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October 25, 2014

# Homework Help: Math: Calculus

calculus
If lim(f+g)=1 as x-->a and lim(f-g)=1 as x-->a find lim fg as x-->a
Wednesday, September 18, 2013 at 6:08pm

Calculus
Find the Indefinite Integral without u substitution of the following a)(8x-3)/(12x^6) b) 2sqrtx(5x-6) c) (4x+3)/xsqrtx d) (5x-6)^2 / sqrt x e) 16x^2 + x - 20 / 4x^2
Wednesday, September 18, 2013 at 4:32pm

Pre Calculus
So I only have 3 homework questions left and I can't seem to figure out how to solve. I've tried solving them, but I keep getting them wrong. Any help? Factor the polynomials: a) 3x^2 +19x - 40 b) x^4 - 25x^2 Simplify the expression completely: (1/(x-h)^3 - 1/x^3)/8h
Wednesday, September 18, 2013 at 11:15am

calculus
Find complete length of curve r=a sin^3(theta/3). I have gone thus- (theta written as t) r^2= a^2 sin^6 t/3 and (dr/dt)^2=a^2 sin^4(t/3)cos^2(t/3) s=Int Sqrt[a^2 sin^6 t/3+a^2 sin^4(t/3)cos^2(t/3)]dt =a Int Sqrt[sin^4(t/3){(sin^2(t/3)+cos^2(t/3)}]​dt=a Int Sqrt[sin^4(t/3...
Wednesday, September 18, 2013 at 4:19am

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 10:29pm

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
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

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