Solve the problem.For a motorcycle traveling at speed v (in mph) when the brakes are applied, the distance d (in feet) required to stop the motorcycle may be approximated by the formula d = 0.05 v2 + v. Find the instantaneous rate of change of distance with respect to velocity when the speed is 49 mph.
A. 5.9 mph
B. 11.8 mph
C. 4.9 mph
D. 50 mph
Answer: A
Mathematics
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Find the particular solution to the given differential equation that satisfies the given conditions.y'' - 6y'+ 25y = 0, y = 4 at x = 0 and y = 5e3?/8 at x = ?/8
A. y = e3x(4 sin 4x + 5 cos 4x) B. y = 4e3x + 5e4x C. y = e4x(5 sin 3x + 4 cos 3x) D. y = e3x(5 sin 4x + 4 cos 4x)
Mathematics
Use the substitution-of-variable technique to solve the system analytically.
+ 
= 
- 
= - 
A. {(-4, -1)}
B. {(4, 1)}
C. {(1, 4)}
D. 
Mathematics
Solve the problem.If y varies directly as x, and y = 700 when x = 150, find y when x = 60.
A. 280
B. 1750
C. 
D. 
Mathematics
Solve for y in terms of x.
What will be an ideal response?
Mathematics