Q: Does the word "carry" mean the same thing in "I carry these thoughts in the back of my head." and "Amanda carried the package from home to New York."?

A: different meanings

Q: Does the word "product" mean the same thing in "This is a product of lime and nitric acid." and "His reaction was the product of hunger and fatigue."?

A: different meanings

Q: Does the word "give" mean the same thing in "What will you give her for her birthday?" and "She gave a pair of shoes to her husband for their anniversary."?

A: the same meaning

Q: Does the word "be" mean the same thing in "I shall be writing to you soon." and "Ignorance is bliss."?

A:
the same meaning