Find the length of the longest straight line that lies entirely within the surface: This will from A(r = 2,0 = 50°, ) = 20°) to B(r= 4,0 = 30°, ø = 60°) or A(x: = 2 sin 50° cos20°, y = 2 sin50° sin20°, z = 2 cos 50°) to B(x = 4sin 30° cos60°, y = 4sin 30° sin 60°, z = 4 cos 30°) or finally A(1.44, 0.52, 1.29) to B(1.00, 1.73, 3.46). Thus B – A = (-0.44, 1.21, 2.18) and Length = |B – A| = 2.53

Q: 27. Solve: 2 + V12 – 2x = x

A:

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: