equations of tangents and normals

posted by .

hi, i'd really appreciate some help solving this question! I am completely at loss here :/ The question is to:

Find the equation of the normal to y=loge(x+2) which is parallel to the line with equation y+3x-5=0

I am fine at solving these sorts of equations when they give me one equation and an provide a given x value but in this question i have no idea what i am meant to be doing... Please help!!

Put the second equation in slope intercept form
y=-3x +5 slope is -3

So what is the slope of the tangent to
y=ln(x+2)
slope= 1/(x+2)

so the inverse negative slope will be

- (x+2), this has to equal -3x
set them equal, and you have the x where it occurs.
Put that x into the log equation, and find y.
y=mx +b
You have y, m, x, solve for b.

Similar Questions

1. 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?
2. Calculus - Maths

I got a few questions. Hope ya'll can help out. 1) for F(X) = 6x - 2x^2 Find the gradient of the chord joining the point where the X coorinates are 1 and (1+h) respectively. b) hence find the gradient at x=1 2) Find the Coordinates …
3. Calculus

Find the normals to the curve xy + 2x - y = 0 that are parallel to the line 2x + y = 0. I can find the normal lines and the slope but I don't know what I'm suppose to do with the line 2x + y = 0
4. Calculus

Find the normals to the curve xy + 2x - y = 0 that are parallel to the line 2x + y = 0. I can find the normal lines and the slope but I don't know what I'm suppose to do with the line 2x + y = 0
5. Vectors

3 planes; \$: x+2y-2z-6=0 %: 2x-y+z+8=0 £: 2x-y+2z+3=0 (a)(i)Find the cartesian equation for the plane @ parallel to \$ and containing the point (1,1,2) (ii)Calculate the distance between \$ and @ (b)(i)Find the parametric equations …
6. vectors

3 planes; \$: x+2y-2z-6=0 %: 2x-y+z+8=0 £: 2x-y+2z+3=0 (a)(i)Find the cartesian equation for the plane @ parallel to \$ and containing the point (1,1,2) (ii)Calculate the distance between \$ and @ (b)(i)Find the parametric equations …
7. Maths (Tangents and Normals)

find the points on the curve [(x^2 )+ (y^2) = 18] at which the tangents are parallel to the line x+y = 3
8. Maths (Tangents and Normals)

curve y = (x^2) - 4x + 5 is tangent perpendiculat to the (line = 2y + x - 7 = 0)
9. Algebra

I really need your help in solving this problem. I appreciate your time and efforts. Have a terrific day :) Here is the question: For each expression, perform the indicated operations and simplify, if possible. Solve each equation …
10. Calculus

determine the equation of a plane, P3, that intersects the planes P1: x + y + 3z − 2 = 0 and P2: x − y + 2z = 0 in a point; a line. I know the normals are (1,1,3) and (1,-1,2) clearly the lines don't intersect because the …

More Similar Questions