Dy/dx = dy/dt * dt/dx
xy = 4
y + x(dy/dx) = 0 by implicit differentiation.
x(dy/dx) = -y
dy/dx = -y/x
<span>dy/dx = dy/dt * dt/dx dy/dt = -2
</span>
<span>-y/x = -2 * dt/dx
</span>
y/(2x) = dt/dx
dt/dx = y/(2x)
dx/dt = 2x/y
When x = -3, xy = 4, y = 4/x = 4/-3 = -4/3
dx/dt = 2*-3/(-4/3) = -6 *-3/4 = 18/4 = 9/2 = 4.5
dx/dt = 4.5
Answer: 17 minutes and 30 seconds
Step-by-step explanation:
You would do 35,000 ÷ 2,000 = 17.5 therefore it's 17 minutes and 30 seconds until the airplane will reach the ground
<h2>
Hello!</h2>
The answer is:
d)
<h2>Why?</h2>
A hole is a point where rational functions lose its continuity, meaning that in that point, there is a discontinuity condition.
We can find the hole of a rational function if there are similar terms on the numerator and the denominator by finding:
First (x-component): The values of x that makes the function equal to 0 in both numerator and denominator.
Second (y-component): Re-evaluating the same term in the other factors of the function to know the y-component.
Finding the x component we have:
So, the x-component is 1,
Then, re-evaluating the function:
Therefore, the y-component is 4,
Hence,
The function has a hole at (1,4)
Have a nice day!
Answer:
<h2><em><u>61 marks</u></em></h2>
Step-by-step explanation:
<em><u>Given</u></em><em><u>,</u></em>
Marks of the four exams = 65, 80, 76, 68
Let the mark for the fifth exam be = x
Mean of the five exams = 70
<em><u>Therefore</u></em><em><u>,</u></em>
<em>By</em><em> </em><em>the</em><em> </em><em>problem</em><em>, </em>
=> 289 + x = 70 × 5
=> 289 + x = 350
=> x = 350 - 289
=> x = 61
<em><u>Hence</u></em><em><u>,</u></em>
<em><u>Marks</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>fifth</u></em><em><u> </u></em><em><u>exam</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>61</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em>