Wait let me know that the .12 means in the first question and i will fix the answer
int (x)(cosx) dx
u=x ----> take derivative du=dx
dv=cosx -----> take integral v=sinx
now use integration by parts
u v - int (v)du
x sinx - int (sinx) (1) dx=
x sinx - (-cos(x)) + c =
answer is = x sinx + cosx + c
I don’t think I know but have a good day
Answer:
B
Step-by-step explanation:
the mean is calculated as
mean = 
this year's mean =
=
= 4.1
last year's mean =
=
= 3.1
difference = 4.1 - 3.1 = 1
x² - 5x - 24 = 0
First, we have to solve the quadratic equation and find the two values of x that fit the equation.
There are two values of x that fit:
x₁ = (5+11)/2 = 16/2 = 8
x₂ = (5-11)/2 = -6/2 = -3
Now I can restate the original equation in terms of a product of factors, with this product being equal to zero:
(x - x₁) * (x - x₂) = 0
ANSWER (x-8) * (x+3) = 0
Now I can solve each factor by setting each one equal to zero and solving the resulting linear equations:
x - 8 = 0 or x + 3 = 0
x = 8 or x = -3
We can check that these two values are the solution to the original quadratic equation.
x² - 5x - 24 = 0
First value
8² -5*8 -24 = 0
64 - 40 -24 = 0
0 = 0 ¡Checked!
Second value
(-3)² -5(-3) -24 = 0
9 + 15 -24 = 0
0 = 0 ¡Checked!
Hope this helps!