Answer with Step-by-step explanation:
We are given that

Point=(x,y)=(0,2)
We have to find the maximum rate of change of f at given point.





Maximum rate of change of f at point (0,2)=
Where x=Coefficient of i
y=Coefficient of j
By using the formula
Maximum rate of change of f at point (0,2)=
Direction of maximum rate of change of f=
Can I see the full problem from the worksheet?your work looks correct to me.
For the first one, you did good. I will just suggest a couple things.
Statement Reason
JK ≅ LM Given
<JKM ≅ < LMK Given (You did both of these steps so well done.)
MK ≅ MK Reflexive Property (Your angle pair is congruent but isn't one of the interior angle of the triangles you are trying to prove.)
ΔJMK ≅ ΔLKM SAS
Problem 2: (You also have a lot of great stuff here.)
Statement Reason
DE ║ FG Given
DE ≅ FG Given
<DEF≅<FGH Given
<EDF≅<GFH Corresponding Angles (You don't need to know that F is the midpoint but you got corresponding angle pair which is correct.)
ΔEDF≅ΔGFH ASA
<DFE≅<FHG CPCTC
Systematic sampling is a type of probability sampling method in which sample members from a larger population are selected according to a random starting point but with a fixed, periodic interval. This interval, called the sampling interval, is calculated by dividing the population size by the desired sample size.
Answer:
133
Step-by-step explanation: