Saturday

April 30, 2016
Number of results: 39,555

**Maths (Tangents and Normals)**

curve y = (x^2) - 4x + 5 is tangent perpendiculat to the (line = 2y + x - 7 = 0)
*January 16, 2014 by Sykox*

**Calculus**

Find the slope of the tangent line to the ellipse x^2/4 + y^2/16= 1 at the point (x,y)
*March 23, 2014 by Rowhan *

**Calculus I**

For what values of a and b is the line -4x+y=b tangent to the curve y=ax^3 when x=4? Can anyone give me the hint?
*April 19, 2016 by Anonymous*

**Physics**

A mass m is hanging on a string that passes over a pulley and is then attached to another mass 3m that is resting on a horizontal table (along with the pulley). Neglect friction. Mass m is held montionless and is then released. When it has fallen a distance h, it will have a ...
*January 12, 2010 by Bob*

**Calculus**

2sin(2theta) + sqrt(3) = 0 interval (0,2pi) How do I solve this? I thought about maybe subtracting the sqrt(3) from both sides, so that i would have 2sin(2theta) = -sqrt(3) Then maybe dividing by two? sin(2theta) = -sqrt(3)/2 Am I doing anything right here? It's been a long ...
*September 20, 2011 by Hannah*

**geometry**

What is an equation of the line that passes through (-3,6)and is parallel to the line with the given equation: y=-x-5
*October 28, 2010 by noah*

**Math**

Write an equation of the line with y-intercept 4 that is parallel to the line whose equation is y=3x+2
*February 29, 2012 by amy*

**algebra**

If a line L1 has equation y = mx + b, where m and b are constants with m 0,then an equation of a line L2 perpendicular to L1 has the form , where C is a constant.
*September 5, 2013 by Milly*

**Algebra**

First the slope. Perpendicular to a slope of -3 means a line slope of 1/3 y= 1/3 x + b. Now put in the x,y point and solve for b. write the equation of a line that has a y intercept (0,5) and is perpendicular to the line with equation y=-3x+1
*March 11, 2007 by bobpursley*

**Algebra**

Write the equation of the line satisfiying the givrn geometric conditions. L has y-intercept (0, 2) and is perpendicular to the line with equation 2x-3y=6 Here is my answer please check. -2/3x-2 I can see it is wrong just by looking at the slope. The perpendicular line has a ...
*April 25, 2007 by jessica*

**ALG 2!!!**

Write an equation of a line with an undefined slope and passing through the point (-2,4). Hint: To answer this question, consider the type of line that has an undefined slope. Then write an equation of that line using the values in the ordered pair.
*November 22, 2012 by tyneisha*

**Math**

If line f is parallel to the line h, and line f has y-intercept 5, what is the equation of line f ?
*January 24, 2011 by rolando*

**maths**

which solution is the correct for this equation 4x^3 - 3x = 15 -1.8, -1.7, -1.6, -1.5, 1.5, 1.6, 1.7, 1.8 ?? What is your thinking, and why? Have you considered graphing y= 4x^3 -3x -15 ? Kat, what level of study are you at. This is an equation which can be "solved" only by ...
*May 13, 2007 by kat*

**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*

**math**

Find the distance between (3, 2) and (1, 4). (1, 4) - (3, 2) = (1- -3, 4 - -2) = (1+3, 4+2) = (4,6) |(4,6)| = sqrt[4^2 + 6^2] = sqrt[52] = 2 sqrt[13]
*July 8, 2007 by steph*

**Math**

Simplify the expressions. 1. sqrt(40/169) 2. sqrt(18/13) 3. sqrt(45/32)
*October 21, 2008 by Kiley*

**Math**

Solve: sqrt(7x-5)+sqrt(15x+4)=sqrt(30x+31)
*October 27, 2008 by Shawn*

**Math**

Solve: sqrt(7x-5)+sqrt(15x+4)=sqrt(30x+31)
*October 27, 2008 by Chris*

**Math**

Simplify - sqrt 12b^2 * 2 sqrt 8b. I got -8 sqrt 6
*May 12, 2009 by Angie*

**Calculus**

Differentiate the given function. f(t)= 4(sqrt(t^3)) + 14/sqrt(t) - sqrt(17) f'(t)=?
*February 11, 2010 by Kassie*

**college 209**

multiply (2 sqrt 7 -5 sqrt 3)(8 sqrt7-5 sqrt 3)
*January 16, 2011 by Anonymous*

**Class 12th : Calculus**

If y = sqrt(x-1)+sqrt(x+1),prove that sqrt(x^2-1)dy/dx=1y/2
*June 9, 2011 by Akash*

