Answer:
The correct option is;
y = arcsinx and y = arctanx
Step-by-step explanation:
The given options are;
1) y = arcsinx and y = arccosx
Here, we have at the origin, where x = 0, arccosx ≈ 1.57 while arcsinx = 0
Therefore arccosx does not intersect arcsinx at the origin for it to be symmetrical to arcsinx or the origin
2) y = arccosxy and y = arctanx
Here arctanx = 0 when x = 0 and arcos x = 1.57 when x = 0 therefore, they are not symmetrical
3) y = arctanx and y = arccotx
Similarly, At x = 0, arccotx = 1.57 therefore, they are not symmetrical
4) y = arcsinx and y = arctanx
Both functions arcsinx and arctanx pass through the origin and their shapes are similar but inverted as they go from negative to positive.
Answer:
Maximize C =


and x ≥ 0, y ≥ 0
Plot the lines on graph




So, boundary points of feasible region are (0,1.7) , (2.125,0) and (0,0)
Substitute the points in Maximize C
At (0,1.7)
Maximize C =
Maximize C =
At (2.125,0)
Maximize C =
Maximize C =
At (0,0)
Maximize C =
Maximize C =
So, Maximum value is attained at (2.125,0)
So, the optimal value of x is 2.125
The optimal value of y is 0
The maximum value of the objective function is 19.125
Answer:
23 11/12 yards or 23.9166 yards
Step-by-step explanation:
2/3 of 100 yard race is equivalent to 66 2/3 yards. Tge difference between the above and 42 3/4 yards covered by tortoise will be
66 2/3- 42 3/4= 23 11/12 yards or 23.91666 yards
Answer:
120 cm
Step-by-step explanation:
One way to tackle this is by getting another sheet of paper and drawing it out, then counting up the total of the sides. If you draw it, you can see that you're dealing with a rectangle; two sides of length 12 and two sides of length 8. If you don't like drawing or don't want to in this case, another way to get the answer is by knowing one vertex is at (0, 0), so the next vertex (0, 8), would create a side that's exactly 8 units long. Kind of the same, you know from (0, 0), you also have a point (12, 0), so drawing that would create a side that's 12 units long. All in all, to get the perimeter in units, you have 12 + 12 + 8 + 8 = 40.
The problem says it wants the amount of wood in centimeters needed for the perimeter. What we just found was the perimeter in generic units, so if the problem says every "grid square", or unit, is 3 centimeters long, then all you have to do is take our result 40 and multiply it by 3 to get the number of centimeters. Your perimeter in centimeters would be 120 cm.
Answer:
you times that by 7 I think
Step-by-step explanation: