# Calculus

17,051 results

### 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 ...

### Finite Math

Fifty percent of students enrolled in calculus class have previously taken pre-calculus. Thirty percent of these students received an A for the calculus class, whereas twenty percent of the other students received an A for calculus. Find the probability that a student selected...

### Calculus

What is the use of Calculus? How is it use in jobs? What jobs use Calculus? Calculus is used in engineering, economics, any physical science, and in business (e.g., actuary studies and statistics).

### Calculus

Hellp I have a calculus test on Monday 2. Calculate the slope of the tangent to the given function at the given point or value of x a. f(x)=3/x+1,P(2,1) b.h(x)=2/squareroot x + 5, P(4,2/3) ****Full solutions to please because I do not know what I'm doing and so confused with ...

### Algebra

In an interview of 50 math majors, 12 liked calculus and geometry 18 liked calculus but not algebra 4 liked calculus, algebra and geometry 25 liked calculus 15 liked geometry 10 liked algebra but neither calculus nor geometry 2 liked geometry and algebra but not calculus. Of ...

### Calculus

What is the simplest solution to the Brachistochrone problem and the Tautochrone problem involving calculus? (I know that the cycloid is the solution but I need a simple calculus proof as to why this is the case)

### math

8. In an interview of 50 math majors, 12 liked calculus and geometry 18 liked calculus but not algebra 4 liked calculus, algebra, and geometry 25 liked calculus 15 liked geometry 10 liked algebra but neither calculus nor geometry 2 liked geometry and algebra but not calculus. ...

### Calculus

How do you simplify vectors? 1)AB + BC + CD 2) BC - FE - BA + DE - DC Calculus - Steve, Tuesday, September 22, 2015 at 11:39pm AB+BC = AC so, AB+BC+CD = AD BC-DC = BC+CD = BD See if you can use that idea to rearrange +/- terms so the ends line up in order Calculus - Anonymous...

### math-calculus

1.For any function y+f(x), express dy/dx using limit notation. Give a clear explanation for your given answer. you probably meant to type y=f(x) By definition dy/dx = Limit (f(x+∆x) - f(x))/∆x as ∆x-->0 The explanation of this equation is the whole basis ...

### calculus

Can someone please tell me what the word "WHOLE" AND "IRRATIONAL" MEAN IN CALCULUS? THANKS

### Math:Calculus

Use the Fundamental Theorem of Calculus to find the derivative of g(x)=1/(1+t^5)dt in the interval 1 to x.

### Calculus

Use fundamental theorem of calculus: Int(pi/2_pi) of e^(sin(q))*cos(q)dq

### calculus

Use the Fundamental Theorem of Calculus to find G'(x) if: G(x)=∫ up(x²) bottom(1) cost dt

### calculus

calculus. suppose dR/dt= (d/R)^(2) and P(1) 4. separate the differential equation, integrate both sides

### Calculus

Use the second fundamental theorem of calculus to find F'(x) F(x)=The integral from 0 -> x^2 (Sin(x)^2)dx

### Calculus Help

Use calculus to find the area A of the triangle with the given vertices. (0, 0), (3, 1), (1, 8) A = ????

### Calculus, bobpursley!

This has to do with my last Calculus problem. I need help on it..The part I replied to after you answered the question.

### Calculus

The area is bounded by y= x^3, x= 2 is rotated around the x-axis. Find the volume using calculus.

### math, calculus 2

Use part 1 of the Fundamental Theorem of Calculus to find the derivative of g(x)= integrate from 9x to 4x of ((u+4)/(u-1))du

### Calculus Precalculus

Answer the calculus question about Point P, 45 mph, etc. It is ALREADY posted on here.

### COLLEGE CALCULUS. HELP!

the fundamental theorem of calculus, f(x)=∫(0,x) t^3+2t^2+2dt, and find f"(x). my answer was: f'(x)=x^3+x^2+2 f"(x)=x^4/4 + 2x^3/3 + 2x it said its wrong.

### calculus

Find the arc length of the graph of y = x from x = 0 to x = 3 using calculus.

### calculus

I need help with this calculus problem. H(S)=S/(1+S) If F 1/2, -1/2 & (a+1)? I can't figure out what this mean /?

### calculus

Why do we end up with f(x) instead of f(t) on the second fundamental theorem of calculus?

### calculus

Use the Fundamental Theorem of Calculus to find G'(x) if: /x² G(x)= / cos t dt / 1

### Calculus 1

Use the fundamental theorem of calculus to find the area bounded by f(x)=3 square root of x+2x and the x-axis between x-=0 and x=1

### Calculus AP need help!

Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. If f(x)= ∫(4,x^3)√(t^2+10) dt then f '(x).

