Questions from General Calculus


Q: Explain, using Theorems 4, 5, 7, and 9

Explain, using Theorems 4, 5, 7, and 9, why the function is continuous at every number in its domain. State the domain. R(t) = e sin t/ 2 + cos π t

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Q: Explain, using Theorems 4, 5, 7, and 9

Explain, using Theorems 4, 5, 7, and 9, why the function is continuous at every number in its domain. State the domain. A(t) = arcsin (1 +2t)

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Q: Guess the value of the limit (if it exists) by

Guess the value of the limit (if it exists) by evaluating the function at the given numbers (correct to six decimal places). x = -2.5, -2.9, -2.95, -2.99, -2.999, -2.9999, -3.5, -3.1, -3.05, -3.01,...

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Q: Explain, using Theorems 4, 5, 7, and 9

Explain, using Theorems 4, 5, 7, and 9, why the function is continuous at every number in its domain. State the domain. B(x) = tan x/ 4 − x2

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Q: Explain, using Theorems 4, 5, 7, and 9

Explain, using Theorems 4, 5, 7, and 9, why the function is continuous at every number in its domain. State the domain. M(x) = 1 + 1/x

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Q: Explain, using Theorems 4, 5, 7, and 9

Explain, using Theorems 4, 5, 7, and 9, why the function is continuous at every number in its domain. State the domain.

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Q: Locate the discontinuities of the function and illustrate by graphing.

Locate the discontinuities of the function and illustrate by graphing. y = 1 / 1 + e1/x

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Q: Locate the discontinuities of the function and illustrate by graphing.

Locate the discontinuities of the function and illustrate by graphing. y = ln(tan2x)

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Q: Use continuity to evaluate the limit. /

Use continuity to evaluate the limit.

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Q: Use continuity to evaluate the limit. /

Use continuity to evaluate the limit.

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