Calculus - Related Rates
When a metal rod is cooled, its length decreases at a rate of 0.03cm/min and its radius increases at a rate of 0.004cm/min. Find the rate of change of the volume when the length is 1.7m and the radius is 3cm.

I need step by step help please

11.97cm³/min

Asmall french-themed cafe has just introduced a quiche, a baked dish made with a pastry crust and a filling of beaten eggs and cream. quiche is frequently flavored by adding vegetables, meat and seafood. what does the chef ask the prep cooks to do so the vegetables in the dish bake evenly? a. choose special out-of-season vegetables b. wash the vegetable dishes extra clean c. label all the vegetable ingredients d. cut the vegetable pieces into the same size e. cut the vegetable pieces into a wide variety of interesting shapes

Amanda, a forensics expert, has been called in to examine blood samples and prints found at a crime scene. she conducts a thorough analysis of the matter using her expertise and knowledge. she then prepares forensic reports to support the police investigation. what type of evidence has amanda provided in this situation? a. real evidence b. testimonial evidence c. direct evidence d. circumstantial evidence

Choose the description that best matches each word. write the correct letter in the blank. 1. ostinato a. large, extended composition for chorus and orchestra 2. atonality b. full orchestra 3. musicology c. festive, march-like opening to a play or “semi-opera” 4. concerto d. small group of solo instruments 5. minimalism e. music contrasting a full orchestra and solo instruments 6. art song f. music played under the action to influence the mood 7. strophic form g. a vocal song focusing on artistic expression 8. incidental h. each stanza of a poem is set to the same music 9. oratorio i. repeated musical pattern that provides unity to a piece 10. dissonance j. steady beat; simple harmonies; short, repetitive melody 11. concertino k. harsh, unstable sounding of pitches; harmonic tension 12. tutti l. all 12 tones of chromatic scale, no tonal center 13. entrada m. the historical and scientific study of music