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Slope of Tangent Line : It is the next major interpretation of the derivative. The slope of the tangent line to f ( x ) at x = a is f ′ ( a ) . Then the tangent line is given by,
y = f ( a ) + f ′ ( a ) ( x - a )
Example : Determine the tangent line to the given function at z = 3 .
Solution : The derivative is,
Now all that we require is the function value & derivative (for the slope) at z = 3 .
R (3) =√7 m = R′ (3) = 5 /2√ 7
Then the tangent line is,
y = √7 + 5/2√7(z-3)
distance between pair of straight lines
marianne took $100.00 to a store that was holding a no-tax sale. she bought a shirt for $24.99, sandals for $18.50, shorts for $16.49, and a beach bag for $21.69. how much did she
21-83/4
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Explain Bachet Equation?
(a) Find the curve on the surface z=x 3/2 joining the points(x,y,z)=(0,0,0) and (1,1,1) has the shortest arc lenght? (b) Use a computer to produce a plot showing the surface an
Terry earns $680 per week. He is entitled to 4 weeks annual leave and receives an additional holiday loading of 17.5%. Calculate his total pay for this holiday period.
An elevated cylindrical shaped water tower is in require of paint. If the radius of the tower is 10 ft and the tower is 40 ft tall, what is the net area to be painted? (π = 3.14)
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