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October 23, 2014

October 23, 2014

**Recent Homework Questions About Calculus**

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**Calculus**

Your Porsche's gas mileage (in miles per gallon) is given as a function M(x) of speed x in miles per hour. It is found that M'(x) = 3,600x−2 − 1/ (3,600x−1 + x)2. Estimate M'(10), M'(60), and M'(90). (Round your answers to seven decimal ...
*Tuesday, September 17, 2013 at 10:17pm*

**Calculus derivative**

find the slope m and an equation of the tangent line to the graph of the function f at the specified point. original: x^2/x+10 point: (3,9/13) After I found the derivative: (x+10)(2x)-(x^2)(1)/((x+10))^2 How do I get the slope? Should I put 3 into the derivative equation?
*Tuesday, September 17, 2013 at 6:19pm*

**calculus (derivativs)**

Find the points on the graph of f where the tangent line is horizontal. original: x/x^2+25) After I did the quotient rule I got: (x^2+25)(1)-(x)(2x)/((x^2+25))^2 Then of course I know you set that equal to 0, but I do not know how to set it up or "finalize" the ...
*Tuesday, September 17, 2013 at 5:57pm*

**Calculus (derivatives)**

Find the points on the graph of f where the tangent line is horizontal. x/x^2+25 I know you have to do the quotient rule to find the derivative, but then I do not know what to do after that.
*Tuesday, September 17, 2013 at 5:41pm*

**calculus**

Find dy/dx, if y= 5e^x/cosx
*Tuesday, September 17, 2013 at 6:15am*

**calculus**

Find dy/dx, if y= (sinx)^-1
*Tuesday, September 17, 2013 at 6:13am*

**calculus**

to find value of x and discontinous 9x²-3x-2/3x²+13x-4
*Tuesday, September 17, 2013 at 4:24am*

**AP Calculus**

Consider the function f(x)= abs(x)(x-3)/9-x^2 a) what is the domain of f? What are the zeros of f? b) find all nonremovable discontinuities of f c) determine all vertical and horizontal asymptotes of f
*Monday, September 16, 2013 at 10:59pm*

**calculus**

Meg's pension plan is an annuity with a guaranteed return of 4% per year (compounded quarterly). She would like to retire with a pension of $20,000 per quarter for 10 years. If she works 30 years before retiring, how much money must she and her employer deposit each quarter?
*Monday, September 16, 2013 at 10:31pm*

**Calculus**

A position function has the positions listed below. t 2 4 7 10 12 f(t) 34 98 155 205 271 Approximate the instantaneous velocity at t=5. show work.
*Monday, September 16, 2013 at 9:41pm*

**Calculus**

What is the limit (as u--->2) of square root(4u+1)-3/u-2. I got 1 as an answer, but I want to check if that's right. I heard it could be something else so I'm unsure and doubtful of my answer.
*Monday, September 16, 2013 at 1:32pm*

**calculus**

Find circumference of the circle r=2acos theta. s= Int (0 to 2pi) of Sqrt(4a^2cos^2 theta+4a^2sin^2 theta)d theta =Int (0 to 2pi)2a*Int theta d theta =2a(2pi-0)=4a*pi Book shows 2a*pi. Am I wrong somewhere?
*Monday, September 16, 2013 at 4:10am*

**Calculus**

f(x) = 4/5x i need to find the derivitave but i don't know how to start this one. I know the derivitave of 4 is just zero, and i know the derivative of 5x is 5. But the answer isn't 0/5. Help please.
*Sunday, September 15, 2013 at 9:39pm*

**Calculus**

Find k such that the line [y=5x-4] is tangent to the function : x^2-kx
*Sunday, September 15, 2013 at 1:32pm*

**calculus **

evaluate lim x aproches -1 x^2+6x+5/x^2-3x-4
*Saturday, September 14, 2013 at 7:27am*

**Math - Averages**

The test average for Louis' calculus class is found by taking the arithmetic mean of his four best test scores. If his first four test scores are 65,82,76 and 87, what score must he get on the fifth test to raise his test average to an 85?
*Friday, September 13, 2013 at 11:04am*

**calculus (integral)**

evaluate the integral: integral of 13/(x^3 - 27) dx
*Friday, September 13, 2013 at 2:45am*

