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Objectives
After studying this unit, you should be able to
The Addition Rule: Mutually Exclusive Events P(A or B or C) = P(A) + P(B) + P(C) This can be represented by the Venn diagram as follows:
There are 6 contestants for the post of chairman secretary and treasurer. These positions can be filled by any of the 6. Find the possible no. of ways whether the 3 positions may b
Sketch the graph of h (t ) = 1 - 5e 1/(t/2) Solution : Let's primary get a table of values for this function. Following is the sketch. The major point behin
If the sides angles of a triangle ABC vary in such a way that it''s circum - radius remain constant. Prove that, da/cos A +db/cos B+dc/cos C=0
Example of quotient rule : Let's now see example on quotient rule. In this, unlike the product rule examples, some of these functions will require the quotient rule to get the de
without a calculator give the exact value of each of the following logarithms. (a) (b) log1000 (c) log 16 16 (d) log 23 1 (e) Solution (b) log10
Fundamental Theorem of Calculus, Part I If f(x) is continuous on [a,b] so, g(x) = a ∫ x f(t) dt is continuous on [a,b] and this is differentiable on (a, b) and as,
How much greater is 0.0543 than 0.002? To ?nd out how much greater a number is, you required to subtract; 0.0543 - 0.002 = 0.0523. For subtract decimals and line the numbers up
Example of Trig Substitutions Evaluate the subsequent integral. ∫ √((25x 2 - 4) / x) (dx) Solution In this type of case the substitution u = 25x 2 - 4 will not wo
The dimensions of a rectangular prism can be expressed as x + 1, x - 2, and x + 4. In terms of x, what is the volume of the prism? Since the formula for the volume of a rectang
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