Evaluate.Given that loga5 = 1.609, and loga2 = 0.693, find loga
.
A. -0.916
B. -2.303
C. 0.896
D. -0.896
Answer: B
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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 vertices of the ellipse.36(x + 3)2 + 25(y - 1)2 = 900
A. (3, 7), (3, -5)
B. (-3, 1 - 
), (-3, 1 + 
)
C. (-2, 7), (-2, -5)
D. (-3, 7), (-3, -5)
Provide an appropriate response.Add 
+ 
and reduce answers to lowest terms with improper fractions changed to whole or mixed numbers.
A. 
B. 
C. 
D. 
Solve the absolute value equation.
= 4
A. {9} B. {±3} C. {±1, ±3} D. {1, 9}