Seven Calculus Problems

Please see the attached file for the fully formatted problems. 1. Use an iterated integral to find the area of a region... 2. Evaluate the double integral... 3. Use double integral to find the volume of a solid... 4. Verify moments of inertia... 5. Limit of double integral... 6. Surface area... 7. Triple integral...

Double Integrals

Please see the attached file for the fully formatted problem. Use the indicated change of variables to evaluate the double integral: SR S 60xy dA x = 1/2(u + v) y = -1/2(u - v)

How does one find the x-intercepts of a polynomial?

I'm terrible at finding x-intercepts..... how do I find the x-intercepts of f(x) = x^3 -6x^2 +12x -6 ? Any advice on finding x-intercepts would be great (except Newton's method).

Iterated Integral : Area

Use an iterated integral to find the area of the region: y = 1 /sq root (x - 1)

Finding the higher order derivatives of the function: f(x)=(2^2^x)+1. It represents a Fermat Number when x=1,2,3,...

To find the higher derivatives of the function f(x)=(2^2^x)+1 Differential Calculus Fermat Numbers Higher Order Derivatives of f(x) = [2^(2^x)] + 1 The function f(x) = [2^(2^x)] + 1 represents Fermat ...continues

Integration

Please see the attached file for the fully formatted problem. Integrate:

Integration

Integrate the following: y = (x - x^2)/(x^(1/6))

Differentiation: s = ut + 1/2at^2

This equation represents displacement of a body(s) against time (t) where (u) is the initial velocity and (a) is the acceleration. Differentiate to derive the equation for instantaneous velocity, which would be represented by the gradient of a graph. s = ut + 1/2at^2

What is calculus and how does it work?

What is calculus and how does it work? Are there different types of calculus and how do they differ?

Differentiation

See attached file for full problem description.