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Question - Let the curve C1 be given by r = 3: and curve C2 be given by r = 2 + 2sinθ, both with 0 ≤ θ ≤ 2π.
a) What is the slope of a line tangent ot curve C2 at the point with θ = π/4.
b) Give an appropriate integral for determining the area outside C2 and inside C1.
from a boat on the river below a dam the angle of elevation to the top of the dam is 21deg52. if the dam is 2920 feet
Colombia has a population density of about 43 people/km2 and a population of about 48,929,706. What is the approximate area of Colombia? Round to the nearest whole number
Evaluate the derivative of the given function by using the definition of derivative
Assuming that this account pays ^% interest, how much should the year end payments be?
A regular hexagon is inscribed in a circle with a radius of 10 meters. What is the length of each side of the hexagon?
Which of the following vectors is a normal to a line perpendicular to the line (x,y)=(3,4)+t(-5,6)
A cubical box measures 55 centimeters on each side. If the contents are worth $0.17 per cubic centimeter, how much are the contents worth?
Incorporate the following five math vocabulary words into your discussion. Use bold font to emphasize the words in your writing (Do not write definitions for the words; use them appropriately in sentences describing your math work.):
Employees of a local university have been classified according to gender and job type. The following table provides data about the employees.
you have 96 ft of fencing to enclose a rectangular pen for your dog. To provide sufficient running space for the dog to exercise, the pen is to be three times as long as it is wide. Find the dimensions of the pen.
the cost c of an airplane ticket varies directly as the number of miles m in a trip. a 300 mile trip costs 400. what
He has invented a counter for his bike, which counts the number of revolutions the wheels make. One day the counter shows 330 revolutions. how far has billy cycled?
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