Number of results: 123,870

**Writing this equation**

how do I write the equation of a line perpendicular to the line 6x – 3y=10 and containing the point (-6, 2). The line you are given can have its equation rewritten im y = mx + b as: y = 2x - 10/3 That tells you that is slope is m = 2. A line that is perpendicular to that ...

*July 24, 2007 by Katty*

**Calculus**

I think I have the correct answers for the following problems. For anyone who has the time I would appreciate it if you could tell me if I am correct/incorrect. Thank you. 1). Differentiate ã(x)sin x = (2xcosx+sinx)/2ã(x) 2). Differentiate 2t/(4+t^2) = (8-2t^2)/(4+t^2)^2...

*September 25, 2011 by Linda*

**english**

equation 4x = 5y + 7. You want to find a line that has that point and is parallel to that line. You must first convert that equation into the y = mx + b form. 5y = 4x - 7; y = 4x/5 - 7/5; we know that a parallel line has a slope that is the same which would be 4/5. Do you know...

*April 13, 2010 by Anonymous*

**calculus**

I have two questions please. 1. find an equation for the line with the given properties. Express in slope-inntercept form. 2. find the equation of a line that is perpendicular to the line y=1/2x+4 and contains the point (-3,0) please show work

*December 9, 2012 by spazed out*

**calculus**

I have two questions please. 1. find an equation for the line with the given properties. Express in slope-inntercept form. 2. find the equation of a line that is perpendicular to the line y=1/2x+4 and contains the point (-3,0) please show work

*December 9, 2012 by spazed out*

**AP CALCULUS**

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).

*November 7, 2010 by Naz*

**precalculus**

Find (a) the equation of a line that is parallel to the given line and includes the given point, and (b) the equation of a line that is perpendicular to the given line through the given point. Write both answers in slope-intercept form. (c) Graph both of these lines on the ...

*November 11, 2011 by tinathomas*

**college math**

find the slope of the tangent line to the graph of f at the given point. Graph f and the tangen line. 9. f(x) = 3x +5 at (1.8) 10. f(x)=2x + 1 at (-1,3) Please, help me with this problems. thanks

*October 19, 2011 by Dave*

**Calculus**

Find the slope of the tangent line to the ellipse (x^2)/4 + (y^2)/9 = 1 at the point (x,y)

*February 23, 2011 by Lisa*

**Calculus**

If the tangent line to y = f(x) at (4, 3) passes through the point (0, 2), find f(4) and f'(4).

*October 18, 2011 by Jake*

**Calculus**

If the tangent line to y = f(x) at (4, 3) passes through the point (0, 2), find f(4) and f'(4).

*October 18, 2011 by Jake*

**CALC**

Find the tangent line to the ellipse defined by 3x^2 + 5y^2 = 17 at the point (-2, 1).

*December 28, 2011 by TIFFANY*

**calculus**

find the slope of the tangent line at the point P(1,1) on the graph of e^x-y=2x^2-y^2

*January 17, 2012 by becca*

**math**

find tangent line to the circle x^2 + y^2=100 at point (-6,8)

*February 5, 2012 by Declan*

**calculus**

find the slope of the tangent line at the point (1,2) for the ellipse 2x^2+3y^2=14 y'(1) = ??

*April 13, 2012 by Mhd*

**Calculus grade 12**

find the slope of the tangent line to y^4 = 3x^2 - 2x at the point (1,1)

*June 21, 2012 by Albert*

**calc**

Find the slope of the tangent line to the graph y = x-3 at the point (0.5, 8)

*December 9, 2012 by Meera*

**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*

**equation of a line**

How to find a point on the line? x cordinate is given as x. The diagram is like a rectangle is inscribed in an isosceles right triangle whose hypotneus is 2 units long. AB is another side of the right triangle and P is a point on it(also a vertex of the rectangle). How do I ...

*November 19, 2006 by Jen*

**calculus**

Find a function f such that the curve y = f(x) satisfies y'' = 12x, passes through the point (0,1), and has a horizontal tangent there. I can use the anti-derivatives to get y = 2x^3 + Cx + D but I don't know how to get C even though I know D = 1.

*November 29, 2012 by asdf*

**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*

**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*

**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**

If the line 3x-4y=0 is tangent in the first quadrant to the curve y=x^3+k, then k is? I got 1/4 is this correct?

*December 5, 2016 by Ian*

**Advanced Math**

1. The distance s(t) between an object and its starting point is given by the anti derivitive of the velocity function v(t). find the distance between the object and its starting point after 15 sec if v(t)=0.2t^2+2t+10 meters/seconds. MY ANSWER: 600 meters. 2.Find the slope of...

