Answer:
a) 
b)
Step-by-step explanation:
We are given in the question:

F(x,y,z) = (y, -x, z)
a) 
We differentiate with respect to t.

b) F(c(t))
This is a composite function.


Answer: Choice D 
Reason:
74% = 0.74 represents the probability of him making any given free throw.
This means 1 - 0.74 is the probability of him missing.
Getting four misses in a row has a probability of (1-0.74)^4 which is the same as writing 
In other words, we multiply exactly four copies of (1-0.74) to get our answer.
It would help to first find the unit rate. We know that the plane flies 810 km per 1.5 hours. Divide by 1.5 on both sides:
810/1.5 = 540 km/hour
Then, multiply both the hour and the distance by 2:
540 * 2 = 1080 km/2 hours.
Answer:
y + 10 = 0
Step-by-step explanation:
Slope of horizontal line is zero (0)
m = 0
By point slope form of a line.

Answer:
A culture started with 5000 bacteria. after 4 hours, it grew to 6000.
=> Increasing rate = difference/time = (6000 - 5000)/4 = 250 bacteria/hour
=> The number of bacteria after 17 hours:
N = 5000 + 250 x 17 = 9250 bacteria
Hope this helps!
:)