F(x)= ∫ln²x/x dx= ∫ln²xd(lnx) cause d(lnx)= (lnx)'dx=1/x dx
= ln³x/3 +C with C is constant
In addition, we have f(2)=6, so we have 6=ln³2/3+C
or C= 6- <span>ln³2/3
And f(x)= </span>ln³x/3+ <span> 6- </span><span>ln³2/3</span>
The equation of a circle is <em>(x-h)^2+(y-k)^2=r^2</em>, where <em>(h,k)</em> is the center and <em>r</em> is the radius. Our equation will be (x-3)^2+(y+2)^2=25 (remember to always square the radius).
:)
Answer:
The answer is C.
Step-by-step explanation:
h(x) = 3x + 2 - 1
Answer:
y = 2x
Step-by-step explanation:
Given y is directly proportional to x then the equation relating them is
y = kx ← k is the constant of proportion
To find k use the condition when x = 4, y = 8, that is
8 = 4k ( divide both sides by 4 )
2 = k, thus
y = 2x ← equation of proportion