*June 15, 2009 by Patrick*

**AlGEBRA 2 (check answers plz)**

What is the equation of the line that has a slope of -2 and a y-intercept of -7? y = -2x - 7 <-- y = -7x - 2 y = -2x + 7 y = -7x + 2 or <-- Find the equation of the line that has a slope of 4 and contains the point (-4, 1). y = 4x + 1 <-- y = 4x - 8 y = 4x - 15 y = 4x...

*February 2, 2017 by Debbie*

**calculus**

Find the equation of the tangent line to the graph of f(x)=4x^3-1x^2+1 at x=-2.

*October 12, 2010 by jo*

**Calculus Please Help**

Let f(x) = x^3 - x^2 + x - 1. Find an equation for tangent line to f at x = 2.

*March 23, 2011 by Abi*

**Calculus Please Help**

Let f(x) = x^3 - x^2 + x - 1. Find an equation for tangent line to f at x = 2.

*March 23, 2011 by Cecille*

**Calculus**

find f(3) and f'(3), assuming that the tangent line to y=f(x) at a=3 has the equation y=5x+2.

*September 7, 2011 by Hannah*

**Calculus**

find an equation for the line tangent to y=2-6x^2 at (-5,-148)

*September 7, 2011 by Hina*

**math**

Find f(3) and f'(3), assuming that the tangent line to y=f(x) at a=3 has the equation y=5x+2

*September 22, 2011 by Anonymous*

**calculus**

Find an equation of the tangent line to the graph y=(x^3 + 2)^5 at x= -1

*December 10, 2011 by Maha*

**Math**

Find an equation of the tangent line to the graph of y = f(x) at x = a, a = 1. f(x) = x + 3/x^2 + 1

*April 13, 2012 by Sandra Gibson*

**calculus**

find the equation of the line tangent to the graph y=3e^x at x=1

*January 30, 2013 by Anonymous*

**calculus**

find the equation of the line tangent to the graph y=3e^x at x=1

*January 30, 2013 by Anonymous*

**Calculus 1**

Given f(x)= 3e^(1-x^2)*ln(x), find the equation of the tangent line at x = 1.

*October 26, 2014 by Ben*

**Calculus**

If f(1)=4 and f'(1)=2, find an equation of the tangent line at x=1 A. y=2x+2 B. y=2x-2 C. y=4x-7 D. y=4x-2 E. None of these

*November 30, 2014 by Anonymous*

**Calculus**

Find the equation of the tangent line when x=2 for the functin f(x)=5^(x/2)

*March 29, 2015 by Anonymous*

**geomery**

Triangle ABC, inscribed in a circle, has AB = 15 and BC = 25. A tangent to the circle is drawn at B, and a line through A parallel to this tangent intersects line BC at D. Find DC.

*June 26, 2015 by Bobby*

**calculus**

Help! I have a test tommorow! I don't understand (b), (c), (e), and (g). The answers are listed following the each question. Here's a discription of the graph: There is a graph of a function f consists of a semi circle (-3 to 1 faced downward on the x-axis) and two line ...

*October 26, 2007 by Anonymous*

**calculus**

For the function y = 9x2 + 6x + 2, at the point x = 7, find the following. (a) the slope of the tangent to the curve (b) the instantaneous rate of change of the function

*October 20, 2012 by Anonymous*

**Maths**

what is the equation for the tangent to the curve 6y=7-x^3 at (1,1)?

*April 19, 2012 by its urgent!!!!!!!!!!*

**Chemistry**

For chemistry, I have to make a line graph. My teacher specifically instructed us to make one with smooth, fluid lines, not with choppy ones, so it would form a curve. I am suppposed to find the slope of the line, but I don't know how to, because the line goes up and down and ...

*February 16, 2009 by Coralie*

**algebra review!**

it says write the equation of the vertical line that passes through the point (7,-3). what do i need to start it off? find the equation for the line with undefined slope and passing through the point (-1,-2). what do i need to start that off? what equation do i use to find the...

*September 3, 2009 by trixie*

**Geometry**

Hi, For one part of my problem I have had to find the equation of a straight line that passes through two points, I have done this but now i need to determine whether a new point lies on this line by using the equation from the first part, how would I do this please. The ...

*May 20, 2010 by Rich*

**calculus**

the curve with equation 2(x^2+y^2)^2=9(x^2-y^2) is called a lemniscate. find the points on the lemniscate where the tangent is horizontal.

*October 30, 2011 by Lee*

**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*

**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**

given f(x)=ã(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*

**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*

**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**

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*

**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*

**Calculus**

Can anybody help me with this? Consider the surface xyz = 20. A. Find the unit normal vector to the surface at the point (1, 4, 5) with positive first coordinate. (___,___,___) B. Find the equation of the tangent plane to the surface at the given point. Express your answer in ...

