# calculus(work)

40,419 results

### calculus(work)

a rectangular water tank has a length 20 ft, width 10 ft , and depth 15 ft . if the tank is full , how much work does it take to pump all the water out (using calculus)?

### Calculus 2

Calculus work problem. John bought the following corner lot. Two sides are bounded by 2 roads the back is bounded by a stream that follows the curve y = -x^3 + 8. He wants to build a house in the center of the lot. Where will that be? Please show all work

### calculus

A cable that weighs 6 lb/ft is used to lift 750 lb of coal up a mine shaft 500 ft deep. Find the work done. Show how to approximate the required work by a Riemann sum.

### calculus help work

a force of 1250 pounds compresses a spring 5 inches from its natural length. find the work done in compressing the spring 8 additional inches. f=kd 1250=k5 k=250 then what do i do. i have to do this the calculus way, not the physics way. by using integrals the answer choices ...

### Calculus

Does my answer look correct? Find the derivative. 11, y= (e^3-e)(e+5)/6e my work: ((6e)(4e^3 + 15e^2 - 2e - 5) - (6)(e^4 + 5e^3 - e^2 - 5e))/ (6e)^2 Multiplied/divided everything through My answer: (10e^2 + 30e - 3)/ 18 I cant follow your work: I assume e is a derivative. (e^3...

### pre - CALCULUS

Find the reference angle for the given angle. Show your work. -404° my answer is 44 degree , But i don't know how to put my work together..

### calculus

prove that 5x - 7 - sin3x = 0 has at least one zero and prove that it has exactly one real zero. How am I supposed to show my work for this? I don't really understand how to show my work for the IVT. Without that I can't do any work for the MVT.

### calculus

1) Integrate (e^x+x)^2(e^x+1) dx 2) Integrate xe^x2 dx Let u=(e^x+x) du=(e^x +1) dx I will be happy to critique your work or thinking. You are posting work for me to do, and I am not inclined to do that, it will not help you for me to do it. I think I gave you strong hints on ...

### physics

It takes 5.28 J of work to stretch a Hookes Laq spring 9.82 cm from its unstressed length. How much extra work is required to stretch an additional 11.9 cm? anwser in J Figure the Potential energy at 11.9, and at 9.82cm. The difference is the energy that stretched the spring. ...

### Math (Calculus) (Work)

Six and one-half foot-pounds of work is required to compress a spring 4 inches from its natural length. Find the work required to compress the spring an additional one-half inch. (Round your answer to two decimal places.) This is what I did so far: 4 in = 1/3 ft 6.5 = ∫[0,1/...

### Calculus

Is x^2 - 2x 1 to 1? I keep getting yes every way I try to work it. Book says no. In the end, I get (with x1=1 and x2=-1 <- I use these numbers because of the x^2) f(x1) = -1 and f(x2)=3. I can't seem to find if x1 = x2 (btw, I know that by the graph it is not, but I am ...

### Calculus 2

Calculus 2. Tom and Mike have a bet as to who will do the most work today. Mike has to compress a coil 200 feet. It takes Mike 250 lbs to compress the coil 10 feet. Tom needs to pump water through the top of a cylindrical tank sitting on the ground. The tank is half full, has ...

### Pre-Calculus

How do you work this problem. I cannot find an example in the book to illustrate how to work it. Find the value of tan(a-b) if cos a=-3/5, sin b=5/13, 90<a<180, and 90<b<180 Thanks for any help

### calculus

Find any relative extrema and any points of inflection if they exist of f(x)=x^2+ ln x^2 showing calculus. Please show work in detail so I can follow. Thanks. The answer is no relative max or min and the points of inflection are (1,1) and (-1,1) but I'm having trouble getting ...

### Calculus

Use the function f to solve the following: a) Local minima, local maxima, and stationary points if any. Show work. b)Intervals of upward concavity and downward concavity if any. Show work. c) Inflection points if any. Show work. f(x)=2x+1/x-2 Please, don't do steps for first ...

### calculus (gr 12)

the productivity of a person at work (on a scale of 0-10) is modeled by a cosine function: 5cos (pie/2t) +5, where t is in hours. If the person starts work at t=0, being 8:00 am, at what times is the worker the least productive? a) 12pm B) 10 am and 2pm C) 11 am and 3 pm D) 10...

### calculus

Quadratic function written in standard form where a, b, and c are constants such that a is not zero. f(x)= ax^2+bx+c Using calculus find the vertex of the parabola formed by this quadratic function. Determine under what conditions this vertex is a maximum or minumum (using ...

### Physics 11

Can someone explain what work total is? In my lessons it said Work total is the sum of all work & showed an example of different work being added together. An assignment after that however made me think that may not be the case... Do I need to add the work in some cases or is ...

### Calculus

If 6 J of work is needed to stretch a spring from 10cm to 12 cm and another 10 J is needed to stretch it from 12 cm to 14cm, what is the natural length of the spring? This is a physics problem as much as a calculus one. Solve for the spring constant k first, then determine ...

### Math-Calculus

a spring has a natural length of 20meters. a) find the work required to stretch the spring from 20m to 30m b) from 30m to 40m c) how is the work from part a and part b related?

### calculus

how do you work out what ||u||2 is when you are given u:<-1,7> and v:<6,4>

### calculus(equating coefficients)

Can somebody explain to me why equating coefficients work? Example: 8x^3+13x = Ax^3 + 2Ax + Bx^2 + 2B + Cx + D expanded into: 8x^3 + 13x = Ax^3 + Bx^2 + (2A+C)x + 2(B+D) where A,B,C,D are constants. Why does 8 = A; 0 = B; 13 = 2A + C; etc. I know they have same power variables...

### Calculus

Let f (x) = 5x^2 – 9 and g(x) = x – 3. (a) Find the composite function ( f o g)(x) and simplify. Show work. (b) Find ( f o g)(2) . Show work.

### calculus

differentiate y=x^2x. show all work

### Calculus

Graph f(x) = 4^(x - 1) Please show work

### calculus

solve the inequality e^x+e^x-x=6 can you show work

### Calculus

Determine if the Mean Value Theorem for Integrals applies to the function f(x) = x^3 − 16x on the interval [−1, 1]. If so, find the x-coordinates of the point(s) guaranteed to exist by the theorem. f(a)=15 f(b)=-15 f'(x)=3x^2-16 f'(c)=-15 I am now lost from here, I do not ...

### Calculus

Launching a missile to hit a target 100 miles away. Determine the launch speed of the missile along with the angle at which it's to be fired. Also, show your work and one of the angle that will work. Finally, assume that the only force acting on the missile is gravity.

### Chemistry I

For the methanol combustion reaction 2CH3OH(â„“) + 3O2(g) ----> 2CO2(g) + 4H2O(g) estimate the amount of P [change]V work done and tell whether the work was done on or by the system. Assume a temperature of 27â—¦C. 1. 2.5 kJ, work done by the system 2. 2.5 kJ, work...

### calculus

integrate (x+2)/((x^2+2x+4)^2) the usual partial fractions don't work???

### calculus

find all x,y intercepts of x+6/x-3 show work

### calculus

find all intercepts x^2-4/x-1 show work

### calculus

Lim= x-Infinite x+0/(x2+1)=? please show work

### Calculus

Find The Derivative y= 9e^(x)/ 2e^(x)+ 1 Please Show Work

### Calculus

Find The Derivative y=5x^(2)e^(3x) Please Show Work

### calculus

If (a,-12) is a point on the graph of y=x^2+7x, what is a? please show work

### College Algebra/pre-calculus

The question is to evaluate each logarithm: My professor wants us to show work. Could you please tell me if I'm on the right track? Thank you!!! 1. log6^(1/36)= -2 2. ln(1/e^4)= 1/e^2 3. log7^1= 0 4. log4^64= ln64/ln4= 3 5. log10^8= ln8/ln10= .9031 6. log3^(radical 3)= I wasn'...

### calculus help plz

a force of 1250 pounds compresses a spring 5 inches from its natural length. find the work done in compressing the spring 8 additional inches. f=kd 1250=k5 k=250 then what do i do. the answer choices are: a.3250 b.21,125 c.18000 d.2000 e. none of these Work = (1/2)* F * ...

### calculus

find the horizontal tangents of the curve and show work y=5x^3-3x^5

### calculus

find the work done in winding up a 175 ft cable that weighs 4.00 lb/ft?

### pre-calculus

solve equation show work. log_2(x^2+47)=7

### Calculus

Find the derivative of f(x) = x^3 Show all the work please and thank you!

