Thursday

August 21, 2014

August 21, 2014

Number of results: 92,804

**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, 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*

**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**

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*

**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**

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*

**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*

**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*

**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*

**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*

**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*

**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**

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**

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*

**Calculus**

Find an equation of the tangent plane (in the variables x, y and z) to the parametric surface r(u,v) =(2u, 3u^2+5v, -4v^2) at the point (0,-10,-16)
*March 4, 2010 by Salman*

**Calculus**

Find an equation of the tangent plane (in the variables x, y and z) to the parametric surface r(u,v) =(2u, 3u^2+5v, -4v^2) at the point (0,-10,-16)
*March 4, 2010 by Salman*

**Calculus 12th grade (double check my work please)**

2- given the curve is described by the equation r=3cos ¥è, find the angle that the tangent line makes with the radius vector when ¥è=120¨¬. A. 30¨¬ B. 45¨¬ C. 60¨¬ D. 90¨¬ not sure A or D 2.) which of the following represents dy/dx when y=e^-2x Sec(3x)? A.3e^-2x sec(3x) tan (...
*March 6, 2011 by anon*

**Calc, Implicit Differentiation**

Regard y as independent variable and x as dependant variable and find the slope of the tangent line to the curve (4x^2 + 2y2)^2 - x^2y = 4588 at point (3,4). Correct answer is -0.668827160493827 Here's what I did: 2(8x(dy/dx) + 4y) -2x(dx/dy)y + x^2 = 0 16x(dx/dy) + 8y - 2x(dx...
*October 21, 2006 by Michael*

**Calculus**

A curve is defined by the parametric equations: x = t2 – t and y = t3 – 3t Find the coordinates of the point(s) on the curve for which the normal to the curve is parallel to the y-axis. You must use calculus and clearly show your working, including any derivatives you need to ...
*July 18, 2014 by Daksh*

**Math**

This question makes reference to an orthonormal basis (i,j), and an origin O. 1. Consider the triangle ABC, with vertices A(0,-2), B(9,1), C(-1,11). Find: a) a cartesian equation of the altitude from C; b) a cartesian equation of the circle which has BC as a diameter; c) a ...
*February 27, 2008 by Anonymous*

**Calculus**

Use linear approximation, i.e. the tangent line, to approximate (the 3 is inside the v part if you know what I mean, it's not 3 times sqrt) 3√125.2 as follows: Let f(x) = 3√x. The equation of the tangent line to f(x) at x=125 can be written in the form y=mx+b where...
*September 28, 2009 by Z32*

**Math**

In the diagram below of triangle ACD, E is a point on line AD and B is a point on line AC, such that line EB is parallel to line DC. If AE = 3, ED = 6, and DC = 15, find the length of line EB.
*February 9, 2010 by John*

**Calculus Help Please**

Consider the implicit function ln(xy)-cos^-1(x-1)=x a. Find dy/dx. b. Find y when x = 1. c. Find the equation of the tangent line in slope-intercept form when x = 1. Show steps please! Thanks!
*April 8, 2014 by Tenshi*

**cal**

Write the equation of the tangent at (2,2) to the curve x^2-2xy+y^2+2x+y-6=0 Can anyone please give me some ideas to do it?Thanks!
*January 4, 2009 by Ivy*

**Geometry**

Point A is 5 feet from the center of the circle and 11 feet from point B. Line AB is tangent to circle O at A. Find OB to the nearest tenth.
*April 15, 2012 by Joe*

**Algebra**

Is it possible to find the slope of a line if the equation has two ys? Find slope of the line whose equation is 8y = 7 - 2y Solve for y and you'll have a horizontal line. Combine the y terms. 8y+2y=7 10y=7 y=7/10 The general equation for a straight line is y = mx + b m is the ...
*November 3, 2006 by Samantha*

**calc so confused**

Point (5,3) lies on curve y=sqrt(x+4). If Q is the point (x,sqrt(x+4)), use your calculator to find the slope of the secant line PQ for the following values of x. a)x=4.5 I just want help on this one. What do I do? I don't even understand the question.
*September 18, 2007 by apoorva*

