<span> by taking integral we get
integral sec(x) (tan(x)+sec(x)) dx
applying integral we get
sec(x) (tan(x)+sec(x)) gives sec^2(x)+tan(x) sec(x)
= integral (sec^2(x)+tan(x) sec(x)) dx
Integrate the sum term by term
= integral sec^2(x) dx+ integral tan(x) sec(x) dx
For the integrand tan(x) sec(x), now we will use substitution
substitute u = sec(x) and du = tan(x) sec(x) dx
= integral 1 du+ integral sec^2(x) dx
The integral of sec^2(x) is tan(x)
= integral 1 du+tan(x)
The integral of 1 is u
= u+tan(x)+constant
Substitute the value of u which is equal to
= sec(x):
so our conclusion is
:tan(x)+sec(x)+constant
hope this helps</span>
Answer:
The width measures 2.5 cm
Step-by-step explanation:
Area of triangle = Area of rectangle
1/2 bh = wh
1/2(5)(6) = w(6)
1/2(30) = 6w
15 = 6w
15 ÷ 6 = w
2.5 = w
Answer:
y≤46
it's the third one. hope it helps
Answer:
The height of the tree is 33.6 ft.
Explanation:
Let the height of the tree be y ft. By condition; <span>tan 38= y/43 or y= 43 tan 38 or y=33.6</span>ft [Ans]
I hope my answer has come to your help. God bless and have a nice day ahead!
Answer:
b = 7, c = -44
Step-by-step explanation:
If the quadratic equation has the solutions -11 and 4, the two factors are:
Since when we use the zero factor property we get
x+11=0 ⇒ x= -11
x-4=0 ⇒ x=4
Thus, we have used the zero factor property in reverse to find the factorization of the quadratic equation.
Now we develop the multiplications between parenthesis:
So b is the number that accompanies the x: b = 7
and c is the independent number: c = -44
