multilcation, Mathematics

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Functions, Question Solve the following functions for x (where x is a r...

Question Solve the following functions for x (where x is a real number). Leave your answers in exact form, that is, do not use a calculator, show all working. (a) 3 x 3 x2 3

Prove that seca+tana=2x, If secA= x+1/4x, prove that secA+tanA=2x or  1/2x....

If secA= x+1/4x, prove that secA+tanA=2x or  1/2x. Ans:    Sec? = x +  1/4x ⇒ Sec 2 ? =( x + 1/4x) 2                             (Sec 2 ?= 1 + Tan 2 ?) Tan 2 ? = ( x +

Quadaric equation, two numbers differ by 7 and have a product of 120.what a...

two numbers differ by 7 and have a product of 120.what are they ?

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Find the values of x and y

Periodicity, how to find periods in trigon ometry

how to find periods in trigon ometry

Explain that odd positive integer to be a perfect square, Show that for odd...

Show that for odd positive integer to be a perfect square, it should be of the form 8k +1. Let a=2m+1 Ans: Squaring both sides we get a2 = 4m (m +1) + 1 ∴ product of two

How many permutations of the letters a b c d e f g h, How many permutations...

How many permutations of the letters A B C D E F G H consist of string DEF?    Ans: It is the dilemma of finding number of words that can be formed along with the given 8 lette

By the method of completion of squares solve equation, By the method of com...

By the method of completion of squares show that the equation 4x 2 +3x +5 = 0 has no real roots. Ans:    4 x 2 +3 x +5=0 ⇒  x 2 + 3/4 x + 5 = 0 ⇒   x 2 + 3/4 x +

Give examples on multiplication rule in probability, Example: Suppose your...

Example: Suppose your football team has 10 returning athletes and 4 new members. How many ways can the coach choose one old player and one new one? Solution:  There are 10 wa

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