x? = x(0.05 ? 0.002x ? 0.0015y) , y? = y (0.03? 0.0025x ? 0.0003y) , x (0) =1, y (0) = 5
For the systems of differential equations, use Euler’s method with ?x = 2 to plot the trajectory of x and y to plot the trajectory for 0 ? t ? 500
x (500) ?1.4503 , y (500) ? 99.940
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Write a chain rule formula for the following derivative.
for w = f(x, y, z); x = g(s, t), y = h(s, t), z = k(s)
A. 
= 
+ 
B. 
= 
C. 
= 
+ 
D. 
= 
+ 
Find the mean for the sequence of numbers.7, 8, 9, . . . , 48
A. 9 B. 18 C. 27.5 D. 13.75
Simplify the expression.
A. 
B. 256
C. 4
D. not a real number
For the parametric equations given, use a graphing calculator to generate the curve over the stated interval for the parameter t. Use the window specified. Also, find a rectangular equation for the curve.x = 
, y = 4t + 3, for t in [0, 4]
A. 
The rectangular equation for the curve is
y = 3x2 + 4, for x in [-1, 2].
B. 
The rectangular equation for the curve is
y = -3x + 19, for x in [0, 2].
C. 
The rectangular equation for the curve is
y = -3x2 + 19, for x in [0, 2].
D. 
The rectangular equation for the curve is
y = 4x2 + 3, for x in [0, 2].