Answer:
Step-by-step explanation:
To solve for v, reverse the operations performed on it, starting with the equation provided. Here, v is affected by:
- being multiplied by t
- subtracting gt^2 from the result
To start, we first need to add gt^2 back to the equation to counteract the subtraction:
h + gt^2 = vt
Next, we undo the multiplication by dividing the entire expression by the coefficient of v:
(h + gt^2)/t = v
20*117.98 + 20*124.32 = $4846.00
<span>$4846.00*1.02 = $4942.92 </span>
<span>40*128.48 = $5139.20 </span>
<span>0.02*5139.20 = $102.78 </span>
<span>$5139.20 - $102.78 = $5036.42 </span>
<span>$5036.42 - $4942.92 = $93.50,
Thus, the result is (B)</span>
78 can be expressed as seventy-eight, 78 over 1, and 78/1.
Additionally, it can be represented as 78/100 and 1/78, which are different fractions describing the same number.
Answer:
Step-by-step explanation:
1) True. This stems from the fact that the divergence of F is 1, indicating that F is a linear function. The orientation is outward from the surface. Integrating a linear function over a surface with outward orientation leads to the volume enclosed by that surface.
2) True. This is fundamentally what the Divergence theorem states.
3) False. Had F been specified as 3/pi instead of div(F), this claim would have held true.
4) False. The gradient of divergence can vary. The curl of the divergence of a vector function is 0, contradicting the notion of the gradient of divergence being 0.
5) False. While calculating divergence, derivatives are computed for different variables. Since the derivative of constants is 0, both vector functions F and G can contain distinct constant components even when their divergences are equal.
