Math Problem Statement

What is the value of x after executing the given MATLAB code snippets and solving the mathematical operations?

Solution

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Questions Analysis and Verification:

  1. Q9:
    The given loop calculates the sum of even numbers from 2 to 6:
    x=0+2+4+6=12x = 0 + 2 + 4 + 6 = 12
    Correct answer: 12.

  2. Q10:
    To calculate the cosine of 7070^\circ, the code should use:

    matlab
    cosd(70) % For degrees
  3. Q11:
    For multiplying elements of array AA greater than 4 by 1-1, the MATLAB statement is:

    matlab
    A(A > 4) = -1 * A(A > 4);
  4. Q12:
    To set all negative elements of AA to 0.5-0.5, the statement is:

    matlab
    A(A < 0) = -0.5;
  5. Q13:
    The sum of the vector [2:3:8][2:3:8] is calculated by:

    matlab
    [2, 5, 8] % The elements of the vector 2 + 5 + 8 = 15

    Correct answer: 15.

  6. Q14:
    The loop calculates the sum of numbers from 1 to 6, skipping numbers less than 4:
    x=0+4+5+6=15x = 0 + 4 + 5 + 6 = 15
    Correct answer: 15.

  7. Q15:
    The loop sums numbers from 1 to 5, but breaks when mod(n,4)==0\text{mod}(n, 4) == 0. This happens when n=4n = 4, so the loop stops early:
    x=0+1+2+3=6x = 0 + 1 + 2 + 3 = 6
    Correct answer: 6.

Additional Help

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Related Questions to Explore:

  1. How can you optimize a MATLAB loop to skip certain elements?
  2. What is the difference between cos and cosd in MATLAB?
  3. How can conditional indexing be used in MATLAB for array manipulation?
  4. How do you handle break statements effectively in loops to prevent premature exits?
  5. What is the significance of mod in finding divisors or conditions in loops?

Tip:

In MATLAB, vectorized operations (e.g., A(A > 4) = -1 * A(A > 4);) are faster than loops when working with arrays. Always prefer these where possible!

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Math Problem Analysis

Mathematical Concepts

Loops and Iteration
Indexing in Arrays
Trigonometric Functions
Summation of Sequences
Conditional Statements

Formulas

Sum of arithmetic sequences
Cosine function in degrees: cosd(angle)
Conditional indexing in arrays: A(condition) = expression
Modulo operation: mod(a, b)

Theorems

Basic Arithmetic Properties
Trigonometric Function Properties
Conditional Execution in Loops

Suitable Grade Level

Undergraduate Programming (MATLAB) or Advanced High School Math