*October 15, 2007 by Mike*

**calculus help please**

Find the points where the tangent line is horizontal or vertical. Find the area under one period of the curve. x= r(deta - cos deta) Y= r(1- sin deta) deta= pie/3

*August 28, 2010 by stan*

**AP Calculus**

Find an equation of all tangent lines for the curve x^2-xy+y^2=16 x=-2 2x-(xy'+y(1))+2yy'=0 2x-xy'+y+2yy'=0 y'(-x+2y)=-2x-y y'=-2x-y/-x+2y y'=-2(0)-y/-(0)+2y y'=-y/2y Not sure what to do now?

*September 14, 2014 by Selena*

**Math/Physics**

For a velocity-time graph, what does the "tangent line of the curve" represent?

*July 13, 2008 by Matt*

**GEOMETRY INSCRIBED ANGLES MULTIPLE CHOICE QUESTION**

segment BC is tangent to circle A at B and to circle D at C. (Not drawn to scale) AB=10 BC=25 and DC=3. Find AD to the nearest tenth. Hint: Draw an auxiliary line from D to segment BA. {There are two circles, the larger one has point A in the center and a dotted line going up ...

*May 15, 2012 by aYaMe ;)*

**Calculus**

The expression dy/dx = x*(cube root y) gives the slope at any point of the graph of the function f(x) where f(2) = 8. A. Write the equation of the tangent line to f(x) and any point (2,8). B. Write an expression for f(x) in terms of x. C. What is the domain of f(x)? D. What is...

*April 26, 2015 by ashley*

**Calculus**

The City Electric System(CES) recently constructed a major transmission line along parts of South Street in the city. The transmission lines are strung between power poles and the hanging lines form a catenary curve. For this Problem we will use the following equation y=(T/w)...

*March 7, 2016 by Jay*

**calculus**

find,if any, an equation for a common tangent line to these 2 curves:5x^2;and 5x^2-x+6

*October 12, 2010 by lam*

**calculus**

y=3⋅2^x Find the equation of the line tangent to the graph of y at x=1.5.

*October 14, 2010 by jordyn*

**Calculus**

Find the equation of the tangent line to the graph of f(x) = −6x ln(x + 10) at x = 0.

*October 20, 2010 by Erika*

**Calculus**

Find the equation of the line tangent to the graph of f at (1,1) where f is given by f(x)=2x^3-2x^2+1

*February 8, 2011 by Grace*

**Ap Calculus**

Find the equation of the tangent line to the graph of f(x)=cos3xlnx^4 at (1,0)

*February 10, 2011 by Dinorah*

**algebra 2**

how to find equation of horizontal tangent line of 2y^3+6x^2y-12x^2+6y=1

*April 4, 2011 by Anonymous*

**Calculus**

Find the equation of a circle with center C(1,6) and tangent line x-y-1=0.

*July 29, 2011 by Cad*

**Calculus**

Find the equation of the tangent line to the graph of √(xy)=x-2y at (4,1)

*April 17, 2012 by Alan*

**Calculus**

Find the slope of the tangent line to the graph of the equation: y = (2x^2+3)(x-1) at x=2. a = 11 b = 08 c = 19 d = 16

*April 26, 2012 by What's the Difference?*

**calculus**

Find the equation of the tangent line to the graph of the function f(x)=x-3/3x-5 at x=1

*October 22, 2012 by Derik*

**maths**

Find the equation of the tangent to circle x² + y² - 6x + 4y - 12 = 0 which is parallel to line 4x +3y +5

*January 4, 2013 by nanuna*

**calculus**

Find the equation of the tangent line to the ellipse x 2 + 4y 2 = 25 when x = 3 and y < 0. Answer 3x - 8y = 7 3x - 8y = 25 3x + 8y = 7 3x + 8y = 25

*February 23, 2014 by shira*

**Urgent Calculus Help 2**

Find the equation of the tangent line to the graph of f(x) = 6x ln(x + 4) at x = 2.

*July 9, 2014 by Anonymous*

**Calculus**

Find the equation of the tangent line to f(x)=sec x - 2 cos x at (pi/3, 1).

*August 30, 2015 by Anonymous*

**calculous**

3.Given the function f defined by f(x)=2x^3-3x^2-12x+20 a.Find the zeros of f b.Write an equation of the line perpendicular to the graph of f at x = 0 c. Find the x and y coordinates of all points on the graph of f where the line tangent to the graph is parallel to the x axis.

*November 5, 2011 by Yoona*

**Linear Approximation**

Use linear approximation, i.e. the tangent line, to approximate 1/0.104 as follows: Let f(x)=1/x and find the equation of the tangent line to f(x) at a "nice" point near 0.104 . Then use this to approximate 1/0.104 . L(x)=f(a)+f'(a)(x-a)...i think. You're notation is slightly ...

