Detemine the amplitude of trigonometric function, Mathematics

Assignment Help:

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.


Related Discussions:- Detemine the amplitude of trigonometric function

Repeated eigenvalues, It is the last case that we require to take a look at...

It is the last case that we require to take a look at. During this section we are going to look at solutions to the system, x?' = A x? Here the eigenvalues are repeated eigen

Trigonometry identity, if x+y+z=pi=180 prove that sin^2x+sin^2y+sin^z-2sinx...

if x+y+z=pi=180 prove that sin^2x+sin^2y+sin^z-2sinx*siny*sinz=2

Grouping-categories of situations requiring division , Grouping - situatio...

Grouping - situations in which we need to find the number of portions of a given size which can be obtained from a given quantity. (e.g., if there are 50 children in a class and t

Brian 100-yard dash time was 2.68 what is the school record, Brian's 100-ya...

Brian's 100-yard dash time was 2.68 seconds more than one school record. Brian's time was 13.4 seconds. What is the school record? The school record is less than Brian's time.

Algebra, prove That J[i] is an euclidean ring

prove That J[i] is an euclidean ring

Combining like terms, i don''t understand what my teacher when she talks ab...

i don''t understand what my teacher when she talks about when she talks about cosecutive integers etc... so can u help me???

Find the rate at which its tip is moving, If the minute hand of a big clock...

If the minute hand of a big clock is 1.05 m long, find the rate at which its tip is moving in cm per minute.

Area of a hyperbolic wedge, The unit circle will be parametrized by (cosw, ...

The unit circle will be parametrized by (cosw, sinw). Provide a point on it, the region cut out by circle, the x-axis, and the line from the origin to this point has covered area w

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd