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We have seen that if y is a function of x, then for each given value of x, we can determine uniquely the value of y as per the functional relationship. For some f
27-125 a power -135a +225a power2
1. Suppose n ≡ 7 (mod 8). Show that n ≠ x 2 + y 2 + z 2 for any x, y, z ε Z. 2. Prove ∀n ε Z, that n is divisible by 9 if and only if the sum of its digits is divisible by 9.
Can you show that a slope will vary along a curve (as opposed to a straight line)?
Describe differance between Mean vs. Mode ? Every set of numbers or data has a mean and a mode value. The mean is the average value of all the numbers in the set. The mode is t
Theorem, from Definition of Derivative If f(x) is differentiable at x = a then f(x) is continuous at x =a. Proof : Since f(x) is differentiable at x = a we know, f'(a
What is Sets and set theory?
100 plus 2
The next thing that we must acknowledge is that all of the properties for exponents . This includes the more general rational exponent that we haven't looked at yet. Now the pr
briefly explain how the famous equation for the loss of heat in a cylindrical pipe is derived
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