Logarithmic functions are the inverses of exponential functions. The inverse of the exponential function y = ax is x = ay. The logarithmic function y = logax is defined to be equivalent to the exponential equation x = ay. y = logax only under the following conditions: x = ay, a > 0, and a≠1.
Step-by-step explanation:
∫ dt / (cos²(t) ⁹√(1 + tan(t)))
If u = 1 + tan(t), then du = sec²(t) dt.
∫ du / ⁹√u
∫ u^(-1/9) du
9/8 u^(8/9) + C
9/8 (1 + tan(t))^(8/9) + C
PART A :
A,B,C,D
Because if the spinner was spinning on time it would have either landed on any of the given parts a,b,c,d once
PART B:
A and B
They are equally likely to occur because both of them have a portion of 90 degrees.
Hopefully my answer helped :)
Answer:
x= -4
x= 4
Step-by-step explanation:
This is a quadratic equation, and can be solved very quickly since it only has two terms, the square one and the free term.
Hence the solutions is obtained following the steps from below:
x2-16=0
Lets sum to both side 16
x2-16=0+16
x2=16
Now, lets apply square root to whole equation:
The bars means that x can be-4 o 4, since -4^2=16 and 4^2=16
