Question

In: Math

Find the equation of the tangent line to the curve at the given point using implicit...

Find the equation of the tangent line to the curve at the given point using implicit differentiation.

Cardioid

(x² + y² + y)² = x² + y² at (−1, 0)

Solutions

Expert Solution

milcah answered 1 year ago

Next > < Previous

Related Solutions

Use implicit differentiation to find an equation of the tangent line to the curve

part 1) Use implicit differentiation to find an equation of the tangent line to the curve sin(x+y)=6x−6y at the point (π,π) Tangent Line Equation: y= part 2) Find an equation of the tangent line to the curve x^(2/3)+y^(2/3)=13 at the point (−8,27) y= part 3) Find an equation of the tangent line to the curve (x^2/36)+(y^2/81)=1 at the point (−3,(−9/2)√3) An equation of this tangent line to the ellipse at the given point is y=mx+b where m= and b=...

Use implicit differentiation to find an equation of the tangent line to the curve at the...

Use implicit differentiation to find an equation of the tangent line to the curve at the given point. x2 + y2 = (5x2 + 2y2 − x)2 (0, 0.5) (cardioid) y =

Find the equation of the tangent line to the curve at the point corresponding to the...

Find the equation of the tangent line to the curve at the point corresponding to the given value of t 1. x=cost+tsint, y=sint-tcost t=7pi/4 2. x=cost+tsint, y=sint-tcost t=3pi/4?

Find the equation of the tangent line to the curve given by: x= t2 + 2t...

Find the equation of the tangent line to the curve given by: x= t2 + 2t - 3 y= t3 -2 (5.6).

Find the slope of the tangent line to the following curve at the point given. r=...

Find the slope of the tangent line to the following curve at the point given. r= Cos(3theta) + Sin(2theta) (1,0)

Find the equation of the tangent line of the curve given by: y sin(6x) = x...

Find the equation of the tangent line of the curve given by: y sin(6x) = x cos(6y) at the point (pi/6 , pi/12).

Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point.

3. (5 points) (a): Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point.$$ x=e^{-t} \cos t, \quad y=e^{-t} \sin t, \quad z=e^{-t} ; \quad(1,0,1) $$(b): Find the unit tangent vector $\mathbf{T}$, the principal unit normal $\mathbf{N}$, and the curvature $\kappa$ for the space curve,$$ \mathbf{r}(t)=<3 3="" 4="" sin="" cos="" t="">$$

Find the equation (in terms of x and y) of the tangent line to the curve...

Find the equation (in terms of x and y) of the tangent line to the curve r=5sin5θ at θ=π/3.

1. Find an equation for the line in the xy−plane that is tangent to the curve...

1. Find an equation for the line in the xy−plane that is tangent to the curve at the point corresponding to the given value of t. Also, find the value of d^2y/dx^2 at this point. x=sec t, y=tan t, t=π/6 2. Find the length of the parametric curve: x=cos t, y=t+sin t, 0 ≤ t ≤ π. Hint:To integrate , use the identity, and complete the integral.

Find the equation (in terms of x and y) of the tangent line to the curve...

Find the equation (in terms of x and y) of the tangent line to the curve r=2sin5θ at θ=π/3.

Subjects