Answer:
5
Step-by-step explanation:
1 1/6 + 1 1/6 + 1 1/6 +1 1/6 + 1 1/6= 5 5/6
 
        
                    
             
        
        
        
The length of a curve <em>C</em> parameterized by a vector function <em>r</em><em>(t)</em> = <em>x(t)</em> i + <em>y(t)</em> j over an interval <em>a</em> ≤ <em>t</em> ≤ <em>b</em> is

In this case, we have
<em>x(t)</em> = exp(<em>t</em> ) + exp(-<em>t</em> )   ==>   d<em>x</em>/d<em>t</em> = exp(<em>t</em> ) - exp(-<em>t</em> )
<em>y(t)</em> = 5 - 2<em>t</em>   ==>   d<em>y</em>/d<em>t</em> = -2
and [<em>a</em>, <em>b</em>] = [0, 2]. The length of the curve is then





 
        
             
        
        
        
Answers:
- Translation 3 units up
- k = 3
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Explanation:
The y intercept of the black f(x) curve is at (0,1)
The y intercept of the blue curve is at (0,4)
To go from y = 1 to y = 4, we add 3
So we shift 3 units up to go from the f(x) curve to the g(x) curve.
The value of k is 3, which corresponds exactly to the vertical shift. If we shifted down, then k would be negative.
 
        
             
        
        
        
Answer:
B. M-prime (4,-3)
Step-by-step explanation:
When rotated clockwise, point (h,k) is changed to point (k,-h).
 
        
                    
             
        
        
        
Answer:
output = 9
Step-by-step explanation:
add 5 to the input to obtain output
output = 4 + 5 = 9