Thursday

September 3, 2015
Number of results: 105,055

**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**

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*

**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*

**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*

**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*

**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**

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**

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!!!*

**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 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*

**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**

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*

**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*

**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*

**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**

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*

**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**

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*

**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**

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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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**

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*

**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*

**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*

**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*

**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**

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**

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*

**Calc 1**

Of the infinitely many lines that are tangent to the curve y = −6 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.
*May 2, 2015 by TayB*

**Calc 1**

Of the infinitely many lines that are tangent to the curve y = −6 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.
*May 5, 2015 by TayB*

**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 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 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*