Answer:
x = 0.8
Step-by-step explanation:
For this problem we will be using trigonometry :
The volume of a cylinder is 375π cm3. The height is 15 cm. What is the radius of the cylinder? 10 cm 12.5 cm 25 cm 5 cm Descript
1 answer:
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Answer:
Step-by-step explanation:
We can covert the standard form into the vertex form by either using the formula, completing the square or with calculus.
The following equation above is the vertex form of Quadratic Function.
<u>Vertex</u><u> </u><u>—</u><u> </u><u>Formula</u>
We substitute the value of these terms from the standard form.
Our h is - 1/2
Our k is 7/4.
<u>Vertex</u><u> </u><u>—</u><u> </u><u>Calculus</u>
We can use differential or derivative to find the vertex as well.
Therefore our derivative of f(x) —
From the standard form of the given equation.
Differentiate the following equation. We can use the dy/dx symbol instead of f'(x) or y'
Any constants that are differentiated will automatically become 0.
Then we substitute f'(x) = 0
Because x = h. Therefore, h = - 1/2
Then substitute x = -1/2 in the function (not differentiated function)
Because y = k. Our k is 7/4.
From the vertex form, our vertex is at (h,k)
Therefore, substitute h = -1/2 and k = 7/4 in the equation.
Price elasticity is defined as 
.
Here, the question has omitted to define variables, so we will ASSUME
p=price
x=variable,
and we're given
p+x^2-160=0
We calculate
by implicit differentiation with respect to p:
1+2x (dx/dp)=0
=>
E(x)=(dx/dp)=-1/(2x)
Therefore the price elasticity at x=65 is
E(65)=1/(2*65) =-1/130 (approximately -0.00769)
Here, the question has omitted to define variables, so we will ASSUME
p=price
x=variable,
and we're given
p+x^2-160=0
We calculate
1+2x (dx/dp)=0
=>
E(x)=(dx/dp)=-1/(2x)
Therefore the price elasticity at x=65 is
E(65)=1/(2*65) =-1/130 (approximately -0.00769)