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AnnyKZ [126]
3 years ago
12

Need help with this please. Given the following functions: f(u)=tan(u) and g(x)=x^9. Find:

Mathematics
1 answer:
melisa1 [442]3 years ago
3 0
You have
.. f'(u) = sec(u)^2
Putting in u = g(x) = x^9, this becomes
.. f'(g(x)) = sec(x^9)^2


You know
(f(g(x))' = f'(g(x))*g'(x) . . . . . chain rule
From previous results, this is
.. sec(x^9)^2*9x^8
You might be interested in
(y + 5)(y – 9) = 0<br> need help asap!!
OLEGan [10]
Set each equation equal to zero. 

y + 5 = 0

Subtract 5 from both sides. 
y = 0 - 5
y = - 5

y - 9 = 0

Add 9 to both sides
y = 0 + 9
y = 9

y = - 5, 9
4 0
3 years ago
Consider the line y = 1/4 - 5/4 x<br> Slope of a parallel line<br> Slope of a perpendicular line
gladu [14]

Answer:

parallel line slop2 = -5/4

perpendicular line slope = 4/5

Step-by-step explanation:

If 2 lines are parallel, they will have equal slopes.

Therefore, the slope of a line parallel to y = 1/4 - 5/4 x will be -5/4

If 2 lines are perpendicular, their slopes are negative reciprocals of each other.  So the slope of the perpendicular line = -1 ÷ -5/4 = 4/5

7 0
2 years ago
The work in a office takes 150 hours to complete every week. Each person in the office works for 32 hours a week. What is the sm
nydimaria [60]

In other words, how many times does 32 go into 150 without going over?


150/32 = 4.6875


Now, the smallest number of people needed to complete the work is found in the ones place or 4.


See it???



6 0
3 years ago
The sum of two numbers is 36. their difference is 4. determine the two unknown numbers.
Rasek [7]
So you know if a and b are the numbers that a+b=36 and a-b=4 so you can solve one I solved the second equation for a a=4+b and plugging that a value into equations gives you 4+b+b=36
This simplified to 4+2b=36
2b=32
B=16 so you know one number is 16 and you can plug it in to find a a-16=4 so a=20

Therefore the two numbers are 16 and 20
6 0
4 years ago
Mrs. Dixon had 1/2 of a cherry pie leftover. She split the leftover pie evenly between her children, and each child got 1/6 of a
AVprozaik [17]
1/2 = 3/6
Each children got 1/6
3/6 - 1/6x = 0
3/6 = 1/6x
X = 3, she has 3 children
8 0
3 years ago
Read 2 more answers
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