How many 1/8 pound slices can be cut from a 1/2 pound apple?
1 answer:
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Given:
Point = ( -4,8).
To find:
The image point of (-4, 8) after a translation right 4 units and up 2 units.
Solution:
We know that, if a figure translated 4 units right and 2 units up, then the rule of translation is
The point is (-4,8).
Putting x=-4 and y=8, we get
Therefore, the image of point (-4,8) is (0,10).
Answer:
x(log(x) - 1) + C
Step-by-step explanation:
The formula for the derivative of a logarithm function is:
For your case, the base is 10. Now that we have the derivative, lets use integration by parts. I will be differentiating log(x) and integrating 1:
u = log(x)
du = dx/xlog(10)
dv = 1
v = x
You get:
log(x)x - integral(dx/log(10))
Therefore the answer is:
log(x)x - x/log(10) + C
x(log(x) - 1) + C