**MATH**

I had an assignment containing 45 problems, and I am unsure of 4, can you check and see if the answers are correct? 1. Write an equation of the line containing the given point and parallel line (5,-1), 3x-7y=9 My answer was: y=3/7x-22/7 2. Find the equation of the line having ...
*December 6, 2009 by sarah*

**Math**

I had an assignment containing 45 problems, and I am unsure of 4, can you check and see if the answers are correct? 1. Write an equation of the line containing the given point and parallel line (5,-1), 3x-7y=9 My answer was: y=3/7x-22/7 2. Find the equation of the line having ...
*December 6, 2009 by S*

**Math**

I had an assignment containing 45 problems, and I am unsure of 4, can you check and see if the answers are correct? 1. Write an equation of the line containing the given point and parallel line (5,-1), 3x-7y=9 My answer was: y=3/7x-22/7 2. Find the equation of the line having ...
*December 6, 2009 by S:Please, I just need a check*

**Geometry - Circles and tangents**

Two circles of radius 1 are externally tangent at Q . Let PQ and QR be diameters of the two circles. From P a tangent is drawn to the circle with diameter QR , and from R a parallel tangent is drawn to the circle with diameter PQ . Find the distance between these two tangent ...
*March 21, 2013 by Knights*

**Math**

What's the slop of the line whose equation is 87 = 7 - 2y? This is similar to the other one where i posted. You subtract 7 from both sides so the equation will be 80= -2y. Then divide both sides by -2, and the equation will be y=-40. This is a straight line so the slope is ...
*November 5, 2006 by Cynthia*

**radical expression**

What is the radical expression of 1. (11)^-3/2 2. 2^(-1.5) Thanks I will do one. the exponent 3/2 means sqrt of something cubed. So (11)^-3/2 = 1/(11)^ 3/2 =1/ sqrt 11^3 = 1/ sqrt (11^2 * 11)= 1/ (11 sqrt 11)
*January 26, 2007 by Jen*

**Calculus**

Find all values for c in the intercal (1,4) so that the slope of the tangent line at (c,f(c)) equals the slope of the secant line through (1,1/3) and (4,2/3) where f(x) = x/(x+2) 1 </ x </ 4 (<-- that is suppose to be the less than or equal to sign) I'm not sure how ...
*May 27, 2014 by Aria*

**calculus - what is the derivative?**

Let f(x) = 2x^2 + 1 a. Find the derivative f' of f. b. Find an equation ofthe tangent line to the curve at the point (1,3). c. Sketch the graph of f. *Can someone please help me? I have been trying to do my homework for some time now and I am stuck on this problem. I do not ...
*September 21, 2008 by B :)*

**graphing**

Q: How could the function y=3t^2 +4 be plotted on a cartesian graph to produce a straight line? What would be the numerical values of the slope and the intercept of the line? For this it's explained in the lab book for physics as if the function is y=mx+b it would be a ...
*September 2, 2007 by ~christina~*

**algebra**

Which choice is the equation of a line that passes through point (7, 3) and is parallel to the line represented by this equation? y = 2/7x - 3 A. 7x + 3y = 2 B. y = 2/7x + 1 C. y = -7/2x -3 D. 2x + 7y = 1 i would assume that the answer to this would be B, as they both have the...
*November 10, 2013 by caduceus*

**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**

Find the product and enter the real and imaginary parts below. Note that you do not need to type in the since it is already given to you. Simplify your square roots as much as possible. sqrt-27((sqrt-5)-(sqrt-11))
*September 13, 2011 by john*

**Algebra**

graph the equation x-3=y (where do I plot the points?) find the intercepts and then graph: 5x+4y=20 find the intercepts and then graph: 1.4x-1.3y=3.64 graph the equation using slope and y-intercept: y=10/7x +4 graph using slope and y-intercept: x+2y=8 graph by plotting points...
*July 18, 2010 by Jacquie*

**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*

**Physics, help!!**

How do I get the equation T=2pi(sqrt(m/k)) to the linear equation y=mx+b?
*February 4, 2013 by Hannah*

**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*

**Calc.**

Evaluate the indefinite integral. Please check my work? Not sure if I am doing this correctly. S= integral symbol S x^3*sqrt(x^2 + 1) dx u = x^2+1 x^2= u - 1 du = 2xdx du/2 = xdx 1/2 S x^2 * x sqrt (x^2 + 1) du 1/2 S (u - 1) * sqrt (u) du multiply square root of u and (u - 1) ...
*January 27, 2011 by CMM*

