First compute the first-order partial derivatives and find the critical points.
Both first order derivatives vanish at
.
Computing the Hessian, we get
We have
, which means
is an extremum of
. Since
, this extremum is a local maximum of
with a value of 21.
If I could see the graph correctly, then the y-intercept should be -5.
Answer:
f(x) = x² - 9
Step-by-step explanation:
Given x = a is a zero of the polynomial f(x) then (x - a) is a factor
Given zeros are x = 3 and x = - 3, then corresponding factors are
(x - 3) and (x - (- 3) ), that is
(x - 3) and (x + 3)
The function is then the product of the factors, that is
f(x) = (x - 3)(x + 3) ← expand using FOIL
f(x) = x² - 9
Lets do this like this:
X = number of quarters and y=number of dimes.
Now, we know that the total number is 35 and that the change adds up to 6.50.
One equation we can form is <span>x+y=35</span>Remember the total number of coins is 35.
The other equation is <span>25x+.1y=6.5</span>Because the number of dimes times their value plus the number of quarters times their value gives us a total of 6.5. Now we can solve for x or y easily in the first equation.
Solving for y like this:<span>y=35−x</span>We can substitute this into the other equation to obtain<span>.25x+.1(35−x)=6.5</span>This simplifies to<span>.15x+3.5=6.5</span><span>.15x=3</span><span>x=<span>20
I hope this can help you indeed</span></span>
The equation is already solved for the variable t To solve for any other variable simply rearrange theequation to have the indicated variable on one sideof the equals sign and everything else on the other. For example, to solve for a: t=an+b subtract b from both sidest-b = an divide both sides by n(t-b)/n = a Or: a = (t-b)/n Work in the same manner to solve for either b or n: b = t-an n = (t-b)/a