**Calculus PLEASE check my work ,**

1.) which of the following represents dy/dx when y=e^-2x Sec(3x)? A.3e^-2x sec(3x) tan (3x)-2e^-2x Sec(3x)<<<< my choice B.)3e^-2x sec(3x)tan (3x)-2xe^-2x sec(3x) C.)3e^-2x sec(3x)tan (x)-2e^-2x Sec(3x) D.)3e^-2x sec(3x)tan (x)-2xe^-2x sec(3x) 2.)calculate dy/dx if...
*March 12, 2011 by anon*

**math**

Find an equation of the line that has a positive slope and is tangent to the circle (x-1)^2 +(y-1)^2=4 at one of its y-intercepts . Write your answer in the form of y=mx+b.
*March 2, 2008 by jen*

**calculus**

Consider the function. f (x) = 5x3 + 3x (a) Compute the derivative at x = 3 using the limit definition. f '(3) = (b) Find an equation of the tangent line. 2
*June 14, 2010 by Irene*

**Calculus**

Find the slope-predictor formula and write an equation for the line tangent to (a, f(a)) for f(x) = x2 - 6x + 4. Make sure you detail the process.
*December 16, 2010 by Brian Meredith*

**finitemath**

Find an equation of the line containing the given pair of points (3,5)& (9,8) Ok, if we know 2 points we can determine the slope as the difference of the y-values over the difference of the x-values. Thus if P=(3,5)& Q=(9,8) m =(8-5)/(9-3) Now if you know the slope and a point...
*August 28, 2006 by LaTannyia*

**calculus**

At the indicated point for the function, find the following. A graphing utility's numerical derivative feature can be used to check your work. y = (x3 + 2x)3 at x = 3 (a) Find the slope of the tangent line. (b) Find the instantaneous rate of change of the function.
*March 10, 2011 by Adam Janky *

**Calculus**

find the equation of both the tangent lines to the ellipse x^2+9y^2=81 that pass through the point (27,3)
*October 2, 2008 by kelly*

**mathematics**

Find the equation of the smaller circle tangent to both axes and passing the point (-3,6)
*August 3, 2011 by ceasar1*

**Calculus**

A differentiable function f(x,y) has the property that f(2,2)=2 and fx(2,2)=1 and fy(2,2)=2. Find the equation of the tangent plane at the point on the surface z=f(x,y) where x=2, y=2.
*October 17, 2012 by Caroline*

**Calculus**

I was wondering if you would be able to check if my answers are correct: 1. An oil tank is being drained for cleaning. After t minutes there are v litres of oil left in the tank, where v(t)=40(20-t)^2, 0<=t<=20. Determine the rate of change at the time t=10. For this ...
*April 10, 2014 by Sarah*

**Math**

From an exterior point P that is h units from a circle of radius r, a tangent line is drawn to the circle. Let y denote the distance from the point P to the point of tangency T. Express y as a fuction of h.
*January 29, 2012 by Jennifer*

**Calculus Assignment**

Hey there. Okay well I just started first year university and we got an assignment to sorta brush up our rememberance of everything and well...I'm not remebering to well. If anyone can help me with this question that would be great. Thanks. The secant method of finding a root ...
*September 12, 2006 by Tracy*

**geometry**

The equation of a circle is(x-3)squared plus (y+2)squared.The point (8,-2)is on the circle.What is the equation of the line that is tangent to the circle at (8,-2)? y=8 x=8 x=3 y=3
*January 18, 2012 by Dana*

**12th grade calculus**

find points on the curve x^2+xy+y^2=7 (a) where the tangen is parallel to the x-axis adn (b) wehre the tangent is parallel to athe y-axis. (in this case, dy/dx is not defined, but dx/dy is. what value does dx/dy have at these point?)
*October 19, 2008 by -*

**Math, 11**

okay so i am trying to model a cubic equation to fit my curve my base curve is specifications: x value-0 to 6.19 amplitude-0.77 amplitude coordinates-3.73,0.77 x intercepts-0,0 and 6.19 , 0 this is my curve and i have to make a equation and include transformations to make this...
*April 24, 2010 by Functions*

**Algebra**

Need help with two questions. I've been stuck on them for a while now. 1) Find a general form of an equation of the line through the point A that satisfies the given condition. A(−2, 5) slope 3/4 2)Find a general form of an equation of the line through the point A that ...
*February 25, 2013 by Jim*

**Geometry**

Prove that the tangents to a circle at the endpoints of a diameter are parallel. State what is given, what is to be proved, and your plan of proof. Then write a two-column proof. Hint draw a DIAGRAM with the points labeled. Can some one please check for me Given : ...
*July 5, 2007 by DANIELLE*

**Calculus 12th grade (double check my work please) **

1.) which of the following represents dy/dx when y=e^-2x Sec(3x)? A.3e^-2x sec(3x) tan (3x)-2e^-2x Sec(3x)<<<< my choice B.)3e^-2x sec(3x)tan (3x)-2xe^-2x sec(3x) C.)3e^-2x sec(3x)tan (x)-2e^-2x Sec(3x) D.)3e^-2x sec(3x)tan (x)-2xe^-2x sec(3x) 2.)calculate dy/dx if...
*March 7, 2011 by anon*

**Calculus**

the slope of the line tangent to the curve y=(tanx/cosx) at x=(pi/3) is? a)-8 b)2√3 c)3√2 d)8 e)14
*December 5, 2012 by Rudy*

**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*

**Chemistry**

okay so I have this question; Co3^2- is a component of soil and can neutralize acid deposition. Sketch the pH curve for soil containing carbonate ions that undergoes continual addition of hydronium ions from acid deposition. Include relevant chemical equations and information ...
*June 14, 2010 by Jessica*

**calculus**

I am trying to find equation of the tangent line to the curve 2/(1-3x) at x=0 using the definition. I applied it into the formula lim h->0 [f(a+h) - f(a)]/h which gave me [2/(1-3x+h) - 2/(1-3x)]/h I took the conjugate and came with [4/(1-3x+h)^2 - 4/(1-3x)^2] / h(2/(1-3x+h...
*October 1, 2011 by Daniel*

**Calc**

"Consider the surface given by 4x^2-y^2+5z^2-10z=55. a) Find all points on the surface at which the tangent plane is parallel to the plane 8x+y+15z=1. b) Pick one of these points and give the equation of the tangent plane to the surface at that point." Could someone help me ...
*March 1, 2011 by Anonymous*

**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*

**calculus**

Use the four-step process to find the slope of the tangent line to the graph of the given function at any point. (Simplify your answers completely.) f(x) = 2x^2 + 7x
*September 16, 2010 by dan*

**math**

1) An antique dresser was purchased for $7500 in 2005. The dresser increases in value by 9% per year. Find the value of the dresser in 2025. 2) a) Find the slope of the secant to the curve f(x) = 0.25(4)^(x) - 2 between: p1) x=0 and x = 1 p2) x=0 and x=0.5 p3) x=0 and x=0.1 p4...
*April 2, 2013 by Jonathan*

**math**

Consider the parabola y = 7x - x2. (a) Find the slope of the tangent line to the parabola at the point (1, 6). 1
*September 17, 2009 by Anonymous*

**math**

The line y=2x + b is tangent to the graph y= sqrt x at the point P= (a,sqrt a). Find P and determine b
*September 20, 2011 by erika*

**Calculus**

At what value(s) of x on the curve y=−8+90x^3−3x^5 does the tangent line have the largest slope?
*November 23, 2011 by Web9*

**maths**

Find the slope and the y- interceft of each line whose equation is given - 4x +y = 7 write a point slope equation for the line with slope that contains the given point. m = - 5/4,x(-2,6)
*March 26, 2011 by ngo*

**ALG 2!!!**

6. What is the slope of the line represented by the equation x = -9? 7. Write an equation of a line with a slope of 0 and passing through the point (5,4). Hint: To answer this question, consider the type of line that has a slope of 0. Then write an equation of that line using ...
*November 26, 2012 by tyneisha*

**geometry**

ABCD is a rectangle. A is the point (0,1). c is the point (0,6) the equation of the straight line through A and B is y=2x+1. (a)Find the equation of the straight line through D and C
*February 14, 2011 by Anonymous*

