Answer:
dy/dx= cos(ln(x))/x
Step-by-step explanation:
y=sin(ln(x)) given
We have to use chain rule to differentiate!
Let u=ln(x) then du/dx=1/x
So we have
if y=sin(ln(x)) then y=sin(u) and dy/dx=dy/du * du/dx=cos(u) *1/x
where again u=ln(x) so
dy/dx=cos(ln(x)) *1/x
dy/dx=cos(ln(x))/x
I hope I have the right intepretation because I do see a ? in between sin and (ln(x)) .
Answer:
C, Length = 39.4 cm; width = 7.9 cm
Step-by-step explanation:
The permimeter of a rectangle is 2 times the width + 2 times the length or 2(l + w)
The length is 4 times w plus 7.8.
So: 2w+2(4w+7.8)=94.6
= 2w+8w+15.6=94.6 (Factor out the brackets)
= 10w+15.6=94.6 (Combine like terms)
= 10w=79 (Subtract 15.6 from both sides)
= w=7.9 (Divide both by 10).
So, the width is 7.9 cm and the length is 39.4 cm (4 * 7.9 + 7.8)
Answer:
r = 0.5 or 1/2
Step-by-step explanation:
Simple Interest Rate Formula: A = P(1 + r)^t
Simply plug in our known variables:
2700 = 800(1 + r)³
Now we solve for <em>r</em>:
<em>Divide both sides by 800</em>
27/8 = (1 + r)³
<em>Take the cube root on both sides</em>
∛27/8 = ∛(1 + r)³
<em>Simplify</em>
3/2 = 1 + r
<em>Subtract 1 on both sides</em>
r = 1/2
r = 0.5
It will take 2.5 hours
125km / 50km/h = 2.5h to go 125 km
