Answer:
a)
, b)
.
Step-by-step explanation:
a) The graphic is enclosed to the problem. By visual inspection, an absolute maximum is found.

b) The exact method consists in the application of the First and Second Derivative Tests. First and second derivatives are, respectively:


The First Derivative Test consists in equalizing the first derivative to zero and solving the expression:


According to the second derivative, the critical point leads to a maximum. The remaining component is determined by evaluation the polynomial:


The exact solution is
, indicating that graphic solution leads to a good approximation.
The perimeter of a rectangle is 30 inches. If its length is three times its width, find the dimensions. 30 inches=2(L+W) Divide each side by 2. 15 inches=L+W Substitute for L.
i guess is by multiplying 3by the first equation and multiply 2by the second equation
Answer:
just add them
Step-by-step explanation:
Answer:
The correct option is B
B) (1/729)c²⁷
Step-by-step explanation:
Lets write it all in an understandable form.
The given expression is:
( 9c ⁻⁹ ) ⁻³
The given options are:
A) 9c²⁷
B) (1/729)c²⁷
C) 729c²⁷
D) 9/c²⁷
Lets find the solution. The given expression is:
( 9c ⁻⁹ ) ⁻³
Multiply the outer power -3 with each term inside the bracket. It can be rewritten as.
(9⁻³) ( c ⁽⁻⁹⁾⁽⁻³⁾)
A negative power can be converted into positive by taking it down in the denominator.
The multiplication (-9)(-3) results in 27.
The equation can be written as:
( 1/9³) ( c²⁷)
Where 9³ = 729
( 1/729)( c²⁷)
which is equal to option B