The function y = |2 - 3x|
A. is continuous $$\forall {\text{x}} \in {\text{R}}$$ and differentiable $$\forall {\text{x}} \in {\text{R}}$$
B. is continuous $$\forall {\text{x}} \in {\text{R}}$$ and differentiable $$\forall {\text{x}} \in {\text{R}}$$ except at x = $$\frac{3}{2}$$
C. is continuous $$\forall {\text{x}} \in {\text{R}}$$ and differentiable $$\forall {\text{x}} \in {\text{R}}$$ except at x = $$\frac{2}{3}$$
D. is continuous $$\forall {\text{x}} \in {\text{R}}$$ except x = 3 and differentiable $$\forall {\text{x}} \in {\text{R}}$$
Answer: Option C
This Question Belongs to Engineering Maths >> Calculus
The Taylor series expansion of 3 sinx + 2 cosx is . . . . . . . .
A. 2 + 3x - x2 - \[\frac{{{{\text{x}}^3}}}{2}\] + ...
B. 2 - 3x + x2 - \[\frac{{{{\text{x}}^3}}}{2}\] + ...
C. 2 + 3x + x2 + \[\frac{{{{\text{x}}^3}}}{2}\] + ...
D. 2 - 3x - x2 + \[\frac{{{{\text{x}}^3}}}{2}\] + ...
B. \[\infty \]
C. \[\frac{1}{2}\]
D. \[ - \infty \]
A. \[1 + \frac{{{{\left( {{\text{x}} - \pi } \right)}^2}}}{{3!}} + ...\]
B. \[ - 1 - \frac{{{{\left( {{\text{x}} - \pi } \right)}^2}}}{{3!}} + ...\]
C. \[1 - \frac{{{{\left( {{\text{x}} - \pi } \right)}^2}}}{{3!}} + ...\]
D. \[ - 1 + \frac{{{{\left( {{\text{x}} - \pi } \right)}^2}}}{{3!}} + ...\]
Join The Discussion