Thursday

February 11, 2016
Number of results: 110,646

**Math**

Find the function f, given that the slope of the tangent line at any point (x,f(x)) is f '(x) and that the graph of f passes through the given point. f '(x)=6(2x-7)^5 at (4, 3/2)
*April 9, 2014 by Vanessa*

**Linear Approximation**

Use linear approximation, i.e. the tangent line, to approximate 1/0.104 as follows: Let f(x)=1/x and find the equation of the tangent line to f(x) at a "nice" point near 0.104 . Then use this to approximate 1/0.104 . L(x)=f(a)+f'(a)(x-a)...i think. You're notation is slightly ...
*October 14, 2006 by Jojo*

**mathematics**

The circle x2-2x+y2-4y-4=0 lies on the cartesian plane,question 2.1.1 equation of new circle which is the rotation of original circle through 180 degree around the origin...2.1.2 find equation of another circle which is the translation (x;y)-(x-8;y-6) of the points of the ...
*March 21, 2013 by Jossie*

**algebra**

Write the equation of the line that passes through point (5, 4) with a slope of 0. would this be x=5 then? no x=5 is the equation of the vertical line passing through (5,4) Any horizontal line, (slope=0), has an equation of the form y = b notice that this is a variation of the...
*May 13, 2007 by stressed*

**Pre- Algebra**

Given an equation of a line, how do I find equations for lines parallel to it going through specified points Simplifying the equations into slope-intercept form. 1. y= -2x -4; (1, 3) how do I write the equation of a line parallel to the given line but passing through the given...
*August 14, 2013 by Roosevelt*

**Calculus**

Find the linear approximation of the function f(x)=^3sqrt(1+3x) at a=0 and use it to approximate ^3sqrt(1.03)Is this an overestimate or underestimate of the actual value? Explain your answer in terms of the tangent line and the curve.
*April 11, 2013 by Anonymous*

**Calculus**

Mathematica Project - Position, Velocity, and Acceleration? A rocket is fired vertically upward into the air from a launching platform 100 ft above the ground. The platform is then retracted, and the rocket is allowed to fall to the ground. The height (in ft) of the rocket ...
*July 19, 2013 by Ken*

**Precalc**

A line in space has the vector equation shown here. Fill in the blanks to find the position vector to the fixed point on the line that appears in the equation: vector r=(5+(6/11)d)vector i + (3+(9/11)d)vector j + (7+(2/11)d)vector k vector v= _____ vector i + _____ vector j + ...
*January 18, 2012 by Grace*

**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*

**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*

**calculus**

given f(x)=sqrt(x). find the distance of the point P(2,5) from the line tangent to the functions at x=4.
*December 8, 2011 by mike*

**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*

**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*

**economics**

elow kindy ans. my question pls.. what is optium point in budget line and indefference curve, and also what is the diff. between budget line and indefference curve?..
*February 21, 2009 by vanie*

**calc**

Let f(x)=2x+15−19ex. Then the equation of the tangent line to the graph of f(x) at the point (0,−4) is given by y=mx+b for m=? b=?
*April 6, 2015 by Anonymous*

**math**

Let AB be the diameter of circle Γ1. In the interior of Γ1, there are circles Γ2 and Γ3 that are tangent to Γ1 at A and B, respectively. Γ2 and Γ3 are also externally tangent at the point C. This tangent line (at C) cuts Γ1 at P and Q, ...
*May 8, 2013 by hemant*

**calculus**

Find dy/dx 4x^2+y^2-8x+4y+4=0, find points on graph of the equation where there is a vertical or horizontal tangent line
*October 11, 2010 by tia*

**calculus**

how would i go about finding the tangent line to the curve of sqrt(1+4x^2y^2)-3xy=-18 with the points (3,6)?
*November 19, 2012 by Anonymous*

**Simple Calculus**

Let y = x^3 + ax^2 + bx. If (x,y) = (2,64) is a point on the curve and the slope of the tangent at x=-1 is 3, what is the value of a+b?
*March 28, 2013 by Lucy*

**math**

The angle which the tangent to the curve at the point (2, 5) makes with the horizontal
*February 10, 2015 by John*

**math**

The gradient of the tangent to the curve y= ax^3 + bx at the point ( 1, 1) is -5. Calculate the values of a and b
*March 1, 2015 by kudu*

**math**

The gradient of the tangent to the curve y= ax^3 + bx at the point ( 1, 1) is -5. Calculate the values of a and b
*March 2, 2015 by kudu*