*October 14, 2006 by Jojo*

**Math**

Find the function f, given that the slope of the tangent line at any point (x,f(x)) is f '(x) and that the graph of f passes through the given point. f '(x)=6(2x-7)^5 at (4, 3/2)

*April 9, 2014 by Vanessa*

**Calculus**

I am not sure what to do here: Find the derivative (f '(x) using the limit process a). f(x)= 2x^2+5x+2 find f ' (2) b.) Find the equation of the Tangent Line at (1,5)

*May 21, 2012 by Sam*

**algebra**

Write the equation of the line that passes through point (5, 4) with a slope of 0. would this be x=5 then? no x=5 is the equation of the vertical line passing through (5,4) Any horizontal line, (slope=0), has an equation of the form y = b notice that this is a variation of the...

*May 13, 2007 by stressed*

**Calculus**

Find the linear approximation of the function f(x)=^3sqrt(1+3x) at a=0 and use it to approximate ^3sqrt(1.03)Is this an overestimate or underestimate of the actual value? Explain your answer in terms of the tangent line and the curve.

*April 11, 2013 by Anonymous*

**maths**

1) Circle centre (7,-2) passes through (-2,10). Calculate radius and find equation of circle. 2) AB is diameter of circle A(9,5) B(-1,-7). Find equation of circle mid point. I know i have to use the eqn (x1+x2)/2 and (y1+y2)/2 3) Find the equation of circle with centre (-8,5...

*February 24, 2008 by Anonymous*

**mathematics**

The circle x2-2x+y2-4y-4=0 lies on the cartesian plane,question 2.1.1 equation of new circle which is the rotation of original circle through 180 degree around the origin...2.1.2 find equation of another circle which is the translation (x;y)-(x-8;y-6) of the points of the ...

*March 21, 2013 by Jossie*

**Pre- Algebra**

Given an equation of a line, how do I find equations for lines parallel to it going through specified points Simplifying the equations into slope-intercept form. 1. y= -2x -4; (1, 3) how do I write the equation of a line parallel to the given line but passing through the given...

*August 14, 2013 by Roosevelt*

**Calculus**

Mathematica Project - Position, Velocity, and Acceleration? A rocket is fired vertically upward into the air from a launching platform 100 ft above the ground. The platform is then retracted, and the rocket is allowed to fall to the ground. The height (in ft) of the rocket ...

*July 19, 2013 by Ken*

**economics**

elow kindy ans. my question pls.. what is optium point in budget line and indefference curve, and also what is the diff. between budget line and indefference curve?..

*February 21, 2009 by vanie*

**Precalc**

A line in space has the vector equation shown here. Fill in the blanks to find the position vector to the fixed point on the line that appears in the equation: vector r=(5+(6/11)d)vector i + (3+(9/11)d)vector j + (7+(2/11)d)vector k vector v= _____ vector i + _____ vector j + ...

*January 18, 2012 by Grace*

**calculus**

Find the slope of the tangent line to the graph of the function at the given point. g(x) = 3 x + 4, (-4, 1)

*March 2, 2010 by B*

**calculus**

f(x)=3-5x , (-1,8) find the slope of the tangent line to the graph of the function at the given point

*February 11, 2011 by art*

**calculus**

given f(x)=sqrt(x). find the distance of the point P(2,5) from the line tangent to the functions at x=4.

*December 8, 2011 by mike*

**MATH**

Find the slope of the tangent line to the graph of the function at the given point. g(x) = 7/2x + 9, (-2, 2)

*February 13, 2012 by Anonymous*

**MATH**

Find the slope of the tangent line to the graph of the function at the given point. g(x) = 7/2x + 9, (-2, 2)

*February 13, 2012 by Anonymous*

**maths**

Find parametric equations of the line that is tangent to the parabola y = x^2 at the point (−2, 4).

*December 11, 2012 by ramesh*

**Algebra 1**

Algebra 1 help please :( Use the point-slope from linear equation given to complete the following problems.... y+4=-4(x-2) 1. What is the slope of the given line? 2. What point does this line pass through, which is the basis of this equation? 3. Rewrite this equation in slope-...

*February 23, 2016 by Anonymous*

**math**

Let AB be the diameter of circle Γ1. In the interior of Γ1, there are circles Γ2 and Γ3 that are tangent to Γ1 at A and B, respectively. Γ2 and Γ3 are also externally tangent at the point C. This tangent line (at C) cuts Γ1 at P and Q, ...

*May 8, 2013 by hemant*

**calc**

Let f(x)=2x+15−19ex. Then the equation of the tangent line to the graph of f(x) at the point (0,−4) is given by y=mx+b for m=? b=?

*April 6, 2015 by Anonymous*

**calculus**

how would i go about finding the tangent line to the curve of sqrt(1+4x^2y^2)-3xy=-18 with the points (3,6)?

*November 19, 2012 by Anonymous*

**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*