Sketch the curve: r = 1- cosθ .
Sketch the curv:e r = -2 sinθ.
Sketch the curve: r = 3 cos 3θ.
(5) a) Sketch r = 3+ 3 cosθ and b) Find the are length of the curve for 2π/3 ≤ θ ≤ π
Convert the polar equation r = sinθ - 2 cosθ to rectangular form.
Find the divergence of the following functions in cylindrical coordinate systems: (a) r cosθ ˆ er − r sinθ ˆ eθ (b) 1/ r ˆ er
Show the following is true by transforming the left side: cosθ/secθ + sinθ/cscθ = 1 Thanks for your help! Show the following is true by transforming the left side 8. cos θ , sin θ sec θ ' csc θ -1
(1 point) Find the slope of the tangent line to the polar curve ?=cos(4?)r=cos(4θ) at the point corresponding to ?=?/3θ=π/3. The tangent line has slope (1 point) Find the slope of the tangent line to the polar curve r = cos(40) at the point corresponding to 0 = a/3. The tangent line has slope
2. Carefully sketch the curve whose polar equation is r -7 cos(6). Include work that shows how you drew the graph. 3. Carefully sketch the curve whose polar equation is r 2+sin . Include work that shows how you drew the graph. 2. Carefully sketch the curve whose polar equation is r -7 cos(6). Include work that shows how you drew the graph. 3. Carefully sketch the curve whose polar equation is r 2+sin . Include work that shows how...
6(6pts) Sketch the curve and find the area it encloses. (SETUP DO NOT EVALUATE) r=1-2 cos 76pts) Find the area of the region that lies outside the first curves and inside the second curve. (SETUP DO NOT EVALUATE) r = 2 and r = 4cos
1. Find the area (exact value) of the region that lies inside the curve r=5cosθ and outside the curve r=2+cosθ 2. Find the area (exact value) of the region that lies inside between curve r=5cosθ and r=2+cosθ 8. Find the area (exact value) of the region that lies inside the curve r = 5cose and outside the curve r = 2 + cose. 9. Find the area (exact value) of the region that lies inside both curves r = 5cose...
7.) Sketch the curve for r = 2 – cos(O) and find the area it encloses
c. Sketch the curve and find the area of the region that lies outside r 2sin0 and inside r=sin0+cos (you must use integral for this question, otherwise(like using formula for area of a circle, etc.,) you will get 0 point) c. Sketch the curve and find the area of the region that lies outside r 2sin0 and inside r=sin0+cos (you must use integral for this question, otherwise(like using formula for area of a circle, etc.,) you will get 0 point)