Given:
Two numbers are 12 and 21
To find:
The factors of 12 and 21, then find the common factor and the greatest common factor.
Solution:
Two numbers are 12 and 21. The prime factors of these two numbers are
From the above factorization, it is clear that the factor 3 is common in both. So,
Common factor (CF) = 3
Only 3 is common in factorization of both. So,
Greatest common factor (GCF) = 3
Therefore, the common factor is 3 and the greatest common factor is also 3.
We are given with the equation y = 2x*log[10](sqrt(x)) we use the rule of products of the differential equation to answer this problem. y' = u dv + v du. derivative of 2x is 2 while the derivative of log(sqrt(x)) with base 10 is 1/x ln10 * (0.5x^-0.5) in this case,
y' = 2 log[10](sqrt(x)) + 2x* 1/x ln10 * (0.5x^-0.5)
y' = 2 log[10](sqrt(x)) + l/ ln 10 sqrt(x)
We need to get two equations. One equation will be the value at the curve. The other will contain derivative. For the first equation, find the value on the curve. -k = m
It will help to graph it, so that you can see the shape. However, you can also just solve it by looking at the vertices. If you graph it, you'll see that the shape is a trapezoid. The two bases are 4 and 6, while the height is 5 - 1 = 4. So, we solve by using the equation for the area of a trapezoid: (6 + 4) * 4 * .5 = 20 units squared.
