It would be c because the dot need to be open since it’s not greater than it equal to 2
Answer:
0.15y
Step-by-step explanation:
0.2*0.75*y = 0.15y
It's a linear program; the extrema will be at the corners.
Let's enumerate them. 4 choose 2 gives 6 possible meets of 4 lines. One pair are parallel, down to five to try.
4x-y=1 intersects x=0 at y=-1, outside the domain y≥0.
4x-y=1 intersects y=0 at x=1/4, (1/4, 0)
4x-y=1 intersects x=5 at y=19, (5,19)
(0,0) is outside the domain 4(0)-0=0 which isn't ≥1.
(5,0) is a valid corner.
It's a triangular domain. Three points to try,
C(1/4,0) = 6(1/4) + 2(0) = 3/2
C(5,19) = 6(5) + 2(19) = 68
C(5,0) = 6(5) + 2(0) = 30
Answer: Maximum C=68 at (x,y)=(5,19)
Answer: 7 7/8 cups of flour
Step-by-step explanation:
Since John is making 3 1/2 batches of cookies and each batch takes 2 1/4 cups of flour.
The amount of flours that John will need for the cookies will be gotten by multiply the batches of cookies made by the number of flours of cups used per batch and this will be:
= 3 1/2 × 2 1/4
= 7/2 × 9/4
= 63/8
= 7 7/8 cups of flour
(a) Differentiate each of the components to get r'(t). The rule is
.. d/dt (a*e^(bt)) = a*b*e^(bt)
The answer you have shown is the correct one.
(b) See the figure. The red curve is the position r(t) for 0 ≤ t ≤ 2. The dashed orange line is the tangent line, whose equation is
.. L(t) = r(0) +r'(0)*t = (2 +2t)i +(3 -3t)j
