Answer:
The movement of the combinations, explained by your classmate, is presented in an equal way, which does not represent an opportunity cost. In order to be able to perceive a constant opportunity cost, the combinations should present different values, and the choice of one of them, would cause the loss of opportunity to submit to the results that would be obtained with the choice of the others. However, as all combinations are the same, choosing any one would give the same results.
Explanation:
A constant opportunity cost refers to the presentation of elements in a business that would happen differently from each other and that would present different profitable results in a constant and extended way, showing the value and benefits that each one has individually.
Answer:
sec(4x) + C
Explanation:
original problem: ∫sec(4x)tan(x)dx
use integration by substitution (u-sub) by setting u = 4x
if u = 4x, then du/dx = 4 and du = 4dx (dx = du/4)
after substitution the integral is ∫sec(u)tan(u)(du/4)
move the 1/4 out of the integral by using the integral Constant rule to form 1/4∫sec(u)tan(u)du
the anti-derivative of sec(u)tan(u) is sec(u), memorize your trigonometric derivatives!!!!
after integration, we get sec(u)/4 + C , now plug u back into the equation
sec(4x) + C is the general solution
Answer:
D, scholarships and grants
Explanation:
Scholarships and grants are essentially free money. Therefore, they're generally what one would look at first when trying to pay for a higher education.
Caring for another person very deeply
F(x) = x^2 + 6x + 8
= b^2 - 4ac
= (6)^2 - 4(1)(8)
= 36 - 4(8)
= 36 - 32
= 4
g(x) = x2 + 4x + 8
= b^2 - 4ac
= (4)^2 - 4(1)(8)
= 16 - 4(8)
= 16 - 32
= -16
h(x) = x2 – 12x + 32
= b^2 - 4ac
= (-12)^2 - 4(1)(32)
= 144 - 4(32)
= 144 - 128
= 16
k(x) = x2 + 4x – 1
= (4)^2 - 4(1)(-1)
= 16 - 4(-1)
= 16 + 4
= 20
p(x) = 5x2 + 5x + 4
= b^2 - 4ac
= (5)^2 - 4(5)(4)
= 25 - 4(20)
= 25 - 80
= -55
t(x) = x2 – 2x – 15
= b^2 - 4ac
= (-2)^2 - 4(1)(-15)
= 4 - 4(-15)
= 4 + 60
= 64