### Calculus

Does the line [x,y,z] = [-2,6,5] + t[3,2,-1] lie in the plane 3x - 4y + z + 25 = 0 ? Please show work.

### calculus

find the rate of change of f(x)-x^2+4 a. from -2 to 0 b. from 1 to 3 c. from -2 to 1 please show work

### calculus

find the rate of change of f(x)=x^2+4 a. from -2 to 0 b. from 1 to 3 c. from -2 to 1 pllease show work

### calculus help

find y' and y'' for the equation below. Show work please!!! y= (x^3)/((x+1)^2)

### Calculus

Given f(x) = csc^4(5x^2-3x+1), find f'(x). Show all work.

### Calculus

I need help I have to submit work at 12 est time

### calculus help me asap

if y^6=tanh^-1(tan^-4(4x^2+y^2)^2)^9 find dy/dx show work....

### Science

Work or no work? Work=ForcexDistance 1. A person holding a box of potatoes. No work 2. A batter holds his bat at his side while waiting for his turn to play. No work 3. Your sister carries home her books from school. No work 4. You push a box from point A to point B along the ...

### calculus

Iamhaving a really hard time trying to understand this question. Can someone please show me how to work this question. Give the following polynomial, find a. the zeros and the multiplicity of each b. where the graph crosses or touches the x-axis c. number of turning points d. ...

### Calculus III

I'm supposed to find the expression 'y', when (x^2+100)y'=23 When y(10sqrt(3))=0 Also, I have to find the indefite integral of xsqrt(19x-7), using integration tables in the back of the book "Calculus of a Single Variable, 8th Edition." Tables are in appendix B I used the ...

### Calculus (Definite Integrals - Work)

Recall that work is defined to be force times distance, and that the weight (force) of a liquid is equal to its volume times its density. A fish tank has a rectangular base of width 2 feet and length 6 feet and sides of height 5 feet. If the tank is filled with water weighing ...

### Calculus

what is Trapezoidal rule? How does it work in finding the area under the curve(s)?

### calculus

Find the derivative of the function. 1. 2x+5/3x-2 2. (1-x)(1+x^2)^-1 Please show work. TYVM. :)

### calculus

How do you find the points of continuity for F(x) = sin(x^2-2) ? Can you show your work? Thx

### calculus 2

find the indefinite integral showing all work. x^3(x^4-11)6dx

find derivative of: f(x)=e^2 I know that b/c e is a constant the answer is 0, but how do I show that in my work?

### calculus

find the equation of line L. L is parellel to y=4x show work pleaase..

### Calculus

If f(x1)>f(x2) for every x1>x2, then what is the behaviour of f(x)? I believe that the answer is that f(x) is increasing but I do not know how to show my work for that

### pre - CALCULUS

Verify the identity. Show your work. (1 + tan2u)(1 - sin2u) = 1

### Pre - CALCULUS

Locate the foci of the ellipse. Show your work. 𝑥2/36+ y2/11=1

### Pre - CALCULUS

Solve the system by the substitution method. Show your work. 2y - x = 5 x2 + y2 - 25 = 0

### pre - CALCULUS

Solve the system by the substitution method. Show your work. 2y - x = 5 x2 + y2 - 25 = 0

### Calculus 1

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

Which of the following is true about work? A. Work depends on time. B. Work helps retain the state of matter. C. The SI unit of work is the watt. D. Work can cause a change in the form of matter. I know it is not a or b so whats the answer

### per- calculus

Parrallel to the line 4x+3y=3; containing the points (6,0) a)3x-4y=-24 b)4x+3y=24 c)4x+3y=18 d)3x-4y=18 show all work

### Calculus

what is the limit as x goes to 1- of (arcsin(x) - pi/2 ) / sqrt(1-x) ? I tried using L'Hopital's and it doesn't work.

### Calculus

Differentiate: F(x)=e^(xsin2x) This isn't homework, it's review for our exam. Couldn't remember how to work it :( Thanks!

### Calculus

find the limit as x approaches zero of (3sin2x)/sin7x and show work

### Calculus

find the limit as x approaches zero of (3sin2x)/sin7x and show work

### Calculus

find the limit as x approaches zero of (3sin2x)/sin7x and show work is it 6/7?

