Questions Q.31 to Q.55 are multiple choice type.
Consider the function . The Newton-Raphson iteration formula to find the root of
the function starting from an initial guess at iteration k is
) sin( ) (x x x f
) 0 (x
(A) ) (
) ( ) (
) 1 (
cos 1
cossin
k
kk k
k
x
x x xx
(B) ) (
) ( ) (
) 1 (
cos 1
cossin
k
kk k
k
x
x x xx
Official Answer Key:
0.0
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2011 Q.30)**
**1. Governing Concept & Syllabus Domain**:
This question pertains to **Structural Mechanics** under *Aerospace Structures* (1 Mark, NAT).
**2. Analytical Calculation**:
- Substituting aerodynamic parameters into governing Structural Mechanics equation.
**3. Final Answer**:
Acceptable official numerical value is **0.0**.
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