Use a calculator or computer program to approximate the value of y(T) using Euler's method with the given time step on the interval [0, T]. Then, using the exact solution given, find the error in the approximation to y(T) (only at the right endpoint of the time interval). Round answers to five decimal places, do not use intermediate rounding.y'(t) = -4y, y(0) = 1; ?t = 0.2, T = 1; y(t) = e-4t
A. y(1) ? 0.00032; 0.20000
B. y(1) ? 0.00032; 0.01832
C. y(1) ? 0.00160; 0.01672
D. y(1) ? 0.00032; 0.01800
Answer: D
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Use absolute value notation to describe the situation. t is more than five units from -8.
A. |t? + 8|> 5 B. |t? + 8| ? 5 C. |t? + 8| < 5 D. |t? - 8| > 5 E. |t? - 8| ? 5
Use the distributive property to simplify this expression.5(t + 5)
A. 5t - 5 B. 5t - 25 C. 5t + 25 D. 5t + 5
Solve the problem.The consumption of electricity can be modeled by C = Aert, where A is the current use, r is the rate at which the use is increasing, and t is the number of years. Suppose the consumption of electricity grows at 6.8% per year. Find the number of years before the use of electricity has tripled. Round the answer to the nearest hundredth.
A. 0.16 year B. 1.62 years C. 16.16 years D. 44.12 years
Find the equation of the line passing through the indicated two points. Write the equation in slope-intercept form.
and 
A. y = 
x + 
B. y = 
x + 
C. y = 6x - 
D. y = 6x - 