Answer:
So, the volume V is
Step-by-step explanation:
We have that:
We have the formula:
We calculate the volume V, we get
![V=2\pi\int_a^b x(g(x)-f(x))\, dx\\\\V=2\pi\int_0^1 x(7x-0)\, dx\\\\V=2\pi\int_0^1 7x^2\, dx\\\\V=2\pi\cdot 7\left[\frac{x^3}{3}\right]_0^1\\\\V=14\pi\left(\frac{1}{3}-\frac{0}{3}\right)\\\\V=\frac{14\pi}{3}](https://tex.z-dn.net/?f=V%3D2%5Cpi%5Cint_a%5Eb%20x%28g%28x%29-f%28x%29%29%5C%2C%20dx%5C%5C%5C%5CV%3D2%5Cpi%5Cint_0%5E1%20x%287x-0%29%5C%2C%20dx%5C%5C%5C%5CV%3D2%5Cpi%5Cint_0%5E1%207x%5E2%5C%2C%20dx%5C%5C%5C%5CV%3D2%5Cpi%5Ccdot%207%5Cleft%5B%5Cfrac%7Bx%5E3%7D%7B3%7D%5Cright%5D_0%5E1%5C%5C%5C%5CV%3D14%5Cpi%5Cleft%28%5Cfrac%7B1%7D%7B3%7D-%5Cfrac%7B0%7D%7B3%7D%5Cright%29%5C%5C%5C%5CV%3D%5Cfrac%7B14%5Cpi%7D%7B3%7D)
So, the volume V is
We use software to draw the graph.
Answer:
991041.2
Step-by-step explanation:
You just have to use a calculator and the order of operations
The value of X is 9
Explanation: umm i think you have to divide 45 with 5 = 9
Answer:
Step-by-step explanation:
The are similar. That means that one could have its sides measured in miles and the other measured in a few inches. All three angles could be equal, but they are not congruent.
You need at least one <em>properly</em> placed side to make them congruent.
Answer:
All of them are polynomial functions
Step-by-step explanation:
Remember that a polynomial function of x is a function whose value f(x) is always equal to 
for a fixed n≥0 (the degree of f) and fixed coefficients 
For example, 
is a polynomial function, but 
is not because 
is not a nonnegative power of x. Another example of a non-polynomial function is 
.
f(x)=4⋅11x is polynomial with degree 1 and 
. For the same reasons, f(x)=3⋅18x and f(x)=10⋅17x are polynomial functions.
f(x)=−4x³−4x²+5x+1 is a polynomial function of degree 3 with 
. and f(x)=−2x−1 is a polynomial function of degree 1 and coefficients 
.
