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1. Consider the trigonometric function f(t) =
(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.
the number is 605176 the underline digit is 0
The HCF & LCM of two expressions are respectively (x+3) and (x cube-7x+6). If one is x square+2x-3 , other is? Solution) (x+3) * (x^3-7x+6) = (x^2+2x-3) * y ( ) (HCF*LCM=
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writ the equation that describes the motion of a point on the wheel that has a center of 4m off the ground, has radius of 15 cm, makes a full rotation every 10 seconds and starts a
Can you help me with the coursework i have in Matlab?
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1. Construct an isosceles triangle whose base is 7cm and altitude 4cm and then construct another similar triangle whose sides are 1/2 times the corresponding sides of the isosceles
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