Answer:
-7
Step-by-step explanation:
Answer:
32 and 40
Step-by-step explanation:
Let's call the smaller number x. If the smaller number is x, the equation for this problem is 2x + 8 = 72
Equation:
2x + 8 = 72
2x = 64
x = 32
So now we know the smaller number is 32, so now add 8 and we get 40.
Therefore the 2 numbers are 32 and 40
Answer:04
Step-by-step explanation:
Taking the derivative of 7 times secant of x^3:
We take out 7 as a constant focus on secant (x^3)
To take the derivative, we use the chain rule, taking the derivative of the inside, bringing it out, and then the derivative of the original function. For example:
The derivative of x^3 is 3x^2, and the derivative of secant is tan(x) and sec(x).
Knowing this: secant (x^3) becomes tan(x^3) * sec(x^3) * 3x^2. We transform tan(x^3) into sin(x^3)/cos(x^3) since tan(x) = sin(x)/cos(x). Then secant(x^3) becomes 1/cos(x^3) since the secant is the reciprocal of the cosine.
We then multiply everything together to simplify:
sin(x^3) * 3x^2/ cos(x^3) * cos(x^3) becomes
3x^2 * sin(x^3)/(cos(x^3))^2
and multiplying the constant 7 from the beginning:
7 * 3x^2 = 21x^2, so...
our derivative is 21x^2 * sin(x^3)/(cos(x^3))^2
Answer:
Step-by-step explanation:
Left
As near as I can tell, the question is x^(1/2) * x^(1/2) = The bases are the same, so all you do is add the powers.
x^(1/2 + 1/2) = x^1 which is just x.
Right
The is another one where the work is hard to show. The numerator (m) of the fraction is the power and the denominator (n) is the root. That sentence is all the work there is.
So you would write ![\sqrt[m]{x^{n} } = x^{\frac{m}{n} }](https://tex.z-dn.net/?f=%5Csqrt%5Bm%5D%7Bx%5E%7Bn%7D%20%7D%20%3D%20x%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%20%7D)
