=(1,1). (Enter ∗ for multiplication: type 2*x for 2x. Enter / for division: type 1/2 for 12.) Tangent Line y=
Wednesday, August 12, 2015 by JuanPro

calculus
F.(0) (10 puntos posibles) C1   What is limh→0cos(π6+h)−cos( ​60;6)h? (Enter the answer as a decimal. If the limit does not exist, enter DNE.) sin responder Loading C2   At which of the five points on the graph are dydx and d2ydx2 both ...
Wednesday, August 12, 2015 by JuanPro

Calculus
The balloon leaves the ground 80 ft. from an observer and rises vertically upward at 5 ft/s. (a) How fast is the balloon receding from the observer after 12 seconds? (b) find the corresponding acceleration? How do I sketch it? and what equation should I use? Please show the ...
Wednesday, August 12, 2015 by Jean

Calculus
A man 5.5 ft tall walks away from a lamp post 10 ft high at the rate of 8 ft/s. (a) How fast does his shadow lengthen? (b) How fast does the tip of the shadow move? Can you please tell me what method/s you used to come up with a solution? I wasn't sure about the sketch I ...
Wednesday, August 12, 2015 by Jean

Calculus
Differentiate this y = 1 - cos^2 x
Tuesday, August 11, 2015 by Ribie

calculus
A particle p moves in a straight line with a velocity v m/sec that is given by v=4t^2-1 where t is the time after passing through a fixed point O on the line .find the instant when p is instantaneously at rest .also find at that instant ,displacement of p from O.
Tuesday, August 11, 2015 by raheel khan

Calculus
Differentiate this y = 1 - cos^2 x
Tuesday, August 11, 2015 by Ribie

Calculus
A man 5.5 ft tall walks away from a lamp post 10 ft high at the rate of 8 ft/s. (a.) How fast does his shadow lengthen? (b.) how fast does the tip of the shadow move?
Monday, August 10, 2015 by hey

Calculus
Y = 1 - cos^2 x
Monday, August 10, 2015 by Ribie

calculus
find the equation of the curve for which y'''=24x-6 if the curve passes through (-1,8) and is tangent to the line y=4x at (1,4). help please thanks :-)
Monday, August 10, 2015 by jean

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