Substitute
and
. Then the integral transforms to

Apply the power rule.

Now put the result back in terms of
.

Answer:
t=2
Step-by-step explanation:
The slope is given by
m = (y2-y1)/(x2-x1)
We have points (3,10) and (5,t) and the slope is -4
Substituting these in
-4 = (t-10)/ (5-3)
Simplifying
-4 = (t-10) / 2
Multiply by 2 on both sides
-4 = (t-10) / 2 *2
-8 = t-10
Add 10 on both sides
-8+10 = t-10+10
2 = t
Answer:
1545.66 rad/h
Step-by-step explanation:
We need to find the angular velocity in rad/hour when wind is moving with a speed of 4.1 rpm.
We know that,
1 revolution = 2π rad
1 hour = 60 minute
So,

So, the required angular velocity is 1545.66 rad/h.
<h2>Hello There today we will solve your problem</h2>
<em>Response-</em>
<em>ABC is absolutely a right triangle</em>
<em>we can use the pythagorean theorem to solve this</em>
<h3><em>Definitions</em></h3>
Right Triangle - <em>A right triangle or right-angled triangle, or more formally an orthogonal triangle, is a triangle in which one angle is a right angle. The relation between the sides and other angles of the right triangle is the basis for trigonometry. The side opposite to the right angle is called the hypotenuse.</em>
Pythagorean Theorem - <em>In mathematics, the Pythagorean theorem, or Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.</em>
<em>_________________</em>
<em>To use to the Pythagorean Theorem it is</em>

For our equation
would be
would be 
<em>_________________</em>
<h2><em>Solve</em></h2>

Since we got
this is a right triangle since it's what we had before.