It Should be 15/x for what I see in my notes
Answer:
16p
Direction: positive/upward direction
Step-by-step explanation:
First, the function is f(x,y) = 4ypx
At the point where x=4 and y=1, the maximum rate of change of the function f(x,y) is
4(1)p(4) = 16p
The direction in which it occurs is the positive(upward) direction
Answer:
Nirmala can use the lamp for 31.66 hours before it runs out of oil.
Step-by-step explanation:
From the graph,
Take any two points, let say
(15, 25)
(25, 10)




The equation of line in slope-intercept form

Putting
and any point, let say (25, 10), to find the y-intercept 'b'







So the equation of line will be:


In order to find how long Nirmala can use the lamp before it runs out of oil, we need to find x-intercept which can be obtained by putting y = 0, and solve for x, as duration lies on x-axis.
so

Putting y = 0










Therefore, Nirmala can use the lamp for 31.66 hours before it runs out of oil.
Step-by-step explanation:
4k - 6 < 3k + (k - 1)
4k < 3k + 6(k - 1)
4k < 3k + 6k - 6
4k < 9k - 6
4k - 9k < -6
-5k < -6
k < <u>-</u><u>6</u>
-5
k < <u>6</u>
5