Solve the problem.For what values of m does the function y = aemx satisfy the equation y" - y' - 42y = 0?

A. m = 1, 42
B. m = -6, -7
C. m = -6, 7
D. m = 6, 7


Answer: C

Mathematics

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Solve the initial value problem.Differential Equation:  = i + (5t3 - 2t)j + kInitial Condition: r(0) = 2j + (ln 9)k

A. r(t) = ti + j + (ln 9)k
B. r(t) = ti + j + (ln t)k
C. r(t) = i + j + (ln 9)k
D. r(t) = ti + j + ln(t + 9)k

Mathematics

Provide an appropriate response.Evaluate 5 × 122 -  following the order of operations using a calculator.

A. 75 B. 715 C. 1 D. 115

Mathematics

Find an equation of the line described. With slope 0, through 

A. y = 2
B. - x + y = 2
C. x = - 
D. - x + 2y = 0

Mathematics

Mark as true any statement that is always true. Mark as false any statement that is never true or that is not necessarily true. Be able to justify your answers.

1. If a problem asks you to make a prediction or generalization, the “Look for a Pattern” strategy may be appropriate. 2. If a problem asks “in how many ways” the “Look for a Pattern” strategy may be appropriate. 3. The fourth term in the sequence 3, 5, 7, . . . must be 9. 4. If a large cube is made up of 64 smaller cubes, then it has 16 cubes showing on each face of the larger cube. 5. Patterns in data may be easier to see if we arrange the data in tables.

Mathematics