Use the boundedness theorem to determine whether the polynomial function satisfies the given condition.The polynomial f(x) = x5 + 10x4 - 25x3 - 10x2 + 24x has no real zero greater than 3.
A. Yes, the boundedness theorem shows that the polynomial has no real zero greater than 3.
B. No, the boundedness theorem does not show that the polynomial has no real zero greater than 3.
Answer: A
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Provide an appropriate response.Derive the equations x = x0 + 
(1 - e-kt)cos ?, y = y0 + 
(1 - e-kt)sin ? + 
(1 - kt - e-kt)by solving the following initial value problem for a vector r in the plane. Differential equation: 
= -gj - kv = -gj - k
Initial
conditions: r(0) = x0i + y0j 
(0) = v0 = (v0cos ?)i + (v0sin ?)jThe drag coefficient k is a positive constant representing resistance due to air density, v0 and ? are the projectile's initial speed and launch angle, and g is the acceleration of gravity.
What will be an ideal response?
Solve the problem.A recipe calls for 6 ounces of unsweetened chocolate for 18 brownies. How much of unsweetened chocolate is needed to make 24 brownies?
A. 
oz
B. 
oz
C. 144 oz
D. 8 oz
Find all solutions of the equation in the interval [0, 2?).cot2 = 3
A. 
B. 
C. 
D. 
Solve the problem.The total number of cars sold at a used car lot for the years 1996 and 1997 was 616. The number of cars sold in 1997 was 3 times the number of cars sold in 1996. How many cars were sold in 1997?
A. 153 B. 462 C. 466 D. 162