Solve.Two radio transmitters are located 350 miles apart on a shore and send simultaneous signals to a ship that is 200 miles offshore. The signal from transmitter T arrives at the ship 200 microseconds after the signal from transmitter S. The signals travel at the speed of 0.186 miles per microsecond. Find the equation of the hyperbola with foci S and T on which the ship is located. Let the center point between the transmitters correspond to the point (0, 0) and let the x-axis be oriented such that it contains the two transmitters. (Hint: For any point along the hyperbola, the absolute value of the difference of its distances from the foci is 2a.)
A. 
- 
= 1
B. 
- 
= 1
C. 
- 
= 1
D. 
- 
= 1
Answer: A
Mathematics
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Solve the initial value problem.Differential Equation: 
= -3ti + 3tj + 5tkInitial Condition: r(0) = -4i + 6k
A. r(t) = (-3t2 - 8)i + 3t2j + (5t2 + 12)k
B. r(t) = 
i + 
t2j + 
k
C. r(t) = 
i + 
t2j - 
k
D. r(t) = 
i + 
t2j + 
k
Mathematics
Determine the quadrant containing the terminal side of ? under the given conditions.tan ? < 0 and sin ? < 0
A. Quadrant I B. Quadrant III C. Quadrant IV D. Quadrant II
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Solve the problem.One acre is about 0.4 hectare. Use this information to determine the equivalent of 39.6 acres in hectares.
A. 6.336 ha B. 99 ha C. 15.84 ha D. 40 ha
Mathematics
Determine whether the equation is an identity. If it is an identity, prove it.
+ 
= 2 csc x
What will be an ideal response?
Mathematics