Answer:
Step-by-step explanation:
We can first solve for the face diagonal. That is 
. Notice this will form a right triangle with the vertical side. We get that the face diagonal = 
. Now, we can use Pythagorean theorem again to get the straw length:
 where s = the straw length.
We can solve that s = 
 
 
        
             
        
        
        
#2) Use quotient rule

Remember for solving log equations:

#3) Derivative of tan = sec^2 = 1/cos^2
Domain of tan is [-pi/2, pi/2], only consider x values in that domain.
#4 Use Quotient rule
#9  Use double angle identity for tan

This way you can rewrite tan(pi/2) in terms of tan(pi/4).
Next use L'hopitals rule, which says the limit of indeterminate form(0/0) equals limit of quotient of derivatives of top/bottom of fraction.
Take derivative of both top part and bottom part separately, then reevaluate the limit. <span />
 
        
             
        
        
        
Answer:
1. y=3/2x + 12   2. y= 1/4x + 8
Step-by-step explanation:
Use the slope formula to get the slope for each line.  Then plug either of the x and y coordinates into the formula y= mx + b and also plug in the slope that you just found and solve for b.