The image contains a map of the Russian Empire in the second half of the 18th century with various markings. The task asks to outline the border of Russia in the second half of the 18th century and name its capital. It also asks to color the regions of grain production, identify industrial centers, show import and export routes, and name cities founded for shipbuilding related to the Black Sea Fleet.

Task Breakdown:

• 1. Border and Capital: The image shows a map of the Russian Empire. Identifying the precise border and capital requires external geographical knowledge, as the provided image does not explicitly label the capital.
• 2. Grain Production Regions: These are indicated by yellow shaded areas on the map.
• 3. Industrial Centers: These are marked with circles containing colored sectors. The legend (partially visible and transcribed) links colors to industries like metalworking, metallurgy, textiles, food, and shipbuilding. Specific names of these centers are not provided in the image but would need to be identified and labeled.
• 4. Import/Export Routes: These are shown as colored arrows. Green arrows typically represent exports, and red arrows represent imports. The specific goods associated with these routes are listed separately.
• 5. Shipbuilding Cities: Identifying cities founded for shipbuilding related to the Black Sea Fleet requires knowledge of Russian history and geography beyond what's directly presented on the map, though the presence of port cities like 'Taganrog' (implied by location near the Black Sea) might be relevant.

Note: To fully complete tasks 1, 3, and 5, additional information or external resources would be necessary to identify the capital city, name the industrial centers, and pinpoint the specific shipbuilding cities.