y?? ? 6y? + 25y = 0, y (0) = 4, y?(0) =1

Solve the initial-value problem.


Mathematics

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Write the phrase as a mathematical expression. Use x as the variable.3 times a number, added to -6, plus 5 times the sum of 4 times the number and 9

A. 3(-6 + x) + 5(4x + 9) B. 3x - 6 + 5(4 + 9x) C. 3x + (-6) + 5(4x + 9) D. 3(-6 + x) + 5(4 + 9x)

Mathematics

Solve the problem.A deep sea diving bell is being lowered at a constant rate. After 12 minutes, the bell is at a depth of 300 ft. After 50 minutes the bell is at a depth of 1500 ft. What is the average rate of change of depth? Round to one decimal place.

A. 0.03 ft per minute B. 31.6 ft per minute C. 30.0 ft per minute D. 24.0 ft per minute

Mathematics

The strain (percent of compression) on the lumbar vertebral disks in an adult human as a function of the load x (in kilograms) is given by .

?  Give the answer to four decimal places. ?  What is the rate of change of the strain with respect to the load when the load is 100 kg? ?  __________  ?  What is the rate of change of the strain with respect to the load when the load is 350 kg? ?  __________  What will be an ideal response?

Mathematics

Verify the identity.tan  = -cot x

What will be an ideal response?

Mathematics