**Math**

Use the point-slope form linear equation given to complete the following problems. y-3=3(x+1) 1. What is the slope of the given line? Here's what I did: y-3=3(x+1) y-3+3=3x+3 y=3x+6 m=3 Correct so far? 2. What point does this line pass through, which is the basis of this ...
*January 23, 2014 by Elizabeth*

**Geometry**

Write and equation of the line described A) the line parallel to y = 1\3x +5 and with a y-intercept of 1 B) the line perpendicular to y=-2x+4 and that passes though the point (-1,2)
*March 18, 2010 by Anonymous*

**math **

Find an equation of the line that (a) has the same y-intercept as the line y+2x-12=0 and (b) is parallel to the line 5x+12y=8 Write your answer in the form y=mx+b
*April 27, 2016 by anonymous*

**math,correction**

is this correct: solve: 5(x-2)^2=3 My answer: (10 +/- sqrt 15)/(5) looks like you expanded, then used the formula and you got the right answer properly reduced. I think you are getting this!!! I don't want to confuse you but I would have done the following: (x-2)^2 = 3/5 x-2...
*April 19, 2007 by jasmine20*

**Math**

Find an equation of the line containing the given pair of points. (-5,-2) and (-3,-1). The equation of the line in slope-intercept form is y=. Here is what I came up wiyh: y=1/2x-1/2. Is this correct? I am confused on this problem. Could someone please help? Thanks.
*March 26, 2010 by B.B.*

**Calculus**

Find the slope of the tangent line to the graph of f at any given point f(x) = -2x + 6 at (2,2)
*December 18, 2007 by Kelly*

**math urgent!**

find the eq to the tangent line to the curve y=x^3 g(x) at x=1 if g(1)=2 f(1)=3 f'(1)=1 g'(1)=-2 i cant understand how the answer is y=4x-2
*May 15, 2008 by sam*

**calculus**

Show that the curve given below has no tangent line with slope m1, where: y = 4 x^3 + 8 x - 6 m1 = 7
*November 3, 2008 by BEN*

**12th grade calculus**

let f(x)=x^2 1. show that the line tangent to the graph of f at the point (1,1)is y=2x-1
*November 16, 2008 by dt*

**calculus**

find the point(s) on the graph of y = (2x4 + 1)(x - 5) where the tangent line slope is 1.
*June 16, 2009 by lana*

**calculus**

consider the function f(x)=2x^2 +1. its tangent line at x=2 goes through the points (2,y1) and (-1,y2) where y1=?, y2=?
*September 28, 2010 by Jenny*

**calculus**

consider the function f(x)=2x^2 +1. its tangent line at x=2 goes through the points (2,y1) and (-1,y2) where y1=?, y2=?
*September 28, 2010 by Jenny*

**calculus**

Find the equations for the lines tangent to the ellipse 4x^2+y^2=72 that are perpendicular to the line x+2y+3=0
*October 10, 2010 by Anonymous*

**math**

how do you show that line 3x+y-2=0 is a tangent of the curve y=(4x-3)(x-2) and how to find the point of contact??
*October 17, 2010 by Jack*

**Calculus Help **

Determine the point at which the graph of the function has a horizontal tangent line. f(x) = (9x^2)/(x^2+6)
*October 27, 2010 by Sam *

**Calculus**

let f(x)=x*e^x For what value of x is the slope of the line tangent to the graph of function f at [x,f(x)] equal to 1/2?
*February 3, 2011 by Anna*

**Calculus - Verify?**

Find the slope of the tangent line to the curve (a lemniscate) 2(x^2+y^2)^2 = 25(x^2-y^2) it is at pt (3,1)
*February 20, 2011 by Aric*

**math**

Determine the points on the curve y=x^2(x^3-x)^2 where the tangent line is horizontal. Thx!
*March 20, 2011 by hast*

**math**

using limits...finding the tangent line of the square root of x when x=2
*September 22, 2011 by tiffany *

**Calculus**

Find all points on the curve where the tangent line is horizontal y = (x^6/6) - (x^2/2) + 1
*October 13, 2011 by Blue*

**calculus**

find equations of the tangent lines to the curve y=(x-48)/(x+48) that are parallel to the line y=6x+6
*October 30, 2011 by jihang*