### Calculus

I need to take a college calculus class. Can someone direct me to a site which might help me get a good start? Thanks in advance.

### calculus

Use the fundamental theorem of calculus to evaluate the following integral ∫^π/2 **the bottom is zeroe. |cosx| dx

### Calculus

Use any calculus method to determine extrema, intervals where the function is increasing or decreasing, asymptotes,and points of inflection for y = -x^4 + 2x^3 - x + 2

### Calculus

Find the derivative of the following function using the appropriate form of the Fundamental Theorem of Calculus. intergral s^2/(1+3s^4) ds from sqrtx to 1 F'(x)=?

### Calculus

Integrate e^(-x^2/2) dx What branch of calculus is this? Is this differential equations?

### calculus

Find the limit of this calculus problem.? (5x-3)/(ln(5+4e^(x)) x=inf

### calculus

How can we verify area of square and rectangle by calculus ?

### Calculus

How can I efficiently study for a Calculus test with 8 sections?

### calculus

Can I have a website of Beginner calculus books?

### Calculus AB (AP)

Hi, I have a calculus test tomorrow and I understand how to complete all of the problems, but I am unsure behind the reasoning of taking two derivatives. Can someone please explain the following: 1. g(x)=e^(f(x)) g'(x)=e^(f(x))f'(x) 2. f(x)=Integral from 0 to 3x of the square ...

### calculus

hello here, Please can i get direction on website to practice calculus (both differential & integral) objectives based online. thanks.

### Calculus

How do I determine the area of a region bounded by a function and the x-axis if given y=cosx and interval is [0,ð/2]. This has to do with the Fundamental Theorem of Calculus. Thanks in advance!

### Calculus.......plz help! =)

Use any calculus method to determine extrema, intervals where the function is increasing or decreasing, asymptotes, and points of inflection for y = -x(x+1)^3

### calculus

Calculus A, Evaluate the following integral : ç (x^2+3x-2)dx

### calculus

Does anyone know of any free calculus websites? I'm taking a college class in the fall and would like to build my confidence since I am somewhat weak in math. Thank you in advance.

### Calculus Please Need Urgent3 :/

Find the derivative of the following function using the appropriate form of the Fundamental Theorem of Calculus. F(x)= (s^2)/(1+3s^4)ds from sqrtx to 1 F'(x)=? Thank you so much guys!

### Calculus

In calculus, the sum of an infinite geometric series whose first term is 1/20 is given by the complex fraction 1/20 _____ 1-r where r is the common ratio between the terms. Simplify this expression.

### COLLEGE CALCULUS. HELP!

the fundamental theorem of calculus, f(x)=∫(0,x) t^3+2t^2+ 2 dt, and find f"(x). my answer was: f'(x)=x^3+x^2 f"(x)=3x^2+2x it said its wrong. i don't know how solve with interval, ∫(0,x)

### Calculus - Fundamental Thm of Calc

Suppose F(t) is an antiderivative of t^{3}. Then F'(t)= t^3. According to the Second Fundamental Theorem of Calculus, x ∫ (t^3)dt = ??? 1 Answer using the function F

### Calculus

Need an answer to this Calculus Question. I keep getting this type of question wrong. Thanks. Differentiate the Function: y = (3x-1)^2(2-x^4)^2 y =

### Calculus

Apply the concepts of calculus (limits and derivatives) to describe the graph y = sec(x). Include a quality graph

### Calculus

estimate the absolute maximum and minimum values of f if any, on the stated interval, and then use calculus methods to find the exact values: f(x)=10ln(x^2+1)-8x; [0,3]

### calculus

Verify the identity: arctanx + arctan(1/x)=∏/2 using calculus theory. (Hint: Differentiate the left hand side of the identity)

### Calculus

I need help with these two review calculus problems for my final exam. What is the derivative of a). (5x^2+9x-7)^5 b). Lne^x^3 For a. I got 50x+45(5x^5+9x-7)^4 For b. I got 3x^2 Can you verify please?

### calculus

using the fundamental theorem of calculus what is the derivative of the definite integral from x^3 to sqrt x of (sqrt t) sin t dt

### Calculus

use te fundamental theorem of calculus to evaluate the integral Integral [0, pi/3] sin^2(x)dx I'm confused on what F(x) should be

### Calculus I Theorem

I factored and simplified dy/dx of 192x^5 + 96x^3 + 12x all the way down to x^2 = u = (-1/2) and (-1/6). How does the result illustrates part 1 of the Calculus Fundamental Theorem?

