Evaluate the following Integrals

Riemann Sum. Right Hand, Left Hand and Midpoint Rule.

Optimization. What is the Maximum Vertical Distance between y=x+2 and y=x^2 for x in [-1, 2].

Curve Sketching. Inc. & Dec. Concave Up. Concave Down, Abs Max and Abs Min. The Extreme Value Th.

Optimization. Find two positive numbers whose Product is 100 and whose Sum is a Minimum.

The Mean Value Theorem.

A man 6-ft tall walks away from a streetlight mounted on a 15-ft tall pole at a rate of 5-ft/s.

Find the linearization of the function f(x) = SQR(x+5) at a = 4 and use it to approximate SQR (3.8).

Find the limit as x approaches " - infinity". L'Hospital's Rule " infinity * zero".

Find the limit as x Approaches 0 of (e^4x -1-4x)/x^2. L'Hospital's Rule_ Intermediate form (0/0).

Differentiate y=SQR ( 1+4 sin(x)). And find equations of the tangent line and the normal at (0, 1).

Implicit Differentiation. Find dy/ dx for 2x^3+x^2y-xy^3=2.

Differentiate y = x ^(SQR x)

Differentiate f(x) = x^2 ln(2x+1).

Differentiate y = ln ( cosh (3x)).

Differentiate y = 3^ (x ln x)

Differentiate the following y = e^(cosx) + cos(e^x)

Epsilon and delta Explained with an Example in Calculus.

The Quotient Rule Proof in Calculus.

Limit involving infinity

Limit sin 3x over x

Evaluate the Limit, or state that it does not exist.

Math 104 "Math Reasoning for Elementary Teachers". Final Review 20 Questions.

Evaluate the indefinite integral as an infinite series.

Find the Maclaurin Series of f(x), and find the associated Radius of Convergence.

Test the Series for Convergence or Divergence.

Find a power Series Representation for the Function. And Determine the Interval of Convergence.

Determine whether the series is Absolutely Convergent, Conditionally Convergent, or Divergent.

Test the Series for Convergence or Divergence.

Determine whether the Series is Convergent or Divergent.