Posted: October 1st, 2022

Mat 101

Mat 101
Activity 1
Discover the restrict values:
Activity 2
Discover all vertical and horizontal asymptotes to
Activity three
Discover the sums:
( b is to infinity)
Activity four
The focus of an algae within the fjord varies periodically with a interval of 12 months. Name this focus M(t) the place t is time in months from 1 January of a 12 months. The largest the worth of M(t) is M(7) = 500 and the smallest worth is M(1) = 100.
a) Assume that M(t) could be expressed within the kind
Decide C0, C, T and t0 from the data given above.
b) When within the 12 months is M(t) = 400?
c) A biologist surveys two algae, A and B, that are discovered within the fjord on the similar time. They develop in another way:
What’s the most worth for A(t) + B(t)? plots with an acceptable device and reads the graph.
Activity 5
a) Discover all options that fulfills zero = t = 2p:
b) Write 5 cos (3t) – 12 sin (3t) within the kind C cos (? (t – t0)).
Activity 6
You boil one egg. Whenever you take the egg out of the boiling water, the temperature contained in the egg is 90?C. The temperature within the room is 20?C. 77 seconds after the egg is taken out of the water, the temperature within the egg is 80?C. Let E(t) denote the temperature contained in the egg, the place t is the time in seconds from when the egg is taken out of the boiling water. We assume that the distinction between E(t) and the room temperature decreases exponentially, which implies
Decide c and a from the data given above. How lengthy does it take from the time the egg is taken out of the boiling water till the temperature within the egg is 40?C?

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Tags: Mat 101