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:
Are you asking what she should do? If you're asking that i suggest whoever it is that got hurt to decide for herself. If the concussion is very bad and she have seen a doctor and they told you to sit out or something else then you should do as told. But if its mild, then she can know her limits and what she wants to do.
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
Answer: After Germany annexed Austria in March 1938 and particularly after the Kristallnacht pogroms of November 9–10, 1938, nations in western Europe and the Americas feared an influx of refugees.
Explanation:
Do you have to write a paragraph for each one
