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.
Answer:
Step-by-step explanation:
If (x + 2) is a factor of a polynomial then ( - 2 ) is the zero of that polynomial ⇒ ( - 2 )³ + 2( - 2 )² + 2( - 2 ) + k = 0 ⇒ k = - 4
Answer:
C. 139°
Step-by-step explanation:
Given:
m<A = 62°
m<B = 77°
Required:
Find m<1
Solution:
Since ∆ABC is similar to ∆DEF, therefore:
<A ≅ <D, which means m<D = 62°
<B ≅ <E, which means m<E = 77°
<C ≅ <F
Therefore, based on exterior angle theorem:
m<1 = m<D + m<E
m<1 = 62° + 77° (substitution)
m<1 = 139°
Answer:
C) As the amount of snow increases, the number of accidents increases.
Step-by-step explanation:
An image showing the scatter plot is attached.
From the attached imaged, the scatter plot is a straight line which goes up along the X - Y axis.
X = snowfall
Y = accident
Since the scatter plot is going up increasingly for any value plotted; it means as the amount of snow increases, the number of accidents increases. That is, as X (snowfall) increases Y (accident) increases also.