**AP Calculus**

I asked this yesterday and someone answered. but i didn't understand the explanation.. Two circles of radius 4 are tangent to the graph of y^2=4x at the point (1,2). Find equations of these two circles. I got (x-1)^2+(y-2)^2=16 and (x-4.36)^2+(y+1.36)^2=16
*Thursday, September 12, 2013 at 4:53pm*

**Calculus**

Find arc length of y=logx from x=1 to x=2. dy/dx)^2=1/x^2 arc length=Int of [sqrt(1+1/x^2)]dx =Int of [sqrt(1+x^2)/x^2] =Int of [sqrt(1+x^2)]/x from x=1 to x=2. How to proceed further to integrate?
*Thursday, September 12, 2013 at 4:20am*

**Calculus**

I'm reviewing for a test tomorrow and two of the questions on the review had me a little stumped. Lim Sq. Rt.(x+5) - Sq. Rt (5) all divided by X-->0 X I was able to rationalize and ended up with (X)/ x ((sq. rt.(x+5))+ sq. rt.(5)) which gives me 1/ sq. rt.(5)+ sq. rt.(5...
*Thursday, September 12, 2013 at 2:52am*

**Calculus **

You are creating a rectangular garden and want to surround it with brick edging. You also are going to divide it into two halves with the edging so that your vegetables and herbs are on one side and flowers are on the other. You only have 120 ft worth of brick edging and want ...
*Wednesday, September 11, 2013 at 9:14pm*

**Pre-Calculus**

Perform the indicated operation, then simplify. 5a2 + 12a + 4/a4 − 16 ÷ 25a2 + 20a + 4/a2 − 2a I think I'm supposed to switch the top and bottom, and then multiply. Is this correct?
*Wednesday, September 11, 2013 at 7:58pm*

**AP Calculus**

A projectile fired upward from ground level is to reach a maximum height of 1,600 feet. What is its initial velocity?
*Wednesday, September 11, 2013 at 5:22pm*

**AP Calculus**

Two circles of radius 4 are tangent to the graph of y^2=4x at the point (1,2). Find equations of these two circles. I found the derivative of y^2=4x, but i don't know what to do next!
*Wednesday, September 11, 2013 at 5:21pm*

**Pre-Calculus **

3x^2 + 8 = -4
*Wednesday, September 11, 2013 at 4:58pm*

**Calculus**

Find the limit of the sequence {√(2), √(2√(2)), √(2√(2√(2))),...
*Tuesday, September 10, 2013 at 8:26pm*

**Maths-Calculus **

If f(2)=1 and f(2+h)=(h+1)3, compute f′(2). If f(−1)=5 and f(−0.9)=5.2, estimate f′(−1). If the line y=−3x+2 is tangent to f(x) at x=−4, find f(−4). Your answer should be expressed as an integer. If the line y=x−1 is ...
*Tuesday, September 10, 2013 at 5:08am*

**calculus**

Integral sin 8x/2 cosx/2 dx
*Tuesday, September 10, 2013 at 12:18am*

**calculus**

Integral -csc^2 (2x+9)dx
*Tuesday, September 10, 2013 at 12:17am*

**calculus**

integral cos(4z-5)dz
*Tuesday, September 10, 2013 at 12:17am*

**calculus**

integral 3z^6 sqrt(2-3z^7)dz
*Tuesday, September 10, 2013 at 12:16am*

**calculus**

Use the indicated substitution to evaluate the integral integral 18sec(2x) tan(2x)dx, u=2x
*Tuesday, September 10, 2013 at 12:15am*

**calculus**

find the points on a graph of f where the tangent line is horizontal. f(x)= x^3 - 18x^2 (x,y)= (smaller x value) (x,y)= (larger x value)
*Sunday, September 8, 2013 at 10:03pm*

**Calculus/Physics?**

Define a function f(v)={c:v€[0,v(subscript)0) 0 : v€ [v(subscript)0,+∞} On v €[0,+∞). Here and v(subscript)0 are positive constants. A) Compute ∫v=0,+∞; f(v)dv B) Suppose c=1/v(subscript)0, find ∫v=0,+∞;v f (v)dv
*Sunday, September 8, 2013 at 6:10pm*

**Math**

Okay, I'm in a calculus class but stuck on some algebra...it's not crucial that I get the answer to this but I'm wracking my brain because I can't remember how the following is obtained; if you can show me how this is done in steps I'd greatly appreciate it...
*Sunday, September 8, 2013 at 4:48pm*

