answer:Job Title: Senior Product Designer Our growing technology company is seeking a highly skilled Senior Product Designer to join our team. The ideal candidate will be responsible for tackling complex user research and interview processes, and must demonstrate a strong sense of ownership over product problems. The successful candidate will have a proven track record of distilling multifaceted design challenges into impactful product decisions. They should possess advanced problem-solving and critical thinking skills to navigate ambiguous and rapidly changing design spaces. Responsibilities: - Conduct user research, create user personas, and map user journeys to inform the product design. - Design intuitive user interfaces, user flows, and interactive prototypes. - Distill complex problems into simple, elegant solutions. - Collaborate with cross-functional teams to identify product improvements and feature enhancements. - Monitor and track usage metrics to inform design decisions and iterate the product. Requirements: - A degree in Product Design, Human-Computer Interaction, or a related field. - 5+ years of experience in product design for web and mobile applications. - Strong experience in conducting user research and user interviews. - Proficiency in design tools such as Sketch, Figma, or Adobe Creative Suite. - Excellent communication skills and ability to work collaboratively with cross-functional teams. If you are a highly skilled Senior Product Designer with a strong sense of ownership over product problems, we encourage you to apply. We offer competitive compensation packages and the opportunity to work on impactful products in a rapidly growing industry.

answer:**Analysis** This problem mainly examines the sine rule, the cosine rule, the basic relationships of trigonometric functions for the same angle, the formulas for the sum and difference of two angles' trigonometric functions, and the application of reduction formulas. From the given information, we can derive 4tan Atan B+tan B=tan A. Combined with tan A cdot tan B=2, we can then find the answer. **Solution** Given: a^{2}=b^{2}+4bcsin A, Also, a^{2}=b^{2}+c^{2}-2bccos A, therefore c^{2}-2bccos A=4bcsin A, therefore 4sin A+2cos A= frac{c}{b}= frac{sin C}{sin B}, Also, sin C=sin (pi-A-B)=sin (A+B)=sin Acos B+sin Bcos A, therefore 4sin Asin B+sin Bcos A=sin Acos B, That is, 4tan Atan B+tan B=tan A, Also, tan A cdot tan B=2, therefore tan B-tan A=-4tan Atan B=-8. Therefore, the answer is boxed{-8}.

answer:Alex is available for a guest lecture in the first two weeks of October and is willing to attend a book launch.

answer:<tool_call>[{name: get_price_from_product_id, arguments: {json_object: {'abc123': {'price': 19.99}, 'xyz789': {'price': 9.99}}, product_id: abc123}}, {name: get_price_from_product_id, arguments: {json_object: {'abc123': {'price': 19.99}, 'xyz789': {'price': 9.99}}, product_id: xyz789}}]</tool_call>