Saturday

July 4, 2015

July 4, 2015

Number of results: 36,280

**Calculus**

1. If the tangent line to y=f(x) at (4,3) passed through the point (0,2), find f(4) and f'(4). My answer: f(4)=3 f'(4)=1/4
*October 17, 2014 by Anonymous*

**AP calculus**

Find values for x and/or y on the graph of x^2-2y^2+9x+8y-276=0 for which there is a vertical tangent line
*November 30, 2014 by DJjazzyjazz*

**AP Calculus**

Find all points on the graph of f(x)=-x^3+3x^2-2 where there is a horizontal tangent line.
*November 30, 2014 by Sarah*

**Math**

For what value of b will the line y=-2x+b be tangent to the parabola y=3x^2+4x-1? Show work-2 marks
*January 15, 2015 by Alex*

**math**

For what value of b will the line y=-2x+b be tangent to the parabola y=3x^2+4x-1 ? (Show your work - 2 marks)
*January 23, 2015 by Alex*

**math**

For what value of b will the line y=-2x+b be tangent to the parabola y=3x^2+4x-1 ? (Show your work - 2 marks)
*January 23, 2015 by Alex*

**math**

Find the product and enter the real and imaginary parts below. Note that you do not need to type in the since it is already given to you. Simplify your square roots as much as possible. sqrt-27((sqrt-5)-(sqrt-11))
*September 13, 2011 by john*

**Calc.**

Evaluate the indefinite integral. Please check my work? Not sure if I am doing this correctly. S= integral symbol S x^3*sqrt(x^2 + 1) dx u = x^2+1 x^2= u - 1 du = 2xdx du/2 = xdx 1/2 S x^2 * x sqrt (x^2 + 1) du 1/2 S (u - 1) * sqrt (u) du multiply square root of u and (u - 1) ...
*January 27, 2011 by CMM*

**math help & correction**

Problem #1 Is this correct or wrong? Find the slope of the line passing through the points(-1, -1)and(-1, 2). Write the equation of the line. For this one I KEEP GETTING Y= - (3)/(2)x-2.5 Problem #2 Find the y-intecept and slope of 7x+9y=72 My answer: Slope is: - (9)/(8) y-...
*March 31, 2007 by jacky*

**math,correction**

is this correct: solve: 5(x-2)^2=3 My answer: (10 +/- sqrt 15)/(5) looks like you expanded, then used the formula and you got the right answer properly reduced. I think you are getting this!!! I don't want to confuse you but I would have done the following: (x-2)^2 = 3/5 x-2...
*April 19, 2007 by jasmine20*

**math**

what way would the line face with the linear equation y=-1/3x+5? A)A line going through the 5 up to the right B)A line going down from 5 c)A line going thru -5 and up D)A line going through positive 1 and to the left. Is it d
*May 23, 2014 by Gwen*

**algebra**

identify the equation of the line through (-1,-4) and parallel to y=-6x+4 i got y=6x+10 Isn't the slope of the original line from y=-6x+4 equal to -6. Your solution has a slope of +6. Are those two lines parallel? i have to identify the equation of a line passing through ...
*December 14, 2006 by eddie*

**Algebra - equation**

What equation represents a line parallel to the line given by y-3x=6?
*May 18, 2009 by randi*

**Algebra**

What is the equation of the line that passes through (-6,-2) and is parallel it the line with the equation x=4
*April 8, 2015 by Jay*

**algebra**

The equation y = 6x – 50 describes the amount of money a class of students might earn from candy bar sales. What are the slope and y-intercept of this line? In the general linear equation y = mx + b, m is the slope and b is the y-intercept. The y intercept is the value of y ...
*May 13, 2007 by stressed*

**Geometry equation**

I do not understand how to work a problem or equation out for geometry. The equation refers to two parrellel lines that have a transversal line running diagonal through each one. The exterior anglebottom left part of the top parrellel line, measures at 52 degrees. how do I ...
*May 11, 2010 by BWB*

