Answer:
We have the function:
r = -3 + 4*cos(θ)
And we want to find the value of θ where we have the maximum value of r.
For this, we can see that the cosine function has a positive coeficient, so when the cosine function has a maximum, also does the value of r.
We know that the meaximum value of the cosine is 1, and it happens when:
θ = 2n*pi, for any integer value of n.
Then the answer is θ = 2n*pi, in this point we have:
r = -3 + 4*cos (2n*pi) = -3 + 4 = 1
The maximum value of r is 7
(while you may have a biger, in magnitude, value for r if you select the negative solutions for the cosine, you need to remember that the radius must be always a positive number)
Answer:
x=3
Step-by-step explanation:
8x - 12 = 4x add 12 to both sides you get 8x=4x+12 subtract 4x on both sides then you get 4x=12 divide 4x on both sides and x = 3 Hope helps!!
8x-12=4x
+12 +12
__________
8x=4x+12
-4x -4x
_______-
4x=12
÷4 ÷4
______
x=3
Hope helps :3
Answer:
57 mph
Step-by-step explanation:
were tryin to find its speed in the terms of mph which is miles per hour, so we need to find out how many miles it goes in a hour, so we divide 399 mph by 7 hours to get 57 mph.
f(3) is equal to -101.
<u>Step-by-step explanation</u>:
- The sequence is followed by f(0)=4
- The given expression is f(n+1)= -3f(n)+1
Put n=0,
f(0+1)= -3f(0)+1
f(1)= -3(4)+1
f(1)= -12+1 = -11
Put n=1,
f(1+1)= -3f(1)+1
f(2)= -3(-11)+1
f(2)= 33+1 = 34
Put n=2,
f(2+1)= -3f(2)+1
f(3)= -3(34)+1
f(3)= -102+1
f(3)= -101
It's C I'm pretty sure and this in English not math
