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March 30, 2015

Search: Find the equation of the tangent line to the curve at the point .

Number of results: 101,502

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

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
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

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

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
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

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

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

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

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

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

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

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
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

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
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

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

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
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

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

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

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

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

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

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

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

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

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

Precalc
At the point were a line intersects a plane [with the equation (24x+32y+40z=480) and three points of A(5, 10, 1), B(6, 3, 6), and C(12, 1, 4)], the vector i-, vector j-, and vector k-coefficients of the line equal the corresponding values of x, y, and z for the plane. By ...
January 7, 2012 by Grace

maths
find the equation to the straight line which passes through the point of intersection of the line 3x+4y-1=0 and 5x+8y-3=0 and is perpendicular to the line 4x-2y+3=0
January 10, 2013 by Anonymous

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

advanced algebra 2
Find an equation for the line with the given properties: 1) Containing the points (1, 3) and (-1, 2) 2) Slope = -2/3; containing the point (1, -1) 3) X-intercept = 2; y-intercept = -1 4) Parallel to the line 2x y = -2; containing the point (-1, 2) 5) Perpendicular to the ...
August 10, 2012 by kerry

maths
if y=e^(3x) sin 4x. Show that (d^2y/dx^2)-(6dy/dx)+25y=0 (b) for the curve with equation y=(x^2+1)/(x^2-4), find (i) the cordinates of the turning point(s). (ii) the equation of the asymptotes
October 3, 2013 by masuzyo

Calculus
Of the infinitely many lines that are tangent to the curve y = −7 sin x and pass through the origin, there is one that has the largest slope. Use Newton's method to find the slope of that line correct to six decimal places.
November 20, 2014 by Laura

calculus
Find the equation of the line tangent to at x=1. Give your answer in y=mx+b form as an equation. If b=0, make sure you put +0 after mx. For example, even if your answer is y=3x, type in y=3x+0.
October 2, 2011 by brandy

calculus please help
Use the four step process to find the slope of the tangent line to the graph at any point: f(x) = -1/2(x^2)
February 11, 2011 by Anonymous

algebra 1
Thelma wants to find the equation of a line that passes through the point (2, 2) and is perpendicular to the line Which equation best represents Thelma's equation?
April 29, 2013 by shay

calculus
determine the slope of the tangent for the following function. Then determine the equation of the tangent line at x=1 F(x) = x F(x) = x^4
February 13, 2010 by Anonymous

cal
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) = x b) f(x) = x^4
February 14, 2010 by Anonymous

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. For f(x) = 1/x^3
February 14, 2010 by Anonymous

Calculus II
Here's the problem: Find the area of a plane region bounded by y=x^3 and its tangent line through (1,1). So far I have the graph on my graphing calc, so I have an idea at what I'm looking at. I found the tangent line to y=x^3 to be y=3x-2. Now I am stuck. I am trying to find ...
May 29, 2007 by Ace

Maths
Find the equation of the normal to the curve y = 3x^2 - 5x that is perpendicular to the line y = x + 4.
October 23, 2009 by Annie

maths
Find the equation of the normal to the curve y=2x^2+3x+4 which is perpendicular to the line y=7x-5
October 23, 2010 by Adam

Math
Find the equation of normal to the curve 3x^2 - y^2 =8 which is parallel to the line x + 3y =4.
June 22, 2013 by Chockalingam

Math
At what point on the graph of y=(1/2)x^2-(3/2) is the tangent line parallel to the line 4x-8y=5? A. (1/2,-3/8) B. (1/2,-11/8) C. (2,3/8) D. (2,1/2) E. (-1/2,-11/8)
December 1, 2013 by Millie

