Determine whether the given point (x,y) is on the unit circle.
A. No
B. Yes
Answer: B
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Solve the problem by writing an appropriate system of equations and using the inverse of the coefficient matrix to solve the system.The sum of three numbers is 5. The sum of the first and second numbers is 3, and the first number is one more than three times the third number. How many of the numbers are even numbers?
A. 2 B. 1 C. None D. 3
Solve the problem.Find the foci and asymptotes of the following hyperbola:4y2 - 25x2 = 100
A. Foci: (
, 0), (-
, 0); Asymptotes: y = 
x, y = - 
x
B. Foci: (
, 0), (-
, 0); Asymptotes: y = 
x, y = - 
x
C. Foci: (0, 
), (0, -
); Asymptotes: y = 
x, y = - 
x
D. Foci: (0, 
), (0, -
); Asymptotes: y = 
x, y = - 
x
Calculate the average rate of change of f on each interval. What happens to this average rate of change as the interval decreases in length?f(x) = x3
(i) [4.9, 5.1] (ii) [4.99, 5.01] (iii) [4.999, 5.001]
A. (i) 25.03; (ii) 25.0003; (iii) 25.000003; approaches 25. B. (i) 10; (ii) 10; (iii) 10; approaches 10. C. (i) 1.5002; (ii) 0.1500002; (iii) 0.015; approaches 2. D. (i) 75.01; (ii) 75.0001; (iii) 75.000001; approaches 75.
Write the standard form for a hyperbola centered at (h, k). Identify the center and the vertices.y2 - x2 - 14y + 10x - 1 = 0
A. C(5, 7); V(7 ± 5, 5); 
- 
= 1
B. C(-5, -7); V(-5, 7 ± 5); 
- 
= 1
C. C(5, 7); V(5, 7 ± 
); 
- 
= 1
D. C(5, 7); V(5, 7 ± 5); 
- 
= 1