Answer:
½ ln 3
Step-by-step explanation:
∫ sec²x / tan x dx
If u = tan x, then du = sec²x dx.
∫ du / u
ln|u| + C
ln|tan x| + C
Evaluate between π/4 and π/3.
ln|tan(π/3)| + C − (ln|tan(π/4)| + C)
ln|√3| + C − ln|1| − C
ln(√3)
½ ln 3
What is the probability that a student with a GPA below 3.0 does not enjoy school?
Only 15/60 below 3.0 enjoy school.
Rounded, that equals 25%.
Therefore, there is a 75% probability that a student with a GPA below 3.0 does not enjoy school.
Answer:
find out how many units higher g(x) is compared to f(x).
g(x) is 3 units higher than f(x)
Since the graph is 3 units higher, the value of k must be 3.
Step-by-step explanation:
ok i honestly hope i answerd this correctly because im terrible at reading math
Best to find the equation of the parabola first:
Its equation is y+12.5 = (x+1.5)^2, or y = -12.5 + (x+1.5)^2
Check the first possible x-intercept: let x = -2. Does y come out to 0?
y = -12.5 + (-0.5)^2 = -12.5 + 0.25. This is not equal to 0, so (-2,0) is not an x-intercept of this parabola. Continue checking each possible x-intercept until you find the right one (or ones).
Hint #2 is a or b so ya, and 3 is c