Questions from General Calculus


Q: Find all functions f (t) that satisfy the given condition

Find all functions f (t) that satisfy the given condition. f ‘(t) = 0

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Q: Find all antiderivatives of each following function: f (x

Find all antiderivatives of each following function: f (x) = e-3x

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Q: Find all functions f (t) that satisfy the given condition

Find all functions f (t) that satisfy the given condition. f ‘(t) = t2 - 5t - 7

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Q: Find all functions f (x) that satisfy the given conditions

Find all functions f (x) that satisfy the given conditions. f ‘(x) = .5e-0.2x, f (0) = 0

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Q: Find all functions f (x) that satisfy the given conditions

Find all functions f (x) that satisfy the given conditions. f ‘(x) = 2x - e-x, f (0) = 1

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Q: Find all functions f (x) that satisfy the given conditions

Find all functions f (x) that satisfy the given conditions. f ‘(x) = x, f (0) = 3

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Q: Find all functions f (x) that satisfy the given conditions

Find all functions f (x) that satisfy the given conditions. f ‘(x) = 8x1/3, f (1) = 4

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Q: Find all functions f (x) that satisfy the given conditions

Find all functions f (x) that satisfy the given conditions. f ‘(x) = √x + 1, f (4) = 0

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Q: Find all functions f (x) that satisfy the given conditions

Find all functions f (x) that satisfy the given conditions. f ‘(x) = x2 + √x, f (1) = 3

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Q: Figure 4 shows the graphs of several functions f (x)

Figure 4 shows the graphs of several functions f (x) for which f (x) = 2/x. Find the expression for the function f ‘(x) whose graph passes through (1, 2). Figure 4:

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