Answer:
8x³ - 22x² + 3x +15
Step-by-step explanation:
I do quick mathz
D) the answers growth because when the number 7 (in that position) is raised to a power it will grow at the rate of 7 to the power of (x)
![hey there!](https://tex.z-dn.net/?f=%3Cb%3Ehey%20there%21)
QUESTION:- The graph of he function f(x) = (x + 1)(x - 4) has x-intercept at ___.
ANSWER:-
We will put f(x) = 0 to find the value of x
So now
f(x) = 0
(x+1)(x-4) = 0
x = -1, 4
So the correct answer is option C. -1 and 4
HOPE IT HELPED YOU.
![y=\displaystyle\int_1^x\sqrt{t^3-1}\,\mathrm dt](https://tex.z-dn.net/?f=y%3D%5Cdisplaystyle%5Cint_1%5Ex%5Csqrt%7Bt%5E3-1%7D%5C%2C%5Cmathrm%20dt)
By the fundamental theorem of calculus,
![\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\mathrm d}{\mathrm dx}\displaystyle\int_1^x\sqrt{t^3-1}\,\mathrm dt=\sqrt{x^3-1}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20dy%7D%7B%5Cmathrm%20dx%7D%3D%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dx%7D%5Cdisplaystyle%5Cint_1%5Ex%5Csqrt%7Bt%5E3-1%7D%5C%2C%5Cmathrm%20dt%3D%5Csqrt%7Bx%5E3-1%7D)
Now the arc length over an arbitrary interval
![(a,b)](https://tex.z-dn.net/?f=%28a%2Cb%29)
is
![\displaystyle\int_a^b\sqrt{1+\left(\frac{\mathrm dy}{\mathrm dx}\right)^2}\,\mathrm dx=\int_a^b\sqrt{1+x^3-1}\,\mathrm dx=\int_a^bx^{3/2}\,\mathrm dx](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cint_a%5Eb%5Csqrt%7B1%2B%5Cleft%28%5Cfrac%7B%5Cmathrm%20dy%7D%7B%5Cmathrm%20dx%7D%5Cright%29%5E2%7D%5C%2C%5Cmathrm%20dx%3D%5Cint_a%5Eb%5Csqrt%7B1%2Bx%5E3-1%7D%5C%2C%5Cmathrm%20dx%3D%5Cint_a%5Ebx%5E%7B3%2F2%7D%5C%2C%5Cmathrm%20dx)
But before we compute the integral, first we need to make sure the integrand exists over it.
![x^{3/2}](https://tex.z-dn.net/?f=x%5E%7B3%2F2%7D)
is undefined if
![x](https://tex.z-dn.net/?f=x%3C0)
, so we assume
![a\ge0](https://tex.z-dn.net/?f=a%5Cge0)
and for convenience that
![a](https://tex.z-dn.net/?f=a%3Cb)
. Then
Answer:
32/5
Step-by-step explanation:
To find this, we'll have to <em>divide</em> 4/5 <em>by</em> 1/8.
This is 4/5 / 1/8, which is 4/5 * 8.
That equals 32/5 :)