Determine the interval of convergence of the power series.

A. (-?, ?)
B.
C. (-5, 5)
D. (-6, 4)


Answer: C

Mathematics

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Solve the initial value problem.Differential Equation:   = (-cos t)i + (4t3+ 8)jInitial Condition:  r(0) = 4j

A. r(t) = (sin t)i + (12t2 + 4)j B. r(t) = (-sin t)i + (t4+ 8t + 4)j C. r(t) = (-sin t)i + (t4 + 4)j D. r(t) = (-sin t)i + (t4)j

Mathematics

Write the passage in the form of an argument using the following simple statements:p: The "diamond" is a fake.q: Peter will be unhappy for weeks.The argument's conclusion should be:  The diamond must not have been a fake.Determine if the argument is valid or invalid.Peter bought a "diamond" from a street vendor. I was sure it was a fake and that it would make Peter miserable for weeks. But I saw him a few days later. He had got the "diamond" appraised and looked quite happy....... 

A. p ? q ~ q ---- ? ~ p The argument is valid. B. p ? q ~ q ---- ? ~ p The argument is invalid. C. p ? q ~ q ---- ? ~ p The argument is valid. D. p ? q ~ q ---- ? p The argument is invalid.

Mathematics

Sketch the angle in standard position.-    

A.

B.

Mathematics

Represent the quantity by a signed number.The price of a gallon of gas dropped 15¢ in one day.

A. +15 B. -15

Mathematics