I believe the answer is B
Answer:
k = 6
Step-by-step explanation:
Using synthetic division, we find the remainder from the division to be ...
remainder = 4k+2
Then we need to find k such that ...
4k +2 = 26
4k = 24 . . . . subtract 2
k = 6 . . . . . . divide by 4
The value of k is 6.
The complete question is
A fence must be built to enclose a rectangular area of 5000ft^2. Fencing material costs $1 per foot for the two sides facing north and south and 2$ per foot for the other two sides. Find the cost of the least expensive fence.
Answer:
Total cost will be $400
Step-by-step explanation:
Let x = be other side
y = north and south side
Area = x*y = 5000
Perimeter of the rectangle = 2x + 2y
cost of fencing = 2(1)*5000/x + 2*2x
= 10000/x + 4x
now to get the least we will take the derivative of this
C'(x) = 10000(-1/x^2) + 4 =0
x^2 = 2500
x= 50ft cost = 2*$2*50 = $200
y= 100ft cost = 2*$1*100 = $200
Total cost = $400
Answer:
The answer is - 9
Step-by-step explanation:
d/dx cot(x) = -csc²(x)
d/dx sin(x) = cos(x)
So, if f(x) = 4 cot(x) + 10 sin(x), then
f '(x) = -4 csc²(x) + 10 cos(x)
