How to factor by grouping

1 answer:

5 0

1.Problem 3. 5 x 2 + 18 x + 9. Show Factors By Grouping. Use the formula. Product of (a)(c) = (5)(9) = 45. ... 2)Problem 4. 2x² + 5x + 3. Factor it. Apply our formula. ... 3)Problem 5. 5x² + 13x + 6. Factor By Grouping. Remember our formula. ... 4)Problem 6. 7x² + 9x + 2. Factor By Grouping. You know the deal-- Use our formula for factoring by grouping. there are some EX's

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Answer:

Value of k is $\displaystyle\frac{3}{8}$

Step-by-step explanation:

We are given the following information in the question:

$f(x) = kx^2, 0\leq x \leq 2\\~~~~~~~= 0, \text{ otherwise}$

where x is the time elapses between the end of the hour and the end of the lecture.

We have to find the values of k.

Since, f(x) is the pdf, then,

$\displaystyle\int^\infty_{-\infty} f(x) = 1\\\\\displaystyle\int^2_{0} f(x) = 1\\\\\displaystyle\int^2_{0} kx^2 = 1\\\\k\bigg[\frac{x^3}{3}\bigg]^2_0 = 1\\\\k\times \frac{8}{3} = 1\\\\k = \frac{3}{8}$