**calculus**

given f(x)=(x). find the distance of the point P(2,5) from the line tangent to the functions at x=4.
*December 7, 2011 by mike*

**calculus**

how do I find the equations for the lines tangent to the curve y 4 + x y= ------ 4 - x which are parallel to the line y = 2x 32.
*March 22, 2012 by Anonymous*

**cal**

determine any values of x for which a tangent line to the curve f(x)=1/x will have a slope of -4
*September 30, 2012 by jump*

**Calculus**

Find the value of c where the line l tangent to the graph of y=2.5*5^x at (0,2.5) intersects the x-axis
*October 1, 2012 by Marlanea*

**Calculus**

Find the value of c where the line l tangent to the graph of y=2.5*5^x at (0,2.5) intersects the x-axis
*October 1, 2012 by Marlanea*

**calculus**

don't understand at all... find the slope of the tangent line to the curve y=xe^x at (1,e)
*October 24, 2012 by dino*

**math**

Use the tangent line approximation to approximate the value of ln(1.004)
*November 19, 2012 by Melissa*

**calculus**

Use the tangent line approximation to approximate the value of ln(1008)
*November 19, 2012 by paul*

**math**

Find the values of a,b, and c if the parabola y=a(x^2)+bx+c is tangent to the line y=-2x+3 at (2,-1) and has a critical point when x=3
*November 22, 2012 by mike*

**mts 106**

Find the gradient at the point (1,1) of the tangent line to the curve x^2+y^2-3x+4y-3=0.
*May 18, 2013 by tunde*

**Calculus**

Find the slope of the tangent line to the curve (a lemniscate) 2(x^2+y^2)^2 = 25(x^2-y^2) at point (-3,-1).
*October 8, 2013 by Nathan*

**math**

let f(x) = x^3 +1 a.find the points on the graph of f where the slope of the tangent line is equal 12
*December 1, 2013 by Tee*

**calculus**

Find the slope of the tangent line to the graph y = x-3 at the point (0.5, 8). Answer -48 -12 4 16
*February 23, 2014 by shira*

**math class**

Find the slope of the tangent line to the graph y = x^-3 at the point (0.5, 8). -48 -12 4 16
*February 23, 2014 by liana*

**calculus**

Find the slope of the tangent line to the curve (2x+4y)^1/2+(2xy)^1/2=13.4 at the point (6,5).
*October 7, 2014 by Hailey*

**Calculus**

1. If the tangent line to y=f(x) at (4,3) passed through the point (0,2), find f(4) and f'(4). My answer: f(4)=3 f'(4)=1/4
*October 17, 2014 by Anonymous*

**AP calculus**

Find values for x and/or y on the graph of x^2-2y^2+9x+8y-276=0 for which there is a vertical tangent line
*November 30, 2014 by DJjazzyjazz*

**AP Calculus**

Find all points on the graph of f(x)=-x^3+3x^2-2 where there is a horizontal tangent line.
*November 30, 2014 by Sarah*

**Math**

For what value of b will the line y=-2x+b be tangent to the parabola y=3x^2+4x-1? Show work-2 marks
*January 15, 2015 by Alex*

**math**

For what value of b will the line y=-2x+b be tangent to the parabola y=3x^2+4x-1 ? (Show your work - 2 marks)
*January 23, 2015 by Alex*

**math**

For what value of b will the line y=-2x+b be tangent to the parabola y=3x^2+4x-1 ? (Show your work - 2 marks)
*January 23, 2015 by Alex*

**Calculus**

Find a function of the form f(x)=a+bsqrtx that is tangent to the line 2y-3x=5 at the point (1, 4)
*December 22, 2015 by Kaitlyn*

**Algebra**

i am having problems understanding.... i don't know how to put it so i will just put what the problem is Write the slope-intercept form of an equation of the line that passes through the given point and is parallel to the graph of each equation 13. (2,-7) y= x-2 i know that 2 ...
*October 23, 2012 by Emmy*

**maths**

Choose the option that gives the solution of the initial-value problem dy dx=(1 + 2 cos2x^2)/y (y > 0), y= 1 when x = 0. Options A y = 1+ 2sin^2 x B y = (1 + 2 sin x)^2 C y = (4x + cos(2x))^2 D y = 4x + cos^2 x E y =sqrt(4x + cos(2x) F y =sqrt(1 + 4x + sin(2x)) G y =1/(sqrt...
*May 11, 2011 by albert*

