Answer:
All real numbers
Step-by-step explanation:
Answer:
B. x = 2.77
Step-by-step explanation:
3^x = 21
You first look for a base for 21 that is 3 to the power of something.
21 = 3^2.77
So 3^x = 2^2.77
They have the same base so
x= 2.77
Answer:
A
Step-by-step explanation:
mid point of AC=((2m+2p)/2,(2n+2r)/2)=(m+p,n+r)
Answer:
See below in bold.
Step-by-step explanation:
To do these we add or subtract 360 degrees or 2 pi radians. Sometimes multiple actions are required.
11. Adding 360 to -545:
= -185
185 + 360 = 175
The other angle is 185 degrees so they are not coterminal.
12. 161pi/36 - 2pi
= 161pi /36 - 72pi/36
= 89pi/36
89pi/36 - 72pi/36
= 17pi/36.
So these are coterminal.
13. -330 + 360 = 30 degrees.
14. -435 + 360
= -75
-75 + 360
= 285 degrees
15. 640 - 360 = 280 degrees.
16. -442 + 360 = -82
-82 + 360 = 278 degrees.
Answer:
h'(x) = (-x² ln x + x² + 1) / (x (x² + 1)^(³/₂))
Step-by-step explanation:
h(x) = ln x / √(x² + 1)
You can either use quotient rule, or you can rewrite using negative exponents and use product rule.
h(x) = (ln x) (x² + 1)^(-½)
h'(x) = (ln x) (-½) (x² + 1)^(-³/₂) (2x) + (1/x) (x² + 1)^(-½)
h'(x) = (-x ln x) (x² + 1)^(-³/₂) + (1/x) (x² + 1)^(-½)
h'(x) = (x² + 1)^(-³/₂) (-x ln x + (1/x) (x² + 1))
h'(x) = (1/x) (x² + 1)^(-³/₂) (-x² ln x + x² + 1)
h'(x) = (-x² ln x + x² + 1) / (x (x² + 1)^(³/₂))
