Calculus
posted by Amy .
show that the curves r=asin(è) and r=acos(è) intersect at right angles.
can you show that the derivatives for each are the negative reciprocal of each other? That is the key.
i need more info..i know how to find the derivative...but how will that prove my question. Do I need to graph it after i find the derivatives?
The definition of perpendicular lines is that their slope is the negative reciprocal. The deravative is the slope.
You will need to determine the point of intersection, then evaluate the derivatives at that point. If one is the negative reciprocal of the other, then by definition, they are perpendicular.
Respond to this Question
Similar Questions

Calculus
dy/dx= (y^2 1)/x 1. Give the general equation of the curves that satisfy this equation. 2. Show that the straight lines y=1 and y=1 are also solutions. 3. Do any of the curves you found in 1) intersect y=1? 
Calculuscheck my answers please
dy/dx= (y^2 1)/x 1. Give the general equation of the curves that satisfy this equation. 2. Show that the straight lines y=1 and y=1 are also solutions 3. Do any of the curves you found in 1) intersect y=1? 
Calculus
Show that the curves r=acos(è) and r=cos(è) intersect at right angles. can it be shown that the derivative of one is the negative reciprocal of the derivative of the other? 
calculus
Show that the curves (y= √2sinx) and (y=√2cosx) intersect at right angles at a certain point with 0<x<π/2 
Calculus Help
Let c and dd be positive real numbers. Show that regardless of c,d, the parabolas r=c/(1+cos(theta)) and r=d/{(1costheta) intersect at rights angles 
CALCULUS ONE!
The graph of sinx and cosx intersect once between 0 and pi/2. What is the angle between the two curves at the point where they intersect? 
calculus
Find all values of 'a' such that y=a/(x−9) and y=x^2−18x+81 intersect at right angles. show steps please :) 
calculus
two curves are orthogonal at a point of intersection of their tangents at that point cross at right angles. Show that the curves 2x^2+3y^2=5 and y^2=x^3 are orthogonal at (1,1) and (1,1). Use parametric mode to draw the curves and … 
calculus
1.) values of f(t) are given in the following table: t 0 2 4 6 8 10 f(t) 137 112 88 68 49 34 a. Does this function appear to have a positive or negative first derivative? 
Geometry
2.Given two segments with lengths x and y (x does not equal y), which three special parallelograms meet the three sets of given conditions?