Question

3) a) Find a polar equation for the circle x^2 + (y -2)^2 = 4. b)Find...

3)

a) Find a polar equation for the circle x^2 + (y -2)^2 = 4.

b)Find the arc length of the polar curve r = 3^θ from θ=0 to θ=2.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
4) Consider the polar curve r=e2theta a) Find the parametric equations x = f(θ), y =...
4) Consider the polar curve r=e2theta a) Find the parametric equations x = f(θ), y = g(θ) for this curve. b) Find the slope of the line tangent to this curve when θ=π. 6) a)Suppose r(t) = < cos(3t), sin(3t),4t >. Find the equation of the tangent line to r(t) at the point (-1, 0, 4pi). b) Find a vector orthogonal to the plane through the points P (1, 1, 1), Q(2, 0, 3), and R(1, 1, 2) and the...
1) Show that the formulas below represent the equation of a circle. x = h +...
1) Show that the formulas below represent the equation of a circle. x = h + r cos θ y = k + r sin θ 2) Use the equations in the preceding problem to find a set of parametric equations for a circle whose radius is r = 4 and whose center is (-1,-2). 3)  Plot each of the following points on the polar plane. A(2, π/4), B(1, 3π/2), C(4, π)
Given any Cartesian coordinates, (x,y), there are polar coordinates (?,?)(r,θ) with −?2<?≤?2.−π2<θ≤π2. Find polar coordinates with...
Given any Cartesian coordinates, (x,y), there are polar coordinates (?,?)(r,θ) with −?2<?≤?2.−π2<θ≤π2. Find polar coordinates with −?2<?≤?2−π2<θ≤π2 for the following Cartesian coordinates: (a) If (?,?)=(18,−10)(x,y)=(18,−10) then (?,?)=((r,θ)=(  ,  )), (b) If (?,?)=(7,8)(x,y)=(7,8) then (?,?)=((r,θ)=(  ,  )), (c) If (?,?)=(−10,6)(x,y)=(−10,6) then (?,?)=((r,θ)=(  ,  )), (d) If (?,?)=(17,3)(x,y)=(17,3) then (?,?)=((r,θ)=(  ,  )), (e) If (?,?)=(−7,−5)(x,y)=(−7,−5) then (?,?)=((r,θ)=(  ,  )), (f) If (?,?)=(0,−1)(x,y)=(0,−1) then (?,?)=((r,θ)=( ,))
2. Rotate the semicircle of radius 2 given by y = √(4 − x^2) about the...
2. Rotate the semicircle of radius 2 given by y = √(4 − x^2) about the x-axis to generate a sphere of radius 2, and use this to calculate the surface area of the sphere. 3. Consider the curve given by parametric equations x = 2 sin(t), y = 2 cos(t). a. Find dy/dx b. Find the arclength of the curve for 0 ≤ θ ≤ 2π. 4. a. Sketch one loop of the curve r = sin(2θ) and find...
Question: Find the arc length of y= ( x^2 / 2) cut by circle x^2 +...
Question: Find the arc length of y= ( x^2 / 2) cut by circle x^2 + y^2 =3
a) Find the parametric equations for the circle centered at (1,0) of radius 2 generated clockwise...
a) Find the parametric equations for the circle centered at (1,0) of radius 2 generated clockwise starting from (1+21/2 , 21/2). <---( one plus square root 2, square root 2) b) When given x(t) = tcost, y(t) = sint, 0 <_ t. Find dy/dx as a function of t. c) When given the parametric equations x(t) = eatsin2*(pi)*t, y(t) = eatcos2*(pi)*t where a is a real number. Find the arc length as a function of a for 0 <_ t...
Find an equation for the line tangent to the circle x^(2)+y^(2)= 25 at the point(3,−4).
Find an equation for the line tangent to the circle x^(2)+y^(2)= 25 at the point(3,−4).
Circle A with the equation (x+1)2 + (y‒4)2 = 20 was transformed to Circle B with...
Circle A with the equation (x+1)2 + (y‒4)2 = 20 was transformed to Circle B with an equation of (x‒5)2 + (y‒2)2= 5. Which statement describes the dilation that would be performed to enlarge Circle B to the same size as Circle A? A. Multiply the radius by 4. B. Add 2 units to the radius. C. Multiply the radius by 2. D. Add 15 to the radius.
With the parametric equation x=cos(t)+tsin(t), y=sin(t)-tcos(t) , 0 ≤ t ≤ 2π) Find the length of...
With the parametric equation x=cos(t)+tsin(t), y=sin(t)-tcos(t) , 0 ≤ t ≤ 2π) Find the length of the given curve. (10 point)     2) In the circle of r = 6, the area above the r = 3 cos (θ) line Write the integral or integrals expressing the area of ​​this region by drawing. (10 point)
1) x = t^3 + 1 , y = t^2 - t , Find an equation...
1) x = t^3 + 1 , y = t^2 - t , Find an equation of the tangent to the curve at the point corresponding to t = 1 2) x = t^2 + 1 , y = 3t^2 + t ,Find a) dy/dx , b) (d^2)y / dx^2 c) For which values of t is the curve concave upward? 3) sketch the curve: r = 1 - 3cos θ 4)A demand curve is given by p = 450/(x...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT