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Fermats theorem, Fermat's Theorem  If f(x) has a relative extrema at x...

Fermat's Theorem  If f(x) has a relative extrema at x = c and f′(c) exists then x = c is a critical point of f(x). Actually, this will be a critical point that f′(c) =0.

Example of factoring quadratic polynomials, Factor following polynomials. ...

Factor following polynomials.                               x 2 + 2x -15 Solution x 2 +2x -15 Okay since the first term is x 2 we know that the factoring has to ta

Melissa is four times if jim is y years old, Melissa is four times as old a...

Melissa is four times as old as Jim. Pat is 5 years older than Melissa. If Jim is y years old, how old is Pat? Start along with Jim's age, y, because he appears to be the young

Substitute 6 for r in the formula a = r^2 and solve for a, Find the area of...

Find the area of a circle along with a radius of 6 inches. The formula for the area of a circle is A = πr 2 . Use 3.14 for π. Substitute  6 for r in the formula A = πr 2 and solve

Directional derivatives, What are directional derivatives? Explain with two...

What are directional derivatives? Explain with two or more examples..

What are whole numbers, Q. What are Whole numbers? The set of whole num...

Q. What are Whole numbers? The set of whole numbers is the set of natural numbers with the zero thrown in: 0,1,2,3,4,... Hint: Some people remember that the whole numbers

Derivative with polar coordinates - parametric equations, Derivative with P...

Derivative with Polar Coordinates dy/dx = (dr/dθ (sin θ) + r cos θ) / (dr/dθ (cosθ) - r sinθ) Note: Rather than trying to keep in mind this formula it would possibly be easi

Find lim sup, 1.find lim sup Ek and liminf Ek of Ek=[(-(1/k),1] for k odd a...

1.find lim sup Ek and liminf Ek of Ek=[(-(1/k),1] for k odd and liminf Ek=[(-1,(1/k)] for k even.  2.Show that the set E = {x in R^2 : x1, x2 in Q} is dense in R^2.  3.let r>0 an

Example of linear in - equation - linear algebra, Explain some Examples of ...

Explain some Examples of linear in - Equation, with solution.

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