Math Problem Statement
Solution
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Questions Analysis and Verification:
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Q9:
The given loop calculates the sum of even numbers from 2 to 6:
Correct answer: 12. -
Q10:
To calculate the cosine of , the code should use:matlabcosd(70) % For degrees
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Q11:
For multiplying elements of array greater than 4 by , the MATLAB statement is:matlabA(A > 4) = -1 * A(A > 4);
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Q12:
To set all negative elements of to , the statement is:matlabA(A < 0) = -0.5;
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Q13:
The sum of the vector is calculated by:matlab[2, 5, 8] % The elements of the vector 2 + 5 + 8 = 15
Correct answer: 15.
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Q14:
The loop calculates the sum of numbers from 1 to 6, skipping numbers less than 4:
Correct answer: 15. -
Q15:
The loop sums numbers from 1 to 5, but breaks when . This happens when , so the loop stops early:
Correct answer: 6.
Additional Help
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Related Questions to Explore:
- How can you optimize a MATLAB loop to skip certain elements?
- What is the difference between
cos
andcosd
in MATLAB? - How can conditional indexing be used in MATLAB for array manipulation?
- How do you handle break statements effectively in loops to prevent premature exits?
- 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
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