X 25*24*23*22*21*20*19
which gives you
2,422,728,000
To find circumference u multiply the radius or diameter by 3.14 to find radius u divide the diameter by 2
If you know your derivative rules, then
d/d<em>x</em> [1/<em>x</em>] = -1/<em>x</em> ²
so that when <em>x</em> = 6, the derivative has a value of -1/36.
If you have to use the definition of the derivative, then
d/d<em>x</em> [1/<em>x</em>] = lim {<em>h</em> → 0} (1/(<em>x</em> + <em>h</em>) - 1/<em>x</em>) / <em>h</em>
… = lim {<em>h</em> → 0} (<em>x</em> - (<em>x</em> + <em>h</em>)) / (<em>hx</em> (<em>x</em> + <em>h</em>))
… = lim {<em>h</em> → 0} (-<em>h</em>) / (<em>hx</em> (<em>x</em> + <em>h</em>))
… = lim {<em>h</em> → 0} (-1) / (<em>x</em> (<em>x</em> + <em>h</em>))
… = -1/<em>x</em> ²
and at <em>x</em> = 6, you again get -1/36.
Alternatively, use the definition of the derivative at a point:
d/d<em>x</em> [1/<em>x</em>] (6) = lim {<em>x</em> → 6} (1/<em>x</em> - 1/6) / (<em>x</em> - 6)
… = lim {<em>x</em> → 6} ((6 - <em>x</em>) / (6<em>x</em>)) / (<em>x</em> - 6)
… = lim {<em>x</em> → 6} -(<em>x</em> - 6) / (6<em>x</em> (<em>x</em> - 6))
… = lim {<em>x</em> → 6} (-1) / (6<em>x</em>)
… = -1/36
Transformation required to change from red to blue, y = y - 7
Step-by-step explanation:
We are given two parallel lines on a graph.
We know that vertical line is known as the y axis and horizontal line is known as the y axis.
In the given graph the difference between the red and blue lines is 7 blocks towards down which can be noted by moving the point 2 on y axis to the point -5 on y axis will make the parallel lines intersect. So, we have to transform the y coordinates to y - 7 (- for downward movement) factor. So a transformation of y = y-7 on the red line is required to transform it to the blue line.