**Calculus**

Use implicit differentiation to find the slope of the tangent line to the curve y/(x+7y)=x^5+7 at the point (1,(-8/55). can anyone help me work out the problem step by step? y (x+7y)-1 = x5 +7 dy(x+7y)-1-y((x+7y)-2*(dx +7dy)=5x4 multiply it out, gather the dx and dy terms, and...
*May 19, 2007 by jimmy*

**Calculus**

Graph the function f(x)=x+4/x Graph the secant line that passes through the points (1,5) and (8,8.5) on the same set of axes Find the number c that satisfies the conclusion of the Mean Value Theorem for f on [1,8] c= Notice that if you graph the tangent line to the point (c,f(...
*February 8, 2015 by Bob*

**calculus**

if the tangent line to the function f(x)=x +a at x=16 has equation y=mx+6. find a and m. you may use the fact that f'(x)= 1/(2x)
*September 28, 2010 by Jenny*

**math-calc**

function f(x)=3x^2-2x-1 find equation of the line that is tangent and parallel to 8x-2y+12=0
*February 27, 2011 by shakira*

**calculus**

If f(2)=-3, g(x)=f^-1(x), what is the equation of the tangent line to g(x) at x=-3? I don't know how to find g(x), if you can help me with that, then I think I can do the rest of the problem
*April 20, 2011 by Sam*

**calculus**

Let f(x) = x ^3. The equation of the tangent line to f(x) at x = 3 is y= ?. Using this, we find our approximation for 2.7 ^3 is
*October 31, 2014 by Alessandra Romano*

**math**

find the equation of tangent line to the graph of f(x)=xcosx(√2 x) at a=0
*December 27, 2015 by selina*

**math**

find the equation of tangent line to the graph of f(x)=xcos(√2 x) at a=0
*December 27, 2015 by selina*

**Calculus**

Using the definition of the derivative, find the equation of the tangent line to y=2x-1/2 at (1/2,-1) Thanks!!
*February 5, 2016 by Sarah*

**calculus**

Find the x-coordinates of all points on the curve f(x) = sin 2x − 2 sin x at which the tangent line is horizontal. (Enter your answers as a comma-separated list. Use n to represent any integer.)
*September 23, 2012 by Anonymous*

**Ap calc.. Dying!! Please help!**

Given the curve x^2-xy+y^2=9 A) write a general expression for the slope of the curve. B) find the coordinates of the points on the curve where the tangents are vertical C) at the point (0,3) find the rate of change in the slope of the curve with respect to x I don't even know...
*January 25, 2013 by Aparna*

**Calculus**

Hello, my question is the following: The derivative of f(x) = ln(x) is given by f'(x) = 1/x. Find an equation of the tangent line to the graph y = ln(x) that passes through the point (0,0). So if I go through this using the typical method I use I have the point slope formula ...
*September 27, 2014 by Joshua*

**math**

A line L1 passes through point (1, 2) and has gradient of 5. Another line L2, is perpendicular to L2 and meets it at a point where x = 4. Find the equation for L2 in the form of y = mx + c
*February 20, 2015 by kudu*

**Linear Algebra**

Last number from the sample test! A plane P passes by the coordinates: A(1,0,-7); B(-2,-1,0); C(0,0,-3) Using the equation of the line D: x= 7+12t, y= -1-6t, z= 2-2t, Find the equation of a line that's entirely part of the plane P and that is perpendicular to the line D at ...
*September 10, 2012 by Robert*

**calculus**

a curve is such that dy/dx = x^2 - 1 Show that no tagent to this curve is parallel to the line with equation 3x + 2y - 4 = 0
*October 25, 2012 by yuen*

**math**

First find the general derivative of f (x) = {√(x−1)} . Then find the equation of the tangent line to the graph at x = 10.
*April 25, 2011 by billy*

**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*

**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*

**Calculus**

With y=f(x) (2x-10)^1/2 having a virtual line joined at point Q from the origin (0,0), determine the coordinates of point Q that maximises the angle of vision of an observer, situated at the origin, following the movement of point Q along the curve. Note that tan (theta symbol...
*November 15, 2011 by Jim*

**Calculus**

(a) Find the tangent line approximation for sqrt(9+x) near x=0. (b)Find a formula for the error, E(x),in the tangent line approximation found in part (a). For part A, is the answer y=3. For part b, I don't understand , any help would be greatly appreciated.
*November 5, 2008 by George*

**MATH**

Let m be any real number. Then the equation (m+1)^2 x-my-m^2-1=0 is a line. There is a unique point which this line goes through no matter what the value of m is; find the coordinates of this point.
*June 14, 2011 by Janice - Please Help!!!*

**Calculus**

which of the following is not a type of break in the graph? a) holes b) horizontal asymptotes c) jumps d) vertical asymptotes I know for sure that a is not the answer and i doubt that c is the answer. I think the answer would be b. 2. Describe what can be inferred about the ...
*April 9, 2014 by Sarah*

**Math grade 10**

a)determine whether the point A(-2, -6) lies on the circle defined by x^2 + y^2 = 40 b) find an equation for the radius from the origin O to point A c) Find an equation for the line that passes through A and is perpendicular to OA
*December 23, 2009 by alyssa*

**math (please help)**

1. Write the equation for the horizontal line that contains point G(-8, 8). 2. What is an equation for the line that passes through points (-1, -4) and (1, 4)? Write the equation in slope-intersect form. 3. Write an equation for the vertical line that contains point E(10, -3).
*October 31, 2013 by kaitlyn*

**calculus**

Consider the following. y = x2 − 9x x2 + 5x at (3, − 3 4 ) (a) At the indicated point, find the slope of the tangent line. (b) At the indicated point, find the instantaneous rate of change of the function.
*March 10, 2011 by Adam Janky *

**graphing question**

Write the equation of the line with slope 4 and y-intercept (0, 5). Then graph the line i wrote the equation which i think is y=4x-5 i point the y intercept (0,-5) in the graph how do i find the other point would the 4x become 4/1 x y=4/1x-5 then move run and rise run of 1 ...
*April 13, 2007 by linda*

**calculus**

Describe the slope of the tangent line to the curve defined by x 2 + xy - y 2 = 5 when x = 2. positive negative zero undefined
*February 23, 2014 by shira*

**calculus--please helpp**

if the line 3x-4y=0 is tangent in hte first quadrant to the curve y=x^3+k, find k. all i know is that its related to finding a derivative and i m basically completely lost....can please someone provide me some help?????
*October 14, 2011 by krishna*

**calculus**

Whats the slope of the tangent to the curve y=7/(square root of x) at the point where x=a>0?
*September 7, 2011 by Shellie*

**calculus**

Whats the slope of the tangent to the curve y=7/(square root of x) at the point where x=a>0?
*September 7, 2011 by Shellie*

**calculus**

dy/dx= (2x-2xy)/(x^2+2y) Find all points on the curve where x=2. Show there is a horizontal tangent to the curve at one of those points.
*October 18, 2007 by ssss*

**calculus**

dy/dx= (2x-2xy)/(x^2+2y) Find all points on the curve where x=2. Show there is a horizontal tangent to the curve at one of those points.
*October 20, 2007 by sara*

**calculus**

dy/dx= (2x-2xy)/(x^2+2y) find all points on the curve where x=2. show there is a horizontal tangent to the curve at one of those points.
*October 30, 2007 by sara*

**trigonometry**

Find the equation of a line passing through the origin so that the tangent of the angle between the line in quadrantI and the positive x-axis is sqrt3/3. A. y=sqrt3/3x B. y=sqrt3x C.y=x D.y=sqrt2/2x thnks alot:)
*January 16, 2009 by y912f*

**calculus**

If f(x)=x^3. Yhe equation of the tangent line to f(x) at x=4 is y=? Using this, we find our approximation for 3.8^3 is ?
*November 5, 2009 by Jenny*

**calculus**

Find an equation of a line that is tangent to y=2sinx and whose slope is a maximum
*April 12, 2010 by Anonymous*

**calculus**

If the tangent line to the function f(x)=x+a at x=16 has equation y=mx+2, find a and m . You may use the fact that f'(x)=12x . a= , m=
*February 2, 2012 by Anonymous*

**AP Calc.**

find the equation of the tangent line to f(x)=square root x passing through (-4,0)
*November 2, 2012 by asaereay*

**Analytic Geometry**

Find the equation of a circle passing through and tangent to the line x-3y+8=0
*January 25, 2013 by Lance*

**Analytic Geometry**

Find the equation of a circle passing through (3,7) and tangent to the line x-3y+8=0
*January 25, 2013 by xavier*

