Answer:
Step-by-step explanation:
1) True. This is because the divergence of F is 1, thus, F is a linear function. Orientation is given outward to the surface. Linear function double integrated over a surface with outward orientation gives volume enclosed by the surface.
2) True. This is primarily what the Divergence theorem is.
3) False. If F was 3/pi instead of div(F), then the statement would have been true.
4) False. The gradient of divergence can be anything. The curl of divergence of a vector function is 0, not the gradient o divergence.
5) False. While finding Divergence, derivatives are taken for different variables. Since the derivatives of constants are 0, therefore, both the vector functions F and G can be different constant parts of there components even if their divergences are equal.
<span>The integer -1 has an absolute value of 1, which is greater than itself. Since all negative integers are by definition integers, their respective absolute values will be greater than themselves.</span>
The answer would be $1.75 (Rounded off to the nearest cent).
Substitute the given cost of each pint of fruit to the equation. Transpose and simplify, to get the price of a pint of veggies.
Given: <span>5v + 7f = 28.70; f = $2.85
Solution: </span><span>5v + 7(2.85) = 28.70
</span><span>5v + 19.95 = 28.70
5v = 8.75
v = 1.75</span>
So approximately 14.5% of the scores are higher than 600. This means in a sample of 7500, one could expect to see
scores above 600.
Step-by-step explanation:
<u>Step 1: Convert into expressions</u>
y = one-fourth x minus 1 → 
y = negative one-half x minus one-fourth → 
They intersect at 
Answer: Option A, (1, negative three-fourths)
