Answer:
(−2, 11/2)
Step-by-step explanation:
Answer:
the fewest number is 5,6,7
Step-by-step explanation:
hope it helps
Given :
A college cafeteria pays student cashiers $540 per hour. Cashiers earn an additional $110 per hour for each hour worked over 35 hours per week.
To Find :
A cashier worked 39 hours one week and 37 hours the second week.
Show and explain to the cashier how her salary calculated in this two-week period.
Solution :
Week 1 :
For first 35 hours he will get fixed amount i.e $540.
Now, for next four hours he will get $110 per hour.
So, total salary, T = 540 + (110×(39 - 35)
T = $980
Week 2 :
Total salary, T = 540 + ( 110×( 37 - 35 ))
T = $760
Therefore, salary of two week period is $( 980 + 760 ) = $1740.
y = cos(7x)
First derivative = -7sin(7x)
Second derivative = - (7^2)cos(7x)
3rd derivative = (7^3)sin(7x)
4th derivative = (7^4) cos(7x)
5th derivative = -(7^5) sin (7x)
6th derivative = -(7^6) cos(7x)
nth derivative ?
Analysis and conclusion
If n is multiple of 4 or a number before a multiple of 8 the sign is positive
If n is one or two numbers after a multiple of 4 the sign is negative.
7 is raised to exponent n
if n is odd the function is sin(7x), if n is even the function is cos(7x)
n = 57 => odd, and it is a number after 56 which is a multiple of 4 => negative sign
Therefore, the 57th derivative = - (7^57)sin(7x)
