Find maximum points y=11^(6x-x²) solve using derivative

Step-by-step explanation:

hello

so to know the maximum to y we can check the maximum of

f(x)=

f is derivable and f'(x)=6-2x

f'(x)=0 <=> x = 3

so the maximum is reached for x = 3

f(3)=18-9=9

and then

to be rigorous, we can write the variation table of y to show that there is only one maximum

hope this helps

Number of year Mary’s salary be the same at both = 7 year

Equal salary amount =  46,500

Step-by-step explanation:

Given:

Starting salary in job A = 36,000

Gain per year in job A = 1,500

Starting salary in job B = 29,000

Gain per year in job B = 2,500

Find:

Number of year Mary’s salary be the same at both = ?

Equal salary amount = ?

Computation:

Assume : in x year salary from job A is equal to salary from job B

Salary from job A in x year = 36,000 + 1,500 x Eq1

Salary from job B in x year = 29,000 + 2,500 x Eq2

From Eq1 and Eq2

36,000 + 1,500 x = 29,000 + 2,500 x

7,000 = 1,000 x

x = 7 Year

Number of year Mary’s salary be the same at both = 7 year

From Eq1

Equal salary amount =  36,000 + 1,500(7)

Equal salary amount =  36,000 + 10,500

Equal salary amount =  46,500