**Math**

If line g passes through point (2, 2) and is perpendicular to the line h, then what is the equation of line g?
*January 24, 2011 by Ant*

**geometry**

Write an equation of the line parallel to Line AB that contains point C. Line AB: y = -5x + 12; C(-2, 1)
*October 12, 2014 by Hollister*

**maths**

Choose the option that gives the solution of the initial-value problem dy dx=(1 + 2 cos2x^2)/y (y > 0), y= 1 when x = 0. Options A y = 1+ 2sin^2 x B y = (1 + 2 sin x)^2 C y = (4x + cos(2x))^2 D y = 4x + cos^2 x E y =sqrt(4x + cos(2x) F y =sqrt(1 + 4x + sin(2x)) G y =1/(sqrt...
*May 11, 2011 by albert*

**Math**

1. The curve y=10/2x+1 -2 intersects the x-axis at A. The tangent to the curve at A intersects the y-axis at C. (i) Show that the equation of AC is 5y+4x=8 (ii) Find the distance of AC 2. The equation of a curve is y=1/6(2x-3)^3-4x (i) Find dy/dx (ii) Find the equation of the ...
*January 14, 2013 by Stephen*

**Math**

Use differentials (or equivalently, a linear approximation) to approximate sin(27 degrees) as follows: Let f(x) = sin(x) and find the equation of the tangent line to f(x) at a nice point near 27 degrees. Then use this to approximate sin(27 degrees).
*December 12, 2014 by Anonymous*

**geo**

A line contains the points (8, 9) and (–12, –7). Using point-slope form, write the equation of the line that is parallel to the given line and that passes through (–5, –15).
*August 7, 2014 by me*

**chem**

λ for one line of the hydrogen spectrum is .4118 x 10-4 cm. Use this value in the Rydberg equation to calculate the RH value using n1 = 2, and n2 = 5. change the line spectrum to meters you know the equation is Et= Ef-Ei (i think is the equation they want you to use, i ...
*October 2, 2006 by Mary*

**college algebra**

Find the product and enter the real and imaginary parts below. Note that you do not need to type in the since it is already given to you. Simplify your square roots as much as possible. sqrt-27((sqrt-5)-(sqrt-11))
*September 13, 2011 by john*

**eigenvalues/eigenvectors**

The matrix; [ 1 -2 0] [-2 -1 1] [ 0 0 -1] I have found the eigenvalues to be -1 and +/- 5^1/2 but am having problems putting the root 5 values a eigenvectors. I know I sub it back into the matrix { x-1 -2 0 } { -2 x+1 1 } { 0 0 x+1} but then it gets messy. Can someone finish ...
*March 10, 2007 by Rom*

**inverse**

find f^-1 (x). (this is asking me to find the inverse) f(x) = -(x-2)^2, x <= 2 how do I solve this problem? find f^-1 (x). (this is asking me to find the inverse) f(x) = -(x-2)^2, x <= 2 how do I solve this problem?>> If f(x)=-(x-2)^2 x<-2, then let y=f(x) - y...
*July 11, 2006 by kristie*

**Math Linear Equations**

Two lines are drawn on a co-ordinate axis. The equation of the first line is y=-2,and the equation of the other line is y=3x+1. What are the co-ordinates of their intersection point? I have been on this for hours and can't figure out how to do this. Please help. Thank you
*January 2, 2015 by Cherie*

**Math **

The quantity sqrt(45)- 2sqrt(5) +sqrt(360/2) can be expressed as sqrt(N), where N is an integer. Find N. * the whole fraction 360/2 is squarerooted.
*December 5, 2014 by Matt *

**Math/Physics**

For a velocity-time graph, what does the "tangent line of the curve" represent?
*July 13, 2008 by Matt*

**calculus**

Find the slope of the tangent line to the graph of the function at the given point. g(x) = 3 x + 4, (-4, 1)
*March 2, 2010 by B*

**Math**

Use the fact that (125)^1/3 = 5 and the tangent line approximation to estimate (123)^1/3
*March 13, 2010 by Chris*

