Search & Filtering
Find the volume of the region below the surface f(x,y) = 3y^2 + x and above the region of the xy-plane enclosed by the lines y = 2, x=0, y = 0, and y = x - 1.
Find the volume inside the sphere x^2 + y^2 + z^2 =16 and outside the cylinder x^2 + y^2 =4.
Find all points where f fails to be differentiable. Justify your answer. Also draw the graph of f(x) by using
MATLAB.
(a) f(x) = |3x − 2| (b) f(x) = |x
2 −2|
à ¢ ²
, Ã °
à ¢ ²Ã ¢ ²
, Ã °
à ¢ ²Ã ¢ ²Ã ¢ ² and then state the formula for nth derivative à °
(Ã ° )
(a) Ã ° (Ã ° ¥) = Ã °
2Ã ° ¥
(b) Ã ° (Ã ° ¥) = Ã ° Ã ° Ã ° 3Ã ° ¥
(c) Ã ° (Ã ° ¥) = Ã ° Ã ° Ã ° ¥
Draw the graph of first three derivatives of à ° (à ° ¥).
Second order derivative of (log x-x) is
Evaluate lim x-1 (1-xn)1/log(1-x)
Find all points where f fails to be differentiable. Justify your answer. Also draw the graph of f(x) by using
MATLAB.
(a) f(x) = |3x − 2| (b) f(x) = |x
2 −2|
In each part, compute f
′
, f
′′
, f
′′′ and then state the formula for nth derivative f
(n)
(a) f(x) = e
2x
(b) f(x) = sin3x
(c) f(x) = lnx
Draw the graph of first three derivatives of f(x).
