Answer:
1
Step-by-step explanation:
The maximum on the first interval is at x=0, where 2·0 +1 = 1.
The maximum on the second interval is near x=0, where the function value is near 0² +1 = 1.
The absolute maximum value of the function is 1.
Answer:
x = 13 ,y = 60
Step-by-step explanation:
Solve the following system:
{2 x + 6 y = 386 | (equation 1)
4 x + 4 y = 292 | (equation 2)
Swap equation 1 with equation 2:
{4 x + 4 y = 292 | (equation 1)
2 x + 6 y = 386 | (equation 2)
Subtract 1/2 × (equation 1) from equation 2:
{4 x + 4 y = 292 | (equation 1)
0 x+4 y = 240 | (equation 2)
Divide equation 1 by 4:
{x + y = 73 | (equation 1)
0 x+4 y = 240 | (equation 2)
Divide equation 2 by 4:
{x + y = 73 | (equation 1)
0 x+y = 60 | (equation 2)
Subtract equation 2 from equation 1:
{x+0 y = 13 | (equation 1)
0 x+y = 60 | (equation 2)
Collect results:
Answer: {x = 13 ,y = 60
Answer:
110000
Step-by-step explanation:
Total area of the ends: 2(2")(6") = 24 in^2
Total area of the sides: 2(2")(9") = 36 in^2
Are of the bottom : 1(6")(9") = 54 in^2
Total surface area to be covered = (24+36+54) in^2
(5x^2 + x - 4)(x + 2) = x(5x^2 + x - 4) + 2(5x^2 + x - 4) = 5x^3 + x^2 - 4x + 10x^2 + 2x - 8 = 5x^3 + 11x^2 - 2x - 8