Identify the conic (10 second time limit):
-4x2+2y2+6x-8y+12=0
Hyperbola
100
Given x=t2-5 and y=5-3t ........ Solve for the t value when the point is at (11, 17).
t=-4
100
Find the 30th term of the sequence: 4,10,16,...
178
200
Evaluate cos(5pi/12)
(sqrt(6)-sqrt(2))/4
200
Solve for x over [0,2pi)....... cot(x)-2=-1
x=pi/4, 5pi/4
200
Find the ordered pair of the foci of the following conic:
(x-3)2/9 + (y+1)2/25 = 1
(3,3) and (3,-5)
200
Write an equation in rectangular form: x=(t/2)+4 y=t3, t: (-inf,inf)
y=(2x+8)3
200
Find the sum: 2 + 5 + 8 + ... + 53
495
300
Given cos(a)=-5/13, and sin(a)>0.....what is sin(2a)?
-120/169
300
Solve for x over [0,2pi)......2*sin(2x)=-sqrt(3)
x=2pi/3, 5pi/3, 5pi/6, 11pi/6
300
Write equation of conic with Vertex: (-3,-2) and Directrix: x=0
(y+2)2=-12(x+3)
300
Write an equation in rectangular form: x=3cos(t) y=4sin(t), t: [0,2pi)
x2/9 + y2/16=1
300
What is the infinite sum of: 5 + 5/3 + 5/9 + 5/27 + ...
15/2 = 7.5
400
Evaluate: sin(cos-1(5/13) - sec-1(5/4))
33/65
400
Solve for x over [0,2pi): sin(2x)=-sin(x)
x=0, pi, 2pi/3, 4pi/3
400
Write the equation of the conic with Foci: (2,7) and (-2,7) and the length of the major axis is 6.
x2/9 + (y-7)2/5 = 1
400
Mrs. Navickas throws a ball at 50 ft/sec at an angle of 25 degrees above horizontal from an initial height of 5 feet. How long until the ball hits the ground? (Round to 2 decimals)
(x=v*cos(a)*t , y=-16t2+v*sin(a)*t+h)
t=1.53 seconds
400
Find the sum of the first 8 terms of 1/4 +1/2 + 1 + 2 + ...
255/4 = 63.75
500
Evaluate: sec(2tan-1(4/3))
-25/7
500
Solve for x over [0,2pi): 2cos2(x)+cos(x)-1=0
x=pi/3, 5pi/3, pi
500
Complete the square to write the equation of the conic in standard form: 2x2+4y2+4x-12y=5
(x+1)2/8 + (y-3/2)2/4 = 1
500
Mrs. Navickas throws a ball at 50 ft/sec at an angle of 25 degrees above horizontal from an initial height of 5 feet. How far has the ball gone when it hits the ground? (Round to 2 decimals)
(x=v*cos(a)*t , y=-16t2+v*sin(a)*t+h)