Answer:
1,2 and 4 are conservatives
3 is not conservative
Step-by-step explanation:
We calculate the Curl F
Remember that:
Curl F = <>
1. Curl F = <0,0,5-5> = <0,0,0>
The potential function f so that ∇f=F
f(x,y,z) =
Then F is conservative
2. Curl F = < 0, 0 ,0>
The potential function f so that ∇f=F
f(x,y,z) =
Then F is conservative
3. Curl F = <0 ,0, 10+3xsin(y) - (-cos(y))>
= <0 ,0 , 10 +3xsin(y) + cos(y)<
How the field's divergence is not zero the vector field is not conservative
4. Curl F = <0, 0, 0>
The potential function f so that ∇f=F
f(x,y,z) =
Then F is conservative
Let Issac work for x hours, and Ruby works 8 hours more than of Issac, so Ruby work for hours.
And Svetlana worked four times of Ruby, therefore Svetlana worked for
And total hours they worked together is 136. That is
So Issac worked for 16 hours, Ruby worked for 24 hours and Svetlana worked for 24 times 4 equals 96 hours .
Answer:
A. -1.6; not significant
Step-by-step explanation:
The z-score of a data set that is normally distributed with a mean of and a standard deviation of , is given by:
.
From the question, the test score is: , the mean is , and the standard deviation is .
We just have to plug these values into the above formula to obtain:
.
This simplifies to: .
.
We can see that the z-score falls within two standard deviations of the mean.
Since the value is not significant.
The correct answer is A. -1.6; not significant
Here is the answers to these questions ...
1. B
2. A
3.42
Answer:
b
Step-by-step explanation:
(2x + 6) x (-5x -9)
-10x^2 -18 - 30 -54
-10x^2 - 38 - 54