Option 1 -> "Intently" means with great concentration and focus, perfectly describing an artist deeply absorbed in contemplating their next creation.
Option 2 -> "Admiringly" means with admiration, which doesn't fit well since the canvas is blank—there's nothing yet to admire.
Option 3 -> "Earnestly" means with sincere and serious conviction, which suits an artist thoughtfully and seriously contemplating their next masterpiece.
Option 4 -> "Anxiously" suggests worry or nervousness, which doesn't match the contemplative, thoughtful tone of the sentence.
Hence, both Option 1 (intently) and Option 3 (earnestly) are appropriate. "Intently" emphasizes the focused, concentrated nature of the artist's gaze, while "earnestly" emphasizes the sincere, serious attitude toward the creative process. Both adverbs effectively capture the artist's state of mind while contemplating a blank canvas. -> correct