2^3 = 8
2^5=32 ..... 32x8=256
The rule for a 90 degree rotation is
(x,y)——>(-y,x)
So let’s take the coordinate (-5,-1) and let’s replace the x and y places together!!!
So that would give us -1•-1 which is just 1
Then -5•1 which is just -5
So the answer is
(1,-5)
sin(3)+cos(3)sin(3)tan(3)3=0=−cos(3)=−1=−4+,∈ℤ=−12+3
sin(3x)+cos(3x) =0 sin(3x) =−cos(3x) tan(3x) =−1 3x =−
π
4
+kπ,k∈
Z
x =−
π
12
+
k
π
3
Since −<<
−
π
<
x
<
π
, −2≤≤3
−
2
≤
k
≤
3
. Thus, the solution set is
{−34,−512,−12,4,712,1112}
Answer:
See below.
Step-by-step explanation:
1)
So we have the limit:

This is equivalent to:

To solve, we can use the following property:

Therefore, our limit is the same as:

We are already given that the limit as x approaches 4 of g(x) is -2. Therefore:

You simply need to evaluate this to solve the limit. I don't have enough information to solve this, so maybe you have something more.
Similarly, for the second one:
2)
We have:

Using the same property:

And we are told that this is 16, so:

And we just need to evaluate this to find the limit.
I hope you find this helpful!
Answer:
y=-1
Step-by-step explanation:
do one half of 30 which is 15 (basically 0.5 multiplied by 30 but easier)
you plug in the 15
do 14-15
since there are not enough positive numbers to solve it becomes -1