**college algebra**

Find the product and enter the real and imaginary parts below. Note that you do not need to type in the since it is already given to you. Simplify your square roots as much as possible. sqrt-27((sqrt-5)-(sqrt-11))
*September 13, 2011 by john*

**Math**

1. The curve y=10/2x+1 -2 intersects the x-axis at A. The tangent to the curve at A intersects the y-axis at C. (i) Show that the equation of AC is 5y+4x=8 (ii) Find the distance of AC 2. The equation of a curve is y=1/6(2x-3)^3-4x (i) Find dy/dx (ii) Find the equation of the ...
*January 14, 2013 by Stephen*

**math help & correction**

Problem #1 Is this correct or wrong? Find the slope of the line passing through the points(-1, -1)and(-1, 2). Write the equation of the line. For this one I KEEP GETTING Y= - (3)/(2)x-2.5 Problem #2 Find the y-intecept and slope of 7x+9y=72 My answer: Slope is: - (9)/(8) y-...
*March 31, 2007 by jacky*

**inverse**

find f^-1 (x). (this is asking me to find the inverse) f(x) = -(x-2)^2, x <= 2 how do I solve this problem? find f^-1 (x). (this is asking me to find the inverse) f(x) = -(x-2)^2, x <= 2 how do I solve this problem?>> If f(x)=-(x-2)^2 x<-2, then let y=f(x) - y...
*July 11, 2006 by kristie*

**math**

what way would the line face with the linear equation y=-1/3x+5? A)A line going through the 5 up to the right B)A line going down from 5 c)A line going thru -5 and up D)A line going through positive 1 and to the left. Is it d
*May 23, 2014 by Gwen*

**eigenvalues/eigenvectors**

The matrix; [ 1 -2 0] [-2 -1 1] [ 0 0 -1] I have found the eigenvalues to be -1 and +/- 5^1/2 but am having problems putting the root 5 values a eigenvectors. I know I sub it back into the matrix { x-1 -2 0 } { -2 x+1 1 } { 0 0 x+1} but then it gets messy. Can someone finish ...
*March 10, 2007 by Rom*

**algebra**

The equation y = 6x 50 describes the amount of money a class of students might earn from candy bar sales. What are the slope and y-intercept of this line? In the general linear equation y = mx + b, m is the slope and b is the y-intercept. The y intercept is the value of y ...
*May 13, 2007 by stressed*

**Algebra - equation**

What equation represents a line parallel to the line given by y-3x=6?
*May 18, 2009 by randi*

**Algebra**

What is the equation of the line that passes through (-6,-2) and is parallel it the line with the equation x=4
*April 8, 2015 by Jay*

**algebra**

Which equation represents a line that is parallel to the line whose equation is 2x+3y = 12 1. 6y-4x=2 2. 6y + 4x =2 3. 4x-6y = 2
*February 20, 2016 by Anonymous*

**Math**

Use differentials (or equivalently, a linear approximation) to approximate sin(27 degrees) as follows: Let f(x) = sin(x) and find the equation of the tangent line to f(x) at a nice point near 27 degrees. Then use this to approximate sin(27 degrees).
*December 12, 2014 by Anonymous*

**algebra**

identify the equation of the line through (-1,-4) and parallel to y=-6x+4 i got y=6x+10 Isn't the slope of the original line from y=-6x+4 equal to -6. Your solution has a slope of +6. Are those two lines parallel? i have to identify the equation of a line passing through ...
*December 14, 2006 by eddie*

**Math **

The quantity sqrt(45)- 2sqrt(5) +sqrt(360/2) can be expressed as sqrt(N), where N is an integer. Find N. * the whole fraction 360/2 is squarerooted.
*December 5, 2014 by Matt *

**geometry**

I would love for someone to check my work on the seven problems that I did. I would be eternally grateful. I am going to list my problems and answers. Even if you only want to check one of them, that would be great. 1. Write an equation of a line in point slope form that has a...
*August 2, 2015 by Savannah*

**Geometry equation**

I do not understand how to work a problem or equation out for geometry. The equation refers to two parrellel lines that have a transversal line running diagonal through each one. The exterior anglebottom left part of the top parrellel line, measures at 52 degrees. how do I ...
*May 11, 2010 by BWB*

**Maths**

Line L1 has equation 2x -3y+12=0 Gradient of L1 is 2/3x The line L1 crosses the x axis at the point A and the y axis at the point B. The line L2 is perpendicular to L1 and passes through B. A) find and equation of L2 The line L2 crosses the x axis at the point C B) find the ...
*October 9, 2015 by Anonymous *