Calculus Practice Questions - Page 373

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• determine the amplitude and period of the function. graph the function. y = - 8 cos 1/2x the amplitu...

• which of the following is equivalent to ∫₁ᵉ⁶ 1 / (x(2 + ln x)) dx?\na ∫₂⁸ 1 / u du\nb ∫₁ᵉ⁶ 1 / u du\...

• which of the following is equivalent to ∫cos(4x)sin⁵(4x)dx? a 1/4 ∫cos udu·1/4 ∫sin⁵udu, where u = 4...

• which of the following is equivalent to ∫(2x³ + 1)²dx? a ∫(4x⁶ + 4x³ + 1)dx b ∫(2x³ + 1)dx·∫(2x³ + 1...

• ∫₀¹ (2x³ - x² + 2x + 2)/(x² + 1) dx = \na 3π/4\nb 3π/4\nc 19/8\nd 19π/24

• 11. which of the following series diverge? i. ∑_{k = 1}^{∞} (6k + 1)/(12k - 1) ii. ∑_{k = 0}^{∞} 20/...

• ∫₀¹ (2x³ - x² + 2x + 2)/(x² + 1) dx = \na 3 ln 2\nb 3π/4\nc 19/8\nd 19π/24

• let f be a differentiable function such that f(1) = π/2 and f(x) = 3 arctan(x² - 3x + 2). what is th...

• selected values of the twice - differentiable function g are given in the table above. what is the v...

• the graph of the function g on the closed interval 0, 10 consists of four line segments, as shown ab...

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