Monday

March 30, 2015

March 30, 2015

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),(pi•sqrt 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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