Answer:
y = e·x
Step-by-step explanation:
The equation of a line tangent to a curve at a point is conveniently written in the point-slope form. The slope is the derivative of the function at the point. For your function, the rules applicable to products and exponential functions apply.
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y = (e^x)(x^2 -2x +2
y' = (e^x)(x^2 -2x +2) +(e^x)(2x -2) . . . . . (uv)' = u'v +uv', (e^x)' = e^x
y' = (e^x)x^2 . . . . . simplify
For x=1, the slope is ...
y' = (e^1)(1^2) = e
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The point-slope form of the equation for a line is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
y -e = e(x -1) . . . . . . . line with slope 'e' through point (1, e)
y = e·x -e +e . . . . . add e
y = e·x . . . . . . . . . . equation of the tangent line
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<em>Additional comment</em>
It is often the case that ex is written when e^x is intended. We are trying to avoid that ambiguity here by writing the equation with an explicit "times" symbol.
Answer:
Step-by-step explanation:
If the sides of the square are 10 ft apiece then you do length*widtb to find the area. 10*10 is 100.
Hey there!
The answer is 
We will start by forming an equation to solve this.
So we are starting with a number, 
, then doubling it and adding 
, which gives us 25.
So:
Now we solve this equation:
Have a super awesome day!
Answer:
the perimeter is 152, the area is 910
Step-by-step explanation:
perimeter = 20+50+20+10+6+15+6+25
=152
area = (20×50)-(6×15)
= 1000-90
= 910
hope that helped!
Hi :)
This kind of question is purely based upon proportionality. We are going to be using the cross product method to assess it.
First-hand, it can always help to write down the information that you do have, and the one that is missing.
Here;
450-pound tiger — > 15 pounds of meat
360-pound tiger — > ?? pounds of meat
The calculation you’ll want to use is the following:
360 x 15 / 450
The answer is 12 pounds.
Therefore, you would expect a 360-pound tiger to eat 12 pounds of meat per day.
I hope this helps! Have a nice day :)
