Answer:
x = 15/4
Step-by-step explanation:
x - 9x + 4x = - 15
- 4x = - 15
4x = 15
x = 15/4
Answer:
2 + 2 = fish
Step-by-step explanation:
Answer: 875
Explaination: in order to find how many words he can read in 25 minutes we need to find how many words he can read in one minute then multiply that by the number of minutes he read. Like this
420÷ 12=35 35x25=875
Answer:
10) f'(x) = (x² + 6x - 3)/(x + 3)²
11) g'(x) = 1 - csc²x
Step-by-step explanation:
10. f(x) = x(1 - (4/(x + 3))
Expanding gives;
f(x) = x - (4x/(x + 3))
Differentiating gives;
f'(x) = 1 - 4/(x + 3) + 4x/(x + 3)²
Simplifying this gives;
f'(x) = [(x + 3)² - 4(x + 3) + 4x]/(x + 3)²
f'(x) = (x² + 6x + 9 - 4x - 12 + 4x)/(x + 3)²
f'(x) = (x² + 6x - 3)/(x + 3)²
11. g(x) = x + cot x
Rewriting this gives;
g(x) = x + (1/tan x)
We know that derivative of tan x is sec x while derivative of (1/tan x) is -csc²x
Thus;
g'(x) = 1 - csc²x
This can be written as
Differentiating this gives;
g'(x) = 1 - csc²x
What shaded region? Was there supposed to be a pic?