CALC AB
if p(x)=(x-1)(x+k) and if the line tangent to the graph of p at the point (4,p(4)) is parallel to the line 5x-y+6=0, then k=? a. -1 b. -2 c. 1 d. 0 e. 2
October 3, 2014 by Jacke

college algebra
1. find the equation of the line with the given properties. Express the equation in general form or slope-intercept form. perpendicular to the line -3x_y= -27; contains the point (9, -1) the equation of the line is ? 2. solve the polynomial inequality and then graph the ...
December 1, 2012 by confused--two questions please help

math
Find the slope of the secant to the curve f(x) = -2logx + 3 between: (1 each) i) x = 1 and x = 2 ii) x = 1 and x = 1.5 iii) x = 1 and x = 1.1 vi) x = 1 and x = 1.01 b) Extend the result from part a to determine the slope of the tangent to the curve at x = 1 accurate to 3 ...
March 19, 2012 by mark

calculus
The slope of a curve is at the point (x,y) is 4x-3. Find the curve if it is required to pass through the point (1,1). Work... 4(1)-3=1 y-1=1(x-1) y=x
November 18, 2007 by Anonymous

math
(a)Given the points P(3,5),Q(8,10)and R(8,0),find the equation of a line which is perpendicular to QR and passes through the mid point of QR. (b)The line 2x+3y=2 and 7x-3y=10 intersect at A . Find the equation of the line which passes through A and is perpendicular to the line...
June 5, 2013 by JOJO

math
the straight L has gradient 3 and passes through the point A(-6,4). a) find an equation for L in the form y=mx+c b) straight line R has the equation in the form of -7y+x+14=0. Given that R crosses the y-axis at the point B and intersects L at the point C, find the coordinates ...
February 24, 2012 by aminath

Calculus
find the equation of a line tangent to the graph of y = x / (square root of 5x^s +4), at x = 1. am i suppose to take the derivative? if so, then what else?
November 13, 2007 by dave

math
how do i solve this problem? find an equation for a line that is tangent to the graph of y=e^x and goes through the origin.
October 29, 2009 by jayla

calculus
Find the equation, in slope intercept form , of the line tangent to the graph of the square root of (x^3+7x+1), when x=3
December 8, 2011 by Patty

Calc
Find the equation of the tangent line to f(x)=sqrtx^2+6x at x=2, give your answer in slope-intercept form
July 20, 2012 by Ashley

Calculus
Find the equation of the tangent line to the graph of the function f(x)= 2x^3−3x^2+4x+2 at x=2 I got y=16x-12 but I know it is wrong.
October 15, 2012 by Anonymous

Analytic Geometry
Find the equation of a circle passing through (3,7) and tangent to the line x-3y+8=0. Please, How do I solve this? Help me
January 26, 2013 by Lea

Analytic Geometry
Find the equation of a circle passing through (3,7) and tangent to the line x-3y+8=0. Please, How do I solve this? Help me
January 26, 2013 by Lea

Calculus
Find the slope and equation of the tangent line to the graph of the function at the given value of x. f(x)=x^4-20x^2+64;x=-1
October 31, 2014 by Duane

Maths
A circle C passes through the point (-12,9) and is given by the equation (x-a)^2 + (y-b)^2 = r^2. If the equation of the tangent to the given circle at the point (-4,1) is given by x-y+5=0, find the values of a,b and r. The answers have to be a=-8, b=5 r=5.657
March 17, 2008 by Claire

Calculus
Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve. r(t) = (t)i + (2/3)t^(3/2)k, 0 less than or equal to t less than or equal to 8
September 25, 2012 by Beau

Calculus-derivatives
What is the slope of the tangent of each curve at given point y=√(16x^3), (4,32) If I find the derivative of y=√(16x^3) Will it be 16/-x^3
February 15, 2012 by Jake

math, algebra
the problem reads: Write the equation of the line which passes through the point (2,1) and is parallel to another line with equation y = (5)/(2) x + 6 the answer i get is the following is this correct though y = (5)/(2) x - 4 Since your new line is parallel to y=(5/2)x + 6 it ...
March 31, 2007 by jasmine20

Calculus
The line y=2x+b is tangent to the graph of y=x^1/2 at the point P=(a, a^1/2). Find P and determine b. I don't know what to do because they don't give you the x coordinate or anything to plug into the derivative. Help?
September 20, 2012 by Macy

math
I need help with "write in equation in slope-intercept form for the line that is parallel to to the given line line and and that passes through the given point. y=1/2x=5;(4,-3) How do you find a line that is perpendicular. Please and thank you! :)
February 8, 2014 by Kerri

Calculus
I am so lost, I have no idea what to do next. Find the equation of the tangent line to the graph at the indicated point f(x) =x^2 +x ; a=-1 I started out using f(-1)= (-1+h)-(-1)/h but i am so lost on what to do next. I have tried to look at examples in the book, but i do not ...
September 25, 2014 by Erin

Math
Write your answer in standard form. Show all your work if you want to be eligible for partial credit. Write the equation of a line perpendicular to the line y = (2/3)x - 7 and passing through the point (4,-2). The slope of the line y = (2/3)x - 7 is 2/3. The slope of a line ...
November 7, 2006 by Lina

calculus
Two lines through the point(1,-3) are tangent to the curve y=x2. Find the equations of these two lines and make a sketch to verify your results. Thank you
September 27, 2011 by Akanimo

Calculus
The point P(4,2) lies on the curve y=x^1/2 If Q is the point (x,x^1/2) use your calculator to find the slope of the secant line PQ for the following values of X: 1)3.5 2)3.9 3)3.99 4)3.999 5)4.5 6)4.1 7)4.01 8)4.001 i plugged these points into the intial equation and got that ...
September 25, 2007 by Judy

algebra 1,urgent
the expression (4x^2-3x+1)-(x^3+2x+7) what is the coefficient of the x term in the simplified expression? what is an equation of a line parallel to the line with equation 2 y=14-6x a.y=-6x+18 b.y=-3x-9 c.y=6x+3 d.y=3x+8 Solve linear system, which substitution of unkowns is ...
April 23, 2013 by Sven

AP Calc-easy ?
Given: f(x)= x^3 + x^2 - 2x over the closed interval [0,2] Write the equation of the tangent line to f(x) passing through point A(-1,-2). *At first glance I knew how to do it, but f(-1) does not equal -2...so do I add a constant onto f(x) to make f(-1) = -2 or what? thanks
March 7, 2007 by blondie07

Pre-Calculus
Determine the equation of a line that passes through (2,2) and is parallel to the line tangent to y=3x^3-2x at (-1,5)?
February 12, 2013 by Sarah

algebra 3
what is the equation of the line with {3,3} and is perpendicular to the line y= negative 2x plus 3 The slope of the line is -2. The slope of a line perpendicular to this one must be its negative reciprocal, or 1/2. Use the point-slope form to find the other line: y - y1 = m(x...
January 11, 2007 by Darius Graham

calculus
find a function f given that (1) the slope of the tangent line to graph of f at any point P(x,y) is given by dy/dx=3xy and (2) the graph of f passes through the point (0,2)
April 10, 2012 by mabel

calculus
Find an equation of the tangent line at x = 0 for the given function. f(x) = 5x2 + cos(x) I really need help on this one.
June 20, 2010 by Irene

Calculus
Find the equation of the tangent line to f(x)=x sec x at ((pi/4),(pisqrt 2)/4). Please check my derivative .. Is it (sin^2(x)+ 1)/cos^3 (x)?
November 12, 2014 by Anonymous

Calculus
Find an equation of a line tangent to y = 2sin x whose slope is a maximum value in the interval (0, 2π]
February 17, 2015 by Sara

Derivatives?
Given that f(-0.5)=2 and f'(-0.5)=4, use a tangent line approximation to estimate f(0). The lesson is not very clear on what a tangent line approximaton is.
June 5, 2012 by JULIA

calculus
Let f be the function given by f(x)= x^2+4x-8. The tangent line to the graph at x=2 is used to approximate values of f. For what value(s) of x is the tangent line approximation twice that of f?
December 11, 2011 by Jane

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