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TRIGONOMETRY: "The mathematician is fascinated with the marvelous beauty of the forms he constructs, and in their beauty he finds everlasting truth."
Example:
If xcosθ - ysinθ = a, xsinθ + ycos θ = b, prove that x2+y2=a2+b2.
Ans: xcosθ - y sinθ = a xsinθ + y cosθ = b Squaring and adding x2+y2=a2+b2.
What do you need to multiply 30 by to get 1500? This will give you the top edge length of the rectangle. Can you then figure out what must go below the 30 in order to get the area
Find the amount of sheet metal need to form a conical funnel of base radius 30cm with a vertical height of 50cm, allowing for 0.5cm overlap. Find the total surface area?
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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 bl
1. Find the third and fourth derivatives of the function Y=5x 7 +3x-6-17x -3 2. Find the Tangent to the curve Y= 5x 3 +2x-1 At the point where x = 2.
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Consider the differential equation give by y′ = -10(y - sin t) (a) Derive by hand exact solution that satis?es the initial condition y(0) = 1. (b) Numerically obtain the s
Write a Matlab function MyIVP that solves an initial-value problem (IVP) for a system of ordinary differential equations (ODEs) of the form x ?(t) = f (t, x(t)), where f : R × Rn ?
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