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
Here we have considered the following points. 1. Mathematics is omnipresent, powerful and beautiful. 2. Mathematics is useful in all spheres of life. 3. Mathematics can al

Oscar sold 2 glasses of milk for each 5 sodas he sold. If he sold 10 glasses of milk, how many sodas did he sell? Set up a proportion along with milk/soda = 2/5 = 10x. Cross mu

Use the simplex method to solve the following LP Problem. Max Z = 107x1+x2+2x3 Subject to 14x1+x2-6x3+3x4=7 16x1+x2-6x3 3x1-x2-x3 x1,x2,x3,x4 >=0

If a+b+c = 3a , then cotB/2 cotC/2 is equal to

Write down the system of differential equations for the population of both predators and prey by using the assumptions above. Solution We will start off through letting that

if Mr.Ibias oredered a rectangular pizza and he wants 2/3 of the pizza to be pepperoni and 1/2 of the pizza with pineapple draw and label the pizza with toppings explain your think

vwertical and horizontal

briefly explain how the famous equation for the loss of heat in a cylindrical pipe is derived

How do you find the distributive property any faster?