**calculus**

Find the number c if the line y=x is to be tangent to the graph of f(x)=x^4+c. what are the coordinates of the points of tangency?
*October 18, 2010 by Dom*

**Calculus**

Find the x-coordinates of all points on the graph of y=x^3 - 4x^2 + 5x at which the tangent line is horizontal.
*November 16, 2010 by Drew*

**Math**

What are is the 4 step process when finding the slope of the tangent line at any given point?
*February 8, 2011 by Anonymous*

**Calculus**

What is the 4 step process when finding the slope of the tangent line at any given point?
*February 11, 2011 by Anonymous*

**calculus**

f(x)=3-5x , (-1,8) find the slope of the tangent line to the graph of the function at the given point
*February 11, 2011 by art*

**math**

How do I find the slope of the line tangent to the graph of each function at the given points? y=x^2+2x-8
*March 22, 2011 by Tracie*

**Calculus**

Determine the point(s) (if any) at which the graph of the function has a horizontal tangent line for y=(3^1/2)x+2cos(x), 0¡Üx<2¦Ð
*October 3, 2011 by Susana*

**Calculus**

Find the slope of the tangent line to the curve 2(x^2 + y^2)^2 = 25(x^2 - y^2) at the point (3,1). Thank you very much for your help.
*November 5, 2011 by Jake UCD 11/5/11*

**Calculus**

Find the positive value of x where fx=x3+2x1/3 has a horizontal tangent line. Answer =
*February 10, 2012 by TG*

**MATH**

Find the slope of the tangent line to the graph of the function at the given point. g(x) = 7/2x + 9, (-2, 2)
*February 13, 2012 by Anonymous*

**MATH**

Find the slope of the tangent line to the graph of the function at the given point. g(x) = 7/2x + 9, (-2, 2)
*February 13, 2012 by Anonymous*

**Math**

Find the points at which the relation 3x^2-2xy+y^2=24 has a vertical or horizontal tangent line.
*April 2, 2012 by Mary*

**trig**

find the values of x between 0 and 2 pi where the tangent line to the graph of y = sinxcosx is horizontal
*May 13, 2012 by Jom*

**calculus**

what is the slope of the tangent line passing through the point (2,3) of the graph of this function? f(x)=x^2+2x-5 A 1 B 2 C 3 D 4 E 6
*November 26, 2012 by Disha*

**maths**

Find parametric equations of the line that is tangent to the parabola y = x^2 at the point (−2, 4).
*December 11, 2012 by ramesh*

**Calculus**

Use a tangent line approximation at x=0 to estimate the value of sin(-0.1). I got 0.1
*March 26, 2014 by Anonymous*

**Calculas**

find the tangent line of the following function Y=2sinx + sinx^2 at the points Pi/6,5/4
*October 26, 2014 by Bashar*

**calculus**

Help! I have a test tommorow! I don't understand (b), (c), (e), and (g). The answers are listed following the each question. Here's a discription of the graph: There is a graph of a function f consists of a semi circle (-3 to 1 faced downward on the x-axis) and two line ...
*October 26, 2007 by Anonymous*

**Pre-Calculus Questions**

Hi! Can someone help me with these? Thanks! 1.) Determine the slope and the y-intercept of the equation of the line passing through the points (-5, 3) and (1, -3). Write the equation of the line in slope intercept form. 2.) Determine the x- and y- intercepts and use them to ...
*September 19, 2014 by Lanie*

**algebra**

write the equation of a line parallel to the given line but passing through the given point y=x+4;(-7,1) discuss the steps necessary to carry out each activity. describe what each line looks like in relation to the original given line
*February 5, 2013 by Anonymous*

**Algebra 2 ..**

Solve the equation by completing the square. x^2-2=9x My answer: x=9/2+or- the sqrt. of 22.25 (but when I checked my answer the actual answer was x=9+or - the sqrt. of 89 and then all over 2) Please explain why my answer is different from the actual answer.
*December 25, 2012 by Anonymous*

**Algebra 2 ..**

Solve the equation by completing the square. 3x^2+4x=1 My answer: x=-2+or- sqrt. of 39 all over 3. When I checked my answer how come it was x=-2+or-sqrt. of 7 all over 3?
*December 25, 2012 by Anonymous*

**calculus**

Find the length of the arc formed by y = (1/8)(4x^2-2ln(x)) from x=4 to x=8. I found the derivative of the function and got y'= x-(1/4x) Where I'm lost now is after plugging it into the arc length equation: integral of sqrt(1+(x-(1/4x))^2). Squaring the derivative yields me ...
*August 24, 2008 by Arc Length*

**Calculus (Please check my work!)**

Suppose that y = f(x) = x^2 - 4x + 4. Then on any interval where the inverse function y = f-1(x) exists, thederivative of y = f-1(x) with respect to x is: (Hint: x^2 - 4x + 4 can be factored and rewritten as "something" squared.) Work thus far: Okay, so I know that I can ...
*March 15, 2012 by Anonymous*

**math**

thanks for the help but i was wondering (16 square root of x-3) times(square root of x-1) is equal to 16x-19 square root of x then plus 3 No, it is not. 16 (sqrt (x-3) ) (sqrt (x-1)) if that is your problem. It is hard to determine from your text. Use parenthesis please. 16 (...
*January 11, 2007 by jon*

**algebra solving log equations**

n sqrt(x-8)= 5 I would like help to solve this what i did was to take away the square root i squared both sides coming up with (ln sqrt(x-8))^2= (5)^2 ln(x-8)=25 am i alowed to do this with ln in the equation? then i subtract 8 from both sides ln x = 17 e^(ln x)= e^17 e ...
*October 30, 2013 by Marcos*

**math,correction**

Can someone help me with these...plz Simplify 2radical (12) + 4 radical (27) if i simplify radical (12) i get 2radical (3) then if i simplify radical (27) i get 3radical (3). so now i don't know if i'm doing this correctly or how to set it up... 2 sqrt 12 + 4 sqrt 27 4 sqrt 3...
*March 29, 2007 by jasmine20*

**Calculus**

integral 0 to sqrt(3) dx/sqrt(4-x^2) I don't understand why the answer is pi/6. I get pi/3. Thanks for the help! Work: u=x/2 du=1/2dx 2du=dx 2/2sqrt(1-u^2) sin^-1(x/2) sin^-1(sqrt(3)/2)= pi/3
*June 4, 2008 by Anonymous*

**Algebra 2**

Simplify each expression. 1+sqrt(3) ______________ sqrt(3)-sqrt(2) *this is a division radical expression please show work!!
*February 7, 2015 by Alex*

**math**

1. The equation, in general form, of the line that passes through the point (3,4) and is perpendicular to the line 5 x + 5 y + 9 = 0 is Ax + By + C = 0, where a=? b=? c=? 2.The equation of the line that goes through the points ( -9 ,-6 ) and ( -6 ,-3 ) can be written in ...
*August 30, 2009 by Allie*

**calculus BC slope**

consider the curve in xy-plane by x=e^t and y=te^(-t) for t is greater or equal to o. the slope of the line tangent to the curve at the point where x=3. all the answer choices are decimal points. a is 20.086, b is .342, c is -.005, d is -.011 and e is -.033 so what i did is ...
*April 22, 2007 by Anonymous*

**Physics**

suppose that the separation between speakers A and B is 5.80 m and the speakers are vibrating in phase. They are playing identical 135 Hz tones, and the speed of sound is 343 m/s. What is the largest possible distance between speaker B and the observer at C, such that he ...
*May 1, 2007 by Mary*

**Calculus I**

Find the point on the curve y=x^2 closest to point (0,1) Here's what I have: Sqrt {(x-0)^2 + ((x^2)-1)} Sqrt {((x^2) + (x^2)-1} d= sqrt (x^4)-1 y= (x^4)-1 Fprime(x) = 4x^3 Domain = ARN Critical Number x= 0 Any help or comments would help alot. Thanks!
*November 2, 2007 by Mandy*

