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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].

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

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

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.