**Calculus check**

Find the equation of the line tangent to y=tan2x at x=pi/8 A. y-1=sqrt(2)(x-pi/8) B. y-1=1/2(x-pi/8) C. y-1=1/4(x-pi/8) D. y-1=2(x-pi/8) E. y-1=4(x-pi/8) I got A
*March 15, 2015 by Sarah*

**calculus**

Alright so implicit differentiation is just not working out for me. Use implicit differentiation to find the slope of the tangent line to the curve at point (4,1). y / (x-2y) = x^3 + 4 Tried quotient rule to get the derivative of the left side, then got derivative of right ...
*November 6, 2009 by Kim*

**Parametric derivatie help plz**

Find the eqation of the line tangent to the parametric curve define by x=cos2t and y=sin3t and t=pi/12 plz i don't no where to start from show working
*October 28, 2015 by Collins*

**calc**

What is an equation of the line tangent to the graph of f(x)=x2(2x+1)3 at the point where x=-1? (that's x squared (2x+1)cubed) I'm having trouble finding the derivative:f'(x)which would be the slope (m). No one has answered this question yet.
*November 7, 2010 by Naz*

**CALC (TANGENT LINE)**

1-show that 1-x/2 is the tangent line approximation to 1/ sqrt of 1+x near x=0 2-what is the local linearization of e^x^2 near x=1 3-find the tnagent line approximation of 1/x near x=1
*April 1, 2010 by MILEY*

**Algebra 1**

Write an equation in slope-intercept form for a line that passes through the given point and is perpendicular to the given line. 1. y=3;(4,-2) The y = 3 line is parallel to the x axis so the perpendicular line you want is parallel to the y axis. That means x must be a constant...
*January 7, 2007 by Mike*

**calculus**

x^2-x^2y=y^2-1 find all points on the curve where x=2. Show there is a horizontal tangent to the curve at one of the points.
*January 28, 2008 by anonymous*

**Math**

The line L has equation of 4x + 3y = 7. Find the equation of the line perpendicular to L which passes through the point of intersection of L and the y-axis. Give answer in ax + by + c = 0.
*December 9, 2012 by Angie*

**math**

find an equation of the line having the given slope and containing the givin point m=2,(7,5) the equation of the line is y=
*October 31, 2008 by mikey123*

**MA**

a) find the equation of AB, the perpindicular bisector of the line joining the points P(-3,1) and Q(1,9) (line AB intersects the point at midway of PQ) b) C is the centre of a circle passing through P and Q. given that QC is parralel to the yaxis, determine theequation of the ...
*January 18, 2010 by maths*

**Calculus**

The graph of the equation x2 − xy + y2 = 9 is an ellipse. Find the lines tangent to this curve at the two points where it intersects the x-axis. Show that these lines are parallel.
*October 26, 2014 by Al*

**Co-ordinate**

The line is 2x-Y+1=0 is tangent to the circle at thf point (2,5).and the centre of the circle is on the line x+y=9 find the equastion of the circle.
*August 30, 2011 by Guddu*

**calculus**

If the graph of f passes through the point (1, 0) and the slope of the tangent line at(x, f(x)) is 4x − 3, find the value of f(2).
*April 11, 2010 by Garrett*

**calculus**

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

**math graphs**

4. Which equation would you use to find out if the two lines in the graph are parallel? (1 point) LINE #1: point a: 1, 4 point b: -2, 1 LINE #2: point c: 3, 3 point d: -1, -1 a. 4 - 1/-2 - 1 = 3 - 1/3 - 1 b. 4 - 1/-2 - 1 = 3 - (-1)/3 - (-1) c. 4 - 1/1 - (-2) = 3 - (-1)/3 - (-1...
*May 5, 2014 by Divergent Dauntless*

**Calc**

1. Find values of a,b,c, and d such that g(x) = a(x^3)+b(x^2)+cx+d has a local maximum at (2,4) and a local minimum at (0,0) 2. Need someone to explain this. Graph a function f(x) for which: f(3)=f(5)=0 f'(x)<0 if x<4 f'(4)=0 f'(x)>0 if x>4 f"(x)>0 for all x I ...
*June 20, 2007 by Aurora*

**math**

Find the equation of the line that is parallel to the line formed by the equation 3x + 2y = -20 and passes through the point (-24, 12).
*December 14, 2010 by Anonymous*

**Geometry**

Find an equation of the line passing through the point (6,5) and perpendicular to the line whose equation is 2y+3x=6
*January 3, 2015 by Matt*

**math**

Dave is going to leave academia and go into business building grain silos. A grain silo is a cylinder with a hemispherical top, used to store grain for farm animals. Here is a 3D view, a cross-section, and the top view. If Dave is standing next to a silo of cross-sectional ...
*April 13, 2014 by hyun *

**calculus**

Determine the slope of the tangent m, for each of the following functions. Then determine the equation of the tangent line at x=1. a) f(x) = 1/ sqrt of x b) f(x) = 60 - 5t^2
*February 14, 2010 by Anonymous*

**integral**

(1) The region in the x-y plane bounded by the curve y=x^2, the line x=0 and the line x=5 and the x-axis. find the volume generated (2) Assume that a force of (3x^2-x+1)N is pulling an object at each point of the x-axis. find the work done in moving the object from x=1 to x=4
*August 6, 2009 by matrix school 2*

**math**

find the equation of a line that is parallel to the line x= -1 and contains the point (-7,5) the equation of the parallel line is ? *type an equation*
*January 1, 2013 by anonymous*

**maths**

a) find the equation of AB, the perpindicular bisector of the line joining the points P(-3,1) and Q(1,9) (line AB intersects the point at midway of PQ) b) C is the centre of a circle passing through P and Q. given that QC is parralel to the yaxis, determine theequation of the ...
*January 17, 2010 by maths*

**Surveying**

A vertical parabolic sag curve is to be designed to connect a down-gradient of 1 in 20 with an up-gradient of 1 in 15, the chainage and reduced level of the intersection point of the two gradients being 797.7 m and 83.544 m respectively. In order to allow for necessary ...
*February 10, 2016 by Anonymous*

**calculus**

Consider the following. y = (2x2 + 5)(x3 − 25x) at (5, 0) (a) At the indicated point, find the slope of the tangent line. (b) Find the instantaneous rate of change of the function.
*March 10, 2011 by Adam Janky *

**calculus**

Given the function: y = 2 - x - x^3 use limits to find the slope (and then the equation) of the tangent line at x =2.
*September 25, 2008 by Alex*

**calculus**

Given the function y = 2 - x - x^3 Use limits to find the slope (and then the equation) of the tangent line at x = 2
*September 30, 2008 by Erika*

**math calc**

The equation of the tangent line to f(x) =sqrt{x} at x = 25 can be written in the form y = mx+b where m =.1 b =? i don't know how to find the value of b
*March 27, 2009 by Manny*

**Calc**

Let f(x) = x ^3. The equation of the tangent line to f(x) at x = 5 is y= 75x - 250. Using this, we find our approximation for 4.6 ^3 is ?
*August 5, 2013 by Anonymous*

**math**

Find the equation of the tangent line to the graph of f(x) = (4x − 8)/(x + 1) at x = 0. (Use y for your dependent variable.)
*October 9, 2014 by Michael*

**Calculus**

Find an equation of the tangent line to the graph of f(x)=xsinx when x=0. A. y=0 B. f'(x)=0 C. y=xcosx+sinx D. y=x E. None of these
*November 30, 2014 by Anonymous*

**Math - point on the graph**

Determine the coordinates of the point on the graph of f(x)=sqrt(2x+1) where the tangent line is perpendicular to the line 3x+y+4=0
*October 21, 2010 by Anonymous*

**alegbra**

Find an equation of the line having slope and containing the given point. M=4/5, (3, -7) The equation of the line is Y= I have tried to work this problem and could not get the answer. Please help me.
*March 19, 2009 by Johnnie*

**algebra**

find the equation for the line that passes through the point (-5,-1) and that os parallel to the line with the equation -x+2y=5
*July 7, 2010 by cm*

**math**

can somebody show me how to do this? at what point on the graph of y= 3^x +1 is the tangent line parallel to the line y= 5x -1 ?
*October 29, 2009 by carolina*

**calculus**

Determine the coordinates of the point on the graph of f(x)= (2x+1)^(1/2) where the tangent line is perpendicular to the line 3x+y+4=0
*February 28, 2013 by Anonymous*

**Geometry**

Write an equation for the line perpendicular to line XY that contains point Z. line XY: 3x + 2y = -6, Z(3,2) I realize that the slope of a perpendicular line is the opposite reciprocal of the first line. But, how do I use point Z in this problem? Thank you.
*November 9, 2009 by Heather*