Given one to one f(6)=3, f'(6)=5, find tangent line to y=f⁻¹(x) at (3,6)
OK, we know
f⁻¹(3)=6
The inverse function is the reflection in y=x. So slopes, i.e. the derivative will be the reciprocal. We know the derivative of f at 6 is 5, so the derivative of f⁻¹ at y=6 is 1/5, which corresponds to x=3.
f⁻¹ ' (3) = 1/5
That slope through (3,6) is the tangent line we seek:
y - 6 = (1/5) (x-3)
That's the tangent line.
y = x/5 + 27/5
The number is composed by two digits, let them be ab, so we have:
a + b = 11
this is a pseudo-equation, we are not multiplying ab or ba, is just the digits order.
ba = ab + 9
The pairs of numbers that could comply with the first equation are:
(2,9)
<span>(3,8)
</span><span>(4,7)
</span><span>(5,6)
</span>But only the last couple <span>(5,6) comply as well with the second condition. Because 65 = 56 + 9
Therefore the unknown number is 56</span>
In math, the median in a group of values is the value that is closest to the center of the group when the values are organized from least to greatest.
For example, in the group [50, 51, 53, 56, 67], 53 would be the median, because it is in the middle of the group.
Hope that helped =)
It is 16 inches hope this helps!
we know that
shape of solar array will be rectangular
we are given
length=240ft
width =40ft
we know that
Area=length*width
............Answer
