Answer:
Cost function is C(x)=4.50x and it is continuous.
Step-by-step explanation:
It is given that Kenny buys mixed nuts at a corner market for $4.50 per pound.
Cost = $4.50 per pound
Let x be the number of pounds of nuts Kenny buys.
The cost function is
It is a linear function and gram of a linear function is a straight line.
The value of x is always positive because the the number of pounds cannot be negative.
The table of values is
x C(x)
0 0
1 4.5
2 9
3 13.5
Plot these point on a coordinate plane and draw a straight line.
A linear function is always continuous.
Since the cost function is a linear function, therefore it is continuous.
Step-by-step explanation:
ED is greater than BC
the line from B to ED ^ (which i drew ) the point it touches ED name it X. so EX will be 2 ( ED-BC)(6-4).
then u have a triangle. EX, XB and EB.
you have length of EX(2) and u have hypotenuse. so u can calculate XB using Pythagoras theorem.
15.1²=2²+XB²
15.1²-2²=XB²
224.01=XB²
XB=14.97
since XB and DC are parallel ( a rectangle is forming XBCD) so DC is also 14.97
The surface element is
and the integral is
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To compute the last integral, you can integrate by parts:
For this integral, consider a substitution of
and the result above follows.