By implicit differentiation:
<span>(x(dy/dx) + y)e^(xy) = 0 </span>
<span>Note that when differentiating e^(xy), apply chain rule. When differentiating xy, use product rule. Also: When differentiating y w/respect to x, think of that as if you are differentiating f(x). </span>
<span>Then, substitute (1,ln(2)) and solve for dy/dx. </span>
<span>(1(dy/dx) + ln(2))e^(1ln(2)) = 0 </span>
<span>((dy/dx) + ln(2))e^(ln(2)) = 0 </span>
<span>Note that e^(ln(2)) = 2 since e and ln are inverse of each other. </span>
<span>2((dy/dx) + ln(2)) = 0 </span>
<span>dy/dx + ln(2) = 0 . . . . You get this expression by dividing both sides by 2 </span>
<span>dy/dx = -ln(2) . . . . . . .Subtract both sides by ln(2) </span>
<span>Therefore, dy/dx = -ln(2) </span>
<span>I hope this helps!</span>
25. 6 cents for each ounce
Answer:
The probability is 
Step-by-step explanation:
From the question we are told that
The maximum wait is 
The minimum wait would be 
Generally the probability that you will wait more than 25 minutes for a bus is mathematically represented as
Now given that the time a person waits is uniformly distributed and that the maximum is 30 then we can evaluate the above probability as
Answer:
0.78 Watts is correct answer.
Step-by-step explanation:
Formula:
P=V*I
=12*(6.5*10^-2)
= 12*0.065
=0.78 Watt.
