Find the area of the specified region.Inside the outer loop and outside the inner loop of the limacon r = 8 cos ? - 4
A. 8(4? + 3)
B. 8(2? - 3)
C. (4? - 3
)
D. 16(? + 3)
Answer: D
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Find the general solution of the differential equation. Use C, C1, C2, . . . to denote arbitrary constants. If used, do not simplify hyperbolic functions.y'(t) = 7 + e-3t
A. y = 7 - + C
B. y = 7t - + C
C. y = 7t + e-3t + C
D. y = -3e-3t + C
Identify the figure and name it using the labels shown.
A. ray FA, or
B. ray AF, or
C. line FA, or
D. line segment FA, or
Solve the problem.A ball is tossed upward. Its height after t seconds is given in the table. Find a quadratic function to model the data. Use the model to determine when the ball reaches its maximum height, as well as the value of the maximum height.
A. The ball never reaches a maximum height. B. The ball reaches a maximum height of 40 feet in 1.5 seconds. C. The ball reaches a maximum height of 44.6 feet in 1.6 seconds. D. The ball reaches a maximum height of 50 feet in 2.1 seconds.
Graph the equation.y2 - 8y + 8x + 56 = 0
A.
B.
C.
D.