**Calculas**

The slope of the tangent line to the graph of a function, h(t) is 7/2t The function passes through the point (5,3) Find h(4)
*March 2, 2014 by ryan*

**Math**

find the coordinates of the point on the curve xy = 10 in the first quadrant such that the normal line passes through the origin
*October 14, 2013 by Anonymous*

**9th grade (math)**

im learnin about y=mx+b 1.describe the line you think each equation represent Y=x, y=5, x=-3 2. The equation of a line is y=mx+2. determione the value of m when the line passes through each point D(12.5) s(1.-3) e(-2.6) a(-5.1)
*October 17, 2009 by jacky*

**algebra**

Find an equation of the line having the given slope and containg the given point m=8/9,(4,-7) The equation of the line is y=? Please help me with this. Thanks
*November 28, 2009 by muff*

**Mathmatics**

I need help. I have no clue about how to solve this problem. Can someone go through it. Find the sope of the tangent line to the graph of the equation y=x^2(x-3) at x=-1 Thanks for the help.
*May 14, 2008 by Neil*

**math **

The equation of line AB is y = 2x + 4. Write an equation of a line parallel to line AB in slope-intercept form that contains point (3, -2).
*February 27, 2014 by krista*

**math **

The equation of line AB is y = 2x + 4. Write an equation of a line parallel to line AB in slope-intercept form that contains point?
*February 27, 2014 by krista*

**calculus**

Find the coordinates of all points on the graph of y=23−x2 at which the tangent line passes through the point (10,26).please show the work i greatly appreciate it :)
*October 30, 2011 by mehak*

**calculus**

supose that (f(x+h)-f(x))/h=3x^2-6h+5 and f(1)=8. ind the equation of the tangent line to the graph of y=f(x) at x=1. if we write this equation in the form y=mx+b then m=? and b=?
*September 30, 2010 by Thalia*

**secant line, tangent line**

f(x) = sqrt(x-1), 1<=x<=3 Let A = (a,f(a)), and B = (b,f(b)). Write an equation for 1. the secant line AB 2. a tangent line to f in the interval (a,b) that is parallel to AB Thank you for all the help. For the line, you have two points, y=mx+b put the two points in, and ...
*October 28, 2006 by Jen*

**homework check**

which if the following statements is false? a. The points of a circle are coplanar b. Concentric circles intersect in exactally one point c. In are AB C Denotes that an arc of the circle has endpoints A and C and that passes thru B d. If a line and a circle are coplanar and ...
*April 15, 2012 by Courtney*

**Algebra**

I know that standard form is Ax+By=C, but I'm not really sure how to do this problem. All help is welcome. Thanks in advance. Write an equation for each line: through (-1,3) and parallel to y=2x+1 I know that the slop will be 2 because it is parallel. If m=2 then used the same...
*September 25, 2006 by Faramir*

**Calculus**

Find normals to the curve xy+2x-y=0 that are parallel to the line 2x+y=0 I have the answer: at(-1,-1), y=-2x-3, and at (3,-3), y=-2x+3 How do we get this? Thanks. xy + 2x - y=0 x dy/dx + y + 2 - dy/dx=0 dy/dx (x-1)= -y-2 dy/dx= - (y+2)/(x-1) The normal to this has a slope of (...
*October 16, 2006 by Jen*

**precalculus**

graph the parabola y=2x^2-6x-3. plot point on the parabola A[1,-7] and draw a line through A with an angle of inclination equal to 30 degrees. then find the equation of the line and its second point of intersection B, with the parabola
*November 28, 2011 by jan*

**Calc**

find the slope of the tangent to the curve: y^2=x^3/xy
*February 22, 2011 by Sophie*

**Calc**

find the slope of the tangent to the curve: y^2=x^3/xy
*February 22, 2011 by Lisa*

**Calculus**

Find the slope of the tangent to the curve y^2=x^3/(xy+6) at (6,3)
*March 15, 2011 by Ana*

**algegra**

find an equation of the line that is parellel to the line y=-4x+3 and that passes throught the point (-1,-8) HELP!!
*August 24, 2010 by tom13*

