Can you find out a harder question my child is so smart I can’t keep up with her

Mathematics

2 answers:

4vir4ik [10]3 years ago

8 0

Would she like to solve a calculus i am stuck on by any chance

zloy xaker [14]3 years ago

5 0

Answer:

what they currently going over?

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Rewrite <br><img src="https://tex.z-dn.net/?f=%20%7Bcos%7D%5E%7B4%7D%20x" id="TexFormula1" title=" {cos}^{4} x" alt=" {cos}^{4}

erastovalidia [21]

All you need is the double angle identity:

$\cos^2x=\dfrac{1+\cos2x}2$

So we have

$\cos^4x=(\cos^2x)^2=\left(\dfrac{1+\cos2x}2\right)^2=\dfrac{1+2\cos2x+\cos^22x}4$

Apply the identity again to the squared term:

$\cos^4x=\dfrac{1+2\cos2x+\frac{1+\cos4x}2}4=\dfrac{3+4\cos2x+\cos4x}8$

6 0

3 years ago

The height of a cone is equal to the diameter of the base. What expression represents the volume of the cone, in cubic units?

Maurinko [17]

By definition, the volume of a cone is given by:
$V = (1/3) * (\pi) * (r ^ 2) * (h)
$
Where,
r: radius of the circular base
h: height of the cone
Let's define a variable:
x: diameter of the base
We have then that the radio is:
$r = x / 2
$
The height is:
$h = x
$
Substituting values:
$V = (1/3) * (\pi) * ((x / 2) ^ 2) * (x)
$
Rewriting:
$V = (1/3) * (\pi) * (x ^ 2/4) * (x)

V = (1/12) * (\pi) * (x ^ 3)$
Answer:
An expression that represents the volume of the cone, in cubic units is:
$V = (1/12) * (\pi) * (x ^ 3)$