What would be the effect of this change is: a). both area rate and flow rate would increase.
<h3>Shifting of gear</h3>
Assuming a driver shift into third gear in which there was reduction in the engine speed while on the other hand the tractor speed increase.
The effect of the change will result in the increase in area rate as well as the flow rate.
Therefore the correct option is<em> </em>A.
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Answer:
Step-by-step explanation:
To find the rate of change of temperature with respect to distance at the point (3, 1) in the x-direction and the y-direction we need to find the Directional Derivative of T(x,y). The definition of the directional derivative is given by:
Where i and j are the rectangular components of a unit vector. In this case, the problem don't give us additional information, so let's asume:
So, we need to find the partial derivative with respect to x and y:
In order to do the things easier let's make the next substitution:
and express T(x,y) as:
The partial derivative with respect to x is:
Using the chain rule:
Hence:
Symplying the expression and replacing the value of u:
The partial derivative with respect to y is:
Using the chain rule:
Hence:
Symplying the expression and replacing the value of u:
Therefore:
Evaluating the point (3,1)
Answer:
512 is a perfect cube because 512 = 8 times 8 times 8
Step-by-step explanation:
A perfect cube is a number that can be rewritten as a product of three identical numbers.
For example: 8 is perfect cube as 8 can be rewritten as:
8 = 2 × 2 × 2
So, from the definition of the perfect cubes, the option that matches it is third option.
512 is a perfect cube as it can be expressed as the product of 8 three times.
512 = 8 × 8 × 8
Therefore, third option is correct.
All the remaining options doesn't fulfill the definition of perfect cubes.
To simplify this:
You can factor the denominator and then cancel out some terms. But, this is not factorable. So, I think you are missing a term or you wrote this wrong.
Answer:
0.005
Step-by-step explanation:
To change a percent to a decimal move the decimal point two places to the left.
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