The following question(s) refer to a fractal defined by the recursive procedure :
How many line segments appear in step 4 of the construction?
A. 5 × 4
B. 5
C. 45
D. 54
E. none of these
Answer: D
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Solve the problem.Imagine a large tank with cross-sectional area A. The bottom of the tank has a circular drain with cross-sectional area a. Assume the tank is initially filled with water to a height h(0) = H. The height of the water as it flows out of the tank is described by the equation where
and
is the acceleration due to
gravity. Find the water height function for
Then determine the approximate time at which the tank is first empty. If necessary, round to two decimal places.
A. h(t) = (1.2 - 0.2t)2; 1.36
B. h(t) = (1.2 - 0.1t)2; 2.71
C. h(t) = (1.2 - 0.1t)2; 3.83
D. h(t) = (1.2 - 0.2t)2; 1.92
Determine if the statement is a proportion.I.
II.
A. I is a proportion, II is not a proportion. B. I is not a proportion, II is a proportion. C. I and II are both proportions. D. Neither I nor II are proportions.
Use the intermediate value theorem for polynomials to show that the polynomial function has a real zero between the numbers given.f(x) = 10x5 + 3x3 - 3x2 + 6; -1 and 0
A. f(-1) = -9 and f(0) = 7 B. f(-1) = -10 and f(0) = 6 C. f(-1) = 10 and f(0) = 6 D. f(-1) = 10 and f(0) = -6
Find the reference angle of the given angle.-
A.
B.
C.
D.