Solve the problem.A projectile is fired from a height of 8.4 feet with an initial velocity of 174 ft/sec at an angle of 53° with the horizontal. The parametric equations for the path of the projectile are x = (174 cos 53°)t, and y = 8.4 + (174 sin 53°)t - 16t2,where x and y are in feet and t is in seconds. Determine the maximum height reached by the projectile. Round your answer to the nearest tenth of a foot.
A. 310.1 ft
B. 318.5 ft
C. 611.9 ft
D. 301.7 ft
Answer: A
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Provide an appropriate response.Show that if a particle's velocity vector is always orthogonal to its acceleration vector then the particle's speed is constant.
What will be an ideal response?
Find an equation of an ellipse satisfying the given conditions.Vertices: (0, ±10); Length of minor axis: 6
A. 
+ 
= 10
B. 
+ 
= 1
C. 
+ 
= 1
D. 
+ 
= 1
Write an equation relating the variables in the situation described.The sum S of three integers when the largest number is five times the smallest m and two more than the middle one.
A. S = 11m - 2 B. S = 11m + 2 C. S = 11m D. S = 10m - 2
Solve the problem.The table shows the number of new cases (in thousands) of a certain disease diagnosed in a country in various years. 
Let n = f(t) be the number of new cases (in thousands) of the disease diagnosed at t years since 2010. Suppose that you wish to model f using a quadratic equation. What is the vertex of the model? What does it mean in this situation?
A. (7, 45.7); the largest number of new cases diagnosed was 45,700 in the year 2017 B. (0, 49.4); the largest number of new cases diagnosed was 49,400 in the year 2010 C. (3, 39.3); the smallest number of new cases diagnosed was 39,300 in the year 2013 D. (0, 39.3); the smallest number of new cases diagnosed was 39,300 in the year 2013