Answer:
The turns of a graph is represented by the number of maximum or minimum that the function has.
If we differenciate f(x) we get:
f'(x)=4x^3+6x
f'(x)=2x(2x^2 + 3)
Therefore f'(x) =0, when x=0. Given that negative roots are not defined.
Therefore, the number of turns will be given by the number of solutions of f'(x) which is 1.
Attached you find the graph of the function which confirms the number of turns.
If the function had other solutions, the maximum number of turns it could have is 3! because f'(x) is a third degree polynomial, therefore it can't have more than 3 solutions!
Solving the equation 
we get 
Step-by-step explanation:
We need to solve the equation and find value of x
Solving:
So, solving the equation we get
Keywords: Solving Equations
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Answer:
The product of 
is 
Step-by-step explanation:
We need to find the product of
Using the exponent rule: 
So,
Applying above rule:
So, the product of is
The area of the trapezoid is calculated through the equation,
A = ((b₁ + b₂)/2) x h
where b₁ and b₂ are the bases and h is the height. Substituting the known values from the given above,
504 = ((18 + 30)/2) x h
The value of h from the equation is 21. Thus, Molly must make the trapezoid 21 inches high.
