Detemine the amplitude of trigonometric function, Mathematics

1. Consider the trigonometric function f(t) = 31_trigonometric function.png

(a) What is the amplitude of f(t)?

(b) What is the period of f(t)?

(c) What are the maximum and minimum values attained by f(t)?

(d) Sketch the graph of f(t) for t ε [¡6; 6].

2. At rest, the human heart beats once every second. At the strongest part of the beat, a person's blood pressure peaks at 120mmHg. At the most relaxed part of the beat, a person's blood pressure drops to 80mmHg. Supposing that t = 0 corresponds to the peak of the beat, write down a trigonometric function that captures this behaviour. Sketch the blood pressure over two heart beats.

3. The volume of grains in a silo at a particular time (measured in hours) is given by V (t) = 4t(3 - t) m3 . Find the rate of change of the volume of grains in the silo from first principles (using the de¯nition of the rate of change).

4. Consider the function f(x) = 2x2 + 1. Find the equation of the tangent to the graph of f(x) at x = 2. [NOTE: when calculating f'(0)
(2), use first principles.]

Note: There are penalties for late assignments. You must contact your tutor before the due date if you have di±culties making the deadline.

Posted Date: 2/19/2013 1:48:41 AM | Location : United States







Related Discussions:- Detemine the amplitude of trigonometric function, Assignment Help, Ask Question on Detemine the amplitude of trigonometric function, Get Answer, Expert's Help, Detemine the amplitude of trigonometric function Discussions

Write discussion on Detemine the amplitude of trigonometric function
Your posts are moderated
Related Questions
What are some of the interestingmodern developments in cruise control systems that contrast with comparatively basic old systems

Mount Everest is 29,028 ft high. Mount Kilimanjaro is 19,340 ft high. How much taller is Mount Everest? Subtract Mt. Kilimanjaro's height from Mt. Everest's height; 29,028 - 19

Let 0 ! V1 !    ! Vk ! 0 be a long exact sequence of vector spaces with linear maps. Show that P (??1)i dim Vi = 0.

Find the discount factors -Linear interpolation: All rates should be calculated to 3 decimal places in % (e.g. 1.234%), the discount factors to 5 decimal places (e.g. 0.98765

show that all primes except 2, are of the form 4n-1 or 4n+1


How do you calculate for the distance between two co-ordinates?

The scale of a map is 0.5 in 25mi the actual distance between two cities is 725mi write a proportion that represents the relationship how far apart will the cities be on the map