1. At time t = 0 minutes, the temperature of a cup of coffee is 180 degrees Fahrenheit. Left in a room

whose temperature is 70 degrees Fahrenheit, the coffee cools so that its temperature function T(t),

also measured in degrees Fahrenheit, satisfies the differential equation * = - T +35.

(a) Find an expression for T(t) using the initial condition T(0) = 180.

(b) Find lim T(t). Explain what this limit means in the context of the problem.

(c) At what time t is the temperature of the coffee decreasing at the rate of 15 degrees Fahrenheit per

minute? How hot is the coffee at that point? Indicate units of measurement.

Find the value of tan theta if sin theta = 12/13 and theta is in quadrant 2

Need on this geometry question. explain how you did it.

First to answer all gets a donation question 3(multiple choice worth 1 points) (04.01 lc) which of the following levels is lower than cells in the hierarchy of organization of living things? molecules organs organ systems tissues question 4(multiple choice worth 1 points) (04.01 lc) which of these represents an individual form of life such as an animal, plant, or single-celled life form? organ organism organ system tissue question 5(multiple choice worth 1 points) (04.03 lc) what are the green structures inside plant cells where photosynthesis takes place called? chloroplast mitochondrion nucleus vacuole question 6(multiple choice worth 1 points) (04.03 lc) which of the following best matches a part of a living cell with the function it performs? cytoplasm: fluid which carries the nucleus and other organelles vacuole: fluid which carries the nucleus and other organelles cytoplasm: directs all of the cell's activities vacuole: directs all of the cell's activities question 7(multiple choice worth 1 points) (04.03 mc) read the table below. organelles of plant cells present in both plants and animals present in plants but not animals small in animals but large in plants organelle a organelle b organelle c which statement is most likely correct? organelle a is chloroplast, organelle b is cytoplasm, and organelle c is nucleus. organelle a is mitochondrion, organelle b is cytoplasm, and organelle c is nucleus. organelle a is cell wall, organelle b is chloroplast, and organelle c is mitochondrion. organelle a is mitochondrion, organelle b is chloroplast, and organelle c is vacuole. question 8(multiple choice worth 1 points) (04.03 mc) what will most likely happen in the absence of a nucleus? genetic information will not be transmitted by the cell. energy will not be released during cellular respiration. the cell will not store food, water, nutrients, and waste. the cell will lose its shape and structure.