imaginary roots
hope this helps :)
Answer:
imaginary roots
Step-by-step explanation:
just got the question right.
what is 1/3 and negative 9/20 as decimals??
A. 7.53, -0.53
B. -7.53, -0.53
C. -7.53, 0.53
D. 7.53, 0.53
Answer:
a
Step-by-step explanation:
Part B: How many times greater is the average rate of change of Section B than Section A? Explain why one rate of change is greater than the other. (6 points)
9514 1404 393
Answer:
area = 50π ≈ 157.08 square units
Step-by-step explanation:
The parameter t is the angle in the polar form equation of the curve. The square of the radius is the sum of squares of x and y. The area of a differential sector is ...
dA = (1/2)r²·dt
The figure has 6-fold symmetry, so we only need to find the area of the first lobe of the curve. The integral is shown in the attachment, which evaluates it numerically.
The epicycloid encloses an area of 50π square units.
To calculate the area enclosed by an epicycloid curve defined by given parametric equations, use the area formula for a plane curve and integrate from 0 to 2π. Calculations involve derivatives and integration.
The area that the epicycloid encloses can be calculated using the formula for the area of a plane curve that is parameterized by the equations you provided: x = 7 cos t − cos 7t, y = 7 sin t − sin 7t. This area can be computed by integrating the expression x dy - y dx from 0 to 2π. In the case of these parametric equations, dx and dy are the derivatives of x and y with respect to t (the parameter), which can be calculated as: dx/dt = -7 sin t + 7 sin 7t, dy/dt = 7 cos t - 7 cos 7t. After calculating these derivatives, substitute them into the aforementioned integral, and perform the integration. The result should be the area that the epicycloid encloses.
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