**calculus**

An electrical circuit switches instantaneously from a 3 volt battery to a 23 volt battery 6 seconds after being turned on. Sketch on a sheet of paper a graph the battery voltage against time. Then fill in the formulas below for the function represented by your graph. For t<...
*Sunday, September 8, 2013 at 3:08pm*

**calculus**

use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given curves about the x-axis. sketch the region and a typical shell. x=1+y^2, x=0, y=1, y=2
*Sunday, September 8, 2013 at 2:28pm*

**calculus**

find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. sketch the region and a typical disk or washer. y^2=x, x=2y; about the y-axis i am confused because i do not know how to set it up because one is Y and the other ...
*Sunday, September 8, 2013 at 2:27pm*

**calculus **

find the area enclosed by the given curves. y=squareroot of x y=x/2 x=9 * i just graph it but do not know how to set it up the equation or anything.
*Sunday, September 8, 2013 at 2:23pm*

**Calculus**

Find a number, delta, such that if |x-2|<delta, then |4x-8|<0.1 I don't have a clue how to begin this. My teacher just started off the lesson with this without any explanation so I am at a loss. A step-by-step explanation would be very much appreciated!!
*Saturday, September 7, 2013 at 6:30pm*

**calculus**

After solving with A=(-1,2) x^2+2x^2+x+1 got 119/12a pls where did i get it wrong. And with -[(-55)] x^2-25dx i got -50 pls am i correct
*Saturday, September 7, 2013 at 1:24am*

**calculus**

integrating e^1/3dx i got 3e1/3 +c pls am i right
*Friday, September 6, 2013 at 11:43pm*

**calculus**

find the area enclosed between the x-axis and the curve, if y=x^2-25 for (-5) is less than or equal to x less than or equal to 5
*Friday, September 6, 2013 at 10:56pm*

**calculus**

find the area enclosed between the x-axis and the curve, if y=x^3 and the straight line y=x
*Friday, September 6, 2013 at 10:52pm*

**calculus**

find the area enclosed between the x-axis and the curve, if y=x^3+2x^2+x+1 between x=-1 and x=2
*Friday, September 6, 2013 at 10:50pm*

**calculus**

Determine l= 2e^xdx, given that l=50.2, when x=3
*Friday, September 6, 2013 at 10:34pm*

**calculus**

int 7/(2x-5)dx =
*Friday, September 6, 2013 at 10:31pm*

**calculus**

int -1,0x^3dx =
*Friday, September 6, 2013 at 10:29pm*

**calculus 2**

Integral of 63x(cos(x))^2 dx I got: 63x^2/4 +63sin(2x)/4 +63cos(2x)/8 +C I keep getting this answer but the online site says it's wrong.
*Friday, September 6, 2013 at 9:30pm*

**calculus**

int 0^1e^2edx =
*Friday, September 6, 2013 at 7:39am*

**calculus**

intergal xcosax^2dx =
*Friday, September 6, 2013 at 7:38am*

**calculus**

int e^5xsin3xdx =
*Friday, September 6, 2013 at 7:34am*

**calculus**

int dx/3sinx+4cosx dx =
*Friday, September 6, 2013 at 7:32am*

**calculus**

int cos6xcos4xdx =
*Friday, September 6, 2013 at 7:21am*

**calculus**

int e^5xsin3xdx =
*Friday, September 6, 2013 at 7:15am*

**calculus**

int x^2/(x-2)(x^2+1)dx
*Friday, September 6, 2013 at 7:13am*

**Calculus **

The region bounded by y=-x^2+14-45 and y=0 is rotated about the y-axis, find the volume.
*Thursday, September 5, 2013 at 2:55pm*

**Pre-Calculus**

How to find domain of: y = -3 + ãx+6
*Tuesday, September 3, 2013 at 7:29pm*

**calculus**

Some scientists believe that the average surface temperature of the world has been rising steadily. They have modeled the temperature by the linear function T = 0.02t + 8.75, where T is temperature in °C and t represents years since 1900. (a) What do the slope and T-...
*Tuesday, September 3, 2013 at 2:08pm*

**MATH/CAREER**

If I want to be a pharmacist should I take IB Calculus or Math 251&252 in high school ?
*Monday, September 2, 2013 at 9:28pm*

**Calculus**

State the domain and range for each: f(x) = 4x + 1 and g(x) = x^2 f(x) = sin x and g(x) = x^2 - x + 1 f(x) = 10^x and g(x) = log x
*Monday, September 2, 2013 at 4:36pm*

**Calculus**

Math questions, please help me? :(? Find the composite functions f o g and g o f for the given functions. f(x) = 10^x and g(x) = log x State the domain and range for each: f(x) = 4x + 1 and g(x) = x^2 f(x) = sin x and g(x) = x^2 - x + 1 f(x) = 10^x and g(x) = log x If f = {(-2...
*Monday, September 2, 2013 at 4:08pm*

**Calculus**

Find the sum and difference functions f + g and f – g for the functions given. f(x) = 2x + 6 and g(x) = 2x - 6 f(x) = x^2 - x and g(x) = -3x + 1 f(x) = 3x^3 - 4 and g(x) = -x^2 + 3 State the domain and range for the sum and difference functions in #3. Find the product and...
*Monday, September 2, 2013 at 4:08pm*

**Math-Calculus **

Hi, I am trying to figure out what the limit as h approaches 0 of (1-2h)^(1/h) is. I am unfamiliar with the process I am supposed to use to solve this limit. I have just been reasoning out this limit, but I keep getting the answer, 1^(infinity)=1. My thinking when working with...
*Saturday, August 31, 2013 at 7:02pm*

**Calculus **

Differentiate: y=sin(2z)+cos^2z
*Thursday, August 29, 2013 at 6:50pm*

**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.
*Thursday, August 29, 2013 at 6:13pm*

**Calculus**

You have just opened a new nightclub, Russ' Techno Pitstop, but are unsure of how high to set the cover charge (entrance fee). One week you charged $9 per guest and averaged 165 guests per night. The next week you charged $10 per guest and averaged 150 guests per night. (a...
*Thursday, August 29, 2013 at 1:29pm*

**Calculus**

You have just opened a new nightclub, Russ' Techno Pitstop, but are unsure of how high to set the cover charge (entrance fee). One week you charged $9 per guest and averaged 165 guests per night. The next week you charged $10 per guest and averaged 150 guests per night. (a...
*Wednesday, August 28, 2013 at 5:09pm*

**calculus 2**

Can you give us an example of finding the speed from the velocity? Suppose your velocity was v(t) = 2ti - 3j. What would be the speed?
*Tuesday, August 27, 2013 at 11:35pm*

**Calculus**

Find the limit as x approaches 0 of (tan6x)/(sin2x)
*Sunday, August 25, 2013 at 4:57pm*

**AP Calculus**

Find an equation of the tangent line to the graph of f at the given point. f(x)=27/(x^2+9) (-3,3/2) I got y=x/2+3, but I don't think its right.. please help!
*Saturday, August 24, 2013 at 5:20pm*

**Calculus**

Given that f(x)= x^3 i f x≥0 x i f x<0 which of the following functions is even? I. f(x) II. f(|x|) III. |f(x)|
*Friday, August 23, 2013 at 5:07pm*

**Calculus**

Find the derivative of y=[6(x^3/2)]/x thankyouu! i got 9sqrtx but i don't think that's right!
*Tuesday, August 20, 2013 at 5:32pm*

**Calculus**

Find the limit of the following as x ->2 6-x, if x<2 2x+1, if x is greater than or equal to 2
*Tuesday, August 20, 2013 at 4:42pm*

**Math**

Is IB Math Studies the same as Pre-Calculus? I heard that IB Math Studies is for students who have a low background in math. Is that right?
*Tuesday, August 20, 2013 at 2:02am*

**Calculus**

Rainflow is a new U- Shaped system of guttering. The cross section is a semi circle with a radius of x topped by an open rectangle of height h. The total distance ABC is 20cm For which values of x and h will rainflow carry the most water ?
*Monday, August 19, 2013 at 4:47am*

**Calculus**

Skateboarders Velocity is given as v=3t-0.2t^2 What is his max velocity
*Monday, August 19, 2013 at 2:30am*

**Calculus **

The limit as X approaches 8 of (2- cube root of x)/ (x-8)
*Sunday, August 18, 2013 at 10:07am*

