Solve the equation.
+ x = 5
A. ?
B. {2, 12}
C. {12}
D. {2}
Answer: D
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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?
Find the center, foci, and vertices of the ellipse.
+ 
= 1
A. center at (0, 0)
foci at (0, 6) and (5, 0)
vertices at (0, 36), (25, 0)
B. center at (0, 0)
foci at (0, - 
) and (0, 
)
vertices at (0, -6), (0, 6)
C. center at (0, 0)
foci at (- 
, 0) and (
, 0)
vertices at (-6, 0), (6, 0)
D. center at (0, 0)
foci at (0, -6) and (0, 6)
vertices at (0, -36), (0, 36)
Solve the problem.A football team gained 20 yards on one play, lost 36 yards on another, and gained 29 yards on the last play of the first half. They had already gained 348 yards during the half. What was the total yardage gain for the first half?
A. 397 yards B. 433 yards C. 335 yards D. 361 yards
Sketch the graph of the given equation over the interval [-2?, 2?].y = 
sin 
x 
A. 
B. 
C. 
D. 