Answer:
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Step-by-step explanation:
Answer:
A) g is increasing, and the graph of g is concave up.
Step-by-step explanation:
g'(x) = ∫₀ˣ e^(-t³) dt
Since e^(-t³) is always positive, ∫₀ˣ e^(-t³) dt is positive when x > 0. So the function is increasing.
Find g"(x) by taking the derivative using second fundamental theorem of calculus:
g"(x) = e^(-x³)
g"(x) is always positive, so the function is always concave up.
The side of the square is (12x+52)/4=3x+13.
If x + 4y = 6 and you subst. -x+3 for y, you get x + 4(-x+3) = 6.
Then x - 4x + 12 = 6, or -3x = -6, or x = 2. Since y = -x+3, here y = -(2)+3 = 1.
Thus, the solution to this system of linear equations is (2,1).