**Calculus**

Find the limit of x as it approaches zero. (Sin^2 8x)/x^2
*Sunday, August 18, 2013 at 9:40am*

**calculus**

how would you solve a problem like this for X: (1/3=(3^2x+2)
*Sunday, August 18, 2013 at 12:01am*

**Calculus **

Find the limit of the function as x approaches -3 (2x^2 +4x+1) I'm not sure if you would break it apart using te theorems or direction substitue -3 into the equation?
*Sunday, August 11, 2013 at 4:09pm*

**Calculus**

Find the point on the line -3x+5y-5=0 which is closest to the point (-4,0). Please Help!
*Thursday, August 8, 2013 at 4:04pm*

**Calculus**

Express the area of the region in the xy-plane enclosed by the curve ((x^(2))/(9))+((y^(2))/(4))=1 in terms of an integral.
*Tuesday, August 6, 2013 at 2:01pm*

**Calculus**

Let A(x)=∫x^(2),∞; (e^-t/t)dt for x>0. Find A'(x)
*Tuesday, August 6, 2013 at 1:04pm*

**Calculus**

Let f(x)=|x+1|/(x^(2)-1). Sketch the graph of y=f(x) for -4<=x<=4.
*Tuesday, August 6, 2013 at 9:27am*

**Calculus**

Let A(x)=∫x^(2),∞, ((e^(-t)/(t))dt for x>0. Find A'(x).
*Tuesday, August 6, 2013 at 6:11am*

**Calculus**

Let f(x)=|x+1|/(x^(2)-1). Is f continuous? If not,classify any points of discontinuity as infinite, jump, or removable. Sketch the graph of y=f(x) for -4<=x<=4
*Monday, August 5, 2013 at 2:42pm*

**Calculus**

Find the equation of the tangent line to the curve x^(3)+3xy+y^(3)=1 at the point (1,0).
*Monday, August 5, 2013 at 2:14pm*

**Calculus **

Let f(x) = \sqrt[3] x. The equation of the tangent line to f(x) at x = 8 is y = (1/12)(x-8)+2. Using this, we find our approximation for sqrt[3] {8.1} is ?
*Monday, August 5, 2013 at 1:48pm*

**Calculus**

Find the derivative: y=x^(sin(x))
*Monday, August 5, 2013 at 12:54pm*

**Calculus**

Find the domain, range, and inverse of the function f(x)=arcsin(sqrt(x))
*Monday, August 5, 2013 at 11:57am*

**Calculus **

Let f(x) = x ^3. The equation of the tangent line to f(x) at x = 5 is y=75x - 250 What is the approximation for 4.6 ^3?
*Monday, August 5, 2013 at 11:41am*

**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.
*Monday, August 5, 2013 at 11:38am*

**Calculus **

The function f(x) = (9 x+2)e^{-6 x} has one critical number. Please help me find the critical number!
*Monday, August 5, 2013 at 9:24am*

**Calculus **

Consider the function f(x) = x^4 - 72 x^2 + 3, -5 less than or equal to x less than or equal to 13. This function has an absolute minimum value equal to and an absolute maximum value to
*Monday, August 5, 2013 at 9:23am*

**Calculus **

Find the linear approximation of f(x)=\ln x at x=1 and use it to estimate \ln 1.47.
*Monday, August 5, 2013 at 9:14am*

**Pre Calculus 2**

A ship regularly travels between two ports that are 350 miles apart. When traveling directly from A to B, the ship sails on a bearing of . However, to avoid a storm, one day the ship leaves A on a bearing of and travels for 6 hours at 17mph. When the bad weather has passed, it...
*Sunday, August 4, 2013 at 3:45pm*

**Writing**

Writeacher,when is the best time for me to post this so that you are available? Prompt: New laws are being proposed that would require schools to accommodate students who wish to transfer to a different school if the school falls below a certain level on statewide standardized...
*Sunday, August 4, 2013 at 12:28am*

**Maths- Calculus **

a sheet of cardboard is to be folded up to make a closed box. If the cardboard measures 55 cm by 80cm calculate the maximum volume of the box that can be made from this sheet of cardboard
*Saturday, August 3, 2013 at 8:37pm*

**differential calculus**

a bed is in a form of a circular sector. find its radius if the area of the sector is 1000 centimeter square and its perimeter is a minimum
*Wednesday, July 31, 2013 at 7:38am*

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