**Math **

Find an equation of the line that passes through the point (3,10) and is parallel to the line x-3y=1
*January 23, 2011 by Jamie*

**algebra**

find an equation of i line given the slope and one point on the line m=2;(3,2)
*October 28, 2012 by stephanie*

**math**

The equation of a line is y = mx - 1. Find the value of m if the line passes through the point (2, 3).
*February 2, 2014 by cassy*

**Algebra**

Find the equation of the line parallel to the line 3x + y = 5 and containing the point (4, – 2).
*June 23, 2009 by Michelle*

**Algebra**

Find the equation of the line parallel to the line 3x + y = 5 and containing the point (4, – 2)
*June 24, 2009 by Bonnie*

**Algebra**

Find the equation of the line parallel to the line 3x + y = 5 and containing the point (4, – 2).
*June 28, 2009 by Jamie*

**math**

The equation of the line is 6y+5x=15 The point (-12,k) lies on the line. Find the value of k.
*February 14, 2011 by Anonymous*

**Calculus**

find the x-coordinate of the point P on the parabola y=1-x^2 for 0<x<1 where the triangle that is enclosed by the tangent line at P and the coordinate axes has the smallest area.
*November 6, 2008 by Ivan*

**calculus**

Find the x-coordinate of the point P on the parabola y=1-x^2 (0<x=<1) where the triangle enclosed by the tangent line at p and the coordinate axes has the smallest area.
*November 24, 2009 by Anonymous*

**maths**

the straight line l1 has equation y=2x+3 the straight line l2 is parallel to l1 l2 passes through the point (3,2) find an equation for l2
*October 23, 2008 by alex*

**math**

Find an equation of the line having the given slope and containing the given point. m= -3, (1,3) The equation of the line is y =
*September 10, 2010 by SchuRonda*

**math**

Find an equation of the line having the given slope and containing the given point. m= -3, (1,3) The equation of the line is y =
*September 10, 2010 by SchuRonda*

**Algebra**

Find an equation of the line having the given slope and containing the given point. m=7/8, (5,-6) The equation of the line is y=?
*May 24, 2011 by Ann*

**Algebra**

Find an equation of the line having the given slope and containing the given point. M=6/7, (5,-2) The equation of the line is y =
*February 11, 2014 by Pam*

**Algebra**

Find an equation of the line having the given slope and containing the given point. M=4/5,(3,-1) The equation of the line is y=
*February 12, 2014 by Pam*

**Algebra**

Find an equation of the line having the the given slope and containing the given point. M=4/5,(7,-4) The equation of the line is y=?
*February 13, 2014 by Pam*

**Math-Alg**

2. Find the equation of the line which perpendicular to the line -2x + 3y = 32 and passes through the point (-4,-8).
*September 26, 2007 by Anonymous*

**Algebra**

Find the equation of the line parallel to the line 3x + y = 5 and containing the point (4, – 2). This is what I got. Is this correct? y = –3x + 10
*June 26, 2009 by Jacinta*

**calculus**

Find an equation for (a) the vertical line and (b) the horizontal line through the given point. (-3.14,0)
*July 21, 2009 by Dave*

**calculus**

find an equation of the curve that passes through the point (1,1) and whose slope at (x,y) is y^2/x^3
*March 20, 2011 by linda*

**maths**

how do i find out the the equation of the line of symmetry for f(x)=ax^2+bx+c ? please explain it do me thanks! The line of symmetry runs through the vertex. so the x of the vertex is -b/(2a) and the equation of the line of symmetry is x = -b/(2a) e.g. for f(x) = 2x^2 - 12x + ...
*May 25, 2007 by Emma*

**math**

A vector equation for a given straight line is r = (i + 3j) + lambda (-i - j) Construct a vector equation for the line that does go through the point (1,2), and is perpendicular to r. and Determine the point of intersection of the two lines
*October 17, 2012 by HongKit*

**Calc**

Find the equation of the normal line to the curve y=2x-3x^2 at the point (-3,-33) is it a. x-16y+339=0 b. x+20y+339=0 c. x+20y+663=0 d. x-16y+663=0
*November 29, 2011 by Gretchen*

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