Answer:
<em>π∫52(ey3)2dy</em>
The work I did to solve this equation:
Step 1
<em>ln(3x)=2
</em>
<em>3x=2e
</em>
<em>x=2e3
</em>
Step 2
<em>ln(3x)=5
</em>
<em>3x=5e
</em>
<em>x=5e3</em>
Step 3
<em>y=ln(3x)⟺ey=3x⟺ey3=x</em>
Step 4
π∫52(ey3)2dy
Answer:
Acute angle
Step-by-step explanation:
<h3>
Answer: 5</h3>
=========================================================
One method is to plot the points P(3,6) and Q(7,3) on the same xy grid. Plot a third point R at (3,3). See the diagram below.
A right triangle forms in which we can find the legs PR = 3 and RQ = 4. The hypotenuse is found through the pythagorean theorem.
a^2+b^2=c^2
3^2+4^2 = c^2
9+16 = c^2
c^2 = 25
c = sqrt(25)
c = 5
This is the length of PQ
-----------------------------------
Or you can use the distance formula which is effectively using the pythagorean theorem just in a slightly different format (though it may not be obvious).

The y intercept is the value of y when x=0. Substituting we get
y = 4
Answer: 4