**math**

Line through (0,b) and (10,-5) is perpendicular to the line through (a,0) and (-6,-3). If all ordered pairs (a,b) which make the first sentence of this problem true are graphed, they all lie on a line. Find the equation of this line.
*September 17, 2014 by Sam*

**Algebra II**

1) Write an equation of the line that passes through (9,6) and is perpendicular to the line whose equation is y=-1/3x+7. Answer: y=3x-21 2)Find x in the solution of the system 3x+y=2 ans 2x-3y=16 Answer:2
*April 6, 2008 by Lucy*

**math**

Please help me solve this problem... thanks! 1.Find the equation of the line that cntains the pont (5, -1) and has slope -1/2 2.find the equation of the line that passes through the points (-2,1) and (1,-5)
*October 26, 2009 by jojo*

**college alg**

find the equation of a line that is parallel to the line x=6 and contains the point (-8,9) please show work, it also wants me to show the answer in an equation
*September 4, 2012 by alli*

**Algebra**

What is the equation of the line that has a y-intercept of 5 and is parallel to the line represented by the equation below? 2x - y = 16 A. y = 2x + 5 B. y = -2x + 5 C. y = 1/2x - 5 D. y = -1/2x - 5 I guessed B for this one, but another choice of mine was A. I'm not sure which ...
*November 10, 2013 by ENGINE*

**Algebra**

Write the equation of the line L satisfying the given geometric conditions. L has y-intercept (0,2) and is perpendicular to the line with equation 2x-3y=6 Show work I will be happy to critique your work on this. 3x+2y=4?
*May 20, 2007 by Linda*

**math**

A graph is given with the line going from (-2, 2) to (2,8). a) Find the length of this line. b) Find the midpoint of the line. c) write an equation for this line. my answers- a) 2√10 b) 0,5 c) y = 1.5x + 5 please check these answers.
*May 31, 2013 by Anonymous*

**Trig(3 all with work)**

1)Find the exact value of cos 105 by using a half-angle formula. A)sqrt 2 - sqrt 3 /2 B)-sqrt 2 - sqrt 3 /2 C)-sqrt 2 + sqrt 3 /2 D)sqrt 2 + sqrt 3 /2 cos 105 cos 105 = cos 210/2 sqrt 1 + 210/2 sqrt 1 + sqrt 3/2 /2 sqrt 2 + sqrt 3/2 which is D 2)Find the solution of sin2 theta...
*February 15, 2008 by Jon*

**Math**

Give the equation of a line perpendicular to the line y = -8x + 8 having the y-intercept 2 units below the y-intercept of the given equation. At what point the two equations cross each other?
*January 9, 2010 by Anna*

**math**

Give the equation of a line perpendicular to the line y = -8x + 8 having the y-intercept 2 units below the y-intercept of the given equation. At what point the two equations cross each other?
*February 28, 2010 by Jillian*

**Advanced math-ck answer, please**

Write the standard form of the equation of the line that passes through (-3,7) and is perpendicular to the line with the equation y=3x-5. Answer: 3x+y=16 Thanks
*June 22, 2008 by Lucy*

**Analytic Geometry**

write the equation of a line through (4,1) and: A. parallel B. perpendicular to the line through (7,3) and (5,-1). =Express the equation in 5 different forms. please help!!
*January 14, 2011 by Anal-G*

**Algebra**

Find an equation of the line having the given slope and containing the given point. Express your answer in the form y=b or y=mx+b M=0, (0,-5) The equation of the line is y=
*February 11, 2014 by Pam*

**Alg 2**

Write an equation of the line that passes through (-3,4) and is perpendicular to the line y=2x-5. Answer: y-y1=2(x-x1) y-4=2(x+3) Is this how I would write my equation or should I distribute the 2 to make it y-4=2x+6?
*June 9, 2015 by Amy*

**maths**

Find the largest possible value of sqrt[(x-20)(y-x)] + sqrt[(140-y)(20-x)] + sqrt[(x-y)(y-140)] if -40<=x<=100 and -20<=y<=200
*March 12, 2013 by John*

