Well, each of them is more complicated that the typical average Brainly question. But yes, with some time and effort invested, I believe I could answer all three.
Answer:
tan (x eˣ) + C
Explanation:
∫ (eˣ + x eˣ) / (cos² (x eˣ)) dx
First, use u-substitution.
u = x eˣ
du = (eˣ + x eˣ) dx
∫ 1 / (cos² u) du
∫ sec² u du
tan u + C
Substitute back:
tan (x eˣ) + C
Answer:
hub moon merc saturn sun galaxy deep field
Explanation:
The time taken for the mass to reach the bottom of the inclined plane after it is released from rest is 0.78 s.
<h3>
Height of the inclined plane</h3>
The height of the inclined plane is calculated as follows;
h = L(sin 37)
where;
- h is height of the plane
- L is length of the plane
h = 5 x sin(37)
h = 3.01 m
<h3>Time of motion of the mass</h3>
t = √(2h/g)
t = √(2 x 3.01 / 9.8)
t = 0.78 s
Thus, the time taken for the mass to reach the bottom of the inclined plane after it is released from rest is 0.78 s.
Learn more about time of motion here: brainly.com/question/2364404
#SPJ1