### Absolute minimum

What is the absolute minimum for f(x) = x^4 - 4x3 - 5?

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What is the absolute minimum for f(x) = x^4 - 4x3 - 5?

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Find the volume of the solid bounded by x = 0, y = 0, z = 0 and x + 2y + 3z = 6 by triple integration. keywords: integration, integrates, integrals, integrating, double, triple, multiple

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∫ sin θ/√(R^2 + z^2 - 2Rz cos θ) dθ See attached file for full problem description. keywords: integrals, integration, integrate, integrated, integrating, double, triple, multiple

√2h ∫ r/(√(h^2 + r^2 - √ hr) 0 Please see the attached file for the fully formatted problems. keywords: integration, integrates, integrals, integrating, double, triple, multiple

Let f : [0,∞)-->R be continuously differentiable with compact support in [0,∞); and 0<a<b<∞. Prove that: ∞ ∫ [f(bx)-f(ax)]/x dx = -f(0) ln (b/a) 0

For the following problem, sketch the region and then find the volume of the solid where the base is the given region and which has the property that each cross section perpendicular to the x-axis is a semicircle. 1) the region bounded above by y=cosx, below by y=sinx and on the left by the y-axis For the following probl

Evaluate the integral of several trigonometric functions.

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16 (2x + 1)^7 dx

Find the mean value of the function: f(x) = 1 + cos (x) in the range -pi/2 <= x <= pi/2 keywords: integration, integrates, integrals, integrating, double, triple, multiple

Determine where the function f(x) = x + [|x^2|] - [|x|] is continuous I don't understand how to work this problem. Can someone show and explain how to solve this problem in detail? I've asked for help on this problem before but I still don't understand it. The function is continuous everywhere but 0. I don't understan

Shell Method to Evaluate the Integral. See attached file for full problem description.

Please see the attached file for the fully formatted problems. keywords: integration, integrates, integrals, integrating, double, triple, multiple

See attached file for full problem description. Only circled questions to be done. 1. Integration 0 to pi/2 cos^2x dx 2. Integrate Sec^2(2c-1)dx 3. Integrate tan^2x dx

Prove or disprove that the existence of an integral domain of order 4 that is not a field.

Do the following: (1) Evaluate Int(P(x, y) dx + Q(x, y) dy) over the curve C, where P(x, y) = y^2, Q(x, y) = 3x, and C is the portion of the graph of the function y = 3x^2 from (-1, 3) to (2, 12). Here, "Int" stands for integral. (2) Use the Divergence Theorem to evaluate the surface integral Int(F*n ds) over the surface S

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