5.75 is the answer.
If you subtract 43.9 FROM 49.65, that's what you get.
Answer:
2 times x plus 3 times x cubed.
Step-by-step explanation:
2x = 2 * x = two times (multiplied) by x.
+ = plus.
3x^3 = 3 * x^3 = three times (multiplied) by x cubed.
~
Answer:
<h3>

= -1 </h3><h3>

*

= 1.4142</h3><h3>

= π =3.14159</h3><h3>

= π² = 9.8696</h3>
Explanation:
1.) Rewrite √24 =
Rewrite √54 =
Divide both terms by the denominator; √6 cancels. 2-3 = -1
2.) Rewrite as
×
The 3's cancel. 10/2 = 5√2 in the numerator.
√5 × √5 = 5 in the denominator. The 5's cancel.
That leaves √2 ≈1.4142
3.) Divide the terms in the numerator by the term in the denominator.
√2's cancel. 10π/2 = 5π 8π/2 = 4π
Subtract and we are left with π = 3.14159
4.)
The square roots are reciprocals. They multiply to 1
We are left with π × π = π² ≈ 9.8696
<h3>
</h3>
First you divide 39/40
you would get 0.975
First, recall that Gaussian quadrature is based around integrating a function over the interval [-1,1], so transform the function argument accordingly to change the integral over [1,5] to an equivalent one over [-1,1].



So,

Let

. With

, we're looking for coefficients

and nodes

, with

, such that

You can either try solving for each with the help of a calculator, or look up the values of the weights and nodes (they're extensively tabulated, and I'll include a link to one such reference).
Using the quadrature, we then have
