Question

Write the integral to show the area inside the cardioid r = 2(1 + cos(?)) and to the right of the line x = 2 is 7.600 ; Draw the graph and shade the region.

Answer #1

Use a double integral to find the area inside the circle
r = cos θ and outside the cardioid r = 1 − cos θ.

Find the area of the region that is outside the cardioid r = 1
+cos (theta) and inside the circle r = 3 cos (theta), by
integration in polar coordinates.

Find the area of the region within the cardioid r = 1 − cos θ
for θ ∈ [0, π /2]

2. (a) Find the point on the cardioid r = 2(1 + sin θ) that is
farthest on the right.
(b) What is the area of the region that is inside of this
cardioid and outside the circle r = 6 sin θ?

Find the area of the region inside the circle r = sqrt(3) sinx
and outside cardioid r = 1 + cosx

a)Find the length of half cardioid r = 2-2costheta
b)Find the area of the region that is within r = a (1+ cos
theta) and outside r = a (cos theta)

Find the area of the region inside the circle r = sin θ but
outside the cardioid r = 1 – cos θ. Hint, use an identity for cos
2θ.

Find the area of the region that is inside the curve r = 2 cos θ
+ 2 sin θ and that is to the left of the y-axis.

What is the area inside r = sin(x) and outside r = 1 -
cos(x)?

Write and evaluate the definite integral that represents the
area of the region bounded by the graph of the function and the
tangent line to the graph at the given point. f(x) = 5x^3 − 3, (1,
2)

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 4 minutes ago

asked 10 minutes ago

asked 15 minutes ago

asked 17 minutes ago

asked 21 minutes ago

asked 25 minutes ago

asked 27 minutes ago

asked 46 minutes ago

asked 47 minutes ago

asked 54 minutes ago

asked 1 hour ago

asked 1 hour ago