For the initial value problem, compute the first two approximations u1 and u2 given by Euler's method using the given time step.y'(t) = 3 - y, y(0) = 6; ?t = 0.1
A. u1 = 5.7; u2 = 5.43
B. u1 = 6.9; u2 = 5.43
C. u1 = 5.7; u2 = 6.51
D. u1 = 6.9; u2 = 6.51
Answer: A
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Solve the problem.Racing cyclists use the algebraic expression 
to determine the maximum speed, in miles per hour, to turn a corner of radius x, in feet, without tipping over. Find the maximum speed at which a cyclist should travel around a corner of radius 11 feet without tipping over. Write the answer in simplified radical form.
A. 12 + 
miles per hour
B. 
miles per hour
C. 12
miles per hour
D. 4
miles per hour
Find an for the given geometric sequence.a1 = 8, r = 
A. an = 
(8)n
B. an = 8
n-1
C. an = 8
n
D. an = 
(8)n-1
Walking north or south on the earth is defined as walking along the meridians, and walking east or west is defined as walking along parallels. There are points on the surface of the earth from which it is possible to walk a mile south, then a mile east, then a mile north, and be right back where you started. Find one such point.Answer The North Pole, The South Pole, or A point on the Equator.
What will be an ideal response?
Use a graphing calculator and the method of matrix inverses to solve the system. Give five decimal places, if necessary.3.2x + ?y = 
x - 7.84y = 4
A. {(0.98584, -0.29241)} B. {(0.25269, 0.45438)} C. {(1.25432, -0.73113)} D. {(0, 1)}