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Q: How to find the gradient and the divergence using the curvilinear coordinates?
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How do you apply the gradient formula in real life problems?

real life using of gradient


How to calculate the gradient from the non linear graph?

Draw a tangent to the curve at the point where you need the gradient and find the gradient of the line by using gradient = up divided by across


Is it possible to calculate the chromacity coordinates using absorbance values?

Yes, it is possible to calculate the chromaticity coordinates using absorbance values. The best way to calculate the chromaticity coordinates using absorbance values is by using the formula x = x/x+y+z.


When is it possible to find the side lengths of a polygon using coordinates?

Always.


Using coordinate geometry how can you prove that the midpoints of the sides of a rhombus determine a rectangle?

Step 1: Identify the coordinates of the vertices of the rhombus. Step 2: Calculate the coordinates of the midpoints of the sides. x-coordinate of midpoint = average of x-coordinates of the two end points, and similarly the y- coordinate. Step 3: Calculate lengths of sides of the quadrilateral formed (using Pythagoras) Step 4: Use step 3 results to show opposite sides are equal. Step 5: Calculate gradient (slope) of any two adjacent sides, if defined. Step 6: The two gradients multiply to -1 which shows that they are perpendicular. 4 and 6 prove that the quadrilateral is a rectangle. If a side of the quadrilateral is vertical, its gradient (step 5) is not defined, but then the adjacent side will be horizontal. And so the two sides are perpendicular.