**calculus**

Use implicit differentiation to find the slope of the tangent line to the curve (y/x+8y)=x^8 +9 at the point (1,10/-79).
*October 29, 2009 by Jenny*

**Calculus**

Find those values of x at which the tangent line is horizontal to the curve y=xsqrt2-2cosx
*July 1, 2010 by Eileen*

**Calculus**

Find the x-coordinates of all points on the graph of y = x^3 - 4x^2 + 5x at which the tangent line is parallel to 2y - 10x - 7 = 0
*November 16, 2010 by Drew*

**CAL**

use implicit differentiation to find the slope of the tangent line to the curve (y)/(x-7y)=x^6+5 at the point (1,6/43)
*July 9, 2011 by Lan*

**math**

use implicit differentiation to find the slope of the tangent line to the curve (y)/(x-7y)=x^6+5 at the point (1,6/43)
*July 10, 2011 by lan*

**calculus**

y sin 12x = x cos 2y, (pi/2, pi/4) Find the tangent line to the curve at the given point. y=???
*October 9, 2011 by John*

**Calculus**

Use implicit differentiation to find the slope of the tangent line to the curve 2(x^2) + 2xy + 2(y^3)= -18
*October 28, 2011 by DJ*

**Calculus**

(y/(x+9y))= (x^2)-7 at the point (1, -6/55) Use implicit differentiation to find the slope of the tangent line to the curve
*October 28, 2011 by DJ*

**Calc**

how do you find which points a tangent line is horizontal/vertical for decartes folium x^3+y^3=3xy?
*December 8, 2011 by Anonymous*

**MATH**

Find the slope of the tangent line to the graph of the function at the given point. g(x) = 17 − x^2; (3, 8)
*February 13, 2012 by Anonymous*

**Calculus**

Find all the points (x,y) on the graph of f(x)=9x^2-36x+35 where the slope of the tangent line is zero.
*February 20, 2012 by Jaleela *

**Calculus **

I could really use the help on this as soon as possible. what is the slope of the line tangent to the curve (/x)^2 at point (4,16)
*February 24, 2012 by Jesse Stone*

**Calculus ap**

Use implicit differentiation to find the slope of the tangent line to the curve XY^3 + XY = 5 at the point (3,2) .
*March 2, 2012 by lily*

**Survey of Calculus**

For the function below, find the slope of the tangent line at x=2 (5x^(4)+4)/(-2x^(3)+7) Can someone explain how to do this?
*February 24, 2013 by Matt*

**Applied Calculus**

Let f(x) = x3 − 4x2. Find the point(s) on the graph of f where the tangent line is horizontal.
*March 1, 2013 by Jacob*

**Math **

Use implicit differentiation to find the slope of the tangent line to the curve y/( x + 4 y) = x^4 – 4 at the point (1,-3/13)
*March 14, 2013 by Melissa*

**Math **

Use implicit differentiation to find the slope of the tangent line to the curve y/( x + 4 y) = x^4 – 4 at the point (1,-3/13)
*March 14, 2013 by Melissa*

**calculus**

find a point on the curve x^3 + y^3 =2xy other than the origin at which tangent line is horizontal
*June 16, 2013 by susan*

**AP Calc. AB**

let f be the function given by f(x)=-2e^x^3. F0r what value of x is the slope of the line tangent to the graph of f at (x,f(x)) equal to -6
*January 7, 2015 by Rachel *

**Math**

Suppose f(x) = 4x^5-(1/x^4) Find the slope of the tangent line to the graph of y = f^–1(x) at (3, 1). You get: 1/24 1/16 00062 1620 972
*April 9, 2015 by Thomas*

**Precalc**

Find the derivative of: f(x) = 1/(3x)^4 + 3x^4 Determine the points, if any, at which the function has a horizontal tangent line y = 5x^3 - 15x^2 y = 2x^3 + 6x^2 thank you!
*April 15, 2015 by Heather*