sketch the curve with the given polar equation by first sketching the graph of r as...

sketch the curve with the given polar equation by first sketching the graph of r as a function of theta in Cartesian coordinates.

1) r = 3cos(3theta)

2) r = 1 + 3cos(theta)

3) r = sin (theta / 2)

Please solve this problem with a detailed explanation, not just a answer.

Expert Solution

milcah answered 2 years ago

Sketch the curve with the given polar equation by first sketching the graph of r as...

Sketch the curve with the given polar equation by first sketching the graph of r as a function of θ in Cartesian coordinates. r = 3 cos(2θ)

Sketch a graph of the polar equation and find the length and area of the curve in one loop.

(a) Sketch the curve represented by the polar equation: r = 2 + sinθ (b) Find...

(a) Sketch the curve represented by the polar equation: r = 2 + sinθ (b) Find the points on the given polar curve where the tangent line is horizontal or vertical, and what is the tangent line at θ = π/3?

Curve sketching: Choose two of the functions to sketch a graph. you should include the following...

Curve sketching: Choose two of the functions to sketch a graph. you should include the following parts for each. a). domain b). x and y intercepts c). any asymptotes d). intervals of increase/decrease e)/ extreme values f). intervals of concavity and infection points f(x)= 2x+9 / x+3 g(x)= -2 / x+1 h(x)= x^ - 6x^2

What is the area inside the polar curve r = 1 , but outside the polar curve r = 2 cos θ ?

What is the area inside the polar curve r=1, but outside the polar curve r=2cosθ?

Sketch the graph of the curve ? = 1 + sin ? for 0 ≤ ?...

Sketch the graph of the curve ? = 1 + sin ? for 0 ≤ ? ≤ 2? ? b) Find the slope of the tangent line to this curve at ? = 4 . c) Find the polar coordinates of the points on this curve where the tangent line is horizontal.

The spiral of Archimedes is a curve described in polar coordinates by the equation ?? =...

The spiral of Archimedes is a curve described in polar coordinates by the equation ?? = ???? where ?? is the distance of a point from the origin, and ?? is the angle of the point in radians with respect to the positive x-axis. Write an m-file to create a plot of the spiral of Archimedes using 1000 points for 0 ? ?? ? 6?? ?????? when k = 0.5. Be sure to include a title, axis labels, and grid...

Sketch the curve given by the parametric equation x= tan(t) , y=sec (t) for -pi/2 <...

Sketch the curve given by the parametric equation x= tan(t) , y=sec (t) for -pi/2 < t < pi/2. Eliminate the parameter "t" and find the Cartesian form of this curve. What type of curve is this? What curve would be good if "t" belong to the interval (pi/2, 3pi/2)?

using linear curve fit. Display equation and R-square value on graph chart. Use an example to...

using linear curve fit. Display equation and R-square value on graph chart. Use an example to show how to find this on google docs

a. Use the information to sketch the income consumption curve on a graph. b. Draw the...

a. Use the information to sketch the income consumption curve on a graph. b. Draw the Engel curves for hot dogs and hamburgers. Income HotDogs Hamburgers $10 3 7 15 6 9 20 10 10 c. What is the income elasticity of hot dogs for this consumer as income increases from $10 to $15? (calculate using percentage changes of income and quantity demanded).

Question