Partial derivative is derivative over only 1 variable.
here we have 2 variables so it depends on which variable you want to make partial derivative.
case 1.
df/dx = -3y
case 2
df/dy = 5y^4 - 3x
Step-by-step explanation:
a) 7!
If there are no restrictions, answer is 7! as it is the permutation of all animals.
b) 4! x 3!
As cats are 6 and Dogs are 5, thus 1st and last must be cats in order to have alternate arrangements. Therefore the only choices are the order of the cats among themselves and the order of the dogs among themselves. There
are 4! permutations of the cats and 3! permutations of the dogs,
so there are a total of 4! x 3! possible arrangements of the suites.
c) 3! x 5!
There are 3! possible arrangements of the dogs among themselves. Now, if we consider the dogs as one ”object” together, then we can think of arranging the 4 cats together with this 1 additional object. There are 5! such arrangements possible, so there are a total of 3! · 5! possible arrangements of the suites.
d) 2 x 4! x 3!
As required that all the cats must be together and all the dogs must be together, either the cats are all before the dogs or the dogs are all before the cats. There are two possible arrangements thus two times of both possibilities is the answer i.e. 2 x 4! x 3!
That's a funky problem... :/ I mean it would depend on how much she earns weekly. If she were working 40 hours each week and earning 10$ an hour then yes, she would have enough. Even is she were per say a student on a part time working 30 hours and earning 8$ per hour, she would still have enough.
Answer: Ball's kinetic energy became potential energy
Step-by-step explanation:
There are no options attached but this should be along the lines of what happened.
Kinetic energy refers to energy that an object has as a result of it moving whilst potential energy is the opposite and is energy that an object stores within itself due to several factors whilst it is not in motion.
The ball was initially in motion which means that it had kinetic energy but as the ball was slowing down, this energy was gradually converted to potential energy until the balls came to a standstill.
Answer:
a. The average number of hashtags used in a social media post from a marketing agency is different than 7 hashtags.
Step-by-step explanation:
A social media platform states that a social media post from a marketing agency has 7 hashtags, on average.
This means that at the null hypothesis, we test if the mean is 7, that is:

A digital marketing specialist studying social media advertising believes the average number of hashtags used in a post from a marketing agency is different than the number stated by the social media platform.
Keyword is different, so at the null hypothesis, we test if the mean is different of 7, that is:

Thus, the correct answer is given by option a.