### Calculus - Find volume of cylinder

There is a cylindrical tank lying horizontally on the ground, its diameter is 8 feet, and length is 25 feet, the depth of the water currently in the tank is 2 feet. (1 gallon=231 cubic inches) How many gallons of water are in the tank? How many gallons of water will it take to...

### Calculus: Derivatives

I'm having trouble understanding what derivatives in calculus (instantaneous speed) is. Can someone please explain it to me, or provide some easy links to learn from? Thanks!

### Pre Calculus

Pre Calculus why is sin(-20)/cos 380 equal to tan (-200)

### Calculus

for the function F(t)=ln(t^2), let f(t)=F'(t). Write the integral from a to b of f(t) dt and evaluate it with the fundamental theorem of calculus. the integral from 1 to 3 ___ dt= __

### Calculus - Fundamental thm of Calc

Use the Fundamental Theorem of Calculus to find the derivative of f(x)=∫[4,x^2]((1/4)t^2−1)^15 dt

### Calculus I

Hello! I am taking Calculus I and am in Sec. 4.3 of Stewart's 7th Edition. I ran across a problem that I don't understand the mechanics of, could someone show me? Thanks a bunch! For what values of the numbers a and b does the function f(x)= axe^{b(x^2)} have the maximum value...

### Calculus

This is a calculus homework question but in reality the problem here is understanding the algebra. Find the Critical Numbers of f(x) = x^(3/5)(4-x) The product rule gives -x^(3/5) + (12-3x)/(5x^(2/5) My booklet explains that simplifying this gives you 12-8x / (5x^(2/5). How ...

### Pre-Calculus

I am in Honors Pre-Calculus and am having a hard time understanding my teacher. I feel so stupid. Does anyone have any suggestions on a website that might give me some insight into what I am doing wrong? Thanks!

### 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.

### Calculus--Reiny

Calculus - Reiny, Friday, December 23, 2011 at 6:59pm I read that as (4a^2-1)/(4a^2-16) * (2-a)/(2a-1) , my brackets are necessary = (2a+1)(2a-1)/( 4(a+2)(a-2) * (2-a)/(2a-1) the (2-a)/(a-2) are opposite, they will give you the -1 so.. = -(2a+1)/(4(a+2)) , again you have to ...

### 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 ...

### Calculus

Calculus Limit Problem: Evaluate the function at the given numbers (correct to six decimal places). Use the results to guess the value of the limit, or explain why it does not exist. f(x)=cosx-1/sinx x=1, .5, .4, .3, .2, .1, .05, .01 What should I do? A table of values??

### Maths Calculus Derivative Integral - Urgent Please

Use 2nd Fundamental Theorem of Calculus to find derivative of f(x) = integral of 2x^2 (at the top) to x-5 (at the bottom) of square root of Sin(x)dx

### Calculus

Calculate the interval of convergence. Sigma from n=1 to infinity of (n!*x^n)/n^n. Calculus - Steve, Friday, July 29, 2016 at 11:52pm try using the ratio test. You should be able to show that the series converges for |x| < e I tried and I got |x|lim n-infinity of |(n/n+1)^n...

### Calculus

Greetings, This is a question about selecting courses for my semester. I was planning to take Calculus 3 (Mostly 3-Dimensional topics involving calculus) and a C++ programing course. If you have heard of these courses, can you please tell me your thoughts about me taking these...

### calculus

Locate the position of Sun,using calculus---using differential euation on sign curve of Sun's path.

### To Reiny

Reiny could you please check my Calculus post below, it says Calculus--Reiny.

### Differential Calculus

Given that p=(2q^2-5)^2. when q=3, it is increased by 0.7%. find the appropriate percentage in p. solution dp = 2(2q^2-5) (2dq) dp = (4x(18-5)(0.7%) dp = 4(13)(0.7%) am lost from here is dp=52x0.7/100= 0.364% Responses Differential Calculus - bobpursley, Friday, August 14, ...

### Calculus I

Section The fundamental Theorem of Calculus: Use Part I of the fundamental Theorem to compute each integral exactly. 4 | 4 / 1 + x^2 dx 0

### Calculus

An important problem in mathematics is that of root finding: that is, given a function f (x), finding any roots of f in an interval. Exact methods exist for many functions: • In the case of a linear function f (x) = ax + b, this is easy. – If a ≠ 0, then x = −b...

### Calculus

Two cruise ships leave the same point outside St. John’s harbor at noon. Ship A travels west at 20 km/hr, while Ship B travels south at 25 km/hr. Using calculus, determine how fast they are separating from each other at 2:00 p.m.

### calculus

My a.p. calculus teacher doesn't know how to do this problem (like many others) so he's giving us 5 points extra credit on our test if we can figure it out, but I don't know how to do it: It's as the lim-->infinity (x+sinx)/(x+cosx) We know the answer is 1 because it's in ...

### gnozahs

I removed about ten questions you posted this morning. There was no indication of what you had done, what your thinking was, or what you wanted from us. We are not going to do homework for you. If you want hints on these calculus questions, say so, or ask what you want. Just ...

### CALCULUS

what is the derivative of ln(x-1)? If you are studying the calculus of logarithms your question surprises me, since that is one of the most basic ones in that topic. in general if y = ln("anything") then y' = 1/"anything" * derivative of "anything" just apply this rule and let...

### Pre-Calculus/Trivia

csc(theta)= 1/x sec(theta)= 1/ sqrt(1-x^2) cot(theta)= sqrt(1-x^2)/x What are these equations used for in real life matters or in regards to calculus? Can't seem to find the answer anywhere :/

### Calculus

An object at rest begins moving horizontally on the x-axis, starting at position x(t) = 0 feet at time t = 0 seconds.Suppose, after exactly 2 seconds we measure the position of the object to be 3 feet to the right of the origin AND measure the object to be moving to the ...

### Calculus 2

Calculus. Mary designed a new viewing window consisting of a rectangle and a semi circle for a fresh water aquarium. The window is as follows and the top is located 10 feet below the water's surface. How much force is on the window?

### Calculus

A curve is defined by the parametric equations: x = t2 – t and y = t3 – 3t Find the coordinates of the point(s) on the curve for which the normal to the curve is parallel to the y-axis. You must use calculus and clearly show your working, including any derivatives you need...

### Math/ Calculus Please HELP!!!

An object at rest begins moving horizontally on the x-axis, starting at position x(t) = 0 feet at time t = 0 seconds.Suppose, after exactly 2 seconds we measure the position of the object to be 3 feet to the right of the origin AND measure the object to be moving to the ...

### 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)?

### Applied Calculus-Question for Damon

Hi, I have two other questions for Applied Calculus but they have graphs and I am unable to post them in here. Is there a way you could help me out with the questions?

### 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 book

sorry i am new to this website. Do any of you know any website that offer free or cheap online book. Calculus Early Transcendentals, 10th Edition NEW! Howard Anton, Irl C. Bivens, Stephen Davis THANK U.

### Calculus

For the decomposition of Carbon 14, find the age of a prehistoric cave painting discovered in the Lascaux Caves in southern France if the amount of Carbon 14 has decayed to 14.29%...again using calculus formulas. Not sure how to use this equation (content section of course ...

### math (calculus)

you have 704m of fencing to enclose 3 adjacent plots(not the same size) you must use calculus to fine the dimensions for which the total area is as large as possible. Find the largest possible total area.

### ap calculus

How is the ap calculus AB and BC test? Is there any online practice test?

### Calculus

What does y'' mean in calculus? Is there a word for it? Also is there a word for f'(x)? Thanks.

### Calculus

The curved section can be modelled by the parabola y=3x-3/4x^2 Use calculus to find the maximum height of the curved parabolic section. How do I do this step by step?

### 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

Use Fundemental Theorem of Calculus part 1 to find the derivatives of the following: (i) F(x)=Integral ( top3, bottom x) e^-t^2 dt (ii) G(theta)=Integral ( top cos theta, bottom sin theta) 1/1-x^2 dx

### statistics

On this semesters final exam, john scored 72 on his calculus exam and 53 on his statistics exam. The z score for both exams was the same. Which on would he do better on? a. calculus b.statistics c. the exam scores are equivalent

### statistics

On this semesters final exam, john scored 72 on his calculus exam and 53 on his statistics exam. The z score for both exams was the same. Which on would he do better on? a. calculus b.statistics c. the exam scores are equivalent

### Calculus

If I derive the following, d/dt((a)S(t^2) of (s)^(1/2)ds with S being integral notation (a) being at the bottom of the notation and being a constant (t^2) being at the top of the notation ..I first apply the fundamental theorem of calculus to get.. (t^2)^(1/2) (2t) simplified ...

### Calculus Graph help!!!

I need help with a calulus graph and figuring out its equation but it wont let me post the picture of the graphs here. so will someone who understands Calculus and their graphs super well please email me k m k underscore horse lover at hot mail dot com. no spaces and an actual...

### Math, calculus, advanced functions, pre calculus

An investments value, V(t) is modelled by the function V(t)=2500(1.15)^2, where t is the number of years after funds are invested A) find the instantaneous rate of change in the value of the investment at t=4, what intervals would you choose? Why? My question is ... Which ...