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Proof of the derivative of a constant, Proof of the Derivative of a Constan...

Proof of the Derivative of a Constant : d(c)/dx = 0 It is very easy to prove by using the definition of the derivative therefore define, f(x) = c and the utilize the definiti

Solve 3 + 2 ln ( x /7+3 ) = -4 logarithm, Solve 3 + 2 ln ( x /7+3 ) = -4 . ...

Solve 3 + 2 ln ( x /7+3 ) = -4 . Solution This initial step in this problem is to get the logarithm by itself on one side of the equation  along with a coefficient of 1.

Invariant lines under transformation, What lines are invariant under the tr...

What lines are invariant under the transformation [(103)(01-4)(001)]? I do not know where to even begin to solve this. Please help!!

Find the polynomial zeros , If two zeros of the polynomial f(x) = x 4 - 6x...

If two zeros of the polynomial f(x) = x 4 - 6x 3 - 26x 2 + 138x - 35 are 2 ± √3.Find the other zeros.     (Ans:7, -5) Ans : Let the two zeros are 2 +√3 and 2 - √3 Sum of

Find the number of ways to arrange words, Q. Find the number of ways three ...

Q. Find the number of ways three letter "words" can be chosen from the alphabet if none of the letters can be repeated? Solution:  There are 26 ways of choosing the first lett

Subspace of r containing n, Give an example of each of the following given ...

Give an example of each of the following given below . You do not require to give any justi cation. (a) A nonempty, bounded subset of Q with no in mum in Q. (b) A subspace of

Outer automorphism, (a) An unordered pair fm; ng with 1 ≤ m ≠ n ≤ 6 is ca...

(a) An unordered pair fm; ng with 1 ≤ m ≠ n ≤ 6 is called a duad. List the 15 duads. (b) There are 15 ways to partition {1, ......, 6 } into 3 duads, such as { {1; 2}, {3, 4},

Differential equations, Find the normalized differential equation which has...

Find the normalized differential equation which has {x, xex} as its fundamental set

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