Find the slope of the line containing the given pair of points. If a slope is undefined, state that fact.(4, -3) and (4, -4)
A. Undefined
B.
C. 0
D. -
Answer: A
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Consider the initial value problem. Find the approximations of y(0.2) and y(0.4) using Euler's method with a time step of Then using the exact solution given, compute the errors in the Euler approximations at
and
Round answers to five decimal places, do not use intermediate rounding.y'(t) =
, y(0) = 8; y(t) = 8et/8
A. ;
B. ;
C. ;
D. ;
Factor completely, or state that the polynomial is prime.9x2 - 16
A. (3x + 4)2 B. (3x - 4)2 C. prime D. (3x + 4)(3x - 4)
The following question refers to a country with five states. There are 250 seats in the legislature, and the populations of the states are given in the table below.
Using a divisor of D = 40,500, the modified quotas (to 3 decimal places) are
A. State A: 6.250; State B: 21.875; State C: 117.500; State D: 95.625; State E: 8.750. B. State A: 6.329; State B: 22.152; State C: 118.987; State D: 96.835; State E: 8.861. C. State A: 6.173; State B: 21.605; State C: 116.049; State D: 94.444; State E: 8.642. D. State A: 6.242; State B: 21.848; State C: 117.353; State D: 95.506; State E: 8.739. E. none of these
Solve the problem.How many ways are there to choose a soccer team consisting of 3 forwards, 4 midfield players, and 3 defensive players, if the players are chosen from 6 forwards, 6 midfield players, and 9 defensive players?
A. 21,772,800 B. 25,200 C. 119 D. 352,716