Decide whether the expression is or is not an identity.csc2 
= csc2 x + cot x csc x
A. Not an identity
B. Identity
Answer: A
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Solve the differential equation.x
= 
- 6y, x > 0
A. y = x-6(cos x + c), x > 0 B. y = x6(sin x + c), x > 0 C. y = x6(cos x + c), x > 0 D. y = x-6(sin x + c), x > 0
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) = -3y, y(0) = 1; ?t = 0.2, T = 1; y(t) = e-3t
A. y(1) ? 0.01024; 0.20000 B. y(1) ? 0.01024; 0.04979 C. y(1) ? 0.02560; 0.02419 D. y(1) ? 0.01024; 0.03955
List the elements in the sample space of the experiment.A box contains 3 blue cards numbered 1 through 3, and 4 green cards numbered 1 through 4. List the sample space of picking a blue card followed by a green card.
A. {7} B. {(1, 1), (1, 2), (1, 3), (1, 4), (2, 1), (2, 2), (2, 3), (2, 4), (3, 1), (3, 2), (3, 3), (3, 4)} C. {12} D. {(1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (2, 3), (3, 1), (3, 2), (3, 3), (4, 1), (4, 2), (4, 3)}
Determine whether the statement is true or false.If a function f has an inverse and f(1) = -3, then f-1(-3) = 1.
A. True B. False