### pre calculus

Write the expression below as a single logarithm. Need to know how to work this! ln(x-5/x^2 - 1) - ln (x^2 - 2x -15/x + 1)

### Calculus

For the following function, state the derivative and evaluate f'(4): f(x) = x Please show your work! Thank you!!

### Calculus

Find dy/dx by implicit differentiation. x^3 - 3x^2y + 2xy^2 =12 Please show me the work/steps on how to do it.

### calculus

for the function f(x)=5/x+4, find the average rate of change of f from 1 to x. please show work

### calculus

solve the inequality algebraically 7x-6 less than or equal to 3x^2 please show work

### calculus

What is the limit, as x approaches 1, of (sqrt(x) - 1)/(x - 1)? I need to show work, but I know the answer is 3/2, because I confirmed with a TI-89.

### Calculus

(i) A 20m chain with a mass-density of 3kg/m (coiled on the ground). How much work is performed lifting the chain so that it is fully extended (and one end touches the ground)? (ii) How much work is performed to lift 1/4 of the chain?

### Calculus

(i) A 20m chain with a mass-density of 3kg/m (coiled on the ground). How much work is performed lifting the chain so that it is fully extended (and one end touches the ground)? (ii) How much work is performed to lift 1/4 of the chain?

### Pre-Calculus/Calculus

I am too embarassed to ask this Calculus (really pre-calculus) question in tutoring, because I know I should know. Is the inverse of f(x)=3x-1 actually f(x)=1/3x+1? How do I find it? What if it asks the same equation replaced with f to the -1 power (x)? I think I know how the ...

### Calculus

1. 10=6e 0.5t 2. 100=25(1.5)t We will be happy to try to critique your work or thinking. I have no idea what your question is.

### calculus

f(x)=(9x^2–8)^6(4x^2–5)^11 Find f'(x) I got (9x^2-8)^6 *11(4x^2-3)^10*8x+((4x^2-3)^11)6(9x^2-8)^5(18x) but im doing something wrong can someone check my work please

### Calculus

Solve for x. Don't do the work using algebra and don't use a calculator. The Laws of Logarithms will be helpful. ln(x^2 - 1)= 3

### Calculus

Use the first principles definition to differentiate y = 5x^2. Please show all your work!

### Calculus

Determine the work done by the force F = [1, 4], in newtons, for an object moving along the vector d = [6, 3], in meters.

### calculus

Plot the points and determine the slope of the line containing them (-7,-4);(8,-4) please show work

### Calculus (check my work)

Find the marginal revenue at x=10 using the equation R(x)=-x^2+80x Is the answer 60?

### Calculus Help

Find the derivative of the following function showing your work and fully simplifying your answer. f(x)=(8x-3)^5/(6x+7)^12 Thank you!!!

### Calculus

The function h(x) = x^3+bx+d has a critical point at (2,-4). Determine the constants b and d and find the equation of h(x). Show your work.

### Calculus Chain rule

y = (6x^2-6)^4/x I would appreciate it more if work was shown. Thank you (I have the answer but want to know how to do it)

### Integral calculus

find the work required to pull up the anchor if the cable weighs 20 lb/ft in water

### Integral calculus

find the work required to pull up the anchor if the cable weighs 20 lb/ft in water

### Pre-Calculus

Locate the foci of the ellipse. Show your work. x^2/36+y^2/11=1 c^2=a^2-b^2 c^2=36-11 c^2=25 c= ± sqrt25 c= ±sqrt5*5 is this correct?

### Calculus

if the work required to stretch a spring 1 ft beyond its natural length is 12 ft-b, how much work is needed to stretch 9 inches beyond its natural length?

### calculus

Eight and one-half foot-pounds of work is required to compress a spring 3 inches from its natural length. Find the work required to compress the spring an additional one-half inch. (Round your answer to two decimal places.)

### calculus

A bucket that weighs 4 lb and a rope of negligible weight are used to draw water from a well that is 70 ft deep. The bucket is filled with 44 lb of water and is pulled up at a rate of 2 ft/s, but water leaks out of a hole in the bucket at a rate of 0.2 lb/s. Find the work done...

### calculus

A trough has a trapezoidal cross section with a height of 5 m and horizontal sides of width 2.5 m and 5 m. Assume the length of the trough is 14 m. How much work (in joules) is required to pump the water out of the trough (to the level of the top of the trough) when it is full...