Recall that
d/dx sech(x) = - sech(x) tanh(x)
d/dx tan⁻¹(x) = 1/(1 + x²)
Then by the chain rule,
dy/dx = - sech(x) tanh(x) / (1 + x²)
PT 1
the circumference of a circle is always pi times the diameter. The diameter is 2 times the radius, because diameter is all the way across the circle, whereas radius is from the center of the circle to the edge. Anyways, if the radius is 6, multiply it by 2 and you get 12, so 3.14 times 12 is 37.68, which is the answer.
PT 2
diameter=9 cm. So, just do 9 times 3.14. (diameter times pi = circumference.)
(2*radius times pi = circumference.)
9 times 3.14 is 28.26
:3
Answer:
A: 6x⁸y⁵
B: 4x⁵z⁸
C: 48a¹²b⁵
D: 6s⁹t³
Step-by-step explanation:
When you multiply 2 exponents together, you add them. When you power an exponent, you multiply the 2 exponents together,
3x²2y⁴(2x⁶y)
6x⁸y⁵
xz³(4x⁴z⁵)
4x⁵z⁸
(4a³)²(3a⁶b⁵)
16a⁶(3a⁶b⁵)
48a¹²b⁵
6s⁵t(s⁴t²)
6s⁹t³
No..... (I'm just adding so brailny accepts it)
