Question

In: Math

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?

Solutions

Expert Solution

Note: to find the equation of tangent line we first need to find slope at the given point.

Details explained in the image.

milcah answered 1 year ago
Next > < Previous

Related Solutions

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)
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.
A) Find the equation of the tangent line to the curve y = 5e-8x at the...
A) Find the equation of the tangent line to the curve y = 5e-8x at the point (0, 5). B) Solve for t. e0.09t = 9 C) Rancher Johann wants to build a three-sided rectangular fence near a river, using 280 yards of fencing. Assume that the river runs straight and that Johann need not fence in the side next to the river. Johann wants to build a fence so that the enclosed area is maximized. What should be the...
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 an equation of the tangent line to the curve cos ( x ) + 11...
Find an equation of the tangent line to the curve cos ( x ) + 11 y ^2 = x y ^3 + 34 at the point ( 0 , √ 3 ) . Assume that y is a function of x . Express all numbers in exact form and write the equation of the tangent line in terms of x and y .
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
What is the equation of the line tangent to the curve at point (12,5)? Sorry! Forgot...
What is the equation of the line tangent to the curve at point (12,5)? Sorry! Forgot to include the curve equation y = 3x2 - 2x + 1
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT