Provide an appropriate response.Consider the sample space of 36 equally likely outcomes to the experiment in which a pair of dice is rolled. Determine whether the events E and F are mutually exclusive.E: The sum is eight.F: The numbers are the same.
A. Yes
B. No
Answer: B
Mathematics
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Find all the second order partial derivatives of the given function.f(x, y) = 
A. 
= - 
; 
= 
; 
= 
= 
B. 
= - 
; 
= 
; 
= 
= 
C. 
= 
; 
= - 
; 
= 
= 
D. 
= - 
; 
= 
; 
= 
= 
Mathematics
Simplify.(4y4/5)15
A. 415y12 B. 4y4/75 C. 415y79/3 D. 4y4/3
Mathematics
Given that the pair of triangles is similar, find the missing length. 
A. x = 5 B. x = 20 C. x = 15 D. x = 16
Mathematics
Identify the maximum and minimum values of the function in the interval [-2?, 2?]. Use your understanding of transformations, not your graphing calculator.y = 
sin 4x
A. Maximum value = 
; minimum value = 0
B. Maximum value = 
; minimum value = - 
C. Maximum value = 
; minimum value = - 
D. Maximum value = 4; minimum value = -4
Mathematics