The answer is 
.
Apply logarithmic differentiation on each side.
<u>LHS</u>
- u = x^y
- log u = y log x
- 1/u du/dx = y/x + log x (dy/dx)
- du/dx = x^y (y/x + log x dy/dx)
- du/dx = yx^(y - 1) + x^y logx dy/dx
<u>RHS</u>
- v = y^x
- log v = x log y
- 1/v dv/dx = x/y dy/dx + logy
- dv/dx = y^x (x/y dy/dx + logy)
- dv/dx = xy^(x - 1) dy/dx + y^x logy
<u>Equating both sides</u>
- yx^(y - 1) + x^y logx dy/dx = xy^(x - 1) dy/dx + y^x logy
- dy/dx (x^y logx - xy^(x - 1)) = y^x logy - yx^(y - 1)
Answer:
Step-by-step explanation:
The exterior angle is 151 degrees. The theorem states that the sum of its 2 remote interior angles, 5x+3 and 9x-20, will add up to this exterior angle. Therefore,
5x+3+9x-20 = 151 and
14x - 17 = 151 and
14x = 151 + 17
14x = 168 so
x = 12
If you want to find out the measure of each of these angles, just plug in 12 for x and do the math:
5(12) + 3 = 63 and
9(12) - 20 = 88 and
88 + 63 = 151 as it should.
Answer:
gain
Step-by-step explanation:
The distance from the base of the tree to the tallest would be 14.21 cm
<h3>We have the following data points in this question</h3>
X1 = 8 feet
y1 = 16 feet
x2 = 11 feet
y2 = 9 feet
To proceed with the solution we have to
We have to solve for the shorter tree
<em>= </em>9² + 11²
= √81 +121
= 14.21
<h3>For the taller tree we would have</h3>
√8² + 16²
= √64 +256
= 17.89
Read more on distance here:
brainly.com/question/2854969
#SPJ1
I = PRT/100
100I = PRT
P= 